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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Polynomials-and-rational-expressions/330513: Rewrite with a rational exponent. √(5&22)1 solutions Answer 236989 by Alan3354(30993)   on 2010-08-10 15:10:30 (Show Source): You can put this solution on YOUR website!What does 5&22 mean?
 Polynomials-and-rational-expressions/330529: [(a^4-b^4)/(a^4+b^4)]*[(a^8-b^8)/(a^6+b^6)]1 solutions Answer 236981 by Alan3354(30993)   on 2010-08-10 14:33:32 (Show Source): You can put this solution on YOUR website! = Cancel (a^4+b^4) = = = Cancel (a^2+b^2) = or =
 Pythagorean-theorem/330603: Find the length of a diagonal of a square tile that has sides 4 cm long.1 solutions Answer 236974 by Alan3354(30993)   on 2010-08-10 14:16:02 (Show Source):
 Pythagorean-theorem/330605: A square has a diagonal length of 10 meters. Find the area of the square. 1 solutions Answer 236973 by Alan3354(30993)   on 2010-08-10 14:13:35 (Show Source): You can put this solution on YOUR website! Area = 50 sq meters
 Radicals/330601: how do i simplify each radical by factoring i.e. square root of 3600 1 solutions Answer 236972 by Alan3354(30993)   on 2010-08-10 14:07:03 (Show Source): You can put this solution on YOUR website! ± 60
 Circles/330581: How do you find the arc of a circle when you have a tangent line?1 solutions Answer 236971 by Alan3354(30993)   on 2010-08-10 14:01:55 (Show Source): You can put this solution on YOUR website!It's not possible. Not sufficient info.
 test/330392: I am learning algebra and having difficulty in solving this story problem can you please guide me through it. The function H described by h (x) = 2.75x + 71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is X cm long. Predict the height of a woman whose humerus is 35cm long.1 solutions Answer 236948 by Alan3354(30993)   on 2010-08-10 11:21:54 (Show Source): You can put this solution on YOUR website! h (x) = 2.75x + 71.48 ----------------- Sub 35 for x h(35) = 2.75*35 + 71.48 h(35) = 167.73 cm
 Polynomials-and-rational-expressions/330548: Please help me solve this equation and show the work. Factor by grouping: 6z^3 + 3z^2 +2z + 11 solutions Answer 236947 by Alan3354(30993)   on 2010-08-10 11:19:48 (Show Source): You can put this solution on YOUR website!Please help me solve this equation and show the work. Factor by grouping: 6z^3 + 3z^2 +2z + 1 ----------------- This is not an equation. Equations have an equal sign. It can be factored, tho. ----------------- = =
 Geometry_Word_Problems/330527: A metallic sphere of radius of 21/2 cm is melted down and then recast into small cones of radius 7/2 cm and height 3 cm each.how many of such cones can be made.1 solutions Answer 236946 by Alan3354(30993)   on 2010-08-10 11:15:52 (Show Source): You can put this solution on YOUR website!A metallic sphere of radius of 21/2 cm is melted down and then recast into small cones of radius 7/2 cm and height 3 cm each.how many of such cones can be made. ---------- The volume of the sphere: V = V = 1543.5 pi cc ----------------- Vol of each cone: v = 12.25 pi cc ------------ 1543.5 pi/(12.25 pi) = 126 cones
 Exponential-and-logarithmic-functions/330547: Solve 4 + 3 e^5x = 271 solutions Answer 236944 by Alan3354(30993)   on 2010-08-10 11:08:06 (Show Source): You can put this solution on YOUR website!4 + 3 e^5x = 27 5x = ln(23/3) x = ln(23/3)/5 x =~ 0.407376
 Trigonometry-basics/330365: Having trouble understanding inverse trig functions / calculating exact values.... Cos (Cos^-1(1/2)1 solutions Answer 236828 by Alan3354(30993)   on 2010-08-09 22:28:37 (Show Source): You can put this solution on YOUR website!= 1/2
 Complex_Numbers/330406: how do you Express as a single logarithm: 3 log a + log 1 – log b? Having trouble, thanks1 solutions Answer 236811 by Alan3354(30993)   on 2010-08-09 21:41:23 (Show Source): You can put this solution on YOUR website!Express as a single logarithm: 3 log a + log 1 – log b? -------------- log(1) = 0 for any base ------------Express as a single logarithm: 3 log a – log b? = =
 test/330387: I am learning how to solve the problem and just need some help with making sure I am doing it correctly. I need to solve the system of equations by graphing. Then classify the system as consistent, inconsistent, and dependent, or independent. 6x - 5y + -25 5y -6x = 25 Thanks for your help :o)1 solutions Answer 236808 by Alan3354(30993)   on 2010-08-09 21:39:48 (Show Source): You can put this solution on YOUR website!6x - 5y + -25 No equal sign.
 Rectangles/330403: the problem was "find the midpoint of the line segment PQ, then the question was P(0,3);Q(-10,-13). I really had problems with this one.1 solutions Answer 236800 by Alan3354(30993)   on 2010-08-09 21:26:20 (Show Source): You can put this solution on YOUR website!What sort of problems?
 Trigonometry-basics/330363: Having trouble understanding inverse trig functions / calculating exact values.... Sec^-1 (2.2500)=1 solutions Answer 236799 by Alan3354(30993)   on 2010-08-09 21:23:18 (Show Source): You can put this solution on YOUR website!What sort of trouble? ----------- Sec^-1 (2.2500)= secant = 1/cosine --> arccos(1/2.25) = arccos(4/9) Calculators have sine, cosine and tangent arcsec(2.25) =~ 63.6 degs
Travel_Word_Problems/330347: when a ball is thrown, it's height in feet H after t seconds is given by the equation h=vt-16t^2 where v is the initial upwards velocity in feet per second if v=13 feet per second find all the values of t for which h=2
1 solutions

Answer 236770 by Alan3354(30993)   on 2010-08-09 19:03:24 (Show Source):
You can put this solution on YOUR website!
when a ball is thrown, it's [sic] height in feet H after t seconds is given by the equation h=vt-16t^2 where v is the initial upwards velocity in feet per second if v=13 feet per second find all the values of t for which h=2
----------
h(t) = vt-16t^2
Sub 2 for h and 13 for h
2 = 13t - 16t^2
16t^2 - 13t + 2 = 0
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=41 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.206152367580223, 0.606347632419777. Here's your graph:

t = x
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It's at 2 feet twice, going up, then coming back down.
Most people find it difficult to throw a ball straight up from ground level.

 Probability-and-statistics/330336: does lovastatin reduce the risk oh heart attack1 solutions Answer 236769 by Alan3354(30993)   on 2010-08-09 18:55:41 (Show Source): You can put this solution on YOUR website!It might.
 Probability-and-statistics/330337: does lovastatin reduce the risk of heart attack. In a texas study, 1 solutions Answer 236768 by Alan3354(30993)   on 2010-08-09 18:53:51 (Show Source): You can put this solution on YOUR website!How would we know that?
 Average/330316: I have a 63.30% average in class as of right now.. What do I need to make on my next test in order for my grade to go up to a 75% average1 solutions Answer 236761 by Alan3354(30993)   on 2010-08-09 18:12:20 (Show Source): You can put this solution on YOUR website!I have a 63.30% average in class as of right now.. What do I need to make on my next test in order for my grade to go up to a 75% average --------- Insufficient info. How many tests, or other items, contribute to the 63.3% average?
 Radicals/330326: Multiply [(x-2) - y] ^2 Do you have to like square the whole thing ? SO it would be like x^2-4x+4 - y^2 ? Please help.1 solutions Answer 236759 by Alan3354(30993)   on 2010-08-09 18:10:26 (Show Source): You can put this solution on YOUR website! Multiply [(x-2) - y] ^2 Do you have to like square the whole thing ? SO it would be like x^2-4x+4 - y^2 ? --------------- What it's like is not the question. You have to say what it is. [(x-2) - y] ^2 = =
 Pythagorean-theorem/330286: Find the length of the side not given for a triangle with hypotenuse c and legs a and b. a=3 c=5√2 The guide says the answer is √41 I cannot figure out a way to get this answer no way I try. Thanks1 solutions Answer 236749 by Alan3354(30993)   on 2010-08-09 16:56:03 (Show Source): You can put this solution on YOUR website!Find the length of the side not given for a triangle with hypotenuse c and legs a and b. a=3 c=5√2 The guide says the answer is √41 I cannot figure out a way to get this answer no way I try. Thanks ----------------------
 Equations/330291: graph the equation x=y^2-2y+41 solutions Answer 236747 by Alan3354(30993)   on 2010-08-09 16:52:54 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk.com ------------ Use F6 (enter relationship) for this.
 Equations/330292: graph the equation y=-2x^2-8x-21 solutions Answer 236743 by Alan3354(30993)   on 2010-08-09 16:49:55 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk.com ------------
 Graphs/330296: grapth the equation (x-5)^2 /9 - y^2 /1 =11 solutions Answer 236740 by Alan3354(30993)   on 2010-08-09 16:49:20 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk.com ------------ Use F6 (enter relationship) for this.
 Expressions-with-variables/330283: I need to know how to solve an equation for y when there are two y's. The equation is 3xy+y=15.1 solutions Answer 236737 by Alan3354(30993)   on 2010-08-09 16:47:47 (Show Source): You can put this solution on YOUR website!I need to know how to solve an equation for y when there are two y's. The equation is 3xy+y=15. ------------- 3xy+y=15 y*(3x+1) = 15 y = 15/(3x+1)
 Quadratic-relations-and-conic-sections/330302: graph the eclipse (x-3)^2 /4 + (y-4)^2 /25 =11 solutions Answer 236734 by Alan3354(30993)   on 2010-08-09 16:45:02 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk.com ------------ Use F6 (enter relationship) for this.
 Exponential-and-logarithmic-functions/330281: Can you help me solve this. 6^(2-m)=2^(3m+1)1 solutions Answer 236721 by Alan3354(30993)   on 2010-08-09 15:38:04 (Show Source): You can put this solution on YOUR website!6^(2-m)=2^(3m+1) (2-m)*log(6) = (3m+1)*log(2) Can you finish it? ----------------- log(6) and log(2) are just numbers. 2log(6) - mlog(6) = 3mlog(2) + log(2) 3mlog(2) + mlog(6) = 2log(6) - log(2) = log(36) - log(2) = log(18) m*(3log(2) + log(6)) = log(18) m*(log(8) + log(6)) = log(18) m*log(48) = log(18) m = log(18)/log(48) m =~ 0.74663438 ---------------
 Sequences-and-series/330195: Find three consecutive multiples of 5 such that the sum of the squares of the first two is 125 greater than the square of the third. This is what I did, but it's wrong. 25N + 25N + 25 - 125 = 25N + 100 25N - 100 = 100 25N = 200 N = 81 solutions Answer 236634 by Alan3354(30993)   on 2010-08-09 11:54:18 (Show Source): You can put this solution on YOUR website!Find three consecutive multiples of 5 such that the sum of the squares of the first two is 125 greater than the square of the third. This is what I did, but it's wrong. This is ok, but you didn't square any terms. (n-4)*(n+2) = 0 n = 4 ----------- 25N + 25N + 25 - 125 = 25N + 100 25N - 100 = 100 25N = 200 N = 8
 Exponential-and-logarithmic-functions/329933: Please help me factor this completely: x^12-y^24 thank you1 solutions Answer 236485 by Alan3354(30993)   on 2010-08-08 20:35:14 (Show Source): You can put this solution on YOUR website!x^12-y^24 = = =
 Rational-functions/330019: write 508 in base eight1 solutions Answer 236483 by Alan3354(30993)   on 2010-08-08 20:27:54 (Show Source): You can put this solution on YOUR website! --> 511 = 777 base 8 --> 508 = 774 base 8
 Quadratic-relations-and-conic-sections/330005: Find the radius of the circle with these three points: (-4,9),(-6,5), and (3,8) and the center(-1,5) 1 solutions Answer 236480 by Alan3354(30993)   on 2010-08-08 20:18:19 (Show Source): You can put this solution on YOUR website!Find the radius of the circle with these three points: (-4,9),(-6,5), and (3,8) and the center(-1,5) ------------ It's 5. The center is at (-1,5) and a point at (-6,5).