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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Quadratic_Equations/475728: If you have -5x² + 12x - 10 = 0, what is the discriminant? How many solutions are there? 1 solutions Answer 326222 by Alan3354(30993)   on 2011-07-29 10:00:20 (Show Source): You can put this solution on YOUR website! Discriminant <0 ------------------ There are always 2 solutions to a quadratic, tho sometimes it's the same number with a multiplicity of 2.
 logarithm/475704: Find a counterexample for statement. 2^n+3^n is divisible by 4 the key n = 3 1 solutions Answer 326221 by Alan3354(30993)   on 2011-07-29 09:55:51 (Show Source): You can put this solution on YOUR website!Find a counterexample for statement. 2^n+3^n is divisible by 4 ------ n = 0 --> 1 + 1 = 2 not divisible
 Exponential-and-logarithmic-functions/475604: I CAN NOT SOLVE THESE AT ALL ! HELP PLEASE! I REALLY NEED THE ANSWERS, PLEASE AND THANKYOU . log(3)5+log(3)X=log(3)10 log(1/7)X=-1 2ln3x+1=5 log(3)0.1+2log(3)x=log(3)2+log(3)5 log(b)9=2 1/4log(2)16+1/2log(2)49=log(2)x 3^n^-2=27 2^2^n=16^-1 4^3^x=10 2^e^x-5=1 these are the answer choices , only one goes for each . PLEASE CAN YOU SOLVE EACH ONE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE !!!!!! I DO NOT KNOW HOW TO DO IT ON A CALCULATOR , IVE TRIED !!!! THANKYOU SO MUCH ! 10 , -2 , 14 , 3 , 2.4630 , 0.5537 , 3.2147 , 7 , 5 , 2 , 1.0986 , 41 solutions Answer 326163 by Alan3354(30993)   on 2011-07-28 22:41:17 (Show Source): You can put this solution on YOUR website!duplicate
 Linear-equations/475641: HOW DO I FIND THE ORDERED PAIRS FOR Y=X^2 -41 solutions Answer 326162 by Alan3354(30993)   on 2011-07-28 22:39:59 (Show Source): You can put this solution on YOUR website!Pick values for x and find y.
 Exponential-and-logarithmic-functions/475611: I CAN NOT SOLVE THESE AT ALL ! HELP PLEASE! I REALLY NEED THE ANSWERS, PLEASE AND THANKYOU . log(3)5+log(3)X=log(3)10 log(1/7)X=-1 2ln3x+1=5 log(3)0.1+2log(3)x=log(3)2+log(3)5 log(b)9=2 1/4log(2)16+1/2log(2)49=log(2)x 3^n^-2=27 2^2^n=16^-1 4^3^x=10 2^e^x-5=1 these are the answer choices , only one goes for each . PLEASE CAN YOU SOLVE EACH ONE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE !!!!!! I DO NOT KNOW HOW TO DO IT ON A CALCULATOR , IVE TRIED !!!! THANKYOU SO MUCH ! 10 , -2 , 14 , 3 , 2.4630 , 0.5537 , 3.2147 , 7 , 5 , 2 , 1.0986 , 41 solutions Answer 326156 by Alan3354(30993)   on 2011-07-28 22:03:04 (Show Source): You can put this solution on YOUR website!Don't do them on a calculator, figure them out. Shouldn't you be more interested in knowing how to do them than getting the answers? Maybe that's where you're going wrong. ------------------------------ log(3)5+log(3)X=log(3)10 Adding logs --> multiplying 5x = 10 x = 2 ----------------- log(1/7)X=-1 Is 1/7 the base? ---------------- 2ln3x+1=5 2ln(3x) = 4 ln(3x) = 2 x =~ 2.463 --------------- log(3)0.1+2log(3)x=log(3)2+log(3)5 This is similar to the 1st one. -------------------- log(b)9=2 --> b^2 = 9 b = 3 --------------- 1/4log(2)16+1/2log(2)49=log(2)x Similar to the 1st one. ------------- 3^n^-2=27 It's not clear what this means. Add parentheses. -------------- 2^2^n=16^-1 4^n = 1/16 = 4^-2 n = -2 -------------- 4^3^x=10 64^x = 10 x*log(64) = 1 x = 1/log(64) Use the calculator here. ------------------ 2^e^x-5=1 Ambiguous. What's the exponent of e ?
 Evaluation_Word_Problems/475504: Three consecutive integers is 990. what is their sum? Show work.1 solutions Answer 326065 by Alan3354(30993)   on 2011-07-28 16:33:04 (Show Source): You can put this solution on YOUR website!Three consecutive integers is 990. 990 is only one integer ??? ---------------------- what is their sum? It's "sum" is 990. ------------------- Are you trying to trick us?
 Distributive-associative-commutative-properties/475444: Hello, I need help figuring out this question...If i had a 20ft by40ft yard and i needed fencing. but fencing is \$3.50 per foot how much money would i have o spend? how can i get the answer?1 solutions Answer 326054 by Alan3354(30993)   on 2011-07-28 15:36:19 (Show Source): You can put this solution on YOUR website!Hello, I need help figuring out this question...If i had a 20ft by40ft yard and i needed fencing. but fencing is \$3.50 per foot how much money would i have o spend? how can i get the answer? ---------------- The perimeter (for all 4 sides) = 2L + 2W = 2*20 + 2*40 = 120 ft ----------- 120*3.50 = \$420
 test/475434: How do you solve to get common denominators? How do you reduce fractions?1 solutions Answer 326021 by Alan3354(30993)   on 2011-07-28 12:12:28 (Show Source): You can put this solution on YOUR website!How do you solve to get common denominators? The product of all the denominators will be common. ------------------- How do you reduce fractions? Divide the numerator and denominator by all common factors.
 Probability-and-statistics/475442: Suppose you have 50 diffrent numbers that you play in a lottery every time they draw and the odds of winning are 1 in 5,138,133 whats the odds of one of my numbers winning/1 solutions Answer 326020 by Alan3354(30993)   on 2011-07-28 12:10:31 (Show Source): You can put this solution on YOUR website!Suppose you have 50 diffrent numbers that you play in a lottery every time they draw and the odds of winning are 1 in 5,138,133 whats the odds of one of my numbers winning/ -------------- If you mean your selection of numbers, it's 1 in 5,138,133. I didn't calculate the odds, I took your word for that number.
 Trigonometry-basics/475443: Thank you for taking a look at the system of equations! Please clarify: x=1 or y=1 Please help this is a discussion post my Prof has posted. Thank you1 solutions Answer 326019 by Alan3354(30993)   on 2011-07-28 12:08:09 (Show Source): You can put this solution on YOUR website!What is the question?
 Numbers_Word_Problems/475430: Find two consecutive positive integers such that the sum of their squares is 113.1 solutions Answer 326017 by Alan3354(30993)   on 2011-07-28 11:25:31 (Show Source): You can put this solution on YOUR website!113/2 = 56.5 sqrt(56.5) = about 7.5, the center --> 7 & 8 ----------- You can do it the hard way:
 test/475366: Factor out the greatest common factor from the expression 30x^3 – 5x^2 - 201 solutions Answer 326011 by Alan3354(30993)   on 2011-07-28 10:55:41 (Show Source): You can put this solution on YOUR website!Hint: it's 5
 Points-lines-and-rays/475396: what is the equation of the vertical line passing through the point (-4, 2).1 solutions Answer 326009 by Alan3354(30993)   on 2011-07-28 10:54:09 (Show Source): You can put this solution on YOUR website!Assuming by vertical you mean parallel to the y-axis, x = -4
 Trigonometry-basics/475413: Given Θ = 45° and c = 11 then a = ? Given Θ = 36° and b = 8 cm, what is the approximate value of c? Given Θ = 30 degrees, and b = 2, c = ? If b = 3, and c = 5, cos Θ = ? If b = 3, and c = 5, sin Θ = ? 1 solutions Answer 326007 by Alan3354(30993)   on 2011-07-28 10:50:51 (Show Source): You can put this solution on YOUR website!Not enough info. You have to at least give the location of theta wrt the sides.
 Quadratic_Equations/475399: What point is the intersection of the graphs of x^2 + y^2 = 25 and y = x + 7? 1 solutions Answer 326006 by Alan3354(30993)   on 2011-07-28 10:48:18 (Show Source): You can put this solution on YOUR website!Sub for y in the 1st eqn, solve for x. Repost with your work if you want help.
 Quadratic_Equations/475402: What point is the intersection of the graphs of x2 - y2 = 5 and 2x2 + y2 = 22? 1 solutions Answer 326004 by Alan3354(30993)   on 2011-07-28 10:46:31 (Show Source): You can put this solution on YOUR website!What point is the intersection of the graphs of x2 - y2 = 5 and 2x2 + y2 = 22? ----------- There are 4 of them. x2 - y2 = 5 --> x^2 = y^2 + 5 Sub for y^2 in the other equation and solve for x. It's tedious, but you need the practice more than I do. email your work via the thank you note to check it, or for help.
 Points-lines-and-rays/475400: Whatg is the slope between the points (3, -2) and (8, 4)?1 solutions Answer 325994 by Alan3354(30993)   on 2011-07-28 10:16:57 (Show Source): You can put this solution on YOUR website!Whatg is the slope between the points (3, -2) and (8, 4)? ----------- Slope = diffy/diffx 3, -2 8, +4 ------ Subtract -5, -6 Slope, m = -6/-5 = 6/5
Quadratic_Equations/475389: Problem: Solve using the quadratic formula: 5x(squared)-2x+9=0
x= 2 times the square root of 2(squared)-4(5)(9) over 5(2).
x= 2 times the square root of 4-180 over 10.
x= 2 times +or- the square root of -176 over 10.
x= +or- the square root of -176 over 5.
That is as far as I've gotten in the problem. I know that the answer is supposed to be 1/5 +- 2(square root of 11)/5i. I'm having a difficult time figuring out how to get there from the last step of the problem I listed.
Thank you.
1 solutions

Answer 325993 by Alan3354(30993)   on 2011-07-28 10:14:39 (Show Source):
You can put this solution on YOUR website!
Solve using the quadratic formula:
5x^2-2x+9=0
x= 2 times the square root of 2(squared)-4(5)(9) over 5(2)
-------- It's 2 ± the sqrt .... , not times.
------------
 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 : . The discriminant -176 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -176 is + or - . The solution is , or Here's your graph:

--------------------------
x= 2 times the square root of 4-180 over 10.
x= 2 times +or- the square root of -176 over 10.
x= +or- the square root of -176 over 5.
That is as far as I've gotten in the problem. I know that the answer is supposed to be 1/5 +- 2(square root of 11)/5i. I'm having a difficult time figuring out how to get there from the last step of the problem I listed.

 Complex_Numbers/475390: (√3+i)/(√3-i)1 solutions Answer 325992 by Alan3354(30993)   on 2011-07-28 10:11:36 (Show Source):
 logarithm/475234: I am in college algebra online and we have a study sheet of problems which we need to know how to solve one similar. The one I am having trouble with is (1+r)^4=3.6 I had started by factoring but I was lost at what to do after I factored it out. I have r^4+4r^3+6r^2+4r+1=3.6 then subtracted 1 to get r^4+4r^3+6r^2+4r=2.6 now I am stuck. Thank you in advanced.1 solutions Answer 325854 by Alan3354(30993)   on 2011-07-27 21:24:17 (Show Source): You can put this solution on YOUR website!(1+r)^4=3.6 1 + r = 3.6^(1/4) r = 3.6^(1/4) - 1 r =~ 0.3774493
 Equations/475188: PLEASE solve these problems PLEASE !! log(3)5+log(3)x=log(3)10 log(1/7)x=-1 2ln3x+1=5 log(3)0.1+2log(3)x=log(3)2+log(3)5 log(b)9=2 1/4log(2)16+1/2log(2)49=log(2)2x 3^2m=16^-1 4^ex-5=1 THESE ARE THE ANSWER CHOICES : 2 , 5 , 14 , -2 , 3.2147 , 10 , 7 , 1.0986 , 0.5537 , 4 , 2.4630 , 31 solutions Answer 325838 by Alan3354(30993)   on 2011-07-27 20:14:57 (Show Source): You can put this solution on YOUR website!log(3)5+log(3)x=log(3)10 Adding logs --> multiply 5x = 10 x = 2 ----------------- log(1/7)x=-1 Is that log of (x/7) ? or log or x*log(1/7) ? ------------------- 2ln3x+1=5 2ln(3x) = 4 ln(3x) = 2 3x = e^2 x = e^2/3 ---------- log(3)0.1+2log(3)x=log(3)2+log(3)5 Similar to the 1st one. -------------- log(b)9=2 b^2 = 9 b = 3 --------------- 1/4log(2)16+1/2log(2)49=log(2)2x Similar to the 1st one. ---------------------- 3^2m=16^-1 Is 2 the exponent? or 2m? ---------------- 4^ex-5=1 4^ex = 6x ex = 6^(1/4) x = 6^(1/4)/e
 Expressions-with-variables/475201: please help me solve this equation thank-you 1 solutions Answer 325832 by Alan3354(30993)   on 2011-07-27 19:35:44 (Show Source): You can put this solution on YOUR website!There's no equal sign, nothing to solve.
 Surface-area/475190: The surface area is 42 and seven-eights what is the volume.1 solutions Answer 325820 by Alan3354(30993)   on 2011-07-27 18:53:08 (Show Source): You can put this solution on YOUR website!The surface area is 42 and seven-eights what is the volume. Of what?
 Evaluation_Word_Problems/474955: two sides of a triangle have lengths 5 and 12.what must be true about the lenght of the thrid side 1 solutions Answer 325801 by Alan3354(30993)   on 2011-07-27 16:43:57 (Show Source): You can put this solution on YOUR website!The 3rd side has to be greater than the difference and less than the sum of the other 2 sides. 7 < s < 17
 Polygons/475146: In a regular polygon, each central angle measures 30 degrees. If each side of the regular polygon measures 5.7 in. find the perimeter of the polygon.1 solutions Answer 325799 by Alan3354(30993)   on 2011-07-27 16:40:44 (Show Source): You can put this solution on YOUR website!360/30 = 12 sides ------------ n = # of sides, s = length of sides Area = 3*5.7^2*cot(15) Area =~ 363.76 sq inches
solve
3x^2+13x+14=0
1 solutions

Answer 325782 by Alan3354(30993)   on 2011-07-27 15:48:13 (Show Source):
You can put this solution on YOUR website!
3x^2+13x+14=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=1 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -2, -2.33333333333333. Here's your graph:

 Square-cubic-other-roots/475131: solve for x: (9a^2b)^x(3ab)^4=9^5a^10b^7 I am not sure how to solve for x or even how to isolate it when it is an exponent. Especially when there are so many other variables(a, b) and a huge number (9 raised to the 5th power=59,049). There is just too much going on with this one for me to solve on my own. Thank you in advance! Jessica Ortiz1 solutions Answer 325779 by Alan3354(30993)   on 2011-07-27 15:42:59 (Show Source): You can put this solution on YOUR website! = 81 = 9^2 = = ------------------------------- I shoulda spotted that the RHS is the cube of the LHS. ankor... did. I'll blame it on drugs (headache meds).
 Money_Word_Problems/475133: can someone help me please? in the year 1999 juanita made \$23,272 in the stock market. in the year 2000, ben lost \$15,129 in the stock market. find the difference between these amounts.1 solutions Answer 325775 by Alan3354(30993)   on 2011-07-27 15:21:09 (Show Source): You can put this solution on YOUR website!No. You can't post dozens of problems for someone else to do, unless you show some efforts.
 test/475123: can someone help me plss? write a mathematical expression for each phrase and simplify the expression the quotient of 14 and difference between 7 and - 71 solutions Answer 325774 by Alan3354(30993)   on 2011-07-27 15:20:29 (Show Source): You can put this solution on YOUR website!No. You can't post dozens of problems for someone else to do, unless you show some efforts.
 test/475125: can someone help me plss? write a mathematical expression for each phrase and simplify the expression the sum of eight and quotient of ten and five1 solutions Answer 325773 by Alan3354(30993)   on 2011-07-27 15:19:50 (Show Source): You can put this solution on YOUR website!No. You can't post dozens of problems for someone else to do, unless you show some efforts.
 Expressions-with-variables/475129: can someone plss help me? evaluate the expression if a=2 and b=-3 -4a^2 - 3b1 solutions Answer 325772 by Alan3354(30993)   on 2011-07-27 15:19:21 (Show Source): You can put this solution on YOUR website!No. You can't post dozens of problems for someone else to do, unless you show some efforts.