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# Recent problems solved by 'vleith'

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 Matrices-and-determiminant/136142: This question is from textbook College Algebra Use Cramer's Rule to solve the system 6x + 12y=33 4x + 2y=201 solutions Answer 99692 by vleith(2825)   on 2008-04-10 14:51:10 (Show Source): You can put this solution on YOUR website!Cramer's rule states --> see here http://www.okc.cc.ok.us/maustin/Cramers_Rule/Cramer's%20Rule.htm So we need to find the determinant first |6 12| |4 2 | 12-48 = -36 To find x |33 12| |20 2 | 66-240 = -174 x = -174/-36 = 29/6 to find y |6 33| |4 20| 120 - 132 = - 12 y = -12/-36 = 1/3
 absolute-value/136140: [2x-5]=[9x+7] Please help1 solutions Answer 99691 by vleith(2825)   on 2008-04-10 14:34:18 (Show Source): You can put this solution on YOUR website!For problems in one variable, you need to isolate the variable on one side of the equation. Given: First collect the terms containing the variable on one side and the constant terms on the other side. To do this, subtract 2x from both sides and then subtract (-7) from both sides. Think of the equal sign as a 'balance' point. Whatever you do to one side, you have to do to the other in order to remain in balance. Now isolate the variable, by dividing both sides by 7 Now check your answer by substituting for x in the original equation. Does Check!
 Probability-and-statistics/136133: Given P(A),find P (not A) Events A and B are dependent.P(A) = 5/12 and P(B given A) = 6/11. Find (A and B) Thank You for the straightfoward and correct answers you all send me.1 solutions Answer 99690 by vleith(2825)   on 2008-04-10 14:25:39 (Show Source): You can put this solution on YOUR website!If the probability of A occurring is x%, then the probability of "not A" is 100-x%. If the probability of A is 'x out of y', the probability of 'not A', is '(y-x) out of y. The net result is the sum of the two probabilities must be one (or 100%) Bayes Theorem states: P(A and B) = P(B)* P(A|B) = P(A)*P(B|A) You are given P(A) and P(B|A) - you can do the math :-D
 Polynomials-and-rational-expressions/136138: I really would like some help on the rational addition expression...Thank you for all your help!! n - 2 n^2 + 5n + 10 ----- + -------------- n + 4 n + 41 solutions Answer 99688 by vleith(2825)   on 2008-04-10 14:04:01 (Show Source): You can put this solution on YOUR website!Given: Before one can add fractions, they must have a common denominator. In this problem, each fraction has a denominator of . So, the two fractions can be added in their current form Now you can collect like terms factor the numerator where n!= -4
 Conjunction/136137: Can you help me. I need to how to do this logic problem, step by step. Three geniuses stand in a file (one behind the other). Each can see only to the front, so the rear person can see the middle and the front, the middle person can see the front, and the genius in the front cannot see anyone. You have five hats. Two are white, and three are red. You blindfold the three geniuses, who are utterly truthful, and put a hat – at random – on the head of each. Then you hide the other two hats and remove the blindfolds. You then ask each genius to name the color of his hat (which he cannot see). The rear one says "I don't know." The middle on says, "I don't know." Then the front one says, "I know." WHAT COLOR IS THE FRONT GENIUS' HAT?????? 1 solutions Answer 99686 by vleith(2825)   on 2008-04-10 13:55:30 (Show Source): You can put this solution on YOUR website!The back genius doesn't know. How can this be? If both the middle and the first people were red, the back would know his was white. He doesn't know. So the options for the two hats he sees are either : 1 red/1 white, or 2 white. The middle genius doesn't know. He logically decides the first guy saw either 2 whites, or a white and a red. Since he can see the person in front of him, he must be seeing a white hat on the first genius. Because if he saw a red hat on the first genius, he (the second genius) would have to be wearing a white one. And since he is a genius, he would say 'i know'. The first genius uses the logic above to say "I know". And when they ask what color, she will say "white". Make sense?
 logarithm/135505: please help me with this equation: 1 solutions Answer 99464 by vleith(2825)   on 2008-04-07 20:02:45 (Show Source): You can put this solution on YOUR website! x = -4, x = 2
 Quadratic-relations-and-conic-sections/135569: I NEED HELP ON THIS EQUATION COULD YOU HELP ME PLEASE? Transform equation by completing the square and graph. WHAT DO I DO AFTERWARDS?1 solutions Answer 99459 by vleith(2825)   on 2008-04-07 19:57:55 (Show Source): You can put this solution on YOUR website!(4X^2-8X)+(Y^2+6Y)=3 4(X^2-2X+1)+(Y^2+6Y+9)=3+4+9 4(X-1)^2+(Y+3)^2=16 That is i the form of a circle with radius 4, centered at (1,-3)
 Probability-and-statistics/135710: jennifer has 8 blue marbles, 12 orange marbles, & 10 red marbles What is the probability of picking an orange marble. Predict the number of times out of 120 Jennifer will pick an orange marble. Please help to explain so we can show the work.1 solutions Answer 99457 by vleith(2825)   on 2008-04-07 19:52:15 (Show Source): You can put this solution on YOUR website!How many marbles are the in total? = How many are orange? So what are the odds of picking an orange marble?? 12 out of 30 = = If Jen use this same set of marbles over and over again, picking one out, checking the colr and then putting it back. Each time she picked a marble, the odds are 4/10 that it would be an orange one. Use a ratio Check your answer. is 48 = 120*0.4?
 Proportions/135636: Hooke's law The force (f) required to stretch a spring a distance(d) is directly proportional to(d). A force of 5 newtons stretches a spring 0.2 meter.what force will stretch the spring 0.35 meter?1 solutions Answer 99455 by vleith(2825)   on 2008-04-07 19:47:54 (Show Source): You can put this solution on YOUR website!It is a direct relationship. so use a ratio
 Rational-functions/135704: This question is from textbook McDougal Littell Algebra 2 I need help with a homework question,please. It's on solving rational equations. I am suppose to use Least Common Denominatoe to find the solution, so, I'd really appreciate the help! 1 solutions Answer 99450 by vleith(2825)   on 2008-04-07 19:37:53 (Show Source): You can put this solution on YOUR website!Given : now look in the current denominators and see what unique factors are there. We have and the other solitary x is already covered by the . So = 0 Use the quadratic equation to solve. Then check your answers to make sure that the values of x given do not make = 0 too
 logarithm/135673: This question is from textbook A Graphical Approach to COLLEGE ALGEBRA Solve each logaithimis eqaution. Express all ccolutions in exact form. #30. 3logx=2 #36. logs(8-3x)=3 #40. logx+logx^2=3 1 solutions Answer 99448 by vleith(2825)   on 2008-04-07 19:19:22 (Show Source):
 Exponential-and-logarithmic-functions/135680: In a survey in 2000, the population of two plant species were found to be growing exponentially. Their growth is given by these equations: species A, P=2000e^0.05t and species B, P=5000e^0.02t, where t=0 in the year 2000. Based on this information, after how many years will the population of species A be equal to the population of species B in the forest?1 solutions Answer 99445 by vleith(2825)   on 2008-04-07 19:08:15 (Show Source): You can put this solution on YOUR website!Given: t=0 in 2000 When do they equal?? = June in the year 2030 Check your answer. Is ???
 Radicals/135702: This question is from textbook Algebra 1 Simplify the expression: 2 Square root of 10/21 solutions Answer 99443 by vleith(2825)   on 2008-04-07 19:00:44 (Show Source): You can put this solution on YOUR website!given :
 Systems-of-equations/135700: Hello, this is the problem: The sum of two numbers is 4 less than twice the larger. If the larger is decreased by three times the smaller, the result is -20. Thank you 1 solutions Answer 99439 by vleith(2825)   on 2008-04-07 18:55:35 (Show Source): You can put this solution on YOUR website!Let x be the smaller number and y be the larger one. sub for y using the value above Which means y = 16 Check your answer. Is (12+16) = (32-4)??? yes it is!