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# Recent problems solved by 'solver91311'

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 Travel_Word_Problems/627033: Nancy and mark commute to work, traveling in opposite directions. Nancy leaves the house at 9:00 A.M. and average 35 miles per hous. Mark leaves at 9:15 A.M. and averages 60 miles per hour. At what time will they be 175 miles apart?1 solutions Answer 394632 by solver91311(17077)   on 2012-07-09 15:55:36 (Show Source): You can put this solution on YOUR website! First calculate the distance Nancy traveled during her 15 minute head start using Distance equals Rate times Time. In order to keep everything in consistent units, use 1/4 hour instead of 15 minutes in this calculation. (The alternative is to change the given speeds to miles per minute making all of the arithmetic much uglier than it already is) Subtract the results of the above calculation from the given 175 miles. The difference is the number of miles that must be traversed at the SUM of their speeds. Calculate the time required for them to travel the difference distance at the sum speed (Time equals Distance divided by Rate). Add that amount of time to 9:15 AM. John My calculator said it, I believe it, that settles it
 Geometry_proofs/627052: PA IS TANGENT TO THE CIRCLE WITH CENTER O, PROVE APB ~ CPA1 solutions Answer 394618 by solver91311(17077)   on 2012-07-09 15:16:24 (Show Source): You can put this solution on YOUR website! First write 100 times: "I will not type in all caps because it is the equivalent of shouting and is therefore rude and annoying." You also have to define where points B and C are located. Then I will help you with this problem. John My calculator said it, I believe it, that settles it
 Rectangles/627028: The length of a rectangle is twice its width. If the area of the rectangle is 72 ft, what is its perimeter? 1 solutions Answer 394615 by solver91311(17077)   on 2012-07-09 15:13:40 (Show Source): You can put this solution on YOUR website! If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, , Then knowing that the Perimeter is given by: , make the substitution: Then solve for For your problem: , , and . Do the arithmetic. John My calculator said it, I believe it, that settles it
 logarithm/627046: solve the exponential equation. express irrational solutions as decimals correct to the nearest thousandth. 2^x-2=3^2x1 solutions Answer 394614 by solver91311(17077)   on 2012-07-09 15:09:49 (Show Source): You can put this solution on YOUR website! Note: Take the natural log of both sides (actually, any base will do as long as you use the same base on both sides of the equation) Use to write: Multiply both sides by the reciprocal of terms on the left, constants on the right, just like any other single variable equation. Factor out Multiply by the reciprocal of the coefficient on The rest is just calculator work. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/627048: An apple falling from a tree is h feet above the ground t seconds after it begins to fall, where h = 64-16t^2. After how many seconds will the apple hit the ground?1 solutions Answer 394609 by solver91311(17077)   on 2012-07-09 14:55:42 (Show Source): You can put this solution on YOUR website! Set your function equal to zero and solve for . Discard the negative root since you don't care what happened BEFORE the apple started falling -- do you? John My calculator said it, I believe it, that settles it
 Rational-functions/627047: discribe hoe the graph of g(x)= ^3sqrt.x-6 can be obtained from the graph of f(x)^3sqrt.x thengraph the function g(x)1 solutions Answer 394608 by solver91311(17077)   on 2012-07-09 14:53:20 (Show Source): You can put this solution on YOUR website! Move everything 6 units to the right. John My calculator said it, I believe it, that settles it
 Percentage-and-ratio-word-problems/627039: A student needs to purchase supplies that are needed for a particular class. Since he is a student of the local area college store A offers a 10% discount on every dollar spent and store B offers a 20% discount on every dollar after the initial purchase of $50.The supplies that he is needing to purchase is a graphing computer program, scientific calculator, protractor, compass, ink pens, pencils, markers, and graphing paper.The retail total of the supplies are$187. Which store offers the greater savings for the student?This needs to be put into an algebraic form. I am stumped on the algebraic form.1 solutions Answer 394607 by solver91311(17077)   on 2012-07-09 14:48:22 (Show Source): You can put this solution on YOUR website! At the place that gives him a 10% across the board discount, he is paying 90% of the total bill. At the other place he is paying $50 plus 80% of the total bill minus$50 Let represent the total cost of the required supplies. Then the first store is going to charge him and the second store is going to charge him For the given situation, plug in $187 for and then do the arithmetic. The smaller result is the better deal. John My calculator said it, I believe it, that settles it  Rate-of-work-word-problems/627045: It takes Painter A 10 hours to paint a room. It takes Painter B 6 hours to paint the same room. If they paint the same room together, how long would it take them?1 solutions Answer 394606 by solver91311(17077) on 2012-07-09 14:41:07 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. John My calculator said it, I believe it, that settles it  Graphs/627020: solve the inequality |5x+10|>=15 a. (-infinity,-5] U [1,infinity) b. no solutions c.[1,infinity) d.-infinity,-5)1 solutions Answer 394589 by solver91311(17077) on 2012-07-09 12:57:22 (Show Source): You can put this solution on YOUR website! Remove the absolute value bars and create two inequalities: and Solve the two inequalities and then create the union of the two solution sets. John My calculator said it, I believe it, that settles it  Inequalities/627022: What are the steps to solving this inequality? -15<-4x+13 1 solutions Answer 394586 by solver91311(17077) on 2012-07-09 12:53:04 (Show Source): You can put this solution on YOUR website! Add -13 to both sides Multiply both sides by and reverse the sense of the inequality because of multiplication by a negative number. John My calculator said it, I believe it, that settles it  Miscellaneous_Word_Problems/626996: In an expression, define variable for time rode in the elevator and use variable to write rule for depth below the surface. The deep mine is 12,720 feet deep. An elevator takes miners up at the rate of 20 feet per second. Assume that the number of feet below the surface is a negative number. 1. If the miners get on this elevator at the bottom of the shaft and ride it for 40 seconds, how far are they still below the surface? 2. In how many seconds will the miners be 6,000 feet below the surface? 3. f they ride the elevator for three and three-quarter minutes, how far below the surface are they? 4. How long does it take the miners to reach the surface?1 solutions Answer 394584 by solver91311(17077) on 2012-07-09 12:50:52 (Show Source): You can put this solution on YOUR website! Your problem doesn't specify the speed when the elevator is going down, and there is no reason to assume that the speed going up and the speed going down is the same, hence the following function is only valid for modeling the situation where the elevator is going up. Presuming that a miner could enter or exit the elevator at intermediate points between the bottom of the shaft and the surface, a start depth, must be specified. The distance traveled in seconds is feet since the elevator rises at 20 feet per second. Taking into account that is a distance below ground and is therefore a negative number, we write: where and and John My calculator said it, I believe it, that settles it  Matrices-and-determiminant/627008: when solving a system of equations using Cramer's Rule, if Dx(the x is tiny and next to D)=0, Dy(y tiny next to D)=-1, and D=0, then what can you conclude? 1. the system has one solution, (0,-1,1) 2. the system is inconsistent 3. the system has one solution, (0,0,0)1 solutions Answer 394583 by solver91311(17077) on 2012-07-09 12:11:54 (Show Source): You can put this solution on YOUR website! If and at least one of , then the system is inconsistent. John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/627005: x^2-11x+28 factor trinomial or is it a prime1 solutions Answer 394582 by solver91311(17077) on 2012-07-09 11:52:12 (Show Source): You can put this solution on YOUR website! -4 times -7 equals 28, -4 plus -7 equals -11 John My calculator said it, I believe it, that settles it  Functions/627000: find the domain of f(x)= (log(x-1))/ (sqrt(6-3x))1 solutions Answer 394581 by solver91311(17077) on 2012-07-09 11:50:05 (Show Source): You can put this solution on YOUR website! The domain is the set of allowable inputs. First, the logarithm function is defined for strictly positive arguments. Hence, is restricted by which is to say Further, the square root function is defined for non-negative arguments, so considering only the square root function, is restricted by . However, since the square root function is in the denominator of the rational function, the value zero for the square root function must also be excluded from the domain. Hence we must only include , which is to say . Putting the two restrictive statements together we get: John My calculator said it, I believe it, that settles it  Graphs/626923: the graph of the function h(x) is shown find the function values h(2),h(4), and h(5) h(2)= link to question here http://oi50.tinypic.com/120l7oh.jpg1 solutions Answer 394501 by solver91311(17077) on 2012-07-09 04:30:20 (Show Source): You can put this solution on YOUR website! is the -coordinate of the point on the graph where . The others work the same way. Think of it this way: Instead of writing for a general representation of an ordered pair, use when referring to a point on the graph of a function. John My calculator said it, I believe it, that settles it  Exponential-and-logarithmic-functions/626922: Describe the steps to use your calculator to graph the scatter plot and find the exponential regression line of a given set of data.1 solutions Answer 394497 by solver91311(17077) on 2012-07-09 04:08:53 (Show Source): You can put this solution on YOUR website! Refer to your calculator instruction book. John My calculator said it, I believe it, that settles it  Exponential-and-logarithmic-functions/626921: Bakersfield, CA was founded in 1859 when Colonel Thomas Baker planted 10 acres of alfalfa for travelers going from Vesalia to Los Angelos to feed their animals. The city's population can be modeled by the equation y = 33,430e^0.0397t, where t is the number of years since 1950. 1) What in the formula tells you that Bakersfield has experienced population growth? 2) According to the formula, what was the population in 1950? 3) Use the formula to find the population in 2010. 4) Does the formula give an accurate projection for Bakerfield's population? Why or why not?1 solutions Answer 394496 by solver91311(17077) on 2012-07-09 04:07:59 (Show Source): You can put this solution on YOUR website! 1) The exponent on is positive. John My calculator said it, I believe it, that settles it  Exponential-and-logarithmic-functions/626920: For each problem below show your work and write your answer in a complete sentence. 1) A car depreciates or loses value at the rate of 20% per year. If the car originally cost$20,000, the depreciation can be modeled by the equation y = 20,000(0.8)^t, where y is the depreciation and t is the time in years. Find the value of the car at the end of 2 years. 2) The average growth rate of the population of a city is 7.5% per year and is represented by the formula y = A(1.075)^x, where x is the number of years and y is the most recent population. The city's population (A) is now 22,750 people. What is the expected population in 10 years? 3) How much should Sabrina invest now in a money market account if she wishes to have \$9000 in the account at the end of 10 years? The account provides an APR of 6% compounded quarterly. The formula for compound interest is A = P(1 + r/n)^nt. 4) Average national teachers' salaries can be modeled using the equation y = 9.25(1.06)^n, where y is the salary in thousands of dollars and n is the number of years since 1970? What can the teacher expect to have a salary in the year 2020? 5) Suppose a researcher estimates that the initial population of a colony of cells is 100. If the cells reproduce at a rate of 25% per week, what is the expected population of the colony in six weeks? Use the formula: N = N(1 + r)^t1 solutions Answer 394495 by solver91311(17077)   on 2012-07-09 04:06:11 (Show Source): You can put this solution on YOUR website! 1) Substitute 2 in place of and then do the arithmetic. John My calculator said it, I believe it, that settles it
 Sequences-and-series/626916: Evaluate: the top sigma is 4, the bottom sigma is i=0 and the middle is [3*2^(i+1)-1].1 solutions Answer 394494 by solver91311(17077)   on 2012-07-09 04:03:13 (Show Source): You can put this solution on YOUR website! Calculate when Remember, Repeat the above calculation for , , , and Then add up the results of your 5 calculations. Sorry, I don't do arithmetic for people. John My calculator said it, I believe it, that settles it
 Age_Word_Problems/626917: Half of dans age added to 1/3 of tom's age is 11 years from now the sum of their ages will be 40 years.how old is tom now ?1 solutions Answer 394493 by solver91311(17077)   on 2012-07-09 03:57:29 (Show Source): You can put this solution on YOUR website! Your problem is missing a number. Either Half of Dan's age added to 1/3 of Tom's age is 11. ?? years from now... or Half of Dan's age added to 1/3 of Tom's age is ??. 11 years from now... You'll find that you don't have nearly as much difficulty with mathematics when you pay careful attention to the details. John My calculator said it, I believe it, that settles it
 Quadratic-relations-and-conic-sections/626897: You have 18 cubic inches of wax, and you want to make a candle in the shape of a pyramid with a square base as shown. (sorry about no picture, the base of the pyramid is x and the height x+3) Write an equation for the volume of the candle. v=1/3Bh, where B= area of the base. 1 solutions Answer 394492 by solver91311(17077)   on 2012-07-09 03:54:02 (Show Source): You can put this solution on YOUR website! Which only has one real root. John My calculator said it, I believe it, that settles it
 Exponential-and-logarithmic-functions/626913: Describe the following characteristics of the exponential function y = b^x. 1) Domain 2) Range 3) y-intercept 4) Horizontal asymptote 5) Vertical asymptote 6) General shape1 solutions Answer 394491 by solver91311(17077)   on 2012-07-09 03:42:50 (Show Source): You can put this solution on YOUR website! The domain is all reals, the range is , the -intercept is , the horizontal asymptote is the -axis, there is no vertical asymptote (see answer to domain question), the curve approaches the -axis as , remains less than 1 as long as , contains the point , and then takes off quickly toward as John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/626904: WRITE THE FUNCTION EXPRESSING F IN TERMS OF C. I WANT TO KNOW THE ANSWER...CAN YOU HELP ME NOW?PLEASE?????IM BEGGING... 1 solutions Answer 394490 by solver91311(17077)   on 2012-07-09 03:36:26 (Show Source): You can put this solution on YOUR website! First write 100 times: I will not type messages in all caps because it is shouting and therefore both annoying and rude to the reader. Then I'll help you. John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/626907: give the difference between the two odd nubers right after 161 solutions Answer 394489 by solver91311(17077)   on 2012-07-09 03:34:57 (Show Source): You can put this solution on YOUR website! The difference between any two consecutive odd numbers is 2. The th odd number is , and the next odd number after that is . Then John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/626906: hmp..i ask for a help now...i need to know the answer now.. the problem goes like this THE TEMPERATURE OF AN OBJECT IN CELSIUS AND FAHRENHEIT SCALES ARE RELATED BY A LINEAR FUNCTION.WATER BOILS AT 100 DEGREE C OR 212 DEGREE F,AND FREEZES AT 0 DEGREE C OR 32 DEGREE F a.)IF THE WEATHER IS FORECAST AT 40 DEGREE C TODAY,WILL IT BE COLD.HOT OR JUST WARM?EXPLAIN? ......IM BEGGING YOU...PLEASE HELP ME.....NOW..1 solutions Answer 394488 by solver91311(17077)   on 2012-07-09 03:31:26 (Show Source): You can put this solution on YOUR website! First write 100 times: I will not type messages in all caps because it is shouting and therefore both annoying and rude to the reader. Then I'll help you. John My calculator said it, I believe it, that settles it
 Linear-systems/626910: solve x sqrt of x = 4 im not sure what to do with the square root1 solutions Answer 394487 by solver91311(17077)   on 2012-07-09 03:28:47 (Show Source): You can put this solution on YOUR website! Just square both sides of the equation. John My calculator said it, I believe it, that settles it
 Square-cubic-other-roots/626470: Find all values of A and B that make those two expressions equal to each other, √a+b and √a + √b?1 solutions Answer 394204 by solver91311(17077)   on 2012-07-07 13:16:30 (Show Source): You can put this solution on YOUR website! Square both sides: Add to both sides: Which is true if and only if or or both. John My calculator said it, I believe it, that settles it
 Geometry_proofs/626471: I have a diagram of an isosceles triangle The verticals A and B are shown to be congruent. The only information that is given is the angel of A It is 96 deg. The practice question asks for the values of the angles for B and C. B/\ / \ / \ 96 /______\C How can I find B and C? I am in 10th grade trying to get ready for the next school year. Sorry the triangle did not come out to well on the email.1 solutions Answer 394201 by solver91311(17077)   on 2012-07-07 13:10:08 (Show Source): You can put this solution on YOUR website! Your picture is a little whack as compared to your description. If the measure of angle A is indeed 96 degrees, then A has to be the vertex angle of your isosceles triangle. That's because if one of the base angles measured 96 degrees, then the other base angle must also measure 96 degrees, and you cannot have two angles greater than or equal to 90 degrees in any triangle -- and that is because the sum of the measures of the angles in any triangle is 180 degrees. So you see two 96 degree angles would mean that you have the sum of the interior angles at greater than 192 degrees -- impossible. So, given that the vertex (or apex if you would rather) measures 96 degrees, subtract 96 from 180 and divide what you have left by 2 giving you the measure of your two base angles. John My calculator said it, I believe it, that settles it
 Functions/626402: what is the y intercept of x-2y=01 solutions Answer 394142 by solver91311(17077)   on 2012-07-07 02:56:09 (Show Source): You can put this solution on YOUR website! The -intercept is the point on the graph where the -coordinate is zero. Substitute zero for and then do the arithmetic to determine the resulting value of . Then form the ordered pair where is the value of just calculated. Use the same process to find the -intercept, except you substitute zero for . John My calculator said it, I believe it, that settles it
 Coordinate-system/626400: what is the x intercept of x-2y=01 solutions Answer 394140 by solver91311(17077)   on 2012-07-07 02:48:03 (Show Source): You can put this solution on YOUR website! Trying to game the system by submitting the same question several times gets you nowhere. Repost once only. John My calculator said it, I believe it, that settles it
 Coordinate-system/626401: what is the x intercept of x-2y=01 solutions Answer 394139 by solver91311(17077)   on 2012-07-07 02:47:48 (Show Source): You can put this solution on YOUR website! Trying to game the system by submitting the same question several times gets you nowhere. Repost once only. John My calculator said it, I believe it, that settles it