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Length-and-distance/596995: what is the length of a segment? 1 solutions Answer 377976 by solver91311(16897)   on 2012-04-09 22:01:39 (Show Source): You can put this solution on YOUR website! The distance from one endpoint to the other. If you know the coordinates of the endpoints then: John My calculator said it, I believe it, that settles it

Triangles/596986: The hypotenuse of an isosceles right triangle has a length of 10 centimeters can you please estimate the length of each of The 2 legs? 1 solutions Answer 377970 by solver91311(16897)   on 2012-04-09 21:33:09 (Show Source): You can put this solution on YOUR website! Just a smidgin more than 7. Closer is 7.07 John My calculator said it, I believe it, that settles it

Functions/596955: Can someone help me solve f(x)=x^2+3x+2 for f(2u) 1 solutions Answer 377969 by solver91311(16897)   on 2012-04-09 21:29:28 (Show Source): You can put this solution on YOUR website! Start with then every place you see an , replace it with a . Finally, simplify. John My calculator said it, I believe it, that settles it

Polygons/596945: a regular 15-gon has a perimeter of 90ft. find its area. 1 solutions Answer 377965 by solver91311(16897)   on 2012-04-09 20:40:45 (Show Source): You can put this solution on YOUR website! Since the 15-gon is regular, each side measures the quotient of the perimeter divided by the number of sides. The area is given by Where is the measure of one side and is the number of sides] John My calculator said it, I believe it, that settles it

Linear-equations/596927: Confused if i know the input and part of the output how do i get a formula. this is what i know input output my guess on output 0 ___ -2.8 1 -2 2 __ -1.2 3 __ -.4 4 __ .4 5 __ 1.2 6 2 the -2 and 2 were given I guessed on output but not sure how to write a formula off of this information 1 solutions Answer 377964 by solver91311(16897)   on 2012-04-09 20:34:28 (Show Source): You can put this solution on YOUR website! Your guesses are all spot on. You are given two ordered pairs, (1, -2) and (6, 2). Now all you need is the two-point form of an equation of a line: where and are the coordinates of the given points. Just plug in the numbers, do the arithmetic and simplify. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/596865: Please help me solve. A gardner is lawn mowing a series of front yards. By 11:00 am, he had mowed 9 houses and by 1:30 pm he had completed 14. a. Find his mowing rate in number of houses per hour. b. Find his mowing rate in minutes per house. 1 solutions Answer 377916 by solver91311(16897)   on 2012-04-09 18:09:59 (Show Source): You can put this solution on YOUR website! The question presumes a linear model for your data. You are given 2 data points: 11 am, 9 lawns and 1:30 pm, 14 lawns. Let 0 time represent 11:00 am, and then since 1:30 pm is 2 and 1/2 hours later, let 2.5 time represent 1:30. Now you have two ordered pairs: (0,9) and (2.5,14). Use the two-point form of an equation of a line to write an equation that models your data: where and are the coordinates of the given points. Once you have your equation simplified, use the slope (i.e. the coefficient on the independent variable) to answer part a. Then solve your equation for the independent variable in terms of the dependent variable. In this new form, the coefficient on the former dependent variable will be the answer to part b. (Once you convert it from hours to minutes, that is) John My calculator said it, I believe it, that settles it

Probability-and-statistics/596859: If you are dealt three cards from a shuffled deck of 52 cards, what is the probability that all three cards are face cards. 1 solutions Answer 377914 by solver91311(16897)   on 2012-04-09 17:57:26 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by Then, since there are 13 cards in each suit, only three of which are face cards: =BINOMDIST(3,3,3/13,FALSE) if entered into an Excel (Windows) or Numbers (Mac) spreadsheet will give the answer directly. But you can also use the following facts to simplify the arithmetic: for all positive integers and for all real numbers John My calculator said it, I believe it, that settles it

Trigonometry-basics/596831: solve for all principal values of x. I am not sure where nor how to proceed with problem. Am I supposed to use a Pythagorean identity, and if so, where do I go from there. Any help you can give me would be so greatly appreciated. I am struggling through my precalculus book, and I did not do well in Trig or Geometry and passes Algebra I and II with a mid C. Please help me understand this problem. 1 solutions Answer 377910 by solver91311(16897)   on 2012-04-09 17:45:43 (Show Source): You can put this solution on YOUR website! First of all, I fixed your equation. means the cosine of the angle , whereas is the squared value of the cosine function at . Very different things and they didn't give you in a Precalculus book. The easiest way to see what is going on in this equation is to use a simple substitution. Let and substitute. Factor the quadratic in Apply the Zero Product Rule: or Now recall the RANGE of the cosine function, i.e. . That means that is an extraneous root and can be discarded. Hence, substituting back The principal values of the argument for cosine are in the interval Find the two angles in the unit circle where the -coordinate is equal to and select the one that is in the principal value interval. John My calculator said it, I believe it, that settles it

Quadratic_Equations/596811: solve the equation by the square root. if the equation has no-real number solution, write no solution 1. 6(x^2-2)=12 2. -5m^2=-125 3. 3r^2+27=0 4. 4=9k^2 5.4n^2=64 1 solutions Answer 377898 by solver91311(16897)   on 2012-04-09 17:12:31 (Show Source): You can put this solution on YOUR website! 1. Multiply both sides by Add -2 to both sides: Factor the difference of two squares: Use the Zero Product Rule: or John My calculator said it, I believe it, that settles it

Exponential-and-logarithmic-functions/596808: How do you solve the following equation: 3logbase(2)X+1=7 1 solutions Answer 377896 by solver91311(16897)   on 2012-04-09 16:57:55 (Show Source): You can put this solution on YOUR website! There are two ways to interpret the problem as you rendered it. You either meant: the solution to which would make a fiend from the seventh circle of Hell look attractive, or you meant: the solution to which is nice, neat, and only involves integers. I'm going for the simple way since, at this point, I have 51% of the vote. Add -1 to both sides: Multiply both sides by Use the definition of the logarithm function to write: John My calculator said it, I believe it, that settles it

Travel_Word_Problems/596772: An aircraft flew 7 hours with the wind. The return trip took 8 hours against the wind. If the speed of the plane in still air is 336 miles per hour more than the speed of the wind, fond the wind speed and the speed of the plane in still air. 1 solutions Answer 377878 by solver91311(16897)   on 2012-04-09 16:01:25 (Show Source): You can put this solution on YOUR website! Let represent the speed of the plane in still air. Let represent the wind speed. We are given that mph, but is also the ground speed against the wind, at which speed the aircraft required 8 hours to fly the distance. Hence the distance flown is miles. From that we calculate the time for the downwind trip: mph. But the ground speed downwind is given by , hence: Solve the system for and John My calculator said it, I believe it, that settles it

Functions/596799: 1)The equation defines a one-to-one function f. Determine f -1 and verify that f f -1 and f -1 f are the identity function. y=9x-9 f-1= f *f -1 = f -1 *f = 2)Let f(x) = x2 − 8 and g(x) = 2x − 2. Find the value, if possible. (If not possible, enter IMPOSSIBLE.) (f − g)(-5) = 3)The function f defined by the given equation is one-to-one on the given domain. Find f -1(x). 4)Let f(x) = √x + 7 and g(x) = x2 − 7. Determine the domain of the composite function and then find the composite function. (f * g)(x)= 5)Let f(x) = 2x − 7 and g(x) = 7x − 2. Find the value. (g * f)(-2) = 1 solutions Answer 377875 by solver91311(16897)   on 2012-04-09 15:49:30 (Show Source): You can put this solution on YOUR website! Your first lesson is in reading. Go back and read the instructions for posting on this site. Pay particular attention to the instruction that quite clearly says "One question per post." When you are done, re-post. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/596788: Find all the numbers for which the rational expression is undefined. 4/6w+5 1 solutions Answer 377873 by solver91311(16897)   on 2012-04-09 15:37:45 (Show Source): You can put this solution on YOUR website! The domain of a rational function is the set of all real numbers for which the function is defined. A rational function is UNdefined wherever the denominator is equal to zero. Set the denominator equal to zero and solve. The domain is the set of all real numbers excluding those values that make the denominator zero. John My calculator said it, I believe it, that settles it

Permutations/596789: In a 20-card playing deck with only 10s, jacks, kings, queens, and aces, what is the probability that a person is dealt a hand of five caeds that are all diamonds? 1 solutions Answer 377872 by solver91311(16897)   on 2012-04-09 15:34:11 (Show Source): You can put this solution on YOUR website! There are ways to deal a 5 card hand from a 20 card deck, presuming 20 uniquely different cards in the deck. Only one of these ways is a hand with all diamonds. John My calculator said it, I believe it, that settles it

Sequences-and-series/596795: finish the sequence 0,1,5,14,30, _ ,_,_ 1 solutions Answer 377870 by solver91311(16897)   on 2012-04-09 15:29:00 (Show Source): You can put this solution on YOUR website! and so on. John My calculator said it, I believe it, that settles it

Subset/596790: How can you measure 13 minutes exactly with a 5-minute, 7-minute, and 11-minute hourglass? Show or explain how you got your answer. 1 solutions Answer 377869 by solver91311(16897)   on 2012-04-09 15:25:27 (Show Source): You can put this solution on YOUR website! Start both the 5 and 7 minute timers. When the 5 minute timer runs out, start timing the 13 minute interval. 2 minutes later when the 7 minute timer runs out, start the 11 minute timer. When the 11 minute timer runs out, you will have timed 2 minutes plus 11 minutes = 13 minutes. John My calculator said it, I believe it, that settles it

Surface-area/596792: what is the surface area of a pumpkin with a 4in radius? 1 solutions Answer 377868 by solver91311(16897)   on 2012-04-09 15:21:29 (Show Source): You can put this solution on YOUR website! Impossible to tell. Pumpkins are irregularly shaped objects. A sphere with radius has a surface area given by: The expression describing the surface area of a pumpkin would undoubtedly involve pumpkin . Whipped cream anyone? John My calculator said it, I believe it, that settles it

absolute-value/596791: What's the absolute value of 86? Thanks, ****** 1 solutions Answer 377866 by solver91311(16897)   on 2012-04-09 15:13:05 (Show Source): You can put this solution on YOUR website! If then John My calculator said it, I believe it, that settles it

Probability-and-statistics/596785: Historically, 9 percent of a mail-order firm's repeat charge-account customers have an incorrect current address in the firm's computer database. a. What is the probability that none of the next 16 repeat customers who call will have an incorrect address? b. What is the probability that five customer who call will have an incorrect address? c. What is the probability that six customers who call will have an incorrect address? d. What is the probability that fewer than seven customers who call will have an incorrect address? All answers should be rounded to four decimal places. 1 solutions Answer 377865 by solver91311(16897)   on 2012-04-09 15:10:53 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by a. so because and b. Presuming you mean exactly 5 out of 16: so c. Again presuming 6 out of 16: so d. Again presuming less than 7 out of 16: so Hint: You have already done three terms of this seven-term sum, namely i = 0 (part a), i = 5 (part b), and i = 6 (part c). You have a LOT of arithmetic to do. Better get busy. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/596782: A car travels 3.5 miles per minute how many kilometers does it travel per hour? 1 solutions Answer 377862 by solver91311(16897)   on 2012-04-09 14:46:40 (Show Source): You can put this solution on YOUR website! Do the arithmetic and cancel units. John My calculator said it, I believe it, that settles it

Functions/596778: the domain of 2 square root of x is? 1 solutions Answer 377860 by solver91311(16897)   on 2012-04-09 14:40:37 (Show Source): You can put this solution on YOUR website! The domain of any function is the set of real numbers for which the function is defined. So figure out which numbers would make undefined, then the domain is all the rest of the real numbers. John My calculator said it, I believe it, that settles it

Permutations/596765: a)how many student must be in class to guarantee that at least three were born in the same month b) given any set of four integers, must there be two that have the same remainder when divided by 3 ? why? 1 solutions Answer 377859 by solver91311(16897)   on 2012-04-09 14:38:17 (Show Source): You can put this solution on YOUR website! The way to go about this question is to figure out the most students you could have and still be possible that only 2 are born in any given month. Quite obviously this is 24 students, with two born in each of the 12 months. Now add 1 to make 25 and it is impossible for there not to be at least one month with three students born in that month. John My calculator said it, I believe it, that settles it

Triangles/596752: the problem is if the longest side of a right triangle is 7 more then the second longest side with a total perimeter of 30, what is the length of the shortest side? 1 solutions Answer 377858 by solver91311(16897)   on 2012-04-09 14:28:02 (Show Source): You can put this solution on YOUR website! Let the measure of the second longest side be represented by . The the measure of the longest side must be represented by . Since the perimeter is the sum of the measures of all three sides, the short side must measure Use Pythagoras: Solve for . Then calculate John My calculator said it, I believe it, that settles it

Travel_Word_Problems/596745: John started walking East at 10:00 AM at a rate of 2 km/hr. James stated walking South at 10:30 AM at a rate of 4km/hr. What time is it when they are 5 km apart? D (x) = Rate x time Tried formula below, but stuck on time part???? a2 + b2 = c2 so 4x2 + 2x2 = 25 x= 1.25 1 solutions Answer 377856 by solver91311(16897)   on 2012-04-09 13:08:40 (Show Source): You can put this solution on YOUR website! At 10:30 when James starts, John will be 30 minutes into his trip. 30 minutes at 2 km/hr is 1 km. One hour later John will be 3 km from the start and James will be 4 km from the start, making a 3-4-5 right triangle at time 11:30. That was the easy way. Now the hard way: In the first 30 minutes John goes 1 km. Every hour after that, he goes 2 km. So counting hours since JAMES starts, John goes km. James is going twice as fast as John, so every hour after James starts he goes km. In order for them to be 5 km apart: Simplifying: Solve for the . Toss out the negative value (you don't care what happened before either of them started the trip, do you?) John My calculator said it, I believe it, that settles it

Quadratic_Equations/596728: V(T) = 48t^(2 ) MIKE HAS A VERTICAL LEAP OF 42IN.WHAT IS HIS HANG TIME? 1 solutions Answer 377854 by solver91311(16897)   on 2012-04-09 13:00:54 (Show Source): You can put this solution on YOUR website! All caps is shouting. It is therefore rude and annoying. Stop doing it. Substitute 42 in place of then solve for John My calculator said it, I believe it, that settles it

Quadratic-relations-and-conic-sections/596035: how to do you solve : xsquared-4x-2y=0 1 solutions Answer 377465 by solver91311(16897)   on 2012-04-06 19:01:48 (Show Source): You can put this solution on YOUR website! You don't. That is a whole set of quadratic equations. The set has infinite elements; one for each possible real value of . Without another relationship defined, you cannot determine which element of the set you are dealing with. You can apply the quadratic formula to get an expression for the solution: Where , , and You will probably want to specify an interval for such that the roots of the equation will have real values. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/596046: Kent drives his Mazda 270 miles in the same time Dave drives his Honda 250 miles. If Kent averages 4 miles per hour faster than Dave, find their speeds. Thank you, Trudy 1 solutions Answer 377463 by solver91311(16897)   on 2012-04-06 18:49:14 (Show Source): You can put this solution on YOUR website! Distance equals rate times time, therefore time equals distance divided by rate. Let represent the slower guy's rate then must be the faster guy's rate. The time's are equal, so let represent the time. Slow guy's trip: Fast guy's trip: Since we can say: Solve for , then compute John My calculator said it, I believe it, that settles it

Exponents/596038: what is the slope of (1,4) and (-1,-2) 1 solutions Answer 377454 by solver91311(16897)   on 2012-04-06 17:49:27 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points John My calculator said it, I believe it, that settles it

Travel_Word_Problems/596009: A train 1000 metres long travels through a 3000 metre tunnel. Thirty seconds pass from the time the last car has just completely entered the tunnel until the time when the front of the engine emerges from the other end. Determine the speed of the train, in kilometres per hour. 1 solutions Answer 377436 by solver91311(16897)   on 2012-04-06 16:29:19 (Show Source): You can put this solution on YOUR website! When the 1 km long train is completely inside of the 3 km long tunnel, i.e., the last car has just entered the tunnel, then the train must travel another 2 km in 30 seconds. Do the arithmetic. John My calculator said it, I believe it, that settles it

Linear-systems/596010: I Factored these questions and here are my answers 1)15^3-60x 15x(x^2-4) 2)5x^3-2x^2+5x-2 x^2(5x-2) (5x-2) (x^2+1)(5x-2) 3)3x^2+x-2 ac=3(-2)=-6 b=1 3x^2+3x-2x-2 3x(x+1)-2(x+1) (3x-2)(x+1) Simplify a)(x+y)(x^2-5y^4) answer:(x^3-xy^4)+(x^2 -5y^5) 4)write the set {...,-3,-1,1,3,5,7,...}using set builder notation. 1 solutions Answer 377430 by solver91311(16897)   on 2012-04-06 15:53:53 (Show Source): You can put this solution on YOUR website! All of your factoring problems have correct answers. The simplify problem is wrong. You are multiplying two binomials, so use the FOIL process. Start over and do each multiplication carefully. The set is just the set of all odd integers. John My calculator said it, I believe it, that settles it

Parallelograms/596000: Is this statememt true or false? "A parallelogram may have line symmetry but not rotational symmetry" EXPLAIN. 1 solutions Answer 377418 by solver91311(16897)   on 2012-04-06 14:51:58 (Show Source): You can put this solution on YOUR website! FALSE. Parallelograms have 2-fold rotational symmetry. John My calculator said it, I believe it, that settles it