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# Recent problems solved by 'Fombitz'

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 Probability-and-statistics/305427: The letters G E O M E T R Y are written on a set of cards. You mix the cards thoroughly.Without looking, you draw one letter, replace it, then draw another. Find each probability.1 solutions Answer 218662 by Fombitz(13828)   on 2010-05-17 13:31:53 (Show Source): You can put this solution on YOUR website!There are 8 cards total, 2 E's, the others only have 1 card. P(E)=2/8=1/4 P(G)=P(O)=P(M)=P(T)=P(R)=P(Y)=1/8
 test/305448: The sum of two numbers is 58. One number is 17 more than the other. Find the larger number.1 solutions Answer 218660 by Fombitz(13828)   on 2010-05-17 13:30:10 (Show Source): You can put this solution on YOUR website!Let your first number be A. Let the other number be B. Substitute for B in the first equation and solve, Your first number is 41/2 and the second is 75/2.
 Equations/305411: Please solve. V=(1/2)(s^2)(h)1 solutions Answer 218658 by Fombitz(13828)   on 2010-05-17 13:27:34 (Show Source): You can put this solution on YOUR website!Solve for what? h? s?
 Matrices-and-determiminant/305450: For what value(s) of k is x1 - x2 = 3k -2x1 + 3x2 = k - 2 consistent?1 solutions Answer 218657 by Fombitz(13828)   on 2010-05-17 13:26:22 (Show Source): You can put this solution on YOUR website![A]= [x]= [b]= [A][x]=[b] . . . [A]inv= . . . [x]=[A]inv[b]= [x]= . . . The system is consistent for all values of k.
 Matrices-and-determiminant/305444: For what value(s) of k is x1 - x2 = 3k -2x1 + 3x2 = k - 2 consistent?1 solutions Answer 218656 by Fombitz(13828)   on 2010-05-17 13:25:42 (Show Source): You can put this solution on YOUR website![A]= [x]= [b]= [A][x]=[b] . . . [A]inv= . . . [x]=[A]inv[b]= [x]= . . . The system is consistent for all values of k.
 Matrices-and-determiminant/305379: b-1/b-2=(b-2)/(b+2) + (1)/(b-2)1 solutions Answer 218654 by Fombitz(13828)   on 2010-05-17 13:03:11 (Show Source): You can put this solution on YOUR website! No solution.
 Graphs/305383: 2x + 4y = 28 x - 2y = 101 solutions Answer 218653 by Fombitz(13828)   on 2010-05-17 12:56:44 (Show Source): You can put this solution on YOUR website!1. 2. Multiply eq. 2 by 2 and add to eq.1, Then use either equation to solve for y.
 Equations/305393: Please help me solve this equation: 1 solutions Answer 218645 by Fombitz(13828)   on 2010-05-17 11:06:41 (Show Source): You can put this solution on YOUR website! Multiply both sides by 8.
 Rational-functions/305388: X^2 + 3x +2/ -3x -x^2 -2 i need to simplify this rational expression 1 solutions Answer 218644 by Fombitz(13828)   on 2010-05-17 11:05:20 (Show Source): You can put this solution on YOUR website!Here's a hint,
 Inequalities/305293: Please help me solve this equation: 2a+7/a^2-2a-15 - 3a-4/a^2-7a+101 solutions Answer 218642 by Fombitz(13828)   on 2010-05-17 11:02:35 (Show Source): You can put this solution on YOUR website!It's not an equation because there's no "=". It's an expression and all you can do is simplify it. Factor the denominators, if possible.
 Quadratic_Equations/305291: Which one of the following is not equivalent to the others? a. (root:3:(x))^(4) b. root:4:(x^(3)) c. root:3:(x^(4)) d. x^(4/3) e. (x^(1/3))^(4)1 solutions Answer 218641 by Fombitz(13828)   on 2010-05-17 10:56:18 (Show Source): You can put this solution on YOUR website!b) All others are equivalent to
 Quadratic_Equations/305290: don't understand how to solve for x: (x-b)2 = 4b2 book says 3b, -b don't know how to get to that answer1 solutions Answer 218640 by Fombitz(13828)   on 2010-05-17 10:55:04 (Show Source): You can put this solution on YOUR website! Take the square root of both sides, and
 Trigonometry-basics/305370: What is the remeinder of (x^2-2x-4)/(x+1)1 solutions Answer 218639 by Fombitz(13828)   on 2010-05-17 10:52:52 (Show Source): You can put this solution on YOUR website!First multiplier is x. Second multiplier is -3. So then,
 Average/305287: Anas teacher has asked her too add acid to 8 gallons of a 32% acid in water solution to get a solution which is 69 and 7/9 ( sixty nine and seventh ninths percent) acid. How much pure acid should she add 1 solutions Answer 218638 by Fombitz(13828)   on 2010-05-17 10:49:03 (Show Source): You can put this solution on YOUR website!Let A be the number of gallons of 100% acid that gets added. Write the concentration equation for the mixture, Multiply both side by 9. Add 10 gallons of 100% acid.
 Matrices-and-determiminant/305288: Hi all, I was hoping someone would explain to me how to write the matrix below (B) in terms of matrix (A). A = (2 0 3) (0 1 0) (1 0 1) B = (-1 0 3) (0 1 0) (1 0 -2) I have solved the product of AB, and I am meant to use this to write B in terms of A. Product AB = (1 0 0) (0 1 0) (0 0 1) Any help would be great. 1 solutions Answer 218637 by Fombitz(13828)   on 2010-05-17 10:41:08 (Show Source): You can put this solution on YOUR website![A][B]=[I] then [B]=[A]inv Since their product is the identity matrix, then [B] is the inverse of [A].
 Graphs/305375: Which point is a solution of the inequality 1/2x-4y<=41 solutions Answer 218636 by Fombitz(13828)   on 2010-05-17 10:37:40 (Show Source): You can put this solution on YOUR website!Any point? Let x=0 and solve for y. (0,1) is one point.
 Graphs/305363: the values for y when y = (x-2)(x-8)1 solutions Answer 218633 by Fombitz(13828)   on 2010-05-17 10:31:17 (Show Source): You can put this solution on YOUR website!It depends on the values of x. . . .
 Inequalities/305321: The inequality x^2 - 2x + 1 ≤ 0 has A) no solutions B) a set of solutions C) 1 solution only D) 2 solutions only E) 3 solutions only 1 solutions Answer 218632 by Fombitz(13828)   on 2010-05-17 10:27:53 (Show Source): You can put this solution on YOUR website! . . . Looks like this curve only touches the x-axis at one point (x=1). C) 1 solution only.
 Rational-functions/305350: Solve: 2x^2+x-1=0 The^2 means squared1 solutions Answer 218631 by Fombitz(13828)   on 2010-05-17 10:26:49 (Show Source): You can put this solution on YOUR website! You can factor this quadratic, Two solutions: . . .
 Inequalities/305344: The compound inequality 15 < t and t 17 may be rewritten as: chooose? A. t 17 B. t > 15 C. 15 < t 17 D. 15 < t 17 1 solutions Answer 218630 by Fombitz(13828)   on 2010-05-17 10:24:58 (Show Source): You can put this solution on YOUR website!You don't have an operator between t and 17 in your question. Can't proceed without it. Please re-post.
 Numbers_Word_Problems/305322: (T x 3^3) + (U x 3^2) + (V x 3) + W = 50 each letter in the equation above represents a digit that is less than or equal to 2 . what four-digit number does TUVW represent ? 1 solutions Answer 218629 by Fombitz(13828)   on 2010-05-17 10:24:00 (Show Source): You can put this solution on YOUR website! T must be less than since . If , then If , then If , 1212 is the solution.
 Probability-and-statistics/305305: Consider the experiment of drawing two cards without replacement from an ordinary deck of 52 playing cards. What are the odds against drawing two spades?1 solutions Answer 218627 by Fombitz(13828)   on 2010-05-17 10:11:44 (Show Source): You can put this solution on YOUR website!The probability of drawing 1 spade is 13/52=1/4. The probability of drawing the second spade (w/o replacement) is 12/51=4/17. The probabilities multiply to give P(2 spades)=(1/4)*(4/17)=1/17. In terms of odds, probability gives favorable outcomes over total outcomes. Odds are given in terms of unfavorable outcomes to favorable outcomes. Total outcomes=17 Favorable outcomes=1 Unfavorable outcomes=16 So the odds are 16 to 1 for drawing two successive spades.
 Exponents/304644: Divide: (10x^3 -34x^2 - 59x -21)/(5x+3) I tried this one but am not sure if I am right. 10x^3 -34x^2 -59x -21/5x +3 -24x^5 -80x/8x = -24x^5-10x 1 solutions Answer 218133 by Fombitz(13828)   on 2010-05-14 16:33:53 (Show Source): You can put this solution on YOUR website!Is your answer If so, then no you're incorrect. The degree of x in the solution should be lower than the degree of the original polynomial you started with like in the example, Use polynomial long division. What do you need to multiply by to get . It would be since . So multiplied by (5x+3) would yield . The next factor would be which yields . Subtracting then gives, . Finally, the next multiplier is and Subtracting, So then putting it all together,
 Polynomials-and-rational-expressions/304646: could you please help me solve I got x=0, x=-3, x=3 for the critical points. I just dont understand how to getr the rest of the answer sicne x=0 for one of the critical points.1 solutions Answer 218129 by Fombitz(13828)   on 2010-05-14 16:20:56 (Show Source): You can put this solution on YOUR website!Break up the number line into four regions. (,) (,) (,) (,) Then for each region pick a point (not the endpoints). Test the inequality. If it solves it, that region is part of the solution. Then move on to the next region. Region 1: (,) Let True, first region is part of the solution. Move on. . . . Region 2: (,) Let False, second region is not part of the solution. . . . Continue to the third and fourth regions to complete the solution. Re-post if you need more help.
 Expressions-with-variables/304645: fifty-one more than a number is -12. what is the number?1 solutions Answer 218127 by Fombitz(13828)   on 2010-05-14 16:14:19 (Show Source):
 Volume/304642: find the volume of a cone with a hemispherical top if the D=12m and the H=4m1 solutions Answer 218126 by Fombitz(13828)   on 2010-05-14 16:13:30 (Show Source): You can put this solution on YOUR website! . . .
 Radicals/304635: Solve by completing the sqaure. Express radical answers as exact roots in simplest radical form and as approximate roots, to the nearest hundreth. x^2+4x+1=0 1 solutions Answer 218125 by Fombitz(13828)   on 2010-05-14 16:08:58 (Show Source): You can put this solution on YOUR website! Take 1/2 of the x coefficient, square it, add it to both sides of the equation. or approximately and
 Graphs/304638: 1.8x-1.3y=4.681 solutions Answer 218123 by Fombitz(13828)   on 2010-05-14 16:05:45 (Show Source):
 Graphs/304631: If the ordered pair (-5/2, y) lies on the graph of y = 7 - 2x, find the value of y? a.2 b.19/2 c.121 solutions Answer 218119 by Fombitz(13828)   on 2010-05-14 15:25:50 (Show Source): You can put this solution on YOUR website!Find the corresponding y value when . . . c) is the correct answer.
 Travel_Word_Problems/304633: a car traveling at 10 m/s starts to decelerate steadily It comes to a complete stop in 20 seconds. What is its acceleration? 1 solutions Answer 218118 by Fombitz(13828)   on 2010-05-14 15:24:15 (Show Source): You can put this solution on YOUR website!=-0.5 m/s^2
 Complex_Numbers/304606: How can i solve this- If y= cosx + i sinx show that dy/dx = i y (remember i is a constant) Thank you.1 solutions Answer 218117 by Fombitz(13828)   on 2010-05-14 15:00:28 (Show Source):