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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): You can put this solution on YOUR website!

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 -1/7 1 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 You 1 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)- 1/3 1 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=0 1 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 out 1 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.

Probability-and-statistics/149445: A fair coin is tossed 5 times. What is the probability of obtaining exactly 3 heads. Pick from the following 1 solutions Answer 109721 by Fombitz(13828)   on 2008-07-24 10:09:46 (Show Source): You can put this solution on YOUR website! The answer is 10/32=5/16. Here's how. At each step the choice is either heads or tails. First toss, H or T. Second toss, HH HT TH TT (example:first toss was H, second could be H or T and so on) . . . . continue this way until you make a table with all possible values beginning with HHHHH and ending with TTTTT. H H H H H H H H H T H H H T H H H H T T H H T H H H H T H T H H T T H H H T T T H T H H H H T H H T H T H T H H T H T T H T T H H H T T H T H T T T H H T T T T T H H H H T H H H T T H H T H T H H T T T H T H H T H T H T T H T T H T H T T T T T H H H T T H H T T T H T H T T H T T T T T H H T T T H T T T T T H T T T T T T T T T T T T T T T T T T T T You will have 32 possible outcomes . 5 heads - 4 heads - 3 heads - 2 heads - 1 head - 0 heads - These are also numbers in the 6th row of Pascal's triangle of binomial coefficients.

Rational-functions/149557: Simplify by rationalizing the denominator. 1 over the Square root of 3. 1 solutions Answer 109720 by Fombitz(13828)   on 2008-07-24 09:37:18 (Show Source): You can put this solution on YOUR website!

Trigonometry-basics/149545: Please Help solve this problem! In 3r=sinA, r and A represent polar coordinates, write each polar equation as an equation in rectangular coordinates (x,y). Thank you, Natalie 1 solutions Answer 109719 by Fombitz(13828)   on 2008-07-24 09:36:01 (Show Source): You can put this solution on YOUR website! Remember that Let's start, Multiply both sides by r. Substitute. Collect terms on one side.

Polynomials-and-rational-expressions/149449: If someone can please help me with these problems.I have answered them and want to know if my answers are correct if not how can I successfully answer these questions right...... 1)s/6-2/9=0 The answer I came up with is 1/3 is this correct? 2)Solve -43 less than 20 -9v less than or greater to -7 The answer I came up with is (1,7]is this correct? 3)Complete the ordered pair so that it satifies the given equation. 2x-5y=-12:(-1, ) the answer I came up with is (-1,4) is this correct? 4)Find the x and y intercepts of 7x-2y=-5 5)Find the slope of the line that contains the points (-4,-2) and (1,1) 1 solutions Answer 109638 by Fombitz(13828)   on 2008-07-23 17:03:42 (Show Source): You can put this solution on YOUR website! 1. 2. Don't understand this one, "less than or greater to"? It has to be one of the following: Less than Less than or equal Equal to Greater than Greater than or equal to 3. (1,-2) 4. Find the x and y intercepts of 7x-2y=-5 Y intercept. Set x=0. Solve for y. Y intercept:(0,2.5) . . . X intercept. Set y=0. Solve for x. X intercept:(-.71,0) . . . 5. The slope of a line is given by the formula, (-4,-2) and (1,1)

Quadratic_Equations/149428: Find three consecutive positive even intergers such that the product of the first and third is 60 1 solutions Answer 109636 by Fombitz(13828)   on 2008-07-23 16:47:15 (Show Source): You can put this solution on YOUR website! Name three consecutive positive even integers, A, B, and C. 2N makes the integer even Next even integer after 2N Next even integer after 2N+2 This makes the integers positive The product of first and third integer. N+5=0 N=-5, not allowed since N>0, from above. . . . N-3=0 N=3 The three integers are then 6, 8, and 10.

Sequences-and-series/149448: to find the first 3 terms of the Recursively defined sequence: a1=5 , an=2a n-1 for the answer I got 5,10,20... is this correct? 1 solutions Answer 109632 by Fombitz(13828)   on 2008-07-23 16:36:43 (Show Source): You can put this solution on YOUR website! Yes, you are correct.

Expressions-with-variables/149446: need help for solving this expression please. In the book it talking about using the distributive law twice and im not really getting it at all. Here's the problem. (x-3)(x+2) Any help is greatly appreciated. Thank you. 1 solutions Answer 109631 by Fombitz(13828)   on 2008-07-23 16:34:32 (Show Source): You can put this solution on YOUR website! Let a=(x-3). Using the distributive property on the right hand side, this becomes, Now substitute for a, Use the distributive property again on the right hand side, This is the FOIL Method, in disguise. FOIL stands for First, Outer, Inner, Last. First = Outer = First = Last =

Exponential-and-logarithmic-functions/149444: Please help me figure this out - step-by-step. 4y^-1/2 = 16 Thanks. 1 solutions Answer 109629 by Fombitz(13828)   on 2008-07-23 16:26:51 (Show Source): You can put this solution on YOUR website! Divide both sides by 4. Simplify. Use the identity Also, use to simplify. Multiply both sides by Divide both sides by 4. Square both sides.

Functions/149309: Hi I really need some help in solving this..this is new to me.Any help will be gladly be appreciated. how do you solve f(x)= Xcube minus 4x squared plus 7x minus 2 f(x) = (4x - 7) to the power of 20 1 solutions Answer 109584 by Fombitz(13828)   on 2008-07-23 11:16:03 (Show Source): You can put this solution on YOUR website! By solve, I assume you mean find the zeros where f(x)=0. Typically the easiest way is to graph and look for the function crossing the x axis. Looks like it crosses once at about x=1/3. Since there are three roots for a cubic equation, the other two roots are complex. Using Excel to window down the real solution gives x=0.349370808. That gives a value of f(x)=-2.6e-9. That's pretty close to zero. The other two roots are complex. There is an explanation of how to find zeros for a cubic equation at http://www.1728.com/cubic.htm. . . . . . The other function is simpler. This equals zero when There are 20 roots at x=7/4.

Equations/149312: In two dimensions, the determinant of an ordered group of numbers a, b, c, and d is defined as: ad - bc. Compute the determinant when a, b, c, and d equal 3, -2, 9 and 4 respectively. 1 solutions Answer 109583 by Fombitz(13828)   on 2008-07-23 10:56:50 (Show Source): You can put this solution on YOUR website!

Rational-functions/149337: This question is from textbook Caluculus of Single Variable Sketch the graph of f(x)= (x^2-4)/(x-2); where X is not = to 2 1 solutions Answer 109581 by Fombitz(13828)   on 2008-07-23 10:53:03 (Show Source): You can put this solution on YOUR website! The circle at x=-2 signifies that no value for f(x) is given there. . . . . Algebraically, what's going on is, So when you do the division, The graph looks like the line, , except at where it is undefined, because of division by zero.

Triangles/149359: if a rectangle of permeter 46 inches and has a width of 8 calculate the area. 1 solutions Answer 109580 by Fombitz(13828)   on 2008-07-23 10:46:06 (Show Source): You can put this solution on YOUR website! The perimeter of a rectangle is given by the formula, You also know that, From the perimeter formula, The area for a rectanlge is given by the formula, The area of the rectangle is 120 sq. inches.