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# Recent problems solved by 'solver91311'

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 Linear-equations/613071: Find the equation of the line containing the given pair of points (-2, -6) and (-8, -9)1 solutions Answer 385871 by solver91311(16877)   on 2012-05-20 21:18:55 (Show Source): You can put this solution on YOUR website! Use the two-point form of an equation of a line: where and are the coordinates of the given points. However, please note that you cannot write "the" equation of any line. You can only write "an" equation of a line. In the first place, you could just substitute the values in the point-slope or two-point form and have an equation of the desired line, or you could solve for to put it into slope-intercept form, or you could rearrange it into standard form, namely . Furthermore, for a given , , and , where describes a set of equations with an infinite number of elements, each of which graphs to the same line in . John My calculator said it, I believe it, that settles it
 Permutations/613081: The code for a lock consists of 5 digits. The last number cannot be 0 or 1. How many different codes are possible? Six different books will be displayed in the library window. How many different arrangements are there? The three best essays in a contest will receive gold, silver, and bronze stars. There are 10 essays. In how many ways can the prizes be awarded? In a talent show, the top 3 performers of 15 will advance to the next round. In how many ways can this be done? 1 solutions Answer 385870 by solver91311(16877)   on 2012-05-20 21:10:49 (Show Source): You can put this solution on YOUR website! 10 ways to choose the first digit times 10 ways to choose the second digit times 10 ways to choose the third digit times 10 ways to choose the fourth digit times 8 ways to choose the fifth digit. John My calculator said it, I believe it, that settles it
 Radicals/613084: Radical 2 x Radical 10=?1 solutions Answer 385868 by solver91311(16877)   on 2012-05-20 21:07:53 (Show Source): You can put this solution on YOUR website! Use Note that and is a perfect square. John My calculator said it, I believe it, that settles it
 Functions/612578: Determine whether the graphs of the two lines are parallel. y+6=5x 3x-y=-6 Are the graphs of the given equations parallel?1 solutions Answer 385593 by solver91311(16877)   on 2012-05-18 19:00:51 (Show Source): You can put this solution on YOUR website! Determine the slope of the graph of each equation. If the slopes are equal, the lines are parallel. Otherwise, not. John My calculator said it, I believe it, that settles it
 test/612546: Find the mean and standard deviation of a set of grades between 68 and 86. They are within 3 standard deviations of the mean if it is normally distributed.1 solutions Answer 385592 by solver91311(16877)   on 2012-05-18 18:56:28 (Show Source): You can put this solution on YOUR website! Where is your data set? John My calculator said it, I believe it, that settles it
 Volume/612576: A cylinder with a radius of 1.5 centimeters is half full of water. How much will the water level rise if a rock whose volume is 20 cubic centimeters is dropped into the water?1 solutions Answer 385590 by solver91311(16877)   on 2012-05-18 18:55:07 (Show Source): You can put this solution on YOUR website! Substitute your given value of and then solve what is left for John My calculator said it, I believe it, that settles it
 Permutations/612575: what is 8P3? but the numbers should be little on the bottom.1 solutions Answer 385588 by solver91311(16877)   on 2012-05-18 18:52:41 (Show Source): You can put this solution on YOUR website! The number of permutations of 8 things taken 3 at a time. The number of permutations of things taken at a time is given by John My calculator said it, I believe it, that settles it
 Permutations/612577: A student is asked to answer 7 out of 9 questions on an exam,in how many ways can she select the questions to be answered1 solutions Answer 385587 by solver91311(16877)   on 2012-05-18 18:50:27 (Show Source): You can put this solution on YOUR website! You want 9 choose 7: Where is the number of combinations of things taken at a time and is calculated by IF the order in which she answers the questions does not matter. If it does matter, then take out of the denominator. John My calculator said it, I believe it, that settles it
 real-numbers/612574: If A={all numbers between -5.2 and 5.2, inclusive}, B={all primes}, and C={whole numbers}, then: a) the intersection of sets A, B, and C contains how many numbers? b) Graph the solution set THANK YOU! :)1 solutions Answer 385585 by solver91311(16877)   on 2012-05-18 18:47:35 (Show Source): You can put this solution on YOUR website! Note: 1 is NOT prime. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/612570: One number is twice as large as the second. The sum of the two numbers is 366. What is the smaller number?1 solutions Answer 385576 by solver91311(16877)   on 2012-05-18 18:15:12 (Show Source): You can put this solution on YOUR website! Solve for John My calculator said it, I believe it, that settles it
 Volume/612512: A tent has the shape of a triangular prism. The triangular end of the tent has a base that is 8 feet long and a height of 7 feet. The tent is 12 feet long from front to back. What is the volume of the tent? 1 solutions Answer 385575 by solver91311(16877)   on 2012-05-18 18:14:05 (Show Source): You can put this solution on YOUR website! Multiply the area of the triangular end of the tent times the length. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/612552: Let R = {1,2,3} S= {3,4,5}, and U= {1,2,3,4,5,6,7,8} Determine a) R U S b) R inverse of a) C) S'1 solutions Answer 385573 by solver91311(16877)   on 2012-05-18 18:11:52 (Show Source): You can put this solution on YOUR website! a) the set of things that are in R or are in S. b) the set of things that are in U and are not in R U S. c) the set of things in U that are not in S. John My calculator said it, I believe it, that settles it
 Exponents/612562: If I have 31 contacts and all of my contacts have the same amount of contacts as I do, write this total number oof all contacts in all phones (ignoring the fact that some may repeat)as an exponential? Next evaluate the exponential.1 solutions Answer 385572 by solver91311(16877)   on 2012-05-18 18:00:19 (Show Source): You can put this solution on YOUR website! Each of your 31 contacts has 31 contacts. 31 times 31 = John My calculator said it, I believe it, that settles it
 Problems-with-consecutive-odd-even-integers/612559: A train traveled 300 miles. How long did the trip take if the train was traveling at a rate of x, (x + 10)mph, (x-5)mph1 solutions Answer 385571 by solver91311(16877)   on 2012-05-18 17:58:44 (Show Source): You can put this solution on YOUR website! Time equals distance divided by rate. John My calculator said it, I believe it, that settles it
 Average/612567: Jim has grades of 84, 65, and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 80 for the four tests? A. 87 B. 95 C. 85 D. 92 1 solutions Answer 385570 by solver91311(16877)   on 2012-05-18 17:57:30 (Show Source): You can put this solution on YOUR website! If he is to have an average of 80 on 4 tests, then the sum of all 4 tests must equal 4 times 80. John My calculator said it, I believe it, that settles it
 Permutations/612563: Suppose f(x) = x2 + 6x - 91 and g(x) = . At which of these points does the function (fxg)(x) have a hole? 1 solutions Answer 385569 by solver91311(16877)   on 2012-05-18 17:56:11 (Show Source): You can put this solution on YOUR website! That would depend a great deal upon the definition of g(x) which you failed to provide. REPOST and tell the whole story (don't just email back to me because I might not get to it tonight) John My calculator said it, I believe it, that settles it
 Permutations/612566: what is the probability of meeting either a boy or chess player where there are 12 boys in chess, 6 girls in chess, 8 boys not in chess, and 20 girls not in chess?1 solutions Answer 385568 by solver91311(16877)   on 2012-05-18 17:54:41 (Show Source): You can put this solution on YOUR website! There are 20 boys and 26 girls, so there are 46 students altogether. There are 20 boys and 18 chess players, but 12 of the chess players are boys so they have already been counted, hence there are 20 boys plus 8 girl chess players in the set of successful outcomes. Divide the possible successes by the total possible choices. John My calculator said it, I believe it, that settles it
 test/612549: A car sales man has many cars on a lot with the following prices; 18,900 29,900 19,800 20,500 and 21,750. He's trying to show his customers he has the best prices. What measure of tendency would you use? Why.1 solutions Answer 385567 by solver91311(16877)   on 2012-05-18 17:49:56 (Show Source): You can put this solution on YOUR website! 5 different values so there is no mode. Calculate the mean and the median and then pick the smaller one. John My calculator said it, I believe it, that settles it
 test/612547: I need help with algebra all of it , the beginning and end . Please help 1 solutions Answer 385556 by solver91311(16877)   on 2012-05-18 16:12:48 (Show Source): You can put this solution on YOUR website! Sure. I'll work with you. 3 hours per week for 10 weeks. $30/hour. John My calculator said it, I believe it, that settles it  test/612543: What isthe probability of picking 2 aces out of a deck of 52 cards?1 solutions Answer 385555 by solver91311(16877) on 2012-05-18 16:09:56 (Show Source): You can put this solution on YOUR website! Depends. How many draws? If you don't draw at all, or if you only draw 1 card, then the probability is zero. If you draw 2, but put the first one back before you draw the second one, that has one answer, but if you don't replace your card, you have a different result. If you draw 52 times without replacement, then the probability is 1. Tell us the whole problem and then maybe we can help. John My calculator said it, I believe it, that settles it  Travel_Word_Problems/612540: Malcolm rides his bike 1 mile north, then 1 mile east, then 1 mile north, and then 1 mile east. How far is Malcolm from where he started?1 solutions Answer 385552 by solver91311(16877) on 2012-05-18 16:07:00 (Show Source): You can put this solution on YOUR website! After his first two miles he is at the other end of a diagonal of a square with sides that measure 1, therefore he is miles from the start. After the second two miles he is an additional miles from the start, for a total of miles from the start. John My calculator said it, I believe it, that settles it  Exponential-and-logarithmic-functions/612539: Show that log(base p)q = (log(base q) p)^-11 solutions Answer 385551 by solver91311(16877) on 2012-05-18 16:03:05 (Show Source): You can put this solution on YOUR website! Base change formula: Substituting and but So John My calculator said it, I believe it, that settles it  Travel_Word_Problems/612513: Two rockets having the same acceleration start from rest, but rocket A travels for twice as much time as rocket B. If rocket A goes a distance of 310 km, how far will rocket B go? If rocket A reaches a speed of 370 m/s, what speed will rocket B reach?1 solutions Answer 385547 by solver91311(16877) on 2012-05-18 15:52:30 (Show Source): You can put this solution on YOUR website! Manipulating and evaluating formulas for acceleration and straight line motion is an algebra topic. Knowing what formulas to use, and since you didn't supply them, quite obviously the point of this question, makes this a physics problem. Ask about your physics problem on a physics homework help site. John My calculator said it, I believe it, that settles it  Surface-area/612509: A right circular cone has a radius 12 inches and a height of 25 inches. What is the lateral area of the cone? It says the answer is 12 pi to the square root of 769. How is that? 1 solutions Answer 385540 by solver91311(16877) on 2012-05-18 15:22:23 (Show Source): You can put this solution on YOUR website! The Lateral Surface Area of a right circular cone is given by: Where is the radius of the base and is the slant height. But you are given the height which is the measure of the distance from the center of the base to the apex of the cone. You need the slant height which is the measure from a point on the circle that describes the base and the apex. The radius and height form the legs of a right triangle and the slant height is the hypotenuse. Calculate the slant height using Pythagoras. Then plug in to the Lateral Area formula above. John My calculator said it, I believe it, that settles it  Probability-and-statistics/612508: (and or probability) What is the probability of meeting either a boy or chess player where there are 12 boys in chess, 6 girls in chess, 6 girls not in chess, 8 boys not in chess, and 20 girls not in chess?1 solutions Answer 385521 by solver91311(16877) on 2012-05-18 14:09:21 (Show Source): You can put this solution on YOUR website! No way to tell until you decide whether it is "6 girls not in chess" or "20 girls not in chess" or maybe even 26 girls not in chess. John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/612510: I am extremely confused. I thought I understood how to do this but I don't. I am really needing for you to show all work and your answers so that I can better grasp the concepts. The volume in cubic feet of a workshop's storage chest is expressed as the product of its three dimensions- V(x)=x^3-3x^2-x+3. The depth is x+1. 1)Find the linear expressions with integer coefficients for the other dimensions, 2)the depth of the chest is 6 feet what are the other dimensions? Again please show the work along with the answers so that I can better grasp the concepts! Thanks for the help1 solutions Answer 385520 by solver91311(16877) on 2012-05-18 14:07:10 (Show Source): You can put this solution on YOUR website! Use polynomial long division to divide by If you don't recall how to do polynomial long division, review the two pages of information starting at Purple Math Polynomial Long Division Once you have completed the division, you will have a quadratic trinomial quotient. Factor it. The two integer coefficient factors will be the other two dimensions in terms of . You are then given that the depth is 6, so that means . Solve for , then substitute that value back into each of the linear factors you derived above. Send me your answers and I'll let you know whether you did it correctly or not. John My calculator said it, I believe it, that settles it  Percentage-and-ratio-word-problems/612399: What is the interest rate on a 120 Day loan of$1,500.00 at a 9% interest.1 solutions Answer 385519 by solver91311(16877)   on 2012-05-18 13:58:29 (Show Source): You can put this solution on YOUR website! The interest rate on a 9% loan is 9% per annum regardless of the term. The amount of interest paid is dependent on the compounding period, which you chose not to share. John My calculator said it, I believe it, that settles it
 Linear-equations/612470: is 1/2x=0 a linear equation using the linear equation ax+b=0. My thinking is no because it does not a "b" variable.... Am I right with that line of thinking or is it a linear equation ot is it not because of a different reason.1 solutions Answer 385502 by solver91311(16877)   on 2012-05-18 12:47:22 (Show Source): You can put this solution on YOUR website! Of course it has a "b". b just happens to equal zero in this case so they didn't bother writing it in. But it is there nonetheless. Your equation is linear because the variable is raised to the 1 power. Putting in all of the elements that were left out: Note that anything raised to the 1 power is just itself. In the example you gave, the coefficient on doesn't matter, the equation describes the -axis regardless of the value of the coefficient on John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/612469: One number is 10 less than twice another if their difference is 31, what is the larger number?1 solutions Answer 385500 by solver91311(16877)   on 2012-05-18 12:40:47 (Show Source): You can put this solution on YOUR website! Let represent "another" number. Then "One" number is . Then: Solve for But you aren't told in which order to take the difference, so it is also true that: Solve for the other possible value of One way, "another" number is larger, the other way, "One" number is larger. John My calculator said it, I believe it, that settles it
 Circles/612466: Give the sides of a regular polygon: fine the measure of each exterior angle And interio angle for . A) 5 B) 8 C)9 D)91 solutions Answer 385493 by solver91311(16877)   on 2012-05-18 12:18:07 (Show Source): You can put this solution on YOUR website! The measure of the interior angle of a regular -gon is given by: The measure of the exterior angle of a regular -gon is given by: You can do your own arithmetic. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/612465: A certain population of a city increases according to the model P(t) = 250e0.47t with t=0 corresponding to the year 1992, where t is in years. Which of thr following equations expresses the population present in the year 2000? A. P(2000) = 250e0.47(2000) B. P(1992) = 250e0.47(1992) C. P(6) = 250e0.47(6) D. P(8) = 250e0.47(8) Hope somebody can help.1 solutions Answer 385490 by solver91311(16877)   on 2012-05-18 12:14:41 (Show Source): You can put this solution on YOUR website! For the year 1992, since corresponds to the year 1992, your function would be . Then consider that 2000 minus 1992 equals 8. John My calculator said it, I believe it, that settles it