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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Linear-equations/328128: graph the following liner equation y=x2-2x1 solutions Answer 235009 by Alan3354(30993)   on 2010-08-02 15:04:06 (Show Source): You can put this solution on YOUR website!What is "x2"? Do you mean linear? If x2 is x squared, then it's not linear. ???
 Problems-with-consecutive-odd-even-integers/328119: The sum of two consecutive odd integers is 56. Find the two odd integers.1 solutions Answer 235006 by Alan3354(30993)   on 2010-08-02 15:02:12 (Show Source): You can put this solution on YOUR website!56/2 = 28, the center. --> 27 & 29
 test/328130: I wanted to know what fractional part of an hour is 2 minutes not 18 minutes?1 solutions Answer 235005 by Alan3354(30993)   on 2010-08-02 15:00:55 (Show Source): You can put this solution on YOUR website!I wanted to know what fractional part of an hour is 2 minutes not 18 minutes? -------------- 2 mins/60 mins/hr = 1/30 of an hour. -------------- Did someone do 18 minutes by mistake?
 logarithm/327947: Calculate log125 51 solutions Answer 234916 by Alan3354(30993)   on 2010-08-02 11:03:57 (Show Source): You can put this solution on YOUR website!Use the base change. = log(5)/log(125) = 1/3
 Probability-and-statistics/328029: If a family has six children, how do i calculate the probability that at least one is a girl?1 solutions Answer 234913 by Alan3354(30993)   on 2010-08-02 10:59:49 (Show Source): You can put this solution on YOUR website!If a family has six children, how do i calculate the probability that at least one is a girl? Calculate the probability that there are 6 boys, then subtract that from 1. Each is a 1/2 chance. (1/2)^6 = 1/64, the chance of all 6 boys. The chance of 1 or more girls = 63/64.
 Polynomials-and-rational-expressions/327884: 216v^2-150 1 solutions Answer 234799 by Alan3354(30993)   on 2010-08-01 21:55:37 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Linear_Algebra/327885: Solve the following system of nonlinear equations. y^2+4x=0 x^2-8x+y^2+15=01 solutions Answer 234798 by Alan3354(30993)   on 2010-08-01 21:53:03 (Show Source): You can put this solution on YOUR website!No intersection, no solutions.
 test/327896: what is the percent of college students who study between 20 and 36 hours per week 1 solutions Answer 234797 by Alan3354(30993)   on 2010-08-01 21:50:30 (Show Source): You can put this solution on YOUR website!No idea.
 Radicals/327893: I cannot get this one even close: (2 ^9/10)^2/11 ( 9/10 and 2/11 are exponents)1 solutions Answer 234796 by Alan3354(30993)   on 2010-08-01 21:50:00 (Show Source): You can put this solution on YOUR website!I cannot get this one even close: (2 ^9/10)^2/11 ( 9/10 and 2/11 are exponents) Multiply the exponents. - = 2^(9/55) =~ 1.120106852
 Volume/327887: What is the volume of a cone that has an inscribed sphere removed? Use a variety of sized cones. Generalize a pattern (if any) for volume remaining to the total cone volume. 1 solutions Answer 234792 by Alan3354(30993)   on 2010-08-01 21:18:25 (Show Source): You can put this solution on YOUR website! Isosceles Triangle A triangle with two sides of equal length. a = c A = C B + 2A = Pi radians = 180o P = 2a + b s = a + b/2 K = b sqrt(4a2-b2)/4 = a2 sin(B)/2 = ab sin(A)/2 ha = b sqrt(4a2-b2)/(2a) = a sin(B) = b sin(A) ma = sqrt(a2+2b2)/2 ta = b sqrt(a[2a+b])/(a+b) = b sin(A)/sin(3A/2) hb = mb = tb = sqrt(4a2-b2)/2 = a cos(B/2) R = a2b/4K = a/[2 sin(A)] = b/[2 sin(B)] r = K/s = b sqrt[(2a-b)/(2a+b)]/2 Here's a start. Find the radius of the enclosed sphere by dealing with the intersection of the cone and sphere and a plane thru the cone's axis. r = K/s = b sqrt[(2a-b)/(2a+b)]/2 = b*sqrt(4a^2 - b^2)/(4a+2b) --------------------------- r above is the radius of the inscribed sphere. The dimensions of a cone are usually the radius of the base and the height. a in the triangle is the slant height of the cone, the length of the side. It's: s = sqrt(h^2 + (b/2)^2) where s = a. --------------------- Solve for h in terms of a and b: a = sqrt(h^2 + (b/2)^2) a^2 = h^2 + (b/2)^2 h^2 = a^2 - (b/2)^2 h = sqrt(a^2 - (b/2)^2) and the radius of the cone = b/2 Vol of the cone = pi*r^2*h/3 Vol = pi*(b/2)^2*sqrt(a^2 - (b/2)^2)/3 ----------------- For the sphere: Vol = 4*pi*r^3/3 = 4*pi*b^3*sqrt[(2a-b)/(2a+b)]/8 ----------------------- Subtract the sphere's volume from the cone's.
 Radicals/327871: can you please help me simplify sqrt(4x^2-6x+91 solutions Answer 234790 by Alan3354(30993)   on 2010-08-01 21:13:06 (Show Source): You can put this solution on YOUR website!If it's no simplification is possible.
 Radicals/327886: May I please have help with this problem. Thank you very much. Square root 14 ÷ square root 7 = square root 2 I am trouble when it come to to these kind of problems.1 solutions Answer 234789 by Alan3354(30993)   on 2010-08-01 21:11:06 (Show Source): You can put this solution on YOUR website!There's no problem.
 Radicals/327878: May I please have help to solve this problem. Thank you very much. Sorry I don't know how to get the 1/3 smaller. The answer I came up with was square root -3x³ I don't think it is right (-27x^9)1/31 solutions Answer 234788 by Alan3354(30993)   on 2010-08-01 21:09:54 (Show Source): You can put this solution on YOUR website!It is right.
 Travel_Word_Problems/327879: If a bicyclist rides at 10 miles per hour for 10 minutes, and then speeds up to 20 miles per hour for the next 20 minutes, what is her average speed for this ride? 1 solutions Answer 234787 by Alan3354(30993)   on 2010-08-01 21:06:51 (Show Source): You can put this solution on YOUR website!If a bicyclist rides at 10 miles per hour for 10 minutes, and then speeds up to 20 miles per hour for the next 20 minutes, what is her average speed for this ride? ----------- Find the total distance, divide it by the total time. 10 mph*(10/60) + 20 mph*(20/60) = 500/60 miles = 25/3 miles Time = 1/2 hour --> 50/3 mph =~ 16.67 mph
 Travel_Word_Problems/327862: Throwing a wrench. An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)=-16t^2-32t+1281 solutions Answer 234782 by Alan3354(30993)   on 2010-08-01 20:33:59 (Show Source): You can put this solution on YOUR website!I think you're right.
 Complex_Numbers/327838: Hello' The mass of Venus is about 4.871x10 to 21st power metric tons. The mass of the sun is about 1.998x10 to the 27th power metric tons. About how many times the mass of Venus is the mas of the sun. Give your answer in Scientific Notation Please. The mass of th sun is __?___times the mass of the Venus. Thank you 1 solutions Answer 234781 by Alan3354(30993)   on 2010-08-01 20:31:15 (Show Source): You can put this solution on YOUR website!The mass of Venus is about 4.871x10 to 21st power metric tons. The mass of the sun is about 1.998x10 to the 27th power metric tons. About how many times the mass of Venus is the mas of the sun. --------------- 1.998E27/4.871E21 = 0.4102E6 times = 4.102E5 times or
 Equations/327779: Write the equation of the line whose graph has slope -4 and passes through the point (6,0). Write the equation in slope-intercept form. 1 solutions Answer 234749 by Alan3354(30993)   on 2010-08-01 17:23:23 (Show Source): You can put this solution on YOUR website!Use y = mx + b and the point to find the y-intercept. 0 = -4*6 + b b = 24 --> y = -4x + 24
 Evaluation_Word_Problems/327774: Help please. Solve by factoring. 2h -h -3 = 01 solutions Answer 234747 by Alan3354(30993)   on 2010-08-01 17:18:30 (Show Source): You can put this solution on YOUR website!Solve by factoring. 2h -h -3 = 0 2h - h - 3 = 0 h - 3 = 0 h = 3 No factoring was needed.
 Equations/327766: Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1 and at x =-1. 1 solutions Answer 234746 by Alan3354(30993)   on 2010-08-01 17:16:38 (Show Source): You can put this solution on YOUR website!What does the underscore mean?
 Probability-and-statistics/327784: A candy bowl contains 8 red m&ms 5 blue 3 yellow if two m&ms are selected at random what is the probability that one will be blue or one will be yellow? 3/16+5/16= 8/16= 50%?1 solutions Answer 234744 by Alan3354(30993)   on 2010-08-01 17:14:29 (Show Source): You can put this solution on YOUR website!A candy bowl contains 8 red m&ms 5 blue 3 yellow if two m&ms are selected at random what is the probability that one will be blue or one will be yellow? 3/16+5/16= 8/16= 50%? Don't add them, multiply them. If you add them, the probability increases with added restrictions, which makes no sense. And after getting the 1st one, only 15 are left. ---------------------- The yellow is 3/16 The blue is then 5/15 --> (3/16)*(5/15) = 1/16
 real-numbers/327764: four consecutive odd integers have a sum of 120 what are they?1 solutions Answer 234741 by Alan3354(30993)   on 2010-08-01 17:09:59 (Show Source): You can put this solution on YOUR website!four consecutive odd integers have a sum of 120 what are they? 120/4 = 30, the center of the 4 numbers --> 27, 29, 31 & 33
 Polynomials-and-rational-expressions/327782: 12n^2+36n=01 solutions Answer 234740 by Alan3354(30993)   on 2010-08-01 17:07:51 (Show Source): You can put this solution on YOUR website!12n^2+36n=0 n^2 + 3n = 0 n*(n+3) = 0 Can you finish it?
 Surface-area/327753: I've tried this a few times but when I go to check, it is wrong. What is the surface area of a soccer ball that has the circumference of 28 inches? 1 solutions Answer 234731 by Alan3354(30993)   on 2010-08-01 15:49:40 (Show Source): You can put this solution on YOUR website!I've tried this a few times but when I go to check, it is wrong. What is the surface area of a soccer ball that has the circumference of 28 inches? ------------- C = 2pi*r = 28 r = 14/pi --------- Area = 4pi*r^2 A = 4pi*(14/pi)^2 A = 784/pi sq inches A =~ 249.555 sq in
 logarithm/327728: What is the logarithm of 1500?1 solutions Answer 234730 by Alan3354(30993)   on 2010-08-01 15:18:00 (Show Source): You can put this solution on YOUR website!log(1500) = 3.17609... Do you not have a calculator? Or is that what you meant to ask? log(1500) = log(3) + log(5) + log(100) = log(3) + log(5) + 2 ---------------------- Logs are exponents. The name logarithm is unfortunate, if they were called exponents it would be easier to understand. ------------ The log is the exponent of 10 (10 for "common logs").
 Polynomials-and-rational-expressions/327710: please factor completely and show steps please 64x^3 - 25x1 solutions Answer 234711 by Alan3354(30993)   on 2010-08-01 13:23:30 (Show Source): You can put this solution on YOUR website!Show your steps first.
 Polynomials-and-rational-expressions/327712: please help me factor completely. showing all work please t^5 - 81t1 solutions Answer 234710 by Alan3354(30993)   on 2010-08-01 13:22:54 (Show Source): You can put this solution on YOUR website!You show your work first.
 Polynomials-and-rational-expressions/327713: please help with the following problem can you please show steps Factor completely 4x^2 - 44xy + 121y^21 solutions Answer 234709 by Alan3354(30993)   on 2010-08-01 13:22:24 (Show Source): You can put this solution on YOUR website!Hint: Both outside terms are perfect squares
 Miscellaneous_Word_Problems/327688: " There are 1000 bacteria in the corner of your refridgerator. If the bacteria triple every day, how many bacteria will exist after 30 days?" Thank you for your time.1 solutions Answer 234707 by Alan3354(30993)   on 2010-08-01 12:55:29 (Show Source): You can put this solution on YOUR website!1st day 1000*3^0 = 1000 2nd day 1000*3^1 = 3000 etc 30th day 1000*3*29 =~ 6.863E16 =~ 68,630,000,000,000,000 assuming none have died.
 Evaluation_Word_Problems/327700: please help! Fact the trinomial using the ac method. 2x^2 + 11x + 51 solutions Answer 234706 by Alan3354(30993)   on 2010-08-01 12:45:50 (Show Source): You can put this solution on YOUR website!I don't know the ac method, but 2*5 + 1*1 = 11
 Miscellaneous_Word_Problems/327693: I hope someone can help me.Thank you in advance. A Norman window is a rectangle with a semicircle on top. Big Sky Windows is designing a Norman window that will require 24 feet of trim. What dimensions will allow the maximum amount of light to enter a house?"1 solutions Answer 234705 by Alan3354(30993)   on 2010-08-01 12:32:30 (Show Source):
 Square-cubic-other-roots/327676: I need help with problem multipy and simplify sqrt28a^9b * sqrt8a^10b^8 please explain..thank you1 solutions Answer 234703 by Alan3354(30993)   on 2010-08-01 12:15:24 (Show Source): You can put this solution on YOUR website!multipy and simplify = = =