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# Recent problems solved by 'Fombitz'

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 Pythagorean-theorem/347864: A triangle has sides of lengths 3,5 and x . determine all possible values of x so that the triangle is a right angle ?1 solutions Answer 248715 by Fombitz(13828)   on 2010-09-25 07:28:29 (Show Source): You can put this solution on YOUR website!I think you mean right triangle. Use the Pythagorean theorem where x is either a leg or the hypotenuse. Leg: . . . Hypotenuse:
 Evaluation_Word_Problems/347870: as t approaches 0 find the limit of ( (sin^2) (3t) ) / (t^2)1 solutions Answer 248714 by Fombitz(13828)   on 2010-09-25 07:26:08 (Show Source): You can put this solution on YOUR website!Use L'Hopital's rule. . . . f(x)= f1(x)=f'(x)= f2(x)=f''(x)= . . . g(x)= g1(x)=g'(x)= g2(x)=g''(x)= . . .
 Trigonometry-basics/347794: solve the equation tan x = 1 for the given interval of x -pi/21 solutions Answer 248712 by Fombitz(13828)   on 2010-09-25 07:23:57 (Show Source): You can put this solution on YOUR website! when . . . Graphical verification . . .
 Graphs/347829: it says solve by graphing the equation. 3x-4y=24 y=3/2x=3 to find a common point.can u help me step by step please.1 solutions Answer 248711 by Fombitz(13828)   on 2010-09-25 07:20:08 (Show Source): You can put this solution on YOUR website!You have too many equal signs in your second equation. Please correct.
 Probability-and-statistics/347866: 1 solutions Answer 248709 by Fombitz(13828)   on 2010-09-25 07:18:19 (Show Source): You can put this solution on YOUR website!So the bin has good, bad, total. P(1st good)= P(2nd good)= P(3rd good)= P(4th good)= P(5th good)= P(all good)= P(all good)= . . . is the probability of picking the first good one out. But you're doing it 5 times, so you need to multiply that value 5 times.
 Numeric_Fractions/347789: Could you please help solve the following: 1/5(x-3)=3/15(2x-1). I tried it two different ways, but neither result works when I plug the value in for x. Thanks.1 solutions Answer 248680 by Fombitz(13828)   on 2010-09-24 22:14:23 (Show Source): You can put this solution on YOUR website! Multiply both sides by .
 Equations/347766: solve for x: x+4/5+x-1/4=37/101 solutions Answer 248679 by Fombitz(13828)   on 2010-09-24 22:10:26 (Show Source): You can put this solution on YOUR website!Multiply both sides by .
 absolute-value/347758: solve the equation for the indicated variable A=1/2h(B+b) for B1 solutions Answer 248677 by Fombitz(13828)   on 2010-09-24 22:08:31 (Show Source):
 absolute-value/347757: solve the equation 1/3(r+6)=1/6(r+8)1 solutions Answer 248676 by Fombitz(13828)   on 2010-09-24 22:07:11 (Show Source): You can put this solution on YOUR website! Multiply both sides by 6.
 logarithm/347765: How do I solve for X in this equation? log(small 2)(X+4) - log (small 2) (X-2)=31 solutions Answer 248674 by Fombitz(13828)   on 2010-09-24 22:05:53 (Show Source):
 Equations/347771: find all solutions for x: square rt. of x^2+7=41 solutions Answer 248672 by Fombitz(13828)   on 2010-09-24 22:03:13 (Show Source):
 Expressions-with-variables/347787: Solve the following linear equation where y-y sub 1= m (x-x sub 1) for m.... Please help me understand the above problem.1 solutions Answer 248670 by Fombitz(13828)   on 2010-09-24 22:02:09 (Show Source): You can put this solution on YOUR website! Where was the problem?
 Expressions-with-variables/347709: Solve the following literal equation: Solve f= 1/r sub 1 + 1/r sub 2 for r sub 1 I do not understand these subs...Please help explain1 solutions Answer 248636 by Fombitz(13828)   on 2010-09-24 19:31:41 (Show Source): You can put this solution on YOUR website!Don't get hung up on that. where , Multiply both sides by
 Equations/347712: Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. Which of the following statements is correct. A) Sam's answer is correct. B) Sam forgot to multiply. C) Sam squared wrong. 1 solutions Answer 248634 by Fombitz(13828)   on 2010-09-24 19:28:48 (Show Source): You can put this solution on YOUR website!B)
 Expressions-with-variables/347733: 1 solutions Answer 248633 by Fombitz(13828)   on 2010-09-24 19:27:46 (Show Source): You can put this solution on YOUR website!Multiply both sides by , Now solve for .
 Evaluation_Word_Problems/347579: Use the Squeeze Theorem to evaluate the limit as x approaches infinity (sinx)/x 1 solutions Answer 248549 by Fombitz(13828)   on 2010-09-24 16:14:54 (Show Source): You can put this solution on YOUR website! . . . So as So then, because it is squeezed between those two functions.
 Trigonometry-basics/347678: graph 2 periods of the given function y = 3 sec x1 solutions Answer 248546 by Fombitz(13828)   on 2010-09-24 16:10:57 (Show Source):
 Radicals/347687: how do you simplify 15x^2+75x-1260 1 solutions Answer 248529 by Fombitz(13828)   on 2010-09-24 15:22:56 (Show Source): You can put this solution on YOUR website!Divide all terms by 15, since all terms are divisible by 3 and 5.
 Mixture_Word_Problems/347686: This is a homework problem I can't figure out: A party mix is made by adding nuts that sell for \$2.50 per kg to a cereal mixture that sells for \$1.00 per kg. How much of each should be added to get 30 kg of a mix that will sell for \$1.70 per kg?1 solutions Answer 248527 by Fombitz(13828)   on 2010-09-24 15:22:09 (Show Source): You can put this solution on YOUR website!Let be the amount of \$2.50/kg nuts. Let be the amount of \$1.00/kg cereal. . . . Total weight equation: 1. Concentration/Price equation: 2. Subtract eq. 1 from eq. 2, kg Now that you have use either equation to solve for .
 Quadratic_Equations/347685: How do I solve this problem? (x-6)(x+8)=3(x-2)1 solutions Answer 248525 by Fombitz(13828)   on 2010-09-24 15:18:05 (Show Source): You can put this solution on YOUR website!Use the FOIL method to expand the left hand side. Factor, Two solutions: . . . . . . As a check, verify the solutions by plugging them into the original equations.
 Problems-with-consecutive-odd-even-integers/347640: the sum of three consecutive odd integers is 5 less than 4 times the smallest such integer. what are the three odd integers?1 solutions Answer 248522 by Fombitz(13828)   on 2010-09-24 15:15:34 (Show Source): You can put this solution on YOUR website!Let the integers be , , and . The integers are 11,13, and 15. . . . True, good solution.
 Linear_Algebra/347684: For what value of x would the expression below be undefined? 5x - 18 x - 7 1 solutions Answer 248521 by Fombitz(13828)   on 2010-09-24 15:13:20 (Show Source): You can put this solution on YOUR website!I assume you mean like this (5x-18)/(x-7)=. The expression is undefined when the denominator equals zero. Solve for .
 Sequences-and-series/347669: find using algebra the first five terms of the sequence when the 99th and 100th in the sequence are 351 and 353 1 solutions Answer 248518 by Fombitz(13828)   on 2010-09-24 15:03:42 (Show Source): You can put this solution on YOUR website! Then, . . . I think you see how to get the next 2 values so I'll leave that to you.
 absolute-value/347679: |-2w+5|=111 solutions Answer 248516 by Fombitz(13828)   on 2010-09-24 14:47:34 (Show Source): You can put this solution on YOUR website! and and and and . . .
 Numbers_Word_Problems/347670: The distance s, in feet, that an object will fall in t seconds is given by s=16tsquared + vt, where v is the initial velocity of the object in feet per second.1 solutions Answer 248515 by Fombitz(13828)   on 2010-09-24 14:44:11 (Show Source): You can put this solution on YOUR website!Yes, and what's your question?
 Equations/347667: find the equation of the line whose slope (m) is -3/4 and which passes through the (8,-2)1 solutions Answer 248514 by Fombitz(13828)   on 2010-09-24 14:36:43 (Show Source): You can put this solution on YOUR website!Use the point-slope form of a line,
 Inequalities/347672: Please help me solve this equation by method of substitution y=x(3) I tried substituting 14 for x. The main equation is x + y = 56 where y =x(3). After the substitution I got 14 + 42 = 56 and 42=14(3). Is that correct?1 solutions Answer 248513 by Fombitz(13828)   on 2010-09-24 14:35:22 (Show Source): You can put this solution on YOUR website!No, that's not correct. How did you come up with ? . . . 1. 2. Now substitute eq. 1 into eq. 2, that's where the substitution comes in. That's where the comes from. Now use either equation and the result for to find . From eq. 1, So the solution is and . You verify the solution by plugging it back into your original equations.
 Trigonometry-basics/347675: y = 2 tan 2x graph two periods of the given tangent function1 solutions Answer 248512 by Fombitz(13828)   on 2010-09-24 14:30:29 (Show Source):
 Geometry_Word_Problems/347616: A bicycle tire travels about 50.27 inches during one rotation of the wheel. What is the diameter of the tire? 1 solutions Answer 248511 by Fombitz(13828)   on 2010-09-24 14:09:46 (Show Source): You can put this solution on YOUR website!DUPLICATE See Miscellaneous_Word_Problems/347592
 Divisibility_and_Prime_Numbers/347621: Show all the three digit number that are divible either by 2 either by 3 and those by 2 and 31 solutions Answer 248508 by Fombitz(13828)   on 2010-09-24 14:04:03 (Show Source): You can put this solution on YOUR website!You can generate them yourself. . . 2:100,102,104,...,998 <--- Just add 2 to the previous number . . 3:102,105,108,...,999 <--- Just add 3 to the previous number . . 6:102,108,114,...,996 <--- Just add 6 to the previous number
 Quadratic-relations-and-conic-sections/347596: evaluate the following determinants. -2 -1 0 -3 5 -2 0 8 -11 solutions Answer 248507 by Fombitz(13828)   on 2010-09-24 13:58:43 (Show Source): You can put this solution on YOUR website! I used EXCEL's MDETERM function with your matrix. . . . You could also calculate by hand,