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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30939 problems
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 Equations/433696: Express the following equation in slope-intercept form: 9x + 10y = 30 1 solutions Answer 300661 by Alan3354(30959)   on 2011-04-10 11:55:43 (Show Source): You can put this solution on YOUR website!That means solve for y.
 Volume/433704: A pile of sand is cone shaped. if the radius of the base is 8 feet and the altitude is 9 feet 6 inches how many cubic feet of sand is in the pile?1 solutions Answer 300660 by Alan3354(30959)   on 2011-04-10 11:55:01 (Show Source): You can put this solution on YOUR website! r = 8, h = 9.5
 Expressions-with-variables/433708: 2r - 3s =-3 3r+2s=28 solve by the elimination method1 solutions Answer 300659 by Alan3354(30959)   on 2011-04-10 11:54:04 (Show Source): You can put this solution on YOUR website!2r - 3s = -3 3r + 2s = 28 -------------- Multiply by whatever it takes to get the coefficients of either x or y to match. 4r - 6s = -6 Eqn 1 x 2 9r + 6s = 84 Eqn 2 x 3 ------------- Add 13r = 78 r = 6 ----- Sub for r in either equation to find s.
 Travel_Word_Problems/433683: if a boy grown 5 inches he will one half as tall as his sister is 68 tall1 solutions Answer 300657 by Alan3354(30959)   on 2011-04-10 11:51:22 (Show Source): You can put this solution on YOUR website!Thx for telling us that. Do you have a question?
Quadratic_Equations/433700: I need your help on this quadratic formula question. You have to solve it using the formula. the problem is 10x squared-5x+5=-25x it has to be set equal to zero beforing solving. I am getting a little stuck half way through, i would really appreciate your help.
1 solutions

Answer 300655 by Alan3354(30959)   on 2011-04-10 11:46:16 (Show Source):
You can put this solution on YOUR website!

*** It's not required to reduce it, but it can help in some cases.
 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=8 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -0.292893218813452, -1.70710678118655. Here's your graph:

-----------

 Numeric_Fractions/433669: 27/17 is equal to?1 solutions Answer 300637 by Alan3354(30959)   on 2011-04-10 09:42:10 (Show Source): You can put this solution on YOUR website!=~ 1.5882352...
 Finance/433576: (1.12x)1.15=74.06 What is x? How do i calculate "x" in this case? 1 solutions Answer 300636 by Alan3354(30959)   on 2011-04-10 09:39:53 (Show Source): You can put this solution on YOUR website!(1.12x)1.15=74.06 What is x? How do i calculate "x" in this case? -------------------- It's not clear what your equation is. If it's 1.12x*1.15 = 74.06 x = 74.06/(1.12*1.15) x = 57.5
 Linear-equations/433623: Without solving the equation or factoring determine the solutions to the equation, x^2+ 4x-5 =01 solutions Answer 300604 by Alan3354(30959)   on 2011-04-10 04:47:25 (Show Source): You can put this solution on YOUR website!Determining the solutions is solving.
 Quadratic-relations-and-conic-sections/433506: if I only know the vertex of a parabola is (-2,-5), is there a way to figure out an equation for the parabola? How? If I only know the zeros of a parabola are (-6,0) and (15,0) is there a way to figure out an equation for the parabola? How?1 solutions Answer 300500 by Alan3354(30959)   on 2011-04-09 16:57:34 (Show Source): You can put this solution on YOUR website!if I only know the vertex of a parabola is (-2,-5), is there a way to figure out an equation for the parabola? How? No, an infinite number of parabolas can pass thru that vertex. ----------------------- If I only know the zeros of a parabola are (-6,0) and (15,0) is there a way to figure out an equation for the parabola? How? The 2 zeros are -6 and 15. ---> (x+6)*(x-15) = 0 is the equation.
 Polynomials-and-rational-expressions/433501: how do i write a polynomial in standard form. For example 2x1 solutions Answer 300498 by Alan3354(30959)   on 2011-04-09 16:47:58 (Show Source): You can put this solution on YOUR website!2x is not a polynomial is ------- "Poly" means many, 1 is not many, it's a monomial. x + y is a binomial, not that many. is a polynomial.
 logarithm/433502: Using the change-of-base formula approximate (round answer to five decimal places): 1 solutions Answer 300497 by Alan3354(30959)   on 2011-04-09 16:44:25 (Show Source): You can put this solution on YOUR website!= =~ 1.77124 ------------- also = log(7)/log(3)
 Trigonometry-basics/433403: sketch the graph of y=5sin (x-pi/3) and y=7cos(x+pi/6)1 solutions Answer 300495 by Alan3354(30959)   on 2011-04-09 16:28:25 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk ---------- Use Insert Paste the functions ----------- Click Axes, Settings Change to Radians
 Quadratic_Equations/433461: I want to know how to factor 7m+7n+281 solutions Answer 300494 by Alan3354(30959)   on 2011-04-09 16:24:59 (Show Source): You can put this solution on YOUR website!Find a factor that's common to all 3 terms.
 Equations/433485: What is the solution b=a+k solve for a1 solutions Answer 300492 by Alan3354(30959)   on 2011-04-09 16:23:40 (Show Source): You can put this solution on YOUR website!Subtract k from both sides
 Rectangles/433421: a rancher wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have?1 solutions Answer 300461 by Alan3354(30959)   on 2011-04-09 13:56:05 (Show Source): You can put this solution on YOUR website!400 = 2*(L + W) L + W = 200 L*W = 6400 --> 160 by 40
 Expressions-with-variables/433446: Could someone please show me step by step how to find the given function h(w)=9w+3 in each of the following h(6),h(-10),h(6.6)1 solutions Answer 300460 by Alan3354(30959)   on 2011-04-09 13:54:39 (Show Source): You can put this solution on YOUR website!find the given function h(w)=9w+3 in each of the following h(6),h(-10),h(6.6) ------ Sub the value for w h(6) = 9*6 = 3 = 57 h(-10) = 9*-10 = 3 = -87 Do the same for 6.6
 Surface-area/433435: what is the lateral surface area of a right hexagonal prism whose base is a regular hexagon with sides measuring 8 inches long and altitude measuring 6 inches tall1 solutions Answer 300458 by Alan3354(30959)   on 2011-04-09 13:51:10 (Show Source): You can put this solution on YOUR website!It's the perimeter of the hexagon times the height P = 6*8 Area = 6*8*6 = 288 sq inches
 Travel_Word_Problems/433408: a car travels at 60 m/s for 8 seconds calculate the distance it travels 1 solutions Answer 300456 by Alan3354(30959)   on 2011-04-09 13:48:23 (Show Source): You can put this solution on YOUR website!60*8 = 480 meters
 Distributive-associative-commutative-properties/433442: Can you please show me the steps on factoring the following: x^2+3xy-10y2. Thank you.1 solutions Answer 300454 by Alan3354(30959)   on 2011-04-09 13:40:08 (Show Source): You can put this solution on YOUR website!Look at the 10 first. It can be 1*10 or 2*5 You can get 3 from the 2 & 5.
 Quadratic-relations-and-conic-sections/433444: I forgot how to graph this type of equation: ((x-3)^2)/49 + ((y+5)^2)/49 =11 solutions Answer 300452 by Alan3354(30959)   on 2011-04-09 13:37:59 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk Ues F6 to enter it as is
 test/433443: How does (sec + tan)(sec - tan)=1 come out to be sec^2 - tan^2 =1? Is it the pythagorean identities?1 solutions Answer 300451 by Alan3354(30959)   on 2011-04-09 13:31:43 (Show Source): You can put this solution on YOUR website!Change it all to sines and cosines.
 Volume/433412: Wha is the volume of this cylinder to the nearest cubic unit? The diameter is 2 meters and the height is 7.5 meters?1 solutions Answer 300448 by Alan3354(30959)   on 2011-04-09 12:52:10 (Show Source): You can put this solution on YOUR website! r = 1, h = 7.5
 test/433434: How to establish this identity? Cos(theta)(tan(theta) + cot(theta)) = csc(theta) Which side do I work on the left? And how do I simplify it? 1 solutions Answer 300447 by Alan3354(30959)   on 2011-04-09 12:50:24 (Show Source): You can put this solution on YOUR website!How to establish this identity? Cos(theta)(tan(theta) + cot(theta)) = csc(theta) ------------- You can work on either or both sides. Cos(theta)(tan(theta) + cot(theta)) = csc(theta) Change it all to sines & cosines Cos*(sin/cos + cos/sin) = 1/sin sin + cos^2/sin = 1/sin Multiply by sine sin^2 + cos^2 = 1
 test/433358: How to do this problem: it says to multiply and simplify. (Sin(theta) + cos(theta))(sin(theta) + cos(theta)) -1/sin(theta)cos(theta)1 solutions Answer 300425 by Alan3354(30959)   on 2011-04-09 09:03:49 (Show Source): You can put this solution on YOUR website!(Sin(theta) + cos(theta))(sin(theta) + cos(theta)) -1/sin(theta)cos(theta) = ((sin^2 + 2sin*cos + cos^2) - 1)/sin*cos = 2sin*cos/sin*cos = 2
 Linear-equations/433321: Graph the solutions of the system of linear inequalities. y+2x>=0 6x-7y<=-14 y<=7 1 solutions Answer 300418 by Alan3354(30959)   on 2011-04-09 08:30:08 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk ------------- Use F6 to enter relationships
 percentage/433367: A gold chain is sold for \$ 635 at a gain of 27 % on the sale price. Find the profit.1 solutions Answer 300417 by Alan3354(30959)   on 2011-04-09 08:27:06 (Show Source): You can put this solution on YOUR website!\$635 = 1.27*W (W = wholesale) W = 635/1.27 = \$500 Profit = 635 - 500 = \$135
 Linear-equations/433344: Demand: N= -5p+770, Supply: N= 2.3p P= the price in dollars. Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week? A.) \$105.48; 252 B.) \$105.48; 243 C.) \$332.61; 765 D.) \$285.19; 656 Determine if the given ordered triple is a solution of the system. (-5, 5, 2) x-y+z=-2 x+y+z=2 x+y-z=121 solutions Answer 300414 by Alan3354(30959)   on 2011-04-09 08:25:33 (Show Source): You can put this solution on YOUR website!Determine if the given ordered triple is a solution of the system. (-5, 5, 2) x-y+z=-2 -5 -5 + 2 = -8 --> no ----------- x+y+z=2 x+y-z=12
 Trigonometry-basics/433309: sec^4x – sec^2x = tan^4x + tan^2x1 solutions Answer 300413 by Alan3354(30959)   on 2011-04-09 08:15:32 (Show Source): You can put this solution on YOUR website!sec^4x – sec^2x = tan^4x + tan^2x Multiply by cos^4 1 - cos^2 = sin^4 +sin^2cos^2 sin^2 = sin^4 + sin^2cos^2 Divide by sin^2 1 = sin^2 + cos^2 ----------------- Eliminate any terms that are not sines and cosines. Change everything that's left to sines and cosines. ----------------- Having someone do these for you won't help.
 Trigonometry-basics/433310: verify identinty sec^4x – (tan^4x + sec^2x) = sec^2x · sin^2x 1 solutions Answer 300407 by Alan3354(30959)   on 2011-04-09 07:04:26 (Show Source): You can put this solution on YOUR website!sec^4x – (tan^4x + sec^2x) = sec^2x · sin^2x sec^4x – tan^4x - sec^2x) = sec^2x*sin^2x = sin^2/cos^2 Multiply thru by cos^4 and change to sines & cosines 1 - sin^4 - cos^2 = sin^2cos^2 sin^2 - sin^4 = sin^2cos^2 Divide by sin^2 1 - sin^2 = cos^2 -------- Always change everything to sines and cosines.
 Polynomials-and-rational-expressions/433297: f(x)= x cubed-x squared+ x-1 find the zeros1 solutions Answer 300406 by Alan3354(30959)   on 2011-04-09 06:56:48 (Show Source): You can put this solution on YOUR website! Factor by grouping x = 1, i, -i
 Polynomials-and-rational-expressions/433295: Rewrite the following expressions with positive exponents (45xy)^-4/9 Thank you1 solutions Answer 300405 by Alan3354(30959)   on 2011-04-09 06:48:33 (Show Source): You can put this solution on YOUR website! = ------------- The exponent in the numerator is 5/9.