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# Recent problems solved by 'Alan3354'

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 Complex_Numbers/477116: Hello. My question is . This is a tough one for me, because i^2 is -1. Then you could multiply -1 17 times, which is still -1. Then, you have an i left over, and all of this is over 1 I think because you are raising a negative exponent. So 1/-i? However, my calculator says that it is 5E-13+i. Any help would be greatly appreciated.1 solutions Answer 327093 by Alan3354(30993)   on 2011-08-02 15:35:01 (Show Source): You can put this solution on YOUR website! = = = 1/-i = i
 Polynomials-and-rational-expressions/477073: Im not sure how to solve a problem when it has letters squared. Like for example 1. (-2a^2b)(4a^2b^2) 2. -5x^2(4x-6) 3. (x-3)(x+5) 4. (2b+1)(b+4) 5. (y-7)^2 6. (x+12)(x-12). these all have letters squared i have no idea how to solve any of these or where to move them? If you could explain that and help me i would be so happy. Thank you for your time1 solutions Answer 327066 by Alan3354(30993)   on 2011-08-02 11:40:11 (Show Source): You can put this solution on YOUR website!Im not sure how to solve a problem when it has letters squared. Like for example 1. (-2a^2b)(4a^2b^2) These two terms are multiplied. When you multiply, the exponents are added. -------------------------------------- 2. -5x^2(4x-6) = --------------- 3. (x-3)(x+5) 4. (2b+1)(b+4) 5. (y-7)^2 6. (x+12)(x-12). these all have letters squared i have no idea how to solve any of these or where to move them? ------------------ This is not "solving", you don't solve for anything. It's simplification, or multiplication. You work on the others and send my your work via the Thank You note to check it.
 logarithm/477066: log little b at bottom 5 square root w1 solutions Answer 327063 by Alan3354(30993)   on 2011-08-02 11:05:13 (Show Source): You can put this solution on YOUR website! And what's your question?
 Polynomials-and-rational-expressions/477021: inequality 3(14)= 2744 1 solutions Answer 327058 by Alan3354(30993)   on 2011-08-02 10:28:12 (Show Source): You can put this solution on YOUR website!inequality 3(14)= 2744 ---------- I don't know what you mean by that. tho.
 Linear-equations/476988: Find the slope if it exists of the line containing the pair of points (6, 7) and (10, 2) a. The slope is m= (Simply your answer type an integer or a fraction.) b. The slope is undefined. 1 solutions Answer 327051 by Alan3354(30993)   on 2011-08-02 10:10:35 (Show Source): You can put this solution on YOUR website!Find the slope if it exists of the line containing the pair of points (6, 7) and (10, 2) ----------------- Slope m = diffy/diffx ----- (6, 7) (10,2) ------- Subtract -4, 5 m = 5/-4 = -5/4
 Linear-equations/477035: Please help me solve this equation: 9x-7y=-79.1 solutions Answer 327049 by Alan3354(30993)   on 2011-08-02 10:06:46 (Show Source): You can put this solution on YOUR website!Solve for what? You can solve for x in terms of y: x = (7/9)y - 79/9 or y in terms of x: ------------------- There's no single solution for one equation with 2 variables. There are an infinite # of solutions for it. If you graph it, it's a straight line, and every point on the line is a solution.
 Quadratic_Equations/477042: examples of quadratic equation 1 solutions Answer 327046 by Alan3354(30993)   on 2011-08-02 09:50:45 (Show Source): You can put this solution on YOUR website!There are 100s, maybe 1000s, on this site.
 Quadratic_Equations/476845: Use the quadratic formula to solve the equation: 0 = x^2 + x - 20 Thanks!1 solutions Answer 326931 by Alan3354(30993)   on 2011-08-01 18:52:01 (Show Source): You can put this solution on YOUR website!Use the quadratic formula to solve the equation: 0 = x^2 + x - 20 ---------------- Good idea, why don't you?
 Equations/476820: Here is an example of a problem that I am having a hard time figuring out. Given f(x) = 2-2x and g(x) = -6x+2, find f+g1 solutions Answer 326929 by Alan3354(30993)   on 2011-08-01 18:38:31 (Show Source): You can put this solution on YOUR website!Here is an example of a problem that I am having a hard time figuring out. Given f(x) = 2-2x and g(x) = -6x+2, find f+g ------------ f(?) + g(?) ??? you have to specify. If it's of x, then just add them. f(x) + g(x) = 2-2x + (-6x+2) = -8x + 4
 Quadratic_Equations/476832: 1. (30 points) In 1981, Vadimir Poliakov (USSR) set a world record of 19ft ¾ in for the pole vault (www.polevault.com). To reach that height, Poliakov obtained a speed of approximately 36 feet per second on the runway. The formula h = -16t2 + 36t gives his height t seconds after leaving the ground. a. Does the graph of this equation open up or down? How did you determine this? 1 solutions Answer 326928 by Alan3354(30993)   on 2011-08-01 18:36:14 (Show Source): You can put this solution on YOUR website!The t^2 term is negative, so it opens down. -------------- His horizontal speed is not directly related to his vertical speed, or the height reached pole vaulting, tho. All this information is irrelevant. The formula h = -16t^2 + 36t applies to projectiles, not to pole vaulters.
 Polynomials-and-rational-expressions/476816: multiply and simplify. Assume variables represent nonzero real numbers z^13 times z^01 solutions Answer 326927 by Alan3354(30993)   on 2011-08-01 18:33:18 (Show Source): You can put this solution on YOUR website!Add the exponents when multiplying. 13 + 0 = 13 = ------------- PS x^0 = 1 Anything to the power of zero = 1. By convention, 0^0 = 1.
 Polynomials-and-rational-expressions/476797: I need to factor this completely. 6x^2 +5x-21. Thank you1 solutions Answer 326915 by Alan3354(30993)   on 2011-08-01 17:55:04 (Show Source): You can put this solution on YOUR website!I need to factor this completely. 6x^2 +5x-21. -------------- Then you should. It's better for you if you do it, rather than get someone else to do it. -------------- It will be either (x + a)*(6x + b) or (2x + a)*(3x + b). --------------------- a & b will be either 1 & 21 or 3 & 7. The signs of a & b will be opposite. Good luck.
 Polynomials-and-rational-expressions/476794: I need to factor this completely. i would appreciate the help. I think I have the answer but just would like to double check. 15x^2-13x+2 I got (15x+2)(x-1) Thank you1 solutions Answer 326914 by Alan3354(30993)   on 2011-08-01 17:49:29 (Show Source): You can put this solution on YOUR website!If you multiply your answer, you'll see it's right. No reason to ask for confirmation.
 Polynomials-and-rational-expressions/476803: perform the indicated operations in simplest form nine over 14x^-4x over 7y^ 9/14^y-4x/7y^ please show the steps 1 solutions Answer 326913 by Alan3354(30993)   on 2011-08-01 17:47:41 (Show Source): You can put this solution on YOUR website!What is the exponent in 14x^-4x ? ? What does 7y^ mean, as in the last term?
 Probability-and-statistics/476776: An often-quoted example of an event of extremely low probability is that a monkey types Shakespeare’s entire play Hamlet by randomly striking keys on a typewriter. Assume that the typewriter has 48 keys (including the space bar) and that the monkey is equally likely to hit any key. A. Find the probability that such a monkey will actually correctly type just the title of the play as his first word. B. What is the probability that the monkey will type the phrase “To be or not to be” as his first words? thankyou :)1 solutions Answer 326903 by Alan3354(30993)   on 2011-08-01 17:06:37 (Show Source): You can put this solution on YOUR website!A. (1/48)^6 =~ 8.176E-11 -------------------- B. (1/48)^18 =~ 5.466E-31
 Exponential-and-logarithmic-functions/476731: 10^4x-5=111 solutions Answer 326898 by Alan3354(30993)   on 2011-08-01 17:02:56 (Show Source): You can put this solution on YOUR website!10^4x-5=11 10000x - 5 = 11 10000x = 16 x = 16/10000 = 0.0016
 real-numbers/476775: What is an example of a real number that is an irrational real number between 4 and 5.1 solutions Answer 326896 by Alan3354(30993)   on 2011-08-01 16:58:56 (Show Source):
 Travel_Word_Problems/476740: If a car is going 60 mph, how long will it take to travel 27 miles?1 solutions Answer 326892 by Alan3354(30993)   on 2011-08-01 16:45:45 (Show Source): You can put this solution on YOUR website!27/60 hours = 27 minutes
 Functions/476749: I have a question and need to know if I put it in standard form correctly. The problem is y=5x^2-10x+12. My solution is 5(x^2-2x) + 12 5(x^2-2x+1) + 12 5(x-1)(x-1) +7 5(x-1)^2 + 7 but I'm not sure what happened with the 12 and 51 solutions Answer 326891 by Alan3354(30993)   on 2011-08-01 16:43:42 (Show Source): You can put this solution on YOUR website!I have a question and need to know if I put it in standard form correctly. The problem is y=5x^2-10x+12. My solution is 5(x^2-2x) + 12 5(x^2-2x+1) + 12 5(x-1)(x-1) +7 ----------------- What is your question? 5(x-1)^2 + 7 is standard form.
 Expressions-with-variables/476743: The Sum of Two Numbers is 133.Four times the smaller of the two numbers equals three times the greater number. I tried setting it up, but I am haveing a hard time. 4x=133-3x 7x=133 x=19 19*4=76 76/3=25.33 19+25.33 doesn't= 133 ,But then I Check my answer and it is wrong, can you help me please.1 solutions Answer 326884 by Alan3354(30993)   on 2011-08-01 15:48:30 (Show Source): You can put this solution on YOUR website!The Sum of Two Numbers is 133.Four times the smaller of the two numbers equals three times the greater number. I tried setting it up, but I am haveing a hard time. 4x=133-3x If x is one number, 133-x is the other. You have to multiply 3 x (133-x) ------------ 7x=133 x=19 19*4=76 76/3=25.33 19+25.33 doesn't= 133 ---------------------------- 4x = 3*(133-x) You subtracted 3x 4x = 399 - 3x 7x = 399 x = 57 is the smaller number 76 is the other number
 Money_Word_Problems/476726: How do I find out how many months it will take me to double my money at 5%APR? What is the formula? Thank you.1 solutions Answer 326874 by Alan3354(30993)   on 2011-08-01 15:06:31 (Show Source): You can put this solution on YOUR website!If it's compounded monthly, the monthly interest rate = 0.05/12 ------------- 2 = (1 + 0.05/12)^n (n = # of months) log(2) = n*log(1 + 0.05/12) n = log(2)/log(1 + 0.05/12) n =~ 166.7 months = 167 months
 Quadratic-relations-and-conic-sections/476701: Which type of conic section is given by the following equation (y-3)^2/4^2-(x+2)^2/6^2=1?1 solutions Answer 326862 by Alan3354(30993)   on 2011-08-01 14:33:40 (Show Source): You can put this solution on YOUR website!The signs of the x^2 and y^2 terms are different --> hyperbola
 Miscellaneous_Word_Problems/476687: If there r 10millimeters in a centimeter and 10 centimeters in a decimeter how many millimeters are there in a decimeter1 solutions Answer 326861 by Alan3354(30993)   on 2011-08-01 14:25:03 (Show Source): You can put this solution on YOUR website!10 mm/cm * 10 cm/dm = 100 mm/dm
 percentage/476710: what is the percentage of 7/15? and how did you get the answer.Thanks1 solutions Answer 326860 by Alan3354(30993)   on 2011-08-01 14:22:50 (Show Source): You can put this solution on YOUR website!(7/15)*100 =~ 46.67%
 Linear-systems/476712: An express and local train leave GraysLake at 3P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. I want to say it would start out with 2x-50=????1 solutions Answer 326859 by Alan3354(30993)   on 2011-08-01 14:21:33 (Show Source): You can put this solution on YOUR website!If half the time is 1 hour less, --> 1 hr and 2 hours. --> 50 mph and 25 mph
 Radicals/476694: How do you solve the problem 1 diveded by the square root of 2?1 solutions Answer 326855 by Alan3354(30993)   on 2011-08-01 13:51:10 (Show Source): You can put this solution on YOUR website!There's nothing to solve for. It's not an equation, there's no variable. ------------- You can get the radical out of the denominator, as above.
 Square-cubic-other-roots/476698: How do I solve 2 (square root)6? I simplified the problem (square root)24 which gave me (square root)4 * (square root)6 = 2 square root(6). I don't understand how to convert 2 (square root)6 back to 24. Please help! Thank you! P.S. the (square root) refers to the number to the right of the parentheses.1 solutions Answer 326853 by Alan3354(30993)   on 2011-08-01 13:47:25 (Show Source): You can put this solution on YOUR website!How do I solve 2 (square root)6? I simplified the problem (square root)24 which gave me (square root)4 * (square root)6 = 2 square root(6). ------------------ Solve for what? There's nothing to be solved. That's all. You can use a cal=culator to get an apporximation: =~ 4.8989795
 Linear-equations/476638: Determine if the given point is a solution: 6.x+y = 20 P (5,4) 7.x-y=20 P(30,10) 8.2x-y=20 P (5,5) 9.X+y=10 P (2,8) 10.2x+4y=10 P (1,2) PLEASE answer this question asap. this is Homework. tnks in advance.:)1 solutions Answer 326852 by Alan3354(30993)   on 2011-08-01 13:40:26 (Show Source): You can put this solution on YOUR website!Determine if the given point is a solution: 6.x+y = 20 P (5,4) Sub 5 for x and 4 for y and see if it = 20 5 + 4 =? 20 It doesn't, so it's not a solution. -------------------- Do the others the same way. email via the Thank You note to check your work. --------------------- 7.x-y=20 P(30,10) 8.2x-y=20 P (5,5) 9.X+y=10 P (2,8) 10.2x+4y=10 P (1,2)
 Equations/476641: How would I simplify 12-3x^2/x^2-x-2?1 solutions Answer 326820 by Alan3354(30993)   on 2011-08-01 11:08:51 (Show Source): You can put this solution on YOUR website!It depends on what's the NUM and what's the DEN. Add some parentheses. --------------- = = = =
 Trigonometry-basics/476635: Find all t in the interval [0, 2π] satisfying sin x − cos x = 1.1 solutions Answer 326819 by Alan3354(30993)   on 2011-08-01 10:57:55 (Show Source): You can put this solution on YOUR website!sin(x) - cos(x) = 1 ------------------- sin - sqrt(1 - sin^2) = 1 Sub x for sin(x) x = 1 + sqrt(1 - x^2) x-1 = sqrt(1 - x^2) x^2 - 2x + 1 = 1 - x^2 2x^2 - 2x = 0 x = 0, x = 1 -------------- sin(x) = 0 or 1 --> x = 0, x = pi/4
 logarithm/476627: logb(1)= log4(1)= x^2=5 11x^2=-144 -sqaureroot -981 solutions Answer 326811 by Alan3354(30993)   on 2011-08-01 10:17:57 (Show Source): You can put this solution on YOUR website!logb(1)= 0 log4(1)= 0 Log of 1 to any base = 0 ----------- x^2=5 x = ± sqrt(5) ------------ 11x^2=-144 x = ± 12i*sqrt(11)/11 ---------------- -sqaureroot -98 If you mean = ±7*sqrt(2)i -------------