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 Polynomials-and-rational-expressions/149665: This question is from textbook Can any help me with this problem? I am supposed to use synthetic division to find the quotient and the remainder. (x^5+32) divided by (x+2) Thank you!1 solutions Answer 109831 by Fombitz(13828)   on 2008-07-25 10:14:20 (Show Source): You can put this solution on YOUR website!OK, bear with me because the software's a little cumbersome to show synthetic division. Hopefully it's clear and straightforward. First I'll show the multiplication of the term with the divisor. Then the subtraction of the equation and the multiplication term. Then carry that sum down to the next multiplication. Let's start with as the first term of the quotient, Next term is , Next term is , Next term is , Final term of the quotient is , The remainder is 0. The quotient is
 Trigonometry-basics/149651: Find the exact value of cot (-pie/6)1 solutions Answer 109830 by Fombitz(13828)   on 2008-07-25 09:28:11 (Show Source):
 Length-and-distance/149652: please help me! i dont know how to do this... find coordinates of for the centroid whose triangle verticies are (a,p) (b,q) and (c,r). then find the centroid for (-1,5) (-2,8) and (3,3)1 solutions Answer 109829 by Fombitz(13828)   on 2008-07-25 09:22:20 (Show Source): You can put this solution on YOUR website!The centroid of a triangle with vertices at (,),(,),(,) is equal to (,)=(,) In the first case, (,)=(,) In the second case, (,)=(,) (,)=(,) (,)=(,)
 Vectors/149681: 1. Find the magnitude of the following vector: v = -2i - 4j. 2. Find the unit vector that has the same direction as the vector below: v = 4j 3. In what quadrant is the terminal point of the vector below located? v = 5i - 3j 4.The vector, v, is multiplied by a scalar as shown below. v = -i + j -3(v) 1 solutions Answer 109828 by Fombitz(13828)   on 2008-07-25 09:07:29 (Show Source): You can put this solution on YOUR website!1. 2. 3. (5,-3) Starting at the origin, that 5 right, 3 down. 4th Quadrant. 4.
 Numbers_Word_Problems/149570: Find three consecutive integers where the sum of the first two equals the square of the third minus 146.1 solutions Answer 109790 by Fombitz(13828)   on 2008-07-24 17:03:16 (Show Source): You can put this solution on YOUR website!We'll define three consecutive integers A,B,C Now add the conditions, Substitute for values and solve for N. You can factor this quadratic equation, First factor solution: A=-13 B=-12 C=-11 . . . Second factor solution: A=11 B=12 C=13
 Miscellaneous_Word_Problems/149607: a collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of \$17.75. There are three times as many quarters as dimes. find the number of each kind of coin.1 solutions Answer 109789 by Fombitz(13828)   on 2008-07-24 16:53:36 (Show Source): You can put this solution on YOUR website!D-dimes Q-quarters H-half dollars 1. Total count of coins. 2. Total value of coins. 3. Three times dimes equals quarters. Use eq. 3 to substitute for Q in eq. 1 and 2. 1. We'll call that equation 1a. 1a. . . . . 2. First multiply by 100 to get rid of decimals. We'll call that equation 2a. 2a. Use eq. 1a to come up with an expression for H as a function of D. 1a. Now substitute into eq. 2a, 2a. From eq. 3, From 1a, There are 15 dimes, 45 quarters, and 10 half dollars.
 Equations/149579: In order to achieve maximum results from aerobic exercise, one should maintain ones heart rate at a certain level A 25 year old woman with a resting heart rate of 70 beats per minute while exercising She checks her pulse for 10 seconds while exercising. What should the number of beats be? The number of beats in 10 seconds should be between ____ and ____ Beats.1 solutions Answer 109785 by Fombitz(13828)   on 2008-07-24 16:44:46 (Show Source): You can put this solution on YOUR website!70 beats for 1 minute is the same as x beats for 10 seconds. You need to make sure you use the same time units (seconds and seconds or minutes and minutes). 70 beats for 60 seconds is the same as x beats for 10 seconds. Mathematically, that is, Use the integer values around the exact answer. The number of beats in 10 seconds should be between 11 and 12 Beats.
 Graphs/149585: find the equation of the line having the given slope and containing the given points. m = 3over4, (2,-4)1 solutions Answer 109782 by Fombitz(13828)   on 2008-07-24 16:40:06 (Show Source): You can put this solution on YOUR website!Use the point-slope form of a line,
 test/149589: Simplify the expression -42p divided by -1/71 solutions Answer 109781 by Fombitz(13828)   on 2008-07-24 16:35:33 (Show Source): You can put this solution on YOUR website!Remember, dividing by a fraction is the same as multiplying by its reciprocal.
 test/149595: A bag contains two white marbles and one yellow marble. The marbles are randomly selected one at a time. What are the odds of picking the yellow marble on the first selection?1 solutions Answer 109778 by Fombitz(13828)   on 2008-07-24 16:33:31 (Show Source): You can put this solution on YOUR website!Total marbles - 3 Total white marbles - 2 Total yellow marbles - 1
 Problems-with-consecutive-odd-even-integers/149640: Concert tickets cost \$2.00/child and \$5.00/adult. A group of thirty people consisting of children and adults paid a total of \$87.00 for the concert. How many adults were in the group? 1 solutions Answer 109777 by Fombitz(13828)   on 2008-07-24 16:31:21 (Show Source): You can put this solution on YOUR website!C-Child A-Adult 1.Total tickets sold. 2. Total tickets cost. Use eq. 1 to solve for A as a function of C. 1. Substitute this expression for A in eq. 2, 2. Solve for C. Use eq. 1 to solve for A. 9 adult and 21 children tickets were sold.
 Percentage-and-ratio-word-problems/149633: the vote count for candidate A was 7,310.The vote for candidate B was 14,190.What percent of the voters voted for candidate A?1 solutions Answer 109776 by Fombitz(13828)   on 2008-07-24 16:27:38 (Show Source): You can put this solution on YOUR website!T=Total number of voters A=Total number of voters for candidate A 34% of the voters chose candidate A.
 Polygons/149616: What is the name of the polygon whose interior angles have a sum of 540 degrees? Thanks, Amanda 1 solutions Answer 109775 by Fombitz(13828)   on 2008-07-24 16:24:24 (Show Source): You can put this solution on YOUR website!The formula for the sum of interior angles for an n-sided polygon is In your case, A five sided polygon is a pentagon.
 logarithm/149622: Could I please get assistance with the following problem: Find the determinant of: -4 0 1 3 the numbers are enclosed with vertical lines. Thank You1 solutions Answer 109774 by Fombitz(13828)   on 2008-07-24 16:21:49 (Show Source): You can put this solution on YOUR website!Like this you mean? For a 2x2 general matrix like the following, The determinant is given by In your case,
 Exponents-negative-and-fractional/149577: (1/4)DIVIDED BY (3/2)- 1/31 solutions Answer 109729 by Fombitz(13828)   on 2008-07-24 11:17:51 (Show Source): You can put this solution on YOUR website!Division by fraction is equivalent to multiplication by the reciprocal of the fraction. Common denominator is 12.
 Linear_Equations_And_Systems_Word_Problems/149572: Audrey has 28 dimes and quarters in her piggy bank with a total value of \$4.75. How many of the coins are dimes and how many are quarters?1 solutions Answer 109728 by Fombitz(13828)   on 2008-07-24 11:05:59 (Show Source): You can put this solution on YOUR website!Let's call dimes, D, and quarters, Q. 1. Total number of coins. 2. Total value of coins. Let's multiply equation 2 by 100 to get rid of decimals. 1. 2. Use eq. 1 to solve for D and a function of Q. 1. Now substitute this expression for D in eq. 2, 2. Solve for Q. Use eq.1 to solve for D. Audrey has 15 dimes and 13 quarters.
 Trigonometry-basics/149437: Solve for roots 3sin^2x-8sinx-3=01 solutions Answer 109727 by Fombitz(13828)   on 2008-07-24 10:53:06 (Show Source): You can put this solution on YOUR website! Let's substitute Quadratic equation in u. Factor the quadratic equation. First factor: 2 solutions for this equation. x=340.53 degrees and x=199.47 degrees Second factor: sin(x) is never greater than 1, so there are no additional solutions. Below is the graph of the function. Note : x axis is measured in radians. 360 degrees = 6.28 radians 340.53 degrees = 5.94 radians 199.47 degrees = 3.48 radians
 Percentage-and-ratio-word-problems/149566: The patel manufacturing company allows for a defect rate of 0.9% on its production line.The defect average for last week was 3 times out of 1,500.What is the difference between the allowed defect rate and the average for last week?1 solutions Answer 109726 by Fombitz(13828)   on 2008-07-24 10:20:59 (Show Source): You can put this solution on YOUR website! In terms of percentage that would be, or 0.2%. The difference is or 0.7% better than average.
 expressions/149561: 6(t+3) + 8 - 5(t + 2)= can you tell me the steps to figure this out1 solutions Answer 109724 by Fombitz(13828)   on 2008-07-24 10:18:02 (Show Source): You can put this solution on YOUR website! First step, distribute 6 and 5 into parentheses. Simplify. Group similar terms (t terms and constants). Simplify.