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# Recent problems solved by 'Alan3354'

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 Rectangles/427025: A rectangular sheet of aluminum foil is 50cm long and20cm wide, and weighs 5.4 grams. Find the thickness of the aluminum foil in cm. 1 solutions Answer 296993 by Alan3354(30993)   on 2011-03-25 10:37:19 (Show Source): You can put this solution on YOUR website!A rectangular sheet of aluminum foil is 50cm long and20cm wide, and weighs 5.4 grams. Find the thickness of the aluminum foil in cm. ---------------- Its volume = 50*20*t (t = thickness) Using 2.7 gm/cc for the density of Al, 5.4 = 1000t*2.7 t = 5.4/2.700E3 cm t = 2E-3 cm or 0.002 cm = 0.02 mm = 20 microns
 Evaluation_Word_Problems/427003: which of the following graph is the graph of the rational function y=4/2x-3?1 solutions Answer 296992 by Alan3354(30993)   on 2011-03-25 10:32:48 (Show Source): You can put this solution on YOUR website!No graphs are shown ?
 Functions/426933: A little help please?! One of the following points, (1, 1) (5, 2) (2, 4) maximizes the objective function z = -2x +5y, what is the maximum value of z? Thank you!1 solutions Answer 296902 by Alan3354(30993)   on 2011-03-24 22:52:12 (Show Source): You can put this solution on YOUR website!One of the following points, (1, 1) (5, 2) (2, 4) maximizes the objective function z = -2x +5y, what is the maximum value of z? ----------------- Sub and find out: @(1,1) z = -2 + 5 = 3 @(5,2) z = -10 + 10 = 0 @(2,4) z = -4 + 20 = 16
 logarithm/426925: please help me solve this question: log 5sqrt (x/y)1 solutions Answer 296894 by Alan3354(30993)   on 2011-03-24 22:21:42 (Show Source): You can put this solution on YOUR website!What is the question?
 Quadratic_Equations/426927: what points go into 4x-3y=01 solutions Answer 296893 by Alan3354(30993)   on 2011-03-24 22:20:24 (Show Source): You can put this solution on YOUR website!an infinite number. (99,132), (-6,-8), (0,0) and a lot more
 Trigonometry-basics/426916: What is the tangent of 100 degrees and 80 degrees in terms of pi1 solutions Answer 296877 by Alan3354(30993)   on 2011-03-24 21:40:33 (Show Source): You can put this solution on YOUR website!tan(100) =~ -5.671 It's a ratio, why would it be in terms of pi?
 Surface-area/426899: Find the diameter of a sphere that has a surface area of 100 square inches1 solutions Answer 296866 by Alan3354(30993)   on 2011-03-24 20:58:34 (Show Source): You can put this solution on YOUR website!Find the diameter of a sphere that has a surface area of 100 square inches --------------- r =~ 2.821 in d = 5.642 in
 test/426897: Need a lot of help please willing to pay 1 solutions Answer 296862 by Alan3354(30993)   on 2011-03-24 20:52:00 (Show Source): You can put this solution on YOUR website!Help with what? Pls repost, I don't want to get into a situation where I'm obligated.
 Linear-equations/426893: Find the slope of the line satisfying the given conditions. through (1,-2) and (-9,-4)1 solutions Answer 296860 by Alan3354(30993)   on 2011-03-24 20:50:14 (Show Source): You can put this solution on YOUR website!Using determinants: |+x +y +1| |+1 -2 +1| = 0 |-9 -4 +1| --------- x*(-2+4) - y*(1+9) + (-4-18) = 0 2x - 10y = 22 x - 5y = 11
 Rational-functions/426880: f(x)=4x-51 solutions Answer 296858 by Alan3354(30993)   on 2011-03-24 20:47:46 (Show Source): You can put this solution on YOUR website!and? Do you have a question?
 Triangles/426884: The angles of a triangle have consecutive integer measurements. Find the measurements of each.1 solutions Answer 296856 by Alan3354(30993)   on 2011-03-24 20:47:00 (Show Source): You can put this solution on YOUR website!180/3 = 60, the middle value --> 59, 60, 61 degs
 Equations/426850: Please help me because I am really struggling with this concept! Thank you! 4/5y + y-2/y = -1/51 solutions Answer 296851 by Alan3354(30993)   on 2011-03-24 20:32:31 (Show Source): You can put this solution on YOUR website!Please help me because I am really struggling with this concept! Thank you! 4/5y + y-2/y = -1/5 ------------------- If you mean (y-2)/y for the 2nd term: 4/5y + y-2/y = -1/5 Multiply thru by 5y 4 + 5(y-2) = -y 4 + 5y-10 = -y 4 + 6y = 10 6y = 6 y = 1
 Functions/426825: for the function f(x)=-ln(x+2) if x = -1.9,-1,1,5?1 solutions Answer 296840 by Alan3354(30993)   on 2011-03-24 19:44:21 (Show Source): You can put this solution on YOUR website!for the function f(x)=-ln(x+2) if x = -1.9,-1,1,5? --------------- Sub the values for x. f(-1.9 - -ln(-1.9 + 2) = ln(0.1) Use a calculator ln(0.1) =~ -2.302585 -ln = +2.302585 --------------- Do the same for the other 2 values
 Distributive-associative-commutative-properties/426828: x+5 + 5x+7 ___ ____ 9 91 solutions Answer 296837 by Alan3354(30993)   on 2011-03-24 19:41:47 (Show Source):
 Inequalities/426819: What would be the solutions to the following inequality 3x-4y<=15 Thank you in advance!! :)1 solutions Answer 296835 by Alan3354(30993)   on 2011-03-24 19:39:29 (Show Source): You can put this solution on YOUR website!There are an infinite number. Graph the equation 3x-4y=15. It's a line. All the area below and to the left of the line, and the line, fit the inequality. ---------------- dl the FREE graph software at http://www.padowan.dk It will make things clear.
 logarithm/426821: condense to the logarithm of a single expression ln x-2 ln y- ln z1 solutions Answer 296833 by Alan3354(30993)   on 2011-03-24 19:35:08 (Show Source):
 test/426720: Is 3 times the square root of 7 divided by 7 in simplest form?1 solutions Answer 296826 by Alan3354(30993)   on 2011-03-24 18:32:01 (Show Source): You can put this solution on YOUR website! Yes, it is.
 expressions/426766: How to factor 5a^2-7ab-6b^21 solutions Answer 296823 by Alan3354(30993)   on 2011-03-24 18:30:01 (Show Source): You can put this solution on YOUR website!How to factor 5a^2-7ab-6b^2
 Travel_Word_Problems/426673: A barge moves at 7kmh in still waters. If it travels 45 km up stream and 45 km downstream in a total of 14 hours. What is the speed of the current?1 solutions Answer 296806 by Alan3354(30993)   on 2011-03-24 16:49:34 (Show Source): You can put this solution on YOUR website!A barge moves at 7kmh in still waters. If it travels 45 km up stream and 45 km downstream in a total of 14 hours. What is the speed of the current? -------------------- c = current 45/(7+c) + 45/(7-c) = 14 Can you finish it?
 Linear-equations/426686: please help me solve this problem! Find the missing coordinate in the given solution for 5x-6y=51 solutions Answer 296799 by Alan3354(30993)   on 2011-03-24 16:15:28 (Show Source): You can put this solution on YOUR website!Not sure what you mean. There's no z, tho.
1.x^2+10=-25
2.2x^2-5=-3x
1 solutions

Answer 296796 by Alan3354(30993)   on 2011-03-24 16:07:32 (Show Source):
You can put this solution on YOUR website!
Solve each equation using the quadratic formula.
1.x^2+10=-25

 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 -140 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 -140 is + or - . The solution is , or Here's your graph:

2.2x^2-5=-3x

 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=49 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 1, -2.5. Here's your graph:

 Quadratic-relations-and-conic-sections/426680: What is the conic reaction represented by each of the following: 1 solutions Answer 296792 by Alan3354(30993)   on 2011-03-24 15:46:28 (Show Source): You can put this solution on YOUR website!Ellipse, hyperbola and parabola in that order.
 Word_Problems_With_Coins/426675: if i have pennies and nickles, and together they add up to 43 cents, what would be two equations i could use to find out the number of pennies and nickels i have?1 solutions Answer 296791 by Alan3354(30993)   on 2011-03-24 15:45:26 (Show Source): You can put this solution on YOUR website!5n + p = 43
 Square-cubic-other-roots/426671: devide the cubic root of 2x^2y from the cubic root of 250x^7y^31 solutions Answer 296781 by Alan3354(30993)   on 2011-03-24 15:20:14 (Show Source): You can put this solution on YOUR website!What does "divide from" mean?
 Angles/426646: Give the domain and range of the relation y=x^2+5 show your work1 solutions Answer 296779 by Alan3354(30993)   on 2011-03-24 15:11:20 (Show Source): You can put this solution on YOUR website!The domain is all real numbers. The range is from 5 to + infinity. There's no work to show.
 Pythagorean-theorem/426654: How can I solve the pythagorean theorem if a=2x b=x and c= 4 sqrt (5)1 solutions Answer 296778 by Alan3354(30993)   on 2011-03-24 15:05:23 (Show Source): You can put this solution on YOUR website!How can I solve the pythagorean theorem if a=2x b=x and c= 4 sqrt (5) ------------- x = 4 ------------- Actually, it's solving for x, not solving the Pythagorean Theorem.
 Numbers_Word_Problems/426643: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions Zeros of -3,2,9 and P(1)=32 show your work 1 solutions Answer 296769 by Alan3354(30993)   on 2011-03-24 14:14:16 (Show Source): You can put this solution on YOUR website!Find a polynomial of degree 3 with real coefficients that satisfies the given conditions Zeros of -3,2,9 and P(1)=32 ------------------- The zeroes of a, b & c means that (x-a), (x-b) & (x-c) are factors. P(x) = (x+3)*(x-2)*(x-9) Multiply that out, and that's it. P(1) does = 32
 Graphs/426638: Write the slope-intercept equation for the line with slope 4/5 and y-intercept (0, -1) and graph the line1 solutions Answer 296764 by Alan3354(30993)   on 2011-03-24 14:01:56 (Show Source): You can put this solution on YOUR website!It's y = mx + b ---------- y = (4/5)x - 1 To graph it, get the FREE software at http://www.padowan.dk
 Geometry_Word_Problems/426591: The diagonal length of a television screen is 20 in. If the width is 16 in. how high is it?1 solutions Answer 296732 by Alan3354(30993)   on 2011-03-24 12:15:54 (Show Source):
 Proportions/426586: HI I NEED HELP WITH A QUESTION I DON;T KNOW TO REACH THE CONCLSUION I KNOW NOTHING ABOUT PROPORTIONS THE QUESTION IS SOLVE THE X IN THE FOLLOWING 3:80::X:150.1 solutions Answer 296729 by Alan3354(30993)   on 2011-03-24 12:05:19 (Show Source): You can put this solution on YOUR website!3:80::X:150 ----------- 3/80 = x/150 Cross multiply 80x = 450 x = 45/8 ------------- You can also multiply and equate "means and extremes" in the ratio. Means are the 2 inner terms, extremes are the 2 outer. 80*x = 3*150 same thing
 Miscellaneous_Word_Problems/426580: The sum of the squares of two numbers is 74 and the difference of their squares is 24. Find the two numbers. 1 solutions Answer 296728 by Alan3354(30993)   on 2011-03-24 12:02:01 (Show Source): You can put this solution on YOUR website!Since the sum is even but not divisible by 4, the numbers are odd. The sum is 74, so they're single digit numbers. The difference is small, so they're consecutive odd numbers. ---------------------- 24/4 = 6, the middle --> 5 & 7 -------------- The hard way: --------------------- Add x = 7 ------ y = 5 Or -5 & -7