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explain your reasoning. 6: a wheel falls off an airplane and takes 8 s to reach the ground. if there were no air resistance, the wheel's final speed would be 6: a study of motor vehicle rates in the 50 states reveals that traffic death rates (deaths per 100 million motor vehicle miles driven) can be modeled by the normal curve. the data suggest that the distribution has a mean of 5.3 and a standard deviation of 1.3. sketch the normal curve, showing the mean and standard deviation. 6: a student averages 84 on five tests. if the student received grades of 84, 82, 81, and 79 on the first four exams, what grade did the student receive on the fifth exam? 6: a room measures 15 ft by 19 ft. the ceiling is 10 ft above the floor. the door is 3 ft by 7 ft. a gallon 6: a researcher used stepwise regression to create regression models to predict birthrate (births per1,000) using five predictors: lifeexp (life expectancy in years), infmort (infant mortality rate),density (population density per square kilometer), gdpcap (gros 6: a researcher predicts that listening to music while solving math problems will make a particular brain area more active 6: a rectangular sheet of metal is 10 cm longer than it is wide. squares, each 5 cm on a side, are cut from the corners of the sheet, and the flaps are bent up to form an open-topped box having a volume of 6 l. find the original dimensions of the sheet of metal. (recall that 1 l = 1000 cm3.) 6: a computer with an old processor locks up if more than 4 applications are running simultaneously. if the owner has 20 applications stoed in his program file, how many different sets of 4 can he run, so that his computer does not lock up? 6: a computer can execute 36 instructions per microsecond. 6: a child is one third the age of an older sibling. the sum of the children’s ages is 16. 6: a certain airplane has two independent alternators to provide electrical power. the probability that a given alternator will fail on a 1-hour flight is .02 6: 9x-7y=-7 6: 9.54 faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more 6: 6) working together, jenny and natalie can mop a warehouse in 5.14 hours. had she done it alone it would have taken natalie 12 hours. how long would it take jenny to do it alone? 6: 56 a coin was flipped 60 times and came up heads 38 times. (a) at the .10 level of significance, is the coin biased toward heads? show your decision rule and calculations. (b) calculate a p-value and interpret it. 6: 5. when managing a business, it is important to take inventory of where your money is spent. you have a monthly budget of $5,000. refer to the table below and answer the questions that follow. round your answers to the nearest tenth of a percent. 6: 4x 9y=80 6: 4. the line represents an estimate of the average cost of gasoline for each year. the line estimates the price of gasoline in january of each year (bureau of labor statistics, 2006). a) do you expect the lines to be intersecting, parallel, or perpendicular? explain your reasoning. b) use the equations of the lines to determine if they are parallel. what did you find? c) did your answer to part b confirm your expectation in part a? 6: 4. the line represents an estimate of the average cost of gasoline for each year. the line estimates the price of gasoline in january of each year (bureau of labor statistics, 2006). 6: 3x+2y 6 graph 6: 2x3 – 3xy 6: 2. the equation gives the distance, d, in miles that a person can see to the horizon from a height, h, in feet 6: 15x + 9y = –27 6: 15.28 can people really identify their favorite brand of cola? volunteers tasted coca-cola classic, pepsi, diet coke, and diet pepsi, with the results shown below. research question: at α = .05, is the correctness of the prediction different for the two types of cola drinkers? could you identify your favorite brand in this kind of test? since it is a 2 × 2 table, try also a two-tailed two-sample z test for π1 = π2 (see chapter 10) and verify that z2 is the same as your chi-square statistic.which test do you prefer? why? (data are from consumer reports 56, no. 8 [august 1991], p. 519 6: 13. if two planes leave the same airport at 1:00 pm, how many miles apart will they be at 3:00 pm if one travels directly north at 150 mph and the other travels directly west at 200 mph? 6: 10.56 a sample of 25 concession stand purchases at the october 22 matinee of bride of chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. for the october 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. the means appear to be very close, but not the variances. at α = .05, is there a difference in variances? show all steps clearly, including an illustration of the decision rule. (data are from a project by statistics students kim dyer, amy pease, and lyndsey smith.) 6: 1. many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? in particular, the weight of an object follows this equation: , where c is a constant, and r is the distance that the object is from the center of the earth. 6: 1. solve for x and y in the following problems using either substitution or elimination methods. make sure you show all your work so you can get partial credit even if your final answer is wrong. 6: 1. suppose you are in the market for a new home and are interested in a new housing community under construction in a different city. a) the sales representative informs you that there are two floor plans still available, and that there are a total of 56 h 6: 1. structural analysis – the equation used to find the cross-sectional area of a cylindrical column (area of a circle): 6: . describe what happens to the tickets sales as time passes? 5: • how do you determine if a polynomial is the difference of two squares? 5: you are going to make a box out of cardboard. the box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process. how much cardboard do you need? 5: you are conducting a survey at a college with 800 students, 50 faculty members, and 150 administrative staff members. each of these 1,000 individuals has a single listing in the campus phone directory. suppose you were to cut up the directory and pull out one listing at random to contact. what is the probability it would be (a) a student, (b) a faculty member, (c) an administrative staff member, (d) a faculty or administrative staff member, and (e) anyone except an administrative staff member? (f) explain your answers to someone who has never had a course in statistics. 5: y=-x^2+4 5: y 3x+1 graph 5: x^(2n+1 )-〖2x〗^(n+1 )+x 5: www.algebra2.com 5: write the equation of a line with the slope of -2 which contains the point (3,6) 5: write in words 32.037 5: write an equivalent expression using radical notation 5: write an equation to illustrate two floor plans for 56 houses 5: worded percentage questions 5: word problems quadratic equations 5: word problems on percentage 5: word problems of acceleration with solution 5: word problems calculator 5: word problems algebra 2 5: word problem in algebra 5: why the line x=4 is a vertical line? 5: why the line x = 4 is a vertical line. 5: why is population shape of concern when estimating a mean? 5: why is it important to simplify radical expressions before adding 5: why is algebra important 5: why does the inequality sign change when both sides are multiplied or divided by negative number 5: why does the inequality sign change when both sides are multiplied or divided by a negative number? 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5: two cyclists start biking from a trail's start 3 hours apart. the second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. how much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking? 5: two cyclist start biking from a trail's start 3 hours apart. the second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. how much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking? 5: two cars start from the same point and traveled on a straight course in 5: two cards are drawn without replacement from an ordinary deck of 52 playing cards. what is the probability that both are spades if the first card drawn was a spade? 5: trigonometry solver 5: triangle algebra 5: transforming formulas 5: trains a and b are traveling in the same direction on parallel tracks. 5: to what amount will the following investments accumulate 5: to estimate animal populations, biologists count the total number of animals in a small section of a habitat. the total population of animals is directly proportional to the size of the habitat (in acres) polled. 5: to determine the number of deer in a game preserve 5: the width of a rectangular gate is 2 meters larger than its height 5: the width of a rectangle is x+2. the length is 5 less that twice the width 5: the width of a rectangle is 2ft less than the length 5: the width of a rectangle is 2 ft less than 5: the weight of an object follows this equation: where c is a constant and r is the distance that the object is from the center of the earth. 5: the web-based company oh baby! gifts has a goal of processing 95 percent of its orders on the 5: the time t required to drive a fixed distance varies inversely as the speed r. it takes 5 hr at 55mph to drive a fixed distance. how long would it take at 40mph 5: the tampa bay (florida) area chamber of commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. to investigate, they collected the following information on the amounts earned last week by a sample of school teachers and nurses. 5: the sum of two consecutive even integers is 86. find the larger number. 5: the square of a number added to the sum of twice the number and 8 is a prime number. 5: the sales representative informs you 5: the reciprocal of half a number increased by half the reciprocal of the number is 1/2. find the number 5: the price of regular unleaded gasoline in january 1997 was $1.26 and in january 2006 the price of regular unleaded gasoline was $2.31 (bureau of labor statistics, 2006). use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope (or rate of change) between the two points. 5: the perimeter of a triangle is 51cm. the lengths of its sides are consecutive odd integers. find the length of all three sides 5: the perimeter of a square is 56 feet. the side length is 4x feet. what is the value of x? 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5: the accounting department at weston materials inc. a national manufacturer of unattached 5: tell which real number corresponds to the situation 5: television sets. what does it mean to refer to a 20-in tv set or a 25-in tv set 5: tan 17pi 5: take any number (except for 1). square that number and then subtract one. divide by one less than your original number. now subtract your original number. did you reached 1 for an answer? you should have. how does this number game work? 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4: a) the sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. use x to represent floor plan #1 and y to represent floor plan #2. write an equation that illustrates the situation 4: a) the sales representative here tells you they also have two floor plans available, but they only have 38 homes available. write an equation that illustrates the situation. use x and y to denote floor plan #1 and floor plan #2 respectively 4: a) which mover provides a better deal for 2 hours of work? how did you arrive at your answer? 4: a) what are the coordinates of tree a? plant b? plant c? patio d? plant e? plant f? 4: a wheel in diameter makes x revolutions. find x, given that the distance traveled by a point on the circumference of the wheel is 4: a tourist agency can sell up to 1200 travel packages 4: a tennis ball can in the shape of a cylinder holds three tennis balls snugly 4: a student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first 5 questions. the number of choices available to him is 4: a solar collector and its stand are in the shape of a right triangle. 4: a small publishing company is planning to publish a new book. the production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). the one-time fixed costs will amount to . the variable costs will be per book. the publisher will sell the finished product to bookstores at a price of per book. how many books must the publisher print and sell so that the production costs will equal the money obtained from sales? 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4: a ladder leans against a house with its base 16 feet from the house. when the ladder is pulled 17 feet farther away from the house, the upper end slides down 7 feet. how long is the ladder? 4: a jet plane traveling at a constant speed goes 1200 miles with the wind, then turns around and travels for 1000 miles against the wind. if the speed of the wind is 50 mph and the total flight took 4 hours, find the speed of the plane. 4: a house has two rooms of equal area 4: a father is three times the age of his son after fifteen years the father is twice as old as his son's age at that time 4: a farmer decides to enclose a rectangular garden 4: a cylinder is inscribed in a right circular cone of height 7.5 and radius (at the base) equal to 2.5 . what are the dimensions of such a cylinder which has maximum volume? 4: a cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. what is the cyclist's average rate for the round trip in miles per hour? 4: a cyclist bikes at a constant speed for 17 miles. he then returns home at the same speed but takes a different route. his return trip takes one hour longer and is 22 miles. find his speed. 4: a customer has asked a caterer for 80 lb of nuts, 60% of which are to be cashews. the caterer has available mixtures of 75% cashews and 45% cashews. how many pounds of each mixture should-be used? 4: a computer with an old processor locks up if 4: a company manufactures calculators in batches of 45 and claims the rate of defects is 4% 4: a coin bank contains only nickels and dimes. there are a total of 35 coins. the total value of the coins is $2.00. find the number of nickels and dimes. 4: a city has a population of 20,000 people in the year 2000. if the population increases 5% per year, what will the population be in 2010? 4: a circular coffee table has a diameter of 5 ft. what will it cost to have the top refinished if the company chares $3 per square foot for the refinishing 4: a chemist wants to make a 10% solution of fertilizer algebra 4: a chef prepared five chocolate tortes for a dinner party 4: a certain airplane has two independent alternators to provide electrical power. the probability that a given alternator will fail on a 1-hour flight is .02. what is the probability that (a) both will fail? 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(5 points) the final grade for a particular course is calculated by dividing total points earned by total points available. there are 120 points available in the first half of the course, and 140 points in the second half of the course. if a student earns 81% in the first half of the course, how many points must the student earn in the second half in order to earn an 80% b final grade? 4: 8+4m=9m-7 4: 7r/12=-14 4: 7m+8=71 4: 773 kernels and put them in a popper. after popping, the unpopped kernels were counted. there were 86. 4: 7/x>0 algebra absolute 4: 6. mel’s diner has been surveying their customers for the past couple of years about their dining experience in the restaurant. the survey uses a scale of one to five, five being best to indicate customer satisfaction. mel’s customer satisfaction averaged 2.5 last year, but this year it is 2.9. is this difference statistically significant? ____ 4: 5x+6y<30 4: 5x+6y 30 graph 4: 5t-26=18t 4: 5/y-3=y+7/2y-6+1 4: 5/4x + 1/8x = 3/8 + x 4: 5.you must work for at least 80 hours in this course to complete the requirements. some of that will be testing time, and some will be for assignments. you have 18 tests that take from 1/2 hour to 2 hours each to complete. you have 110 assignments that take b 4: 5. what is the focus of the parabola with the equation (x – 1)2 + 32 = 8y 4: 5. consider the series: 3, 8, 27, 112, 565, _____ what comes next? 4: 5(x+y)=20+3x 4: 5 times as many dimes as nickels 4: 5 1/3 divided by 2 2/5 4: 4x-2y+3x=11 2x+2y-z=1 3x+y-2z=2 4: 4x+1<2x-6 4: 4. which of the following sets are functions from the set of first components to the set of second components? 4: 3xy + 5xy 4: 3x^2-7x-13=0 4: 3x3 matrix determinant solver 4: 3x3 matrix determinant 4: 3x-2y 6 graph 4: 3v^2 + 4v - 1 = 0 solution 4: 3m+2n 4: 3ln(3x)=9 4: 3/(x-4)+5/(x+4)=7x/(x^2-16) 4: 3. the length of a rectangle is 7 mm longer than its width. its perimeter is more than 62 mm. let w equal the width of the rectangle. 4: 3. from a deck of 52 ordinary playing cards, two cards are drawn with replacement. find the probability that both are hearts. 4: 3 over a+2 + 4 over 2-a - 6 over a^2-4 4: 3 equations 3 unknowns matrix 4: 3 consecutive even numbers 4: 2y^2-3y-6=0 4: 2y+1 y 2-y-6 4: 2xy+6y+8xy 4: 2x2 matrix solver 4: 2x – 2y = 6 by graphing 3 points 4: 2log5+log4 4: 2cos^2x-3sinx-3 4: 2:1 slope give what degree angle 4: 2/3(11x-1/6)-3/4=1/4 4: 2. use three or more sentences to describe how you would solve the following equation by graphing. 2x2-13x-7=0 4: 2(12-8x)=x-11x= 4: 1992 faa conducted 86,991 4: 18z  45  z2 4: 15.28 can people really identify their favorite brand of cola? volunteers tasted coca-cola classic, pepsi, diet coke, and diet pepsi, with the results shown below. research question: at α = .05, is the correctness of the prediction different for the two types of cola drinkers? could you identify your favorite brand in this kind of test? since it is a 2 × 2 table, try also a two-tailed two-sample z test for π1 = π2 (see chapter 10) and verify that z2 is the same as your chi-square statistic.which test do you prefer? why? (data are from consumer reports 56, no. 8 [august 1991], p. 519 4: 14.16 (a) plot the data on u.s. general aviation shipments. (b) describe the pattern and discuss possible 4: 13.32 an expert witness in a case of alleged racial discrimination in a state university school of nursing introduced a regression of the determinants of salary of each professor for each year during an 8-year period (n = 423) with the following results, with dependent variable year (year in which 4: 13.30 – a researcher used stepwise regression to create regression models to predict birthrate (births per 1,000) using five predictors: lifeexp (life expectancy in years), infmort (infant mortality rate), density (population density per square kilometer), gdpcap (gross domestic product per capita), and literate (literacy percent). interpret these results. 4: 12p4 4: 12.48 – in the following regression, x = weekly pay, y = income tax withheld, and n = 35 mcdonald’s employees. 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3: a single card is drawn from an ordinary 52-card deck. find the probability of getting a heart and a jack 3: a single card is drawn from an ordinary 52-card deck. find the probability of getting a heart and a 3: a single card is drawn from a deck. what is the probability of getting a queen or a king? 3: a shopping center is rectangular, with dimensions of 660 yards by 110 yards. what is its size in acres? 3: a ship must average 22 knots 3: a sample of 25 concession stand purchases at the october 22 3: a salesperson drove 238, 159, 87, 163, and 198 miles on a 3: a sailboat travels 20 miles downstream in 3 hours. it returns in 4 hours. find the speed of the sailboat in still water and the rate of the current 3: a roast was cooked at 325 3: a right triangle has an area of 84 ft 2 and a hypotenuse 25 ft long. what are the lengths of its other two sides? 3: a researcher used stepwise regression to create regression models to predict birthrate births per 3: a researcher used stepwise regression to create regression models to predict birthrate 3: a researcher predicts that listening to music while solving math problems will make a particular brain area more active. to test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percent signal change of 58. from many previous studies with this same math-problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 35 and a standard deviation of 10. using the .01 level, what should the researcher conclude? solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the score of the sample on this distribution. then explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and z scores). 3: a red ball and a green ball are 3: a rectangle is three times as long as it is wide 3: a rectangle is inscribed in a semicircle of radius 2 3: a rectangle is 3 times as long as it is wide. if the length and width are both decreased by 4 cm, the resulting rectangle has an area 28 cm squared. find the dimentions of the origional rectangle 3: a rectangle is 3 times as long as it is wide. if the length and width are both decreased by 4 cm, the resulting rectangle has an area 28 cm squared. find the dimentions of the original rectangle. 3: a rectangle has a width of 10 inches and an area of 5 square inches 3: a rectangle has a perimeter of 24 inches. find its dimensions if its length is 3 inches greater than its width 3: a rectangle and a triangle have equal areas. the length of the rectangle is 12 inches, and its width is 8 inches. if the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base? 3: a recent study found that the average life expectancy of a person living in africa is 53 years with a standard deviation of 7.5 years. if a person in africa is selected at random, what is the probability that the person will die before the age of 65 3: a recent article in the wall street journal reported that the 30-year mortgage rate is now less than 6 percent. a sample of eight small banks in the midwest revealed the following 30-year rates (in percent): 3: a real robot to talk to you 3: a ray that divides an angle in two equal parts is called a(n) 3: a random sample of 10 miniature tootsie rolls was taken from a bag. each piece was weighed on a very accurate scale. the results in grams were 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (a) construct a 90 percent confidence interval for the true mean weight. (b) what sample size would be necessary to estimate the true weight with an error of } 0.03 grams with 90 percent confidence? (c) discuss the factors which might cause variation in the weight of tootsie rolls during manufacture. 3: a random sample of 10 miniature tootsie rolls taken from a bag 3: a rainstorm in portland, oregon, wiped out the electricity in of the households in the city. suppose that a random sample of portland households is taken after the rainstorm. 1. estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). do not round your response. 2. quantify the uncertainty of your estimate by giving the standard deviation of the distribution. round your response to at least three decimal places. 3: a quadratic equation 3: a projectile is launched upward from ground level with an initial speed of 98 m/s. how high will it go? when will it return to the ground? 3: a potato chip company packages its potato chips into 12.0 ounce bags. you find it hard to believe that the bag contains enough potato chips to weigh 12.0 ounces and would like to make an official complaint. before doing so, you decide to run an experiment so that you can have some confidence that the company’s claim is incorrect. over the next several months you buy 30 bags of potato chips and weigh the contents of each one. you discover that the mean weight is 11.9 ounces with a standard deviation of 0.4 ounces. you decide that you will only complain if you can be 95% sure that the bags do not contain at least 12.0 ounces of potato chips. you decide to construct a hypothesis test. 3: a poster is 24 cm taller than it is wide. if it is mounted on a piece of cardboard so that there is a 6 cm border on all sides and the area of the border is 720 cm squared what are the dimensions of the poster 3: a pool has two inlet pipes. the first inlet can fill the pool in 6 hours, the other can fill it in 8 hours. if the first pipe is open for 5 hours and then the second is open. how long will it take for the pool to be filled after the second pipe is opend. 3: a polygon with equal sides of 140 degrees 3: a plane travels 700 miles with no wind in the same time it traveled 200 miles againist a 10 mph wind. 3: a pizza shop offers the following toppings: 8 different vegetables, 5 different meats, and 4 different cheeses. how many ways can 4 toppings be select 3: a piece of wire is cut into two pieces. one piece is made into a square and the other into a circle. maximum and minimum 3: a piece of wire 10m long is cut into two pieces. one piece is bent into a square and the other is bent into a circle. how should the wire be cut so that the total area enclosed is 3: a piece of wire 10m long is cut into two pieces. one piece is bent into a square and the other bent into a circle 3: a piece is bent into a square and the other is bent into an equilateral triangle. 3: a pickup can travel 300 miles in the same time that a car going 10 miles per hour faster can travel 350 miles. how fast is the pickup traveling? 3: a person cuts a rope into two pieces that are equal in length. the first piece is 4 times the length of the person’s forearm, minus 1 inch. the second piece is 3 times the length of the person’s forearm, plus 15 inches. for purposes of this question, consider 3: a parabolic satellite television antenna has a diameter of 6 feet and is 1.6 feet deep. how far is the focus from the vertex? 3: a number of girls are standing in a circle they are evenly spaced and are numbered beginning with 1 number 5 is the opposite number of 16 how many girls are in the circle 3: a monk has a very specific ritual for climbing up the steps to the temple. first he climbs up to the middle step and meditates for 1 minute. then he climbs up 8 steps and faces east until he hears a bird singing. then he walks down 12 steps and picks 3: a model rocket is shot straight up from the roof of a school. the height at any time is approximated 3: a model rocket is shot into the air and its path is approximated 3: a man traveled from a to b at 40 miles per hour and then from b to a at 60 miles per hour. what was his average speed (in miles per hour) during the entire journey? 3: a man is going 60mph in his car to a place on the way, back he drove 40 mph. how is the average mph not 50mph 3: a local train leaves a station and runs at an average rate of 35 mph 3: a landscaper wants to put a cement walk of uniform width around a rectangular garden that measures 24 by 40 feet. she has enough cement to cover 660 square feet. how wide should the walk be ibn order to use all the cement? 3: a kite on a 250 foot string makes a 58° angle with the ground. what is the height of the kite above the ground to the nearest foot? 3: a kite is flying on 50 ft of string. its vertical distance from the ground is 10 ft more than its horizontal distance from the person flying it. assuming that the string us being held at ground level, find its horizontal distance from the person and its vertical distance from the ground 3: a kayaker paddle 2 hours with a 6 mph current in a river. the return trip against the same current took 3 hours. find the speed the kayaker would make in still water. 3: a jar of quarters and nickels contain 16 coins. the value of all the coins is $3.00. how many quarters are in the jar? 3: a jar of dimes and quarters contains $15.25. there are 103 coins in all. how many of each are there? 3: a home-based company produces both hand-knitted scarves and sweaters. the scarves take 2 hours of labor to produce, and the sweaters take 14 hours. the labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. 3: a health food store sells seasoning blends in bulk. one blend contains 20% basil.sheila wants to add pure basil tosome 20% blend to make 16 ounces of her own 30. let b represent the amount of basil sheila should add to the 20% blend. write an equation for the problem. 3: a gutter cleaner wants to reach a gutter 40 ft above the ground. find the length of the shortest ladder that can be used if the steepest angle at which it can be leaned against the house has measure 75° 3: a goat is tethered to one corner 3: a go-ped traveled 9 miles in 24 minutes. 3: a five-digit number is represented by abcde, and each letter represents a different digit. if the digit 1 is placed in front of abcde we get 1abcde. the product of 1abcde and 3 is the six-digit number abcde1. what is the value of abcde? 3: a father is three times as old as his son. after fifteen years, the father will be twice as old as his son's age at that time. therefore, the father's current age is? 3: a farmer has 100 meters of fence to enclose the maximum area possible. she wishes to use a river bank as a natural boundary for one side of the recatngular garden that she desires to construct. some of the fence will also be used to divide the rectangular 3: a farmer has 100 meters of fence to enclose the maximum 3: a farmer buys 100 animals for .10, 2 and 5 3: a druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. how much of each mixture should he use to make 10 ounces that contain 25% of the chemical? 3: a die is rolled twice. write the indicated event in set notation 3: a designer created a garden from two concentric circles whose equations are as follows 3: a cyclist traveled at a rate of 32 mph to visit a nearby town. the cyclist averaged 10 mph on the return trip. if the round trip took 6.3 hours, find the distance to the nearby town. 3: a customer wants to make a teepee in his backyard for his children. he plans to use lengths of pvc plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall (see figure). how long should the pieces of pvc plumbing pipe be? 3: a customer pays $1,100 in state taxes on a newly purchased car. what is the value of the car if state taxes are 8.9% of the value 3: a consumer electronics company sells 6.7 million mp3 players per month at a price of $100 a piece; when the price is lowered to $80 3: a computer can execute 36 instructions per microsecond. how many instructions can it execute in 4 min? 3: a company's revenue is the amount of money that comes in from sales, before business costs are subtracted. 3: a company manufactures calculators in batches of 45 and claims that the rate of defects is 4% 3: a coin was flipped 60 times and came up heads 38 times. 3: a clothing manufacturer uses a trend line of the form to generate yearly forecasts of its total sales (in millions of dollars). the trend line was developed using a data set that starts in (i.e., time period corresponds to ). 3: a city block 500 feet by 500 feet has a large building 3: a child is one third the age of an older sibling 3: a child in an airport is able to cover meters in minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover meters in minutes. what is the child's running speed on a still sidewalk, and what is the speed of the moving sidewalk? 3: a chemist has 60 g of a solution that is 70% acid. how much water should be added to make a solution that is 40%acid 3: a chemist has 400 milliliters (ml) of solution that is 21% acid. how many milliliters of acid are in the solution? 3: a chemist has 1000g of a solution that is 40% acid. how many grams of water must be added to reduce the acidity to 25%? 3: a change machine contains nickels, dimes, and quarters. 3: a certain type of light bulb has an average life of 500 hours 3: a certain airplane has two independent alternators to provide electrical power. the probability that a given alternator will fail on a 1-hour flight is .02. what is the probability that (a) both will fail? (b) neither will fail? (c) one or the other will fail? 3: a certain airplane has two independent alternators to provide electrical power. the probability that a given alternator will fail on a 1-hour flight is .02. what is the probability that 3: a certain airplane has two independent alternators to provide electrical power 3: a cellular phone company offers a contract for which the cost c in dollars of t minutes 3: a cellular phone company offers a contract 3: a card is drawn at random from a standard 52-card deck. find the probability that the card is an ace or not a club. 3: a car travels from one town to another at 50 mph. if it had gone 10 mph faster, it could have made the trip in a half hour less time. how far apart are the towns? 3: a car is parked on a cliff overlooking the ocean on an incline that makes an angle of 3: a car is parked on a cliff overlooking 3: a car dealer sells a suv for $39,000, which represents a 25% markup over the dealer's cost. what was the cost of the suv to the dealer? 3: a businessman travels for work averaging 40 mph. on the return trip he averages 50 mph, and it takes him an hour less time. how long was the return trip? 3: a box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides. 3: a box with an open top is to be constructed 3: a box of colored crayons contains distinct colors. in how many ways can colors be chosen, assuming that the order of the colors chosen doesn't matter? 3: a box for shipping roofing nails must have a volume of 84-cubic feet. if the box must be 3 feet wide and its height must be 3 feet less than its length, what should the dimensions of the box be 3: a box contains 90 balls numbered from 1 to 90. if 8 balls are drawn with replacement, what is the probability that at least two of them have the same number? 3: a box contains 90 balls numbered from 1 to 90. if 14 balls are drawn with replacement, what is the probability that at least two of them have the same number? 3: a box contains 65 balls numbered from 1 to 65. if 11 balls are drawn with replacement, what is the probability that at least two of them have the same number? 3: a box contains 3 red, 3 blue and 4 white socks. in how many ways can 8 socks be pulled out of the box, one at a time, if order is important 3: a box can be formed by cutting squares out of each corner. 3: a boat travels 4 miles south and then 7 miles east. how far is the boat from its starting point? 3: a basket contains 4 black, 2 blue, and 5 green balls. a sample of 3 balls is drawn. find the probabilities that the sample contains thefollowing. 3: a baseball hit straight up at an initial 3: a ball is thrown vertically upwards with speed 10ms^-1 from a point 2m above horizontal ground. calculate the length of time for which the ball is 3m or more above the ground 3: a baker has two pans with the same area. one pan is square and the other is 6 cm narrower and 8 cm longer than the square pan. find the area of each pan 3: a 720 ml container holds a mixture of red, yellow, and white paint in a 5 : 3 : 12 ratio. how much m 3: a 45- 45- 90 triangle has a hypotenuse of length 15 units. what is the length of one of the legs? if necessary, round your answer to two decimal places. 3: a 3-kg pine board is 20 cm wide, 2 cm thick, and 2 m long. the density of the board is 3: a man invest 20,000 at an annual interest rate of 7% and 12,000.00 at an annual interest rate of 7.5% what was his annual income on the two investments 3: \consecutive integers\ + \algebra\ + \word problems\ 3: 9.56 a coin was flipped 60 times and came up heads 38 times. 3: 9. a mother left 20% of her estate to one son and 25% to another son. the remaining $55,000 she left to her daughter. find the amount of the estate: 3: 9-6t=10d 3: 8y=7+3x help me 3: 8x-3y=6-4x linear equation 3: 8x - 7y < -7 3: 8.64 biting an unpopped kernel of popcorn hurts! as an experiment, a self-confessed connoisseur of 3: 8-6x-3y-23y+x-1 3: 8(2f-3)=4(4f-8) 3: 7y=33-4y 3: 7x^5 y ^5 - 21x^4 y^4 + 14x^3 y^3/7x^3 y^3 3: 7x/2x - x-2/20x+16= 3: 7x-8y=-40 and 8y-7x=40 3: 7x-3y=21 3: 7x+x(x-3)=0 3: 74. different weights. professor williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. wendy scored only 48 on the midterm. what range of scores on the final exam would put wendy's average between 70 and 79 inclusive? c 3: 72 is what percent of 90 3: 718281828 3: 70 = 5/9(f-32) 3: 7. ancient history. this problem is from the second century. four numbers have a sum of 9900. the second exceeds the first by one-seventh of the first. the third exceeds the sum of the first two by 300. the fourth exceeds the sum of the first three by 300. find the four numbers. 3: 6x^3-16x^2+17x-6 divided by(3x-2) by long division 3: 6x+3y-2x-5y 3: 6=x-3 3: 64. commuting students. at a well-known university 3: 6.the school system is trying to help their students be more successful. they are going to hire tutors to help. they must have 20 teachers to have the correct student/teacher ratio. there must be no more tutors than teachers. the maximum number of people to b 3: 6. write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x. 3: 6. write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x. 3: 6 less than twice x 3: 6 defective refrigerators 3: 5xy - 3y z - 5xz + yz - 4xz + 7xy 3: 5x+6y<=30 3: 5x+6=4 3: 5x+2y=6 3: 5log10 3: 58,200,000,000 in scientific notation 3: 50q-43=52q-81 3: 5/2t-t=3+3/2t 3: 5. a study to determine if job absenteeism is distributed evenly over the week. 3: 5-1a. (compound interest) to what amount will the following investments accumulate? a. $5,000 invested for 10 years at 10 percent compounded annually b. $8,000 invested for 7 years at 8 percent compounded annually c. $775 invested for 12 years at 12 percent compounded annually d. $21,000 invested for 5 years at 5 percent compounded annually 3: 5 in by 7 in photograph is surrounded by a frame of uniform width 3: 4y-9=15 3: 4x-(9-3x)=8x-1 3: 4x+7y=32 3: 4x+5y=-2 and 4y-x=11 3: 4x(x-1)-5x(x)=3 3: 4b-5 t solve for b 3: 45. shaver manufacturing, inc., offers dental insurance to its employees. a recent study by the 3: 42. the accounting department at weston materials, inc., a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the red barn model. assume the assembly tim 3: 41f to celcius 3: 40 mph i minuite early 3: 4/x-y, 5x/2y-2x 3: 4. the line represents an estimate of the average cost of gasoline for each year. the line estimates the price of gasoline in january of each year 3: 4. the table shows the height of a plant as it grows. a. model the data with an equation. b. based on your model, predict the height of the plant at 12 months. 3: 4(5n-7)=10n+2 3: 4(5-y)=14x+3 3: 4(2n-5)=3n+10 3: 4 years ago tom was twice as old as john. 4 years from now john will be 3/4 tom's age. how old are they now 3: 4 x-y 5x 2y-2x 3: 4 consecutive even integers whose sum is 340 3: 4 consecutive even integers when least is decreased by greatest equals 24 3: 3y+z=am-4y 3: 3x^2+13x-10=0 3: 3x2-18x-48 3: 3x-2y+z=10 3: 3x+2y=6 3: 3x+2y=0 3: 3x+2y-6=0 3: 3x - 2y = 6 3: 3v^2+4v-1=0 3: 3ax-n 5 4 solve for x 3: 3a-5/a^2+4a+3 3: 36x^4-8x^3-28x^2 3: 34. if the perimeter of a rectangular house is 25 1/3 yards, and the length is 22 feet. what is the width? 3: 31. you are having 31kg of rice. you are provided with a 1kg stone for weighing. in how many weights the 31kg of rice can be weighed. a. 6 b. 34 c. 63 d. 5 3: 3/7x + 5/9y = 27 3: 3/5(2/3x-5/6)=3 3: 3.8 percent as a decimal 3: 3. the linear equation represents an estimate of the average cost of gas for year x starting in 1997. the year 1997 would be represented by x = 1, for example, as it is the first year in the study. similarly, 2005 would be year 9, or x = 9. 3: 3 missionaries and 3 cannibals solution 3: 3 is factor of n^3+2n 3: 2y-2-y is less than or equal to -4 3: 2y+1/y^2-y-6 3: 2x³ + 7x² + 8x + 28 3: 2x2 matrix inverse 3: 2x-y=4 find the slope with the graph 3: 2x-y=13 3: 2x-sin4x 3: 2x-4y=8 3: 2x + 4y = 10 3x - 2y = -9 3: 2n+3n+7=-41 3: 2m+1>13 3: 2log5 3: 29. there are four prime no written in ascending order. the product of the first three is 385 and that of the last three is 1001.the last no is? a. 11 b. 13 c. 17 d. 19 3: 28. in the first 10 over of a cricket game, the run rate was only 3.2 what should be the run rate in the remaining 40 over to reach the target of 282 run? a. 6.25 b. 6.5 c. 6.75 d. 7 3: 27x^3-8y^3 3: 25cm poster algebra 3: 24. in his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. how many will he have to take out of his pocket to ensure that he has taken out at least one of each color? 3: 2160 is an even number or odd 3: 20 miles per hour for 35 seconds 3: 2/sqrt[3]+sqrt[2] 3: 2.4x-1.2x=4.8 3: 2. you are trying to decide how to most efficiently use your oven. you do not want the oven running at a high temperature when it is not baking, but you also do not want to waste a lot of time waiting for the oven to reach the desired baking temperature 3: 2. two cyclists start biking from a trail's start 3 hours apart. the second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. how much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking? 3: 2. the equation gives the distance, d, in miles that a person can see to the horizon from a height, h, in feet. 3: 2. supposed bob owns 2,000 shares of company x and 10,000 shares of company y. the total value of bob's holdings of these two companies is $340,000. 3: 2. examine the rise in gasoline prices from 1997 to 2006. the price of regular unleaded gasoline in january 1997 was $1.26 and in january 2006 the price of regular unleaded gasoline was $2.31 (bureau of labor statistics, 2006). use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope (or rate of change) between the two points. describe how you arrived at your answer. 3: 2. examine the rise in gasoline prices from 1997 to 2006. the price of regular unleaded gasoline in january 1997 was $1.26 and in january 2006 the price of regular unleaded gasoline was $2.31 (bureau of labor statistics, 2006). use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope (or rate of change) between the two points. describe how you arrived at your answer 3: 2. biologists want to set up a station to test alligators in the lake for west nile virus. suppose that the costs for such a station are $2,500 for setup costs and $3.00 to administer each test. 3: 2. when solving an inequality, when is it necessary to change the direction of the inequality symbol? 3: 2. the break even values for a profit model are the values for which you earn $0 in profit. use the equation you created in question one to solve p = 0, and find your break even values. 3: 2,4,8,16,32 write the formula to calculate the 52nd number 3: 2 digit word reversing with new number problems 3: 2 consecutive odd integers whose sum is 76 3: 17. is the relationship shown by the data linear? if so, model the data with an equation. if not, explain why. 3: 169616 parallelogram 3: 15b-12>7b+60 3: 15.22 a student team examined parked cars in four different suburban shopping malls. one hundred vehicles were examined in each location. research question: at α = .05, does vehicle type vary by mall location? (data are from a project by mba students steve bennett, alicia morais, steve olson, and greg corda.) 3: 15-13a. (break-even point and operating leverage) allison radios manufactures a complete line of radio and communication equipment for law enforcement agencies. the average selling price of its finished product is $180 per unit. the variable cost for these same units is $126. allison radios incurs fixed costs of $540,000 per year. 3: 15 ft truck is $45.00 per day, and .37 cents per mile for every mile driven over 500 3: 136270 3: 12n3.com/sonnia 3: 12.50 in the following regression, x = total assets ($ billions), y = total revenue ($ billions), and n = 64 large banks. (a) write the fitted regression equation. (b) state the degrees of freedom for a twotailed test for zero slope, and use appendix d to find the critical value at α = .05. (c) what is your conclusion about the slope? (d) interpret the 95 percent confidence limits for the slope. (e) verify that f = t2 for the slope. (f) in your own words, describe the fit of this regression. 3: 12.48 in the following regression 3: 11x-6y=494 x+7y=-23 3: 11. runner a crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. half an hour later, runner b crosses the starting line and runs at an average rate of 6.4 miles per hour. if the length of the marathon is 26.2 miles, which runner will finish ahead of the other? explain. (1 point) 3: 11-k?2=60 3: 108. comparing wind chills. use the formula from exercise 107 to determine who will feel colder: a person in minneapolis at 10°f with a 15-mph wind or a person in chicago at 20°f with a 25-mph wind. 3: 1000 lockers which will remain open? 3: 100 animal, $3 each, $10 each and $.50 each. 3: 10.56 – a sample of 25 concession stand purchases at the october 22 matinee of bride of chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. for the october 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. the means appear to be very close, but not the variances. at a = .05, is there a difference in variances? show all steps clearly, including an illustration of the decision rule. 3: 10.56 a sample of 25 concession stand 3: 10.56 a sample of 25 concessiom stand purchases 3: 10.48 from her firm’s computer telephone log, an executive found that the mean length of 64 telephone calls during july was 4.48 minutes with a standard deviation of 5.87 minutes. she vowed to make an effort to reduce the length of calls. the august phone log showed 48 telephone calls whose mean was 2.396 minutes with a standard deviation of 2.018 minutes. (a) state the hypotheses for a right-tailed test. (b) obtain a test statistic and p-value assuming unequal variances. interpret these results using α = . 3: 10. saleem can type a 20 page document in 40 minutes, aysha can type it in 30 minutes, and raheel can type it in 24 minutes. working together, how much time will it take them to type the same document? a. 5 minutes b. 10 minutes c. 18 minutes d. 20 minutes 3: 1/2k-3=2-3/4k 3: 1. you are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project. a) write an inequality that demonstrates how much money you will be willing to spend on the project. b) suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. you need 30 tons of rock to cover the area. if each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500? write an i 3: 1. which of the following values is not equal to 34(58+9)? a. 34 x 67 b. 58(34+9) c. 34 x 58 + 34 x 9 d. 1,972 + 306 3: 1. the cost, in millions of dollars, to remove x % of pollution in a lake modeled by 3: 1. many people know that the weight of an object varies on different planets, 3: 1. many people know that the weight of an object varies on different planets but did you know that 3: 1. a manufacturer produces a batch of memory chips (ram) and measures the mean-time-between-failures (mtbf). the manufacturer then changes a manufacturing process and produces another batch and again measures the mtbf. did the change to the process improve the mtbf? 3: 1. you have recently found a location for your bakery and have begun implementing the first phases of your business plan. your budget consists of an $80,000 loan from your family and a $38,250 small business loan. these loans must be repaid in full within 10 years. 3: 1. you have 28 gals of 15% solution. how much 20% solution should you add to it to get some 18% solution? 3: 1. suppose you are at the gas station filling your tank with gas. the function c(g) represent 3: 1. in this problem, we will analyze the profit found for sales of decorative tiles. a demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. 3: 1. how do you compute the intercepts of a quadratic function? 3: 1,232 is what percent of 220 3: 0.5b +3.4 = 0.2b +12.4 3: 0.4r-1.2=0.3r+0.6 3: 0.01 as a fraction 3: . if 300 jellybeans cost you x dollars. how many jellybeans can you purchase for 50 cents at the same rate? 3: . describe two laws of exponents and provide an example illustrating each law. explain how to simplify your expression. how do the laws work with rational exponents? provide the class with a third expression to simplify that includes rational (fractional) exponents. 3: . a student receives his grade report from a local community college, but the gpa is smudged. he took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. he received a “b” in the art class, an “a” in the history class, a “c” in the science class, a “b” in the mathematics class, and an “a” in the science lab. what was his gpa if the letter grades are based on a 4 point scale? (a=4, b=3, c=2, d=1, f=0) 3: . in your own words, define the four different sampling techniques 3: -6(y-2)=7(2-y) algebra 3: -3x^2+5x-8=0 3: -2 x 3 3: +27.4 + 213.321 + 39.38 3: ) a girl buys three apples and seven oranges for $4.56. if an orange costs $0.28 more than an apple, how much does each fruit cost? 3: (x4y6z12/9-2x3y-8z-9)0 3: (x-3)^2+(x+2)^2=17 3: (x-1-5i)(x-1+5i) 3: (x+3)(x+3) answer 3: (a+4)^2-2(a+4)=1 3: (a+4)^2-2(a+4)+1 3: (a) plot the data on u.s. general aviation shipments. (b) describe the pattern and discuss possiblecauses. (c) would a fitted trend be helpful? explain. (d) make a similar graph for 1992–2003 only.would a fitted trend be helpful in making a prediction for 200 3: (a) plot the data on u.s. general aviation shipments. (b) describe the pattern and discuss possible causes. (c) would a fitted trend be helpful? explain. (d) make a similar graph for 1992–2003 only. would a fitted trend be helpful in making a prediction for 2004? (e) fit a trend model of your choice to the 1992–2003 data. (f) make a forecast for 2004, using either the fitted trend model or a judgment forecast. why is it best to ignore earlier years in this data set? 3: (a) how does correlation analysis differ from regression analysis? (b) what does a correlationcoefficient reveal? (c) state the quick rule for a significant correlation and explain its limitations.(d) what sums are needed to calculate a correlation coefficien 3: (5,1)is a solution to the equation 2x-3y=7. what does this mean? 3: (48/n+3)(n-2)=48+22 into quadratic equation 3: (3x-2)+(4x-6) 3: (16x^4+12x^3-6x^2+9x+5)/(4x+5) 3: (100-4u/3)=(5u+6/4)+6 3: (1/3)(9)³ = 3: & 39 means what 3: $6,400 investment decreased by 8.2% what was the value at the end? 3: $38,250 + $80,000+ $22,250-0.25($80,000 + $38,250) = 3: $1.90 mixed with $1.20 to make 100 lbs worth $1.48 3: # i am going to choose 6 students out of the 15 who currently have a's to be mentors for the students who have c's or lower. how many ways can a group of 6 be selected? 3. what is the likelihood at least one of the selected flights did not arrive within 15 minutes of the scheduled time? 3x + y + z = 8 2: √4x-3=-4 2: •why does the inequality sign change when both sides are multiplied or divided by a negative number 2: • take any number (except for 1). square that number and then subtract one. divide by one less than your original number. now subtract your original number. did you reached 1 for an answer? you should have. how does this number game work? hint: redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression. how did the number game use the skill of simplifying rational expressions?create your own number game using the rules of algebra and post it for your classmates to solve. think about values that may not work. state whether your number game uses the skill of simplifying rational expressions. 2: • take any number (except for 1). square that number and then subtract one. divide by one less than your original number. now subtract your original number. did you reached 1 for an answer? how does this number game work? make up your own game using rules of algebra. this should show you how to do it. 2: • explain in your own words why the line x = 4 is a vertical line. 2: • how did the number game use the skill of simplifying rational expressions? create your own number game using the rules of algebra and post it for your classmates to solve. be sure to think about values that may not work. state whether your number game uses the skill of simplifying rational expressions. 2: • what similarities and differences do you see between functions and linear equations studied in ch. 3? 2: • how is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? 2: • how do you know if a value is a solution for an inequality? 2: • find the probability that fewer than three employees are absent on a given monday 2: “1 calorie = 4.184 joules” 2: · how do you determine if a polynomial is the difference of two squares? 2: · how do you know if a value is a solution for an inequality? · how is this different from determining if a value is a solution to an equation? · if you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality? · write an inequality and provide a value that may or may not be a solution to the inequality. 2: statistical techniques in business & economics text: 2: two cars leave town at the same time going in the same direction on the same road. one travels 32 mph and the other travels 47 mph in how many hours will they be 69 miles apart 2: |p|>3 absolute value 2: {2,3,5,7,11, …………} represent the first five 2: zero product property with term in front of the x squared 2: z+x+y=12 2: z table for difference of two proportions 2: z score table calculator 2: your profit p is determined by subtracting the cost c 2: your piggy bank has 25 coins in it; some are quarters and some are nickels. you have $3.45. how many nickels do you have? (i know you can figure this out by trial and error, but you must write the equations and solve.) hint: you have two unknowns: q for quarters and n for nickels. you need two equations. write one equation for the number of coins that you have and a second equation for the value of the coins. (an unknown number of nickels would have the value of .05n.) 2: your paycheck is $500.00 if you want to save $2,000 dollars in one year how much should you set aside? 2: your company uses the quadratic model 2: your budget consists of an $80,000 loan from your family 2: your brother is 4 yrs younger than you. in 3 yrs you will be twice as old as he will be. how old are each of you now? 2: you recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. you decide to hire a moving company, but are unsure which company to choose. you search online and are interested in contacting two companies, heavy lifters and quick move, to discuss their rates. heavy lifting charges an $80 fee plus $35 per hour. quick move charges $55 per hour with no additional fees. 2: you recently started the paperwork to purchase your new home 2: you provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale). 2: you need to purchase a textbook for nursing school. the book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. you have $100. how much change will you receive back 2: you join an aerobics class at the local gym. the cost is $3 per class plus $10 for the inital member ship fee. write an equation that shows the relationship between the number of classes n you attend and the ammount you pay p 2: you invested $5000 for one year, part at 9% annual interest and the rest at 12% annual interest. the interest from the investment at 9% was $198 more than the interest from the investment at 12%how much money did she invest at 9%? 2: you have three $1 bills, four $5 bills, and two $10 bills in your wallet. you select a bill at random. without replacing the bill, you choose a second bill. find the probability p($10 then $1) 2: you have $42,180.53 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $250,000 2: you enter a long hallway. hanging from 2: you draw 2 cards from a well-shuffled deck of 52 cards. after you draw the first card, you do not replace it in the deck. the probability of drawing the ace of spades on your first draw is . what is the probability of p(get queen of hearts on second draw | get ace of spades on first draw)? 2: you can find the percent of growth in home depot’s sales from 2002 to 2006, follow these steps: 2: you are trying to decide how to most efficiently use your oven. you do not want the oven running at a high temperature when it is not baking, but you also do not want to waste a lot of time waiting for the oven to reach the desired baking temperature. 2: you are trying to decide how to most efficiently use your oven. 2: you are randomly choosing cards from a deck. what is the probability that you choose a jack, queen, king or ace? 2: you are planning to spend no less than $6000 an no more than 2: you are planning to spend no less than 2: you are making a coffee table with a glass top surrounded by a cherry border the glass is 3 fett by 3 feet. you want the cherry border to be uniform width. you have 7 square feet of cherry to make the border. what should the width of the border be? 2: you are lying 120 ft away from tree that is 50 feet tall. you look up at the top of the tree. approximately how far is your hear from teh top of the tree in staright line? 2: you are having 31kg of rice. you are provided with a 1kg stone for weighing. in how many weights the 31kg of rice can be weighed. 2: you are going to make a box out of cardboard. the box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process 2: you are going to make a box out of cardboard. the box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting p 2: you are given 5 random numbers lottery. state the null, complete the test statistic, test it at the alpha level and conclude about the lottery 2: you are earning extra money drawing sketches for your friends and family. 2: you are about to take a test that contains type x questions worth 4 points and type y questions worth 7 points each 2: you are about to take a test that contains type a questions worth 4 points each 2: you and your brother are painting a room. you are painting at a rate of 12 square 2: years old than how old is each 2: year of origin of modern algebra 2: y^2(y+1)-4y(y+1)-21(y+1) factor 2: y>+2x+2 2: y=x+7 2: y=x+3 y=2x+4 2: y=mx+b how do you find b 2: y=log4x graph y intercept 2: y=log4x 2: y=inx graph 2: y=absolute value of x domain and range 2: y=a.b power x problems 2: y=a+bx where y represents the dependent variable, x represent the independent variable,a represent the y-intercept,b represent the slope of the line 2: y=8-6x what would the graph look like 2: y=5\3x 2: y=4x^2+12x+9 2: y=3x-5 2: y=3x+9 2: y=3x+1 2: y=3/2x-3 graphing points 2: y=2x-7 2: y=2x-5 problem 2: y=2x-1 2: y=2x+4 2: y=2/3x-4 2: y=2.5x+5 2: y=12 x=11 how to write a linear equation 2: y=10^3x is what type of equation? 2: y=1/x 2: y=1/3x^3 2: y=1/2x-3 2: y=.16x+b 2: y=-x^2+6x 2: y=-x-14 2: y=-x+2 2: y=-2x-7 2: y=-1/3x+7 2: y=(x+1)²-2 graph 2: y= 3sin2x 2: y= 1/5x the y-intercepts is 2: y<5x 2: y8y5 2: y3(y3-y)= if y=3 2: y-y1=m(x-x1) to slope intercept form 2: y-intercept = 4, contains (-6, -1) 2: y-3/4x-3 2: y-1/5x-2 2: y- form of x+2y=8 2: y+4x=8 2: y+4=-2/5x-4/5 2: y(yx5)(wy) 2: y x squared 2: y varies directly as x. 2: y mx+c how to find c 2: y intercept solver 2: y intercept quadratic equation 2: y intercept method 2: y intercept line 1 b 3 2 2: y intercept for x-2y=6 2: y intercept and slope 2: y ab to the x power 2: y = x 2 + 4 2: y = radical 2y 2: y = mx+b solver source 2: y = 2.5x 2: y = (x-5) (5x+4) - 5x^2 linear or quadratic 2: y 3x 5 graph 2: y 3x 1 2: y + x = -2 and y - x = -2, are these lines parallel, perpendicular, or neither 2: xy algebra for triangles 2: xy 4 hyperbola 2: x^logx=x^3/100 2: x^6+x^4+x^2+1 2: x^4+x^2+1 2: x^3y+2x^2y^2+xy^3 2: x^3-3x^2-25x+75=0 2: x^3-3x^2-10x+24 2: x^3+216=0 2: x^3 minus 36x=0 2: x^2/15-y^2/12=1 2: x^2-6x+3 for x and y intercept 2: x^2-2x-3=0 2: x^2-10x+y^2+8y+36=0 2: x^2-(1+i)+(2+2i)=0 2: x^2+6x+8=0 2: x^2+60x-7021 factors 2: x^2+5x–14=0 complete the square 2: x^2+3xy-10y^2 2: x^2*log(x) 2: x^2 over 3x^2 -5x-2 -2x over 3 x+1 x 1 over x-2 2: x^2 + 4 divided by x^4-3x^3-x^2-12x-20 2: x^+x^4+x^2+1 2: x^(2n+1)-〖2x〗^(n+)+x 2: x^(2n+1)-2x^(n+1)+x 2: x=t^3 (t is measured in seconds) 2: x=6y linear expression or not 2: x4y4 2: x2-x-20 2: x2-6x+16 description 2: x2-2x-13 =0 2: x2-14x+49 2: x2-13x+40=0 2: x2-13x+30=0 2: x2+4x-5>0 inequality 2: x2+3x+2= factoring 2: x2+12x-64=0 2: x2 - 16 = 0 2: x2 + 8x + 9 = -7 2: x/4+3x/5=17 2: x/12=5 solution 2: x-y=3, graph 2: x-y=3 -6x+6y=17 2: x-intercept solvers 2: x-intercept of the line whose equation is 2x-6y=18 2: x-intercept and y-intercept real world graph interpret 2: x-4y=8 2: x-4y+12=0 graph 2: x-4x-3=0 2: x-3y+2z=11 2: x-3==4 explain 2: x-2y 8 graph 2: x-2(1-3x) = 6+3(4-3x) 2: x+y=8 2: x+y=7 and x-y=9 2: x+y=6 2: x+y=4 2x-y=5 2: x+y<5 2: x+y+13 22x+36y=356 addition method 2: x+y 5 expand 2: x+9+4y 2: x+8(7-x)=14 algerbra 2: x+5y=-32 2: x+4y=8 2: x+3y=17 2: x+3y=12 graph 2: x+2y-4z=3 2: x+2y =3 2: x+2y 4 graph 2: x(x+2)+1(2x+1) 2: x y intercept method 2: x to the 2/3 power rewrite 2: x squared minus 3x 2: x minus one cubed 2: x minus 1 cubed 2: x intercept 5y-3x+4=0 2: x cubed times x squared 2: x cubed minus y cubed 2: x cubed minus 8 2: x cubed minus 27 2: x cubed in quadratic equations 2: x cubed divided by x+1 2: x can work 3 times faster than y, then how long it should take to work alone x or y 2: x and y vary directly 2: x and y intercepts 2: x ad y intercepts of function 2: x = 16 houses that cost 175,000 2: x +13 = 20 2: x + y= 6 , 2x + y = 8 2: x + 4y = 8 2: www.word problems on percentages.com 2: www.word problems excercise.com 2: www.solvewordproblemsonline.com 2: www.linear expressions and equation exam.com 2: www.freetutors 2: www.aslgebra.com 2: www.algebrahelp.com 2: www.algebra .com 2: www..solve algebra math problems on line.com 2: www,algebr2.com 2: ww.algebra.in 2: writing the equation of a shifted graph 2: writing rational numbers as a quotient 2: writing parabola equation using directix 2: writing math equations.com 2: writing expressions in exponential form 2: writing expressions as a complex number in standard form 2: writing equations in standard form calculator 2: writing equations in function form 2: writing an inequality for algebra 2: writing an expression with an inequality 2: writing a fraction as an negative expression using negative exponents 2: write with positive exponents 9x(x^-3)/18x^15 2: write two 2x2 matrices a and b. show that multiplication of matrices is not commutative. 2: write two 2x2 matrices a and b. 2: write two 2 x 2 matrices a and b. show that multiplication of matrices is not commutative. 2: write two 2 x 2 matrices a and b. show that multiplication o 2: write trigonometric expression as algebraic expression sin(2arctanx) 2: write the word name for the following. 300,612 2: write the word name for the followin 36,713 2: write the standard form of the equation of the parabola with the given directrix and vertex 2: write the solution in interval notation 2: write the slope-intercept form of the equation of the line perpendicular to the graph of 4x-y=12 that passes through (8,2) 2: write the set of integers in roster notation 2: write the quadratic equation given roots multiple choice 2: write the proportion 5 is to 8 as 15 is to 24. 2: write the point-slope equation of the line that goes through (5, 3) with a slope of -12. 2: write the pattern using exponents: 2, 4, 8, 16… 2: write the next term for the given sequence 2: write the inequality in words. 3n < 52 2: write the inequality in words. 3n < 52 2: write the general form equation of the line that passes through (3, 8) and has slope −4 2: write the fraction as a decimal. state whether the decimal is terminating or repeating. 2: write the following phrase using symbols. use the variable x to represent the number. eight less than three times a number 2: write the following as a common fraction or mixed number. write your answer in lowest terms. 0.44 2: write the following 0.00508 as a common fraction or mixed number. 2: write the expression in the form a + bi 6+2i/9-3i 2: write the expression as a logarithm of a single quantity 2: write the expression as a complex number in standard form (5-2i)-2(3+i) 2: write the equation that is parallel to the given equation 2: write the equation that describes the line with slope = -2 and y-intercept = 5 in slope-intercept form. 2: write the equation so that y is a function of x 2: write the equation of the line that satisfies the given condition. express in standard form 2: write the equation of the line that is perpendicular to the line 3x - 2y = 6 and passes through the point (-1,2). 2: write the equation of the line that goes through (-2, -1) and (-3, 4). 2: write the equation of the line parallel to the line 10x - 5y = 8 and passing through the point (2,4). 2: write the equation of a parabola that passes through the pionts 2: write the equation of a line whose slope is 6 and whose y intercept is 3. 2: write the equation of a line that satisfies the following conditions 2: write the equation of a line passing through points 3 coordinates 2: write the equation of a line passing through (3, -17), parallel to 8x-7y=87. 2: write the equation in the form as ax^2+bx+c=0 2: write the equation in slope intercept form (8,-4), and m= -3 2: write the equation 3x-4y=20 in slope intercept form 2: write the decimal equivalent, using the bar notation.2/9 2: write the +following expressions as a single logarithm 2: write standard form of an equation through the given points 2: write solutions in simplest radical form 2x2 2x 1 = 0 2: write rational number as quotient of two integers 2: write one numerical expression and one algebraic expression. then explan what the differenc between 2: write one numerical expression and one algebraic expression. then explain what the differenc between 2: write linear systems equations from word problems 2: write in words. 0.082 2: write in the form (a +bi) division 2: write in standard form the equation of the line that passes through the points 2: write in standard form an equation of the line that passes through the two points. use integer coefficients 2: write in standard form 2 + 1/2x= y 2: write in simplest form without negative or zero exponents. 2: write in simplest form the ratio of 5 3/5 to 2 1/10 2: write function in vertex form 2: write equations vertical horizontal lines passing through point 2: write equations for the vertical and the horizontal lines passing through the point 2: write equations for the vertical and horizontal lines passing through the point (-3, -1) in (x, y) coordinates 2: write equations -4 + 6(x+1) in slope intercept form equation 2: write equation in standard form with coefficients 2: write equation ( 1 over 5 ) - 7 = 78125 2: write each polynomial in standard form 2: write each of the following square roots in the form a√b, where a and b are integers and b has the least value possible. 2: write each of the following in the form or , where a and b are integers and b has the least value possible 2: write each of the following in the form a√b or a ^n√b, where a and b are integers and b has the least value possible: a.) √242 b.) √288 c.) √360 d.) ^3√162 2: write each of the following in the form a √ b or b √ a , where 2: write each expression as a single logarithm 2: write cost as a function 2: write as single log 1/2 log x-3logy 2: write as difference of log 2: write as a single rational expression in lowest terms 2: write and solve an equation that represents how many cookies were sold 2: write and solve algebra equation 2: write and expression for the pattern 2: write and equation for a graph that is the set of all points in the plane equidistant from the point(-1/8,0) and the line x=1/8 . 2: write an quadratic equation in the variable x having the given numbers as solutions. type the equation in standard form, ax^2+bx+c=0 (solution: 8,only solution) 2: write an inequality that describes the number of hours it would take to draw frames needed for a 2: write an inequality and provide a value that may or may not be a solution to the inquality 2: write an inequality and provide a value that may or may not be a solution to the inequality 2: write an expression for each situation 2: write an exponential function that passes through the given points 2: write an equivalent expression without using the grouping symbols -(3x+5) 2: write an equation which models how old, in years, you will be when you are 3 times as old as the younger person. 2: write an equation to show how many weeks you worked 2: write an equation that passes through each pair of points 2: write an equation that passes through coordinates and is perpendicular to t 2: write an equation of the line with slope -5 and containing a(3, -1) 2: write an equation of the line with an x intercept of -1 and a y intercept of -3 2: write an equation of the line through the given points:(0,2), (3,8) 2: write an equation of the line that passes through each pair or points (4,2)(-2,-4) 2: write an equation of the line that passes through each pair of points? (3,-2), (-2,-4) 2: write an equation of the line that is parallel to the given line and passes through the given point 2: write an equation of the line satisfying the given conditions slope = 0; y-intercept of 7 2: write an equation of the line parallel to and 2: write an equation of the line containing the given point and perpendicular to the given line solver 2: write an equation of the line containing the given point and paralell to the given line express your answer in the form y=mx+b, 2: write an equation of the line containing the given pair of points 2: write an equation of a line with undefined slope that passed through the point (3, -2) 2: write an equation of a line parallel to the graph of 7x-2y=12 that has x-intercept of 5 2: write an equation in slope-intercept form of the line that is perpendicular to the graph and passes through the given paint 2: write an equation in slope intercept form of the line that passes through each pair of points. (3,4) (-1.-4) 2: write an equation in lope-intercept form of the line that passes through the points 2: write an equation for with slope =-1 and y-intercept =3 2: write an equation for the line with slope 4.2 and y-intercept (0, 3.4) 2: write an equation for the line that is parallel to the given line and that passes through the given point. 2: write an equation for a line with points-6,1 and -4,2 2: write an equation for a line that is perpendicular to the given line and that passes through a given point 2: write an equation for a line passing through these points 2: write a simplified algebraic expression for each shaded area 2: write a quadratic function in standard form with 3 given points 2: write a quadratic equation with the given roots in the form ax^2+bx+c=0 2: write a quadratic equation whose roots are (5/2;-5) 2: write a quadratic equation in the variable x having the given numbers as solutions. 5 2: write a quadratic equation in the variable x having the given numbers as solutions. 2: write a quadratic equation in the variable x having the given numbers as a solution. type the equation in standard form, ax 2: write a quadratic equation having the given numners as a solution -3 and -1 2: write a quadratic equation having the given numbers as solutions. -7 and -4 2: write a quadratic equation having the given numbers as solutions 2: write a quadratic equation having -8 and -1 as solutions 2: write a program that calculate the sum of all odd numbers between 1to50 2: write a point-slope equation 2: write a paragraph proof for the following.given: line c is parallel to line d, angle 1 is congruent to angle 3 2: write a linear equation to predict the median age that men marry m for any year t. 2: write a linear equation to find temperature t and elevation e 2: write a function for the total distance d(n) traveled after n hours at a constant speed of 45 miles per hour 2: write a formula for the monthly demand 2: write a difference as a sum 2: write 4.0171 as a common fraction or mixed number 2: write 3x-6y=-14 in polar form. 2: write .32 as a fraction in its simplest form 2: write conic equation y^2-12y-8x+20=0 in standard form 2: would you please help me with this problem 2: worlds longest algebra problem 2: world's weakest beer 2: working together, how much time will it take them, algebra 2: working math problems 2: worker effeciency algebra problem 2: work rate problem 2: work problems math 2: work on math problems 2: work algebra problems online 2: words to figure out an equation 2: words for algebraic equations 2: word solving quadratic equation 2: word problems: investments 2: word problems/money-related problems formula 2: word problems, algebra 2: word problems with quadratics 2: word problems with quadratice formula 2: word problems with percents 2: word problems together 2: word problems that lead to simple linear equations 2: word problems systems of linear equations 2: word problems solver algebra 2: word problems slope and 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breakdown consecutive integers 2: word problem about acute triangle 2: word number games for rational expressions 2: word math solver 2: word equations with linear equations 2: word byss 2: word algebra problems 2: wor dproblems linear 2: wollygoggles and other creatures answers 2: without writing them all out, what is the number of subsets of set b = {3, 6, 9, 12, 15}? 2: without solving the equation (or factoring), determine the solutions to the equation x2 – 6x = 0 using only the graph. 2: without graphing, identify the slope and the y-intercept for the line associated with each equation or table of values in 5x + 20y = 60 2: without graphing, identify the slope and the y-intercept 2: without graphing find the slope and the y-intercept 2: with a tail wind, a plane traveled 300 mi in 5 hours. with a head wind, the plane traveled the same distance in 8 hours. which system of equations could be used to solve this problem? (let s be the speed of the plane and w be the tailwind.) 2: window surmounted 2: williamston daily is a new daily newspaper. when they first started printing three years ago they had 5700 home delivery subscribers. 2: williamston daily is a new daily newspaper. when they first stated printing three years ago they had 5700 home delivery subscribers. the number of subscribers increases by 67 every month. write an equation that shows the relationship between the number of 2: why you would expect it to be or not to be normally distributed 2: why the line x=4 is a verticle line 2: why might normality be an issue? 2: why line x 4 is a vertical line 2: why is x=4 a vertical line? 2: why is this line x=4 a vertical line? 2: why is the population shape a concern when estimating a mean 2: why is the line x=4 a vertical line? 2: why is the line x =4 a vertical line? 2: why is the area of a circle bigger than the area of a square 2: why is population shape of concern when estimating a mean? what does sample size have to do 2: why is population shape of concern when estimating a mean what does sample size have to do with it 2: why is parallelogram different from rectangle 2: why is line x = 4 is a vertical line? 2: why is it true that any two points satisfying a linear equation give you the same graph for the line represented by the equation 2: why is it that you can use the same expressions to represent either consecutive odd or consecutive even integers? 2: why is it necessary to study the order of operations and the laws of operations before you begin solving equations 2: why is it important to simplify radical expressions befroe adding or subtacting? 2: why is it important to simplify radical expressions 2: why is cos 180 -1 2: why is a parallelogram a trapezoid 2: why is 421 not a prime number? 2: why ice does not melt at 5 degree centigrade 2: why does the line x = 4 is a vertical line. 2: why does the inequality sign change when both sides are multiplied or divided by negative number? 2: why does the inequality sign change when both sides are multiplied or divided by a negatrive number 2: why does the inequality sign change when both sides are multiplied or divided by a negative number?does this happen with equations? why or why not 2: why does the inequality sign change when both sides are multiplied or divided by a negative number?does this happen with equations? 2: why does the inequality sign change when both sides are multiplied or divided by a negative number? does this happen with equations? 2: why does the inequality sign change when both sides are multiplied or divided by a negative number and provide an example problem 2: why does the inequality sign change when both sides are multiplied or divided by a negative number and does this happen in equations 2: why does the inequality sign change when both sides are multiplied or divided 2: why does the inequality sign change when both sides are multiplied or divide by a negative number? 2: why does the inequality sign change when both sides are mulitplied 2: why does the inequality sign change when both sides are does this happen with equations? 2: why does the inequality sign change when both sides are multiplied or divided by a negative number? does this happen with equations? why or why not? 2: why does the inequality sign change when both sides are multiplied or divided by a negative number? does this happen with equations? 2: why does the inequality sign change when both sides are multiplied or divided by a negative number 2: why does the inequality sign change when both sides are multiplied or divided by a negative number? 2: why does the inequality sign change when both side are multiplied or divided by a negative number? does this happen wit equations? why or why not? 2: why does sign change inequality 2: why does multiplying inequalities give a negative answer 2: why does inequality sign change when both sides are multiplied or divided by a negative number 2: why does an inequality sign change both signs are multiplied by a negative number 2: why do x= 4 on a vertical line 2: why do we use average 2: why do we need to know aboyt averages 2: why do the quadrants in algebra go counterclockwise 2: why do the inequality sign change when you multiply or divide by a negative number 2: why do most quadratic equations have two solutions? 2: why do inequality sign change when both sides are multiplied or divided by a negative number 2: why do extraneous solutions sometimes occur in the process of solving rational or radical equations 2: why can't the length width and diagonal of a rectangle be consecutive odd integers 2: why can't a equal 0 in a quadratic equasion 2: why are there usually two solutions in quadratic equations? 2: why are there 31 lockers open 2: why an even function f does not have an inverse 2: why a three legged stool is moresteady than a four legged stool 2: who will feel colder? a person in minneapolis at 10°f with a 15-mph wind or a person in chicago at 20°f with a 25-mph wind? 2: who knew the answer of four nines 2: who invented algebra? 2: who discovered algebraic expressions 2: who came up with the cartesian coordinate system 2: who came up with distance 2: while finding the amount of seed needed to plant his three square wheat fields, hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. if the total area of the three fields is 38 square kilometers, then what is the area of each field? 2: while finding the amount of seed needed to plant his three square wheat fields, hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of 2: which value of r indicates a stronger correlation than 0.40? 2: which sampling distribution would you use if random samples of 10 bottles are to be weighed? 2: which product represents the solution to the system 2: which of the lists of three lengths can form a triangle? 2: which of the following values is not equal to 34(58+9)? answers 2: which of the following values is not equal to 34(58+9)? a. 34 x 67 b. 58(34+9) c. 34 x 58 + 34 x 9 d. 1,972 + 306 2. 2: which of the following values is not eaual to 34(58+9) 2: which of the following value is not equle to 34(58+9) 2: which of the following sets is not closed under addition? 2: which of the following numbers are integers? 75,9.82,-1/4,-498,0.71 2: which of the following is the inverse function of y=log(base4)x 2: which of the following is the formula for finding the slope of a line passing through two points l & m in an xy-coordinate system where point l is above point m? 2: which of the following is the correct graph for x=3 and x= -2? 2: which of the following is not a rational number? 2: which of the following is equal to 5.93*1o-2? 2: which of the following is a logarithmic function? a) f(x) = x2 b) l(t) = 1 − e-t c) g(q) = q-2 d) (d) r(x) = 4 ln(x) 2: which of the following inequalities contains (0, 0) in its shaded region 2: which of the following graphs shows the solution of y + 2x + 2 = 0 and y = 2: which of the following fractions is the equivalent of 0.5% 2: which of the following fractions is equal to 5/6? a. 20/30 b. 15/24 c. 25/30 d. 40/54 e. 2/7 2: which of the following expressions represents the product of three less than x and five more than twice x 2: which of the following expressions represents the product of 3 less that twice x and 2 more than the quantity 3 times x? 2: which of the following expressions represents the product of 3 less than twice x and 2 more than the 2: which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ? 2: which of the following are point-slope equations of the line going through (6, 7) and (2, -1)? 2: which of the following are equal to the expression below? check all that apply. 2: which objects might be in the way as you lay the pipe for the sprinkler 2: which number is smaller -9 or -6 2: which number comes next in this series: 36, 37, 39, 42, 46, 51, ? 2: which mover provides a better deal for 2 hours of work how did you arrive at your answer 2: which mover provides a better deal for 2 hours 2: which methods is best when using substitution or elimination. 2: which method is better +substituion or graphing 2: which is equation is parallel to 8x + 2y=10 2: which is an equation of the line with slope 6 and y-intercept -4 2: which is a website where they answer all geometry questions 2: which is a counterexample of a statement, 2: which fraction is equal to 0.20%? 2: which fraction is equal to 0.20% 2: which figure below is the correct graph of the linear equation y = –2x – 1 2: which conics have horizontal line symmetry 2: where would 15/4 be on a number line 2: where can i invest $7000? 2: where can i go to get my system of equations problems solved? 2: where can i get step by steps solution to algebra problems 2: where are algebra radicals used? 2: when you solve a system of equations by the substitution method, how do you determine whether the system of equations is dependent? 2: when y varies directly as x 2: when will train b catch up 2: when will the two tanks contain the same amount of water? algebra question 2: when will the trains be 210 miles apart 2: when will the cyclist be 10 miles apart 2: when two numbers are added together the result 2: when the sign change in the inequality equations 2: when solving an inequality, when must you reverse the direction of an inequality symbol? 2: when solving an inequality, when is it necessary to change the direction of the inequality symbol? give a real life example. 2: when solving an inequality, when is it necessary to change the direction of the inequality symbol 2: when solving a rational equation, why it is ok to remove the denominator by multiplying both sides by the lcd? 2: when solving a rational equation, why is it necessary to perform a check 2: when solving a rational equation why is it ok to remove the denominator by multiplying both sides by the lcd? why can you not do the same operation when simplifying a rational expression? 2: when managing a business, it is important to take inventory of where your money is spent 2: when is slope undifined 2: when is it necessary to change the direction of the inequality give a real life example 2: when is it appropriate to use the paired difference t-test 2: when is a linear equation not a function? 2: when interest added to the principal amount and then interest is caculated on this new amount, is the process called simple intrest 2: when doing radical expressions, what does it mean round answers to the nearest hundredth if necessary? 2: when does the inequality sign change 2: when does inequality sign change 2: when does an inequality sign change 2: when do you flip the equality sign in algebra 2: when do you change the way the sign is facing in an inequality 2: when an equation has infinitely many solutions 2: when a linear equation is not a function 2: when a confidence interval for a population mean is constructed from sample data, 2: when a card is drawn from an ordinary deck, find the probability of getting a jack 2: when a card is drawn from an ordinary deck find the probability of getting 2: when 0.5 cm was planed off each of the six faces of a wooden cube , its volume decreased by 169 cm ^3 . find its new volume 2: wheel’s bicycle shop advertised a bicycle for 15% off for a savings of $36. the bicycle did not sell so it was offered at a new 20% discount off the sale price. 2: whats two consecutive whole number of 105 2: whats three times the larger of two numbers is equal to four times the smaller the sum of the number is 21 find the numbers 2: whats the probability a alternator will fail on a 1 hour flight at 0.2 2: whats the differences between a rectangle,square a rhombus 2: whats the answer for 4x=48 show me the steps 2: whats is quadratic formula standard form 2: what's the square root of x+3=20 2: what's the slope of this problem (3, 8) and (4, 9) 2: what's the slope of the line through points -5, -1 and 2, 3 2: what's the relationship between parallelogram and trapeziods 2: what's the method to solve a proportion 2: what's the measure of an angle if its measure is 10 degrees less then nine time the measure of its complement 2: what's the equation for upper half of a circle 2: what's the difference between a rhombus and a square 2: what's the answer to this linear equation 4x+2y=2 and 5x-2y=-11 2: what's the answer for this equation a=20t-600 x int and y int? 2: what's step function? 2: what's a unit rate 2: what's 40% of 300 with steps? 2: what's 25/10 as a decimal 2: what would the graph of interval 4,10 look like 2: what would be the width if the perimeter is greater than 98 cm? 2: what will the last payment be to pay off a $1,250 computer plus 8% sales tax with monthly payments of $120? 2: what will the last payment be to pay off a $1,250 2: what will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard? 2: what will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard 2: what was the percent increase in the mean population from 1950 to 2000? 2: what was the percent increase in population in south america from 1900 to 1950? 2: what was the percent growth in home depot’s sales from 2002 to 2006? do all your work by using scientific notation. 2: what was the msrp for a hummer h1 that sold for $107,272 after and 8% discount 2: what was the msrp for a hummer h1 that sold for $107,272 after an 8% discount 2: what was the hourly rate of temperature change? 2: what was the cost for the 10 percent of employees who incurred the highest dental expense? 2: what value of x cannot be solutions of the equation loga(3x-5)=4 2: what value does the null hypothesis make a claim about 2: what types of polygons 2: what type of function models the behaviour of the graph? bmi 2: what two prime numbers if multiplied would make a 400-digit number? 2: what two numbers go in 180 2: what two nonzero whole numbers equal 2145 2: what two consecutive odd integers whose sum is 116 2: what two consecutive numbers are a multiple of seven? 2: what two consecutive even integers whose sum is 126 2: what to do with a slope 2: what times what equals 44 2: what time will a baseball reach the maximum height 2: what the percent increase or decrease of 45 to 60 2: what sum of two numbers equals -261 2: what simple interest rate will susan need to secure make $2500 in interest on $10000principal over 5 years 2: what similarities and differences do you see between functions and linear equations?. 2: what similarities and differences do you see between functions and linear equations studied in ch. 3? 2: what similarities and differences do you see between functions and linear equations 2: what similarities and differences do you see between functions and linear eequations 2: what similarities and differences do you see between domain and range? 2: what should the side length of the cut-out square be in order to produce a box of maximum volume 2: what score from 0-100 corresponds to a test result of 38 correct, 4 incorrect and 8 omitted 2: what sample size would be necessary to estimate the true weight with an error of ±0.03 grams with 90 percent confidence? 2: what quadrant is v=5i+j in 2: what percent of the households in his assignments had he finished if he had to interview a total of 63 households and has finished 28 2: what percent of 90 is 50? 2: what percent of 76 is 19 2: what percent of 7 is 0.04? 2: what percent of 65 is 13 2: what percent of 24 is 72? 2: what numbers have a difference of ten and the sum of 34 2: what number's greatest digit is 9, but less than 900. it is one more than a multiple of10 and the sum of the digit is 12? 2: what number is exactly between fifty and eighty 2: what must be true of measure of supplementary angle if they are equal 2: what measurements do you need to find area and perimeter of a sqare 2: what measure of angle is swept by the minute hand during the duration of class if the class starts at 2:16 p.m. and ends at 2:47 p.m.? 2: what measure of angle is swept by the minute hand during the duration of a class if the class starts at 2:16 pm and ends at 2:47 pm 2: what measure of angle is swept by the minute hand during the duration of a class if the class starts at 2:16 p.m. and ends at 2:47 p.m. ? 2: what measure of angle is swept by the minute hand during the duration of a class if the class starts at 2:16 p. m. and ends at 2:47 p. m. ? 2: what measure of angle is swept by the minute hand during the duration of a class if it starts at 2:16 pm and ends at 2:47 pm 2: what measure of angle is sewpt by the minute hand during the duration of a class if the class starts at 2:16 pm and ends at 2:47 pm 2: what is x when x/64=1/4 2: what is width of a rectangle if the diagonal is 10 inches 2: what is volume of box with dimensions of 1 inch on each edge? 2: what is the y-intercept for the equation 3x-2y=12 2: what is the y intercept in 5x+6y=30 2: what is the x intercept for 3x-4y=12 2: what is the x coordinate of the point in the standard x,y coordinate plane 2: what is the width of the border of a garden 4m by 12m 2: what is the width of a rectangle if its length is 16 cm. and area is 48 square cm. 2: what is the volume of a tank that is 8 ft in diameter and 12 ft high 2: what is the volume of a tank 6 feet cubed 2: what is the volume of a sphere of radius 4 meters? 2: what is the volume of a sphere of radius 4 meters 2: what is the volume of a cube whose surface area is 294? 2: what is the volume of a box that is 24 cm tall, 12 cm wide and 5 cm deep 2: what is the volume in liters of a rectangular tank which measures 2.0m by 50 cm by 200mm 2: what is the vertex of x^2+4x-7 2: what is the variable used to predict the value of another called? 2: what is the value of y in the parallelogram? 2: what is the value of x if the area is 108 square inches 2: what is the value of sin 22.5 degrees 2: what is the value of a cube of side 4cm 2: what is the unit rate for 3 tablespoons for 1.5 servings 2: what is the unit rate 2: what is the third side of a triangle if two sides at 20 feet are 45 degrees apart 2: what is the surface area of a rectangular prism that is 6 inches long 8 inches wide 2 inches high 2: what is the suppliment angle of a pentagon 2: what is the supplementary angle to 195 degrees 2: what is the supplementary angle to 118 degrees 2: what is the sum of the measures of exterior angles for a 15-gon 2: what is the sum of the first 500 counting numbers 2: what is the sum of the first 50 natural number 2: what is the sum of the equation 2x+5x-7=0 2: what is the sum of all the odd numbers from 1- 201 2: what is the sum of a 50-gon 2: what is the sum of 7+3 2: what is the square root of xy-3 to the 4th 2: what is the square root of 4/49 2: what is the square root of 3/7 2: what is the square root of 112 simplified 2: what is the sqaure root of 306 2: what is the solution to the system of equations that contains −3x + y = 3 and 2x − y = −1? 2: what is the solution to the set of elements common to both inequalities? 2: what is the solution to sec(x)-tan(x)=cos(x) 2: what is the solution of y=-2x+1 2: what is the solution of the system x+5y+8 (1) 2: what is the solution of the system of linear equations x=5, y=-2 2: what is the solution of sysytem 9x+3y=-42 and -8+y=52 2: what is the solution of 9x+9y=9 and -5x+y=31? 2: what is the solution for 6x- 6 =36 2: what is the smallest composite number that is not divisable by 2,3,5,7 2: what is the smallest composite number that is not divisable by 2 3 5 7 2: what is the slope-intercept form of 8x-3y-5=0 2: what is the slope of y=5x-16 2: what is the slope of the line that passes through the points (2, -1) and (2,0)? 2: what is the slope of the line perpendicular to the line 4x-2y=7 2: what is the slope of the line passing through points a (5,4) and b(0,3)? 2: what is the slope of the line of best fit? use the points (1991, 230) and (1997,350). show your work. 2: what is the slope of the line determined by the coordinates (2, 3) and (-6, -4)? 2: what is the slope of the line 4x + 2y = 10? 2: what is the slope of the line 12x + 2y = -48? 2: what is the slope of the line that has the equation 4x+2y=12 2: what is the slope of a line that is parallel to the line represented by the equation 8x+2y=4? 2: what is the slope of a line parallel to the line whose equation is 5x 2y = 11? 2: what is the slope of a line parallel to 4x + y = -1? 2: what is the slope of 8y+5x+8=15+5x 2: what is the slope intercept method 2: what is the slope int. form of a line parallel to 5x-2y=10 and containing the points(3,-5) 2: what is the slope and the y-intercept for 5x + 20y = 60 2: what is the slop of y=-2 2: what is the sin of 112.5 degrees 2: what is the significance of scalarmultiplication in linear transformations 2: what is the scientific notation of 0.0000032 2: what is the scientific notation for 3286 2: what is the relationship between time and monthly payment 2: what is the ratio of length to width of a rectangle that is 2ft. long and 1 1/2ft. wide 2: what is the range of values for the coefficient of determination 2: what is the radius of a sphere in centimetres if the volume is 49.56 cm3 2: what is the pv of $0.00? 2: what is the product of a number digits 2: what is the probability that, for a couple with heart disease that have two children? 2: what is the probability that the sample contains exactly four female students 2: what is the probability that the mean weight loss after one week on this pill for a random sample of individuals will be pounds or less? 2: what is the probability that he gets exactly four questions correctly? 2: what is the probability that a randomly selected car of this model will have a gas tank that holds at most 11.7 gallons? 2: what is the probability that 6 rolls of a fair die will show three threes? 2: what is the probability of obtaining a sum of at least 6 when rolling a pair of dice? 2: what is the probability of having three girls out of five children 2: what is the probability of drawing a full house from a standard 52-card deck of playing cards 2: what is the probability of choosing a prime number from the numbers 90 to 100 inclusive 2: what is the prime factorization of 300 2: what is the present value of the annuities a) $2,500 a year for 10 years discounted back to the present at 7 percent 2: what is the present age of each? algebraic expressions 2: what is the perimeter of a basket ball court 2: what is the percentage of increase in the following :45 mph to 60mph 2: what is the percent increase in the population for all six inhabited continents, excluding asia, from 1950 to 2000., 2: what is the pendulum's period meters 2: what is the palmyra triangle 2: what is the ordered pair for 5x=2-y 2: what is the number of values that are free to vary after a sample statistic that has been computed 2: what is the nonlinear functions 6x + 4y = 24 2: what is the next 2 numbers in this sequence 1,2,6,24,120 2: what is the measure of the complement for a 64 degree angle 2: what is the measure of an angle whose measure nine times its suplement 2: what is the measure of an angle whose measure is nine times its supplement? 2 2: what is the maximum possible number of acute angles in a pentagon? 2: what is the maximum possible number of acute angles in a pentagon 2: what is the maximum number of intersections of the graphs of an ellipse and a parabola? 2: what is the maximum number of intersections of the graphs of an ellipse and a hyperbola? 2: what is the maximum height of the equation 80t-16t^2 2: what is the logarithm of a product 2: what is the likelihood of selecting a sample with a mean of at least $112,000? 2: what is the likelihood at least one of the selected flights did not arrive within 15 minutes 2: what is the length of the hypotenuse in a right-triangle where the two sides that form the right angle are both 5 inches 2: what is the length of each side in a triangular sail in a perimeter of 57 feet 2: what is the length of a side in a 294cm2 cube 2: what is the length of a rectangle/picture 2: what is the least number of sides a parallel line can have 2: what is the lcm of 35y^2 + 175y? 2: what is the last non-zero digit of 96! 2: what is the largest area 20 feet of fence can cover 2: what is the interior angles on a polygon with 12 sides? 2: what is the height of a ten inch tv 2: what is the height of a 25 inch tv 2: what is the height of a 10' tv set and the width is 8' 2: what is the greatest zero 2: what is the greatest prime to consider testing when finding if 503 is prime 2: what is the greatest common factor of 5p and 20p to the 2 power 2: what is the graph of the equation 6x2 – 24x – 5y2 – 10y – 11 = 0? 2: what is the general term of 2, 4, 6, 8, 10 2: what is the gcf? 16a^4b^2 + 20a^2b^2 - 4ab2 2: what is the formula of the area of a heptagon 2: what is the formula in finding complex roots of the equation x^2+6x+25=0 2: what is the formula for sequence 7,17,31,49,71,... 2: what is the formula for finding a percentage 2: what is the formula area of a heptagon 2: what is the fill in of a rectangle in geometry 2: what is the fifth root of 96 2: what is the expression for the product of 3 less than twice x and 2 more than the quantity 3 times x? 2: what is the exponential of minus pi? 2: what is the expected value of a card drawn from a deck of 52 cards and your're paid $5 if its a red card? 2: what is the excluded values of 14/3x 2: what is the equation of the line that contains the points with x y coordinates –3 7 and 5 –1 2: what is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) 2: what is the equation of the line that contains the points with (x, y) coordinates (–3, 7) and (5, –1)? 2: what is the equation of the line (axis) of symmetry for this graph with the solution of x=6 and x=0 2: what is the equation of an ellipse using the pythagorean theorem 2: what is the equation of a line that is perpendicular to 4x + 2y=10 that passes through (-4,6) 2: what is the equation of a line perpendicular to the first line and with the same intercept 2: what is the equation of a line 2: what is the equation in slope 2x+3y-6=0 2: what is the equation for a line that goes through points (-2, -3) and (4, 24)? 2: what is the equation for a line 2: what is the equation for -3=y-4 2: what is the divisibility of 404 2: what is the distance between (-4,y) and (r,2) 2: what is the directrix of the parabola with the equation y + 3 = 1/10(x + 2)2 2: what is the difference between parallelogram and a trapezoid 2: what is the difference between function and range 2: what is the difference between explain and state in geometry proofs? 2: what is the difference between domain and range? describe a real-life situation that could be modeled by a functi 2: what is the difference between domain and range? describe a real-life situation that could be modeled by a function. 2: what is the difference between a rectangle and rhombus 2: what is the difference between a rectangle and a rhombus 2: what is the difference between a parallelogram and a rectangle 2: what is the difference between a domain and range? 2: what is the difference between a combination and a permutation? 2: what is the diameter of a can of soda 2: what is the definition of multiples 2: what is the cost to remove 75 of the pollutant 2: what is the cost in dollars to steam clean a room w yards wide and l yards long it the steam cleaners charge 10 cents per square foot? 2: what is the cost in dollars to steam clean a room w yards wide and l yards long it the steam cleander charge 10 cents per square foot? 2: what is the cost in dollars to steam clean a room w yards wide and l yards long if the steam cleaners charge 10 cents per square foot 2: what is the cost in dollars to steam clean a room w yards 2: what is the cost in dollars to steam clean a room 2: what is the connection between rational numbers and division 2: what is the complementary angle of 35 degrees 2: what is the complement to 50 degrees 2: what is the complement of angle xyz? 2: what is the complement of a 42 degree angle 2: what is the complement of 15 degrees 2: what is the circumference of a circle 3.14 for radius and 3.75 ft? 2: what is the best method substitution or elimination in equations 2: what is the best estimate of the mean tread life in miles for the entire population of these tires? 2: what is the average (arithmetic mean) of 8, 7, 7, 5, 3, 2, and 2 2: what is the area of an ellipse with the major axis 20 m and the minor axis 10 m 2: what is the area of a rectangle with 1 1/2inch length and 1 inch width 2: what is the area of a rectangle that has a base of 5 m and a height of (4a+b) m 2: what is the area of a circle. if the diameter of th