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# Recent problems solved by 'Alan3354'

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 Geometry_Word_Problems/375211: The radius of the broadcast area is 10,000 feet. Find the area of this circle to the nearest square foot. Use 3.14 for π (Pi).1 solutions Answer 266826 by Alan3354(30993)   on 2010-11-22 21:04:25 (Show Source):
 Quadratic_Equations/375143: Solve the system of equations by graphing. Then clasify the system. 6u=v= 32 6u=v=401 solutions Answer 266804 by Alan3354(30993)   on 2010-11-22 20:17:16 (Show Source): You can put this solution on YOUR website!Too many equal signs.
 Polynomials-and-rational-expressions/375106: I hope someone can help me with this.... The problem asks, "Write a guadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0 (Solution 4, only solution) The equation is ____________=01 solutions Answer 266741 by Alan3354(30993)   on 2010-11-22 18:05:49 (Show Source):
 Volume/375110: A cardboard box is 60 cm wide, 60 cm tall, and 87 cm long. What is the radius of the largest circular object that can fit through the square face of the box?1 solutions Answer 266740 by Alan3354(30993)   on 2010-11-22 18:04:20 (Show Source): You can put this solution on YOUR website!That's the circle that fits in a 60 by 60 cm square. r = 30 cm
 Miscellaneous_Word_Problems/375077: Two ships leave Honolulu Harbor at the same time. One travels at 15 knots (nautical miles per hour) bearing 150 degrees, and the other travels at 12 knots bearing 200 degrees. How far apart are the two ships after 10 hours?1 solutions Answer 266733 by Alan3354(30993)   on 2010-11-22 17:27:36 (Show Source): You can put this solution on YOUR website!One side of the triangle is 150 nm (15*10), the 2nd is 120 nm (12*10). The included angle is 50º (200 - 150) Use Cosine Law Solve for d (in nm, nautical miles)
 Probability-and-statistics/374935: A controversy arose in 1992 over the Teen Talk Barbie doll, each of which was programmed with four sayings randomly picked from a set of 270 sayings. The controversy was over the saying, “Math class is tough,” which some felt gave a negative message toward girls doing well in math. In an interview with Science, a spokeswoman for Mattel, the makers of Barbie, said that “There’s a less than 1% chance you’re going to get a doll that says math class is tough.”† Is this figure correct? If not, give the correct figure.1 solutions Answer 266708 by Alan3354(30993)   on 2010-11-22 16:12:56 (Show Source): You can put this solution on YOUR website!Assuming the 4 sayings are different (without replacement), the chances are 1/270 + 1/269 + 1/268 + 1/267 =~ 0.0149 = 1.49% ---------------- If it's possible to get the same saying more than once, it's 4/270 =~ 0.148 = 1.48% -------- Either way, it's more than 1%
 real-numbers/374991: i need all information about application on real number1 solutions Answer 266706 by Alan3354(30993)   on 2010-11-22 16:07:24 (Show Source): You can put this solution on YOUR website!You can never be sure you have all the information. There might be more info somewhere.
 Trigonometry-basics/375019: Please help me solve this word problem: In the back stockroom at the Wheel Shop, the number of seats and horns equaled the number of wheels. The number seats and handlebars equaled the number of horns. Twice the number of wheels is equal to three times number of handlebars. Determine the relationship of horns to seats.1 solutions Answer 266704 by Alan3354(30993)   on 2010-11-22 16:06:01 (Show Source): You can put this solution on YOUR website!What sort of help do you need? ---------- Why do you need to tell us it's a "word problem?"
 Expressions-with-variables/375027: using the substitution method what is the answer to this equation? y=2x-1 x+y=81 solutions Answer 266702 by Alan3354(30993)   on 2010-11-22 16:03:16 (Show Source): You can put this solution on YOUR website!Questions have answers. Equations have solutions (sometimes). ---------------- Which equation?
 Expressions-with-variables/374673: Solve the equation. (Use a comma to separate answers as needed.)1 solutions Answer 266698 by Alan3354(30993)   on 2010-11-22 16:00:56 (Show Source): You can put this solution on YOUR website!Factor out x, x = 0 That leaves a quadratic. Separate answers any way you like.
 Miscellaneous_Word_Problems/374973: Chi has a big pile of nickels. He says, Even if I use 100 of these nickels, I'll still have 95% of my original pile. How many nickels does Chi have? from a frustrated 7th grade Algebra parent!1 solutions Answer 266695 by Alan3354(30993)   on 2010-11-22 15:52:33 (Show Source): You can put this solution on YOUR website!If he has 95% left, then the 100 nickels is 5%. 20 nickels is 1% 20*100 = 2000 nickels
 Functions/374994: y is 21 when x is 31 solutions Answer 266694 by Alan3354(30993)   on 2010-11-22 15:49:15 (Show Source): You can put this solution on YOUR website!Thx for sharing. Do you have a question?
 Square-cubic-other-roots/375000: x over the square root of 27x to the third power1 solutions Answer 266693 by Alan3354(30993)   on 2010-11-22 15:47:46 (Show Source): You can put this solution on YOUR website! ? ? ? Is it one of those?
 absolute-value/374703: I'm working on factoring and multipliers and I 'm having trouble figuring out how they come up with the answer to this problem. 3x7x133x 1911 That is a space for the answer. I need help on how to find the factors for this problem. Can you please help me? Thank you Shirley 1 solutions Answer 266486 by Alan3354(30993)   on 2010-11-21 22:09:10 (Show Source): You can put this solution on YOUR website!Are those multiplied?
 Triangles/374534: Okay. I need some help. How do know how to find the altitude of a triangle??? My problem gives this information: the altitude is (4x-6), and the base is divided into 2 formulas. One side is (x plus 7) and the other is (2x-15). Please help!1 solutions Answer 266453 by Alan3354(30993)   on 2010-11-21 19:07:11 (Show Source): You can put this solution on YOUR website!It's 4x+6, you said that.
 Polynomials-and-rational-expressions/374529: if the given polynomial has a special factorization, factor the polynomial. 9y4 + 24x2y2 + 16x41 solutions Answer 266452 by Alan3354(30993)   on 2010-11-21 19:06:05 (Show Source): You can put this solution on YOUR website!Hint: and
 Equations/374531: Hi there could you help me with a problem? I would appreciate your help. I must solve for X. It seems easy I think the answer would be 12 but I need to know the steps. Thank you. 2x + 4 =281 solutions Answer 266451 by Alan3354(30993)   on 2010-11-21 19:04:31 (Show Source): You can put this solution on YOUR website!2x + 4 =28 Subtract 4 2x = 24 Divide by 2 x = 12
 Expressions-with-variables/374549: HELP! Any Math Wiz out there? Fractions get me everytime! solve for t showing your work. 2/3+1/t=4/5 1 solutions Answer 266450 by Alan3354(30993)   on 2010-11-21 19:03:27 (Show Source): You can put this solution on YOUR website!2/3+1/t=4/5 Multiply thru by 15t 10t + 15 = 12t 2t = 15 t = 7.5 --------- Or, 1/t = (4/5) - 2/3) = 12/15 - 10/15 1/t = 2/15 t = 15/2
 Systems-of-equations/374552: solve by the substitution method. {s - 2t =1} {-2s + 4t = -2} its all one problem, on my paper theres only one of thoes brackets,both equations are inside it. show work please and thank you.1 solutions Answer 266449 by Alan3354(30993)   on 2010-11-21 19:00:44 (Show Source): You can put this solution on YOUR website!The 2nd eqn is -2 times the 1st --> dependent, infinite # of solutions, no unique solution.
 Rectangles/374580: how do i find the perimeter of a triangle when the lenght is 3x+5 and its width is 2x1 solutions Answer 266443 by Alan3354(30993)   on 2010-11-21 18:51:57 (Show Source): You can put this solution on YOUR website!That's not enough info
 Linear-systems/374564: How would I express 5x-2=6y in standard form? I am trying to help my 13 year old 7th grader who is taking 9th grade algebra I! I LOVE math, but "Mom doesn't know what she is talking about!" 1 solutions Answer 266433 by Alan3354(30993)   on 2010-11-21 18:29:28 (Show Source): You can put this solution on YOUR website!Standard form is Ax + By = C, all integers 5x-2 = 6y Add2 5x = 6y + 2 Subtract 6y 5x - 6y = 2
 Miscellaneous_Word_Problems/374054: Find the equation of the bisector of the pair of acute angles formed by the lines 4x-3y= 8 and 2x+y=41 solutions Answer 266411 by Alan3354(30993)   on 2010-11-21 16:21:28 (Show Source): You can put this solution on YOUR website!Find the intersection of the 2 lines, = (2,0) ----------- Find the slope of the 2 lines: 4x-3y = 8 m1 = 4/3 2x+y = 4 m2 = -2 ------------- The slope is the arctan of the angle the line makes with the x-axis arctan(4/3) =~ 53.13º arctan(-2) =~ -63.435º The angle between them is 116.565º (in Quad 1), so the acute angles are 83.435º The bisector makes and angle of 53.15 + (83.435)/2 = 84.8675º with the x-axis Its slope = tan(84.8675) = 11.133 --------------------- Use y = mx + b and the point (2,0) 0 = 2*11.133 + b b = -22.266 Equation is y = 11.133x - 22.266
Solve.
15x^4-11x^2+2=0
1 solutions

Answer 266402 by Alan3354(30993)   on 2010-11-21 15:45:16 (Show Source):
You can put this solution on YOUR website!
 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: 0.4, 0.333333333333333. Here's your graph:

 Square-cubic-other-roots/374296: How do I solve the problem the fifth square root of -1/243?1 solutions Answer 266372 by Alan3354(30993)   on 2010-11-21 09:27:34 (Show Source): You can put this solution on YOUR website!Hint:
 Problems-with-consecutive-odd-even-integers/374297: if the sum of five consecutive positive integers is 2005,then the largest ofthese numbers a)401 b)403 c)405 d)20011 solutions Answer 266371 by Alan3354(30993)   on 2010-11-21 09:26:48 (Show Source): You can put this solution on YOUR website!2005/5 = 401, the middle number --> 399, 400, 401, 402, 403
 Linear-equations/374144: Please help me with this! Find the slope-intercept equation of the line that has the given charecteristics. Slope 3.2 and y-intercept (0,-4) The slope-intercept equation y=1 solutions Answer 266252 by Alan3354(30993)   on 2010-11-20 19:19:05 (Show Source): You can put this solution on YOUR website!Hint: look up y = mx + b, the slope-intercept form
 Travel_Word_Problems/374103: Driving 8 miles in 25 minutes how fast is your average speed1 solutions Answer 266250 by Alan3354(30993)   on 2010-11-20 19:17:28 (Show Source): You can put this solution on YOUR website!8/25 = 0.32 miles per minute
 Functions/373946: Hi Please can somebody help with this problem i) The variables x and y are given in terms of the parameter t as x = 3t(1 + t^3) and y = 3t^2(1 + t^3). Prove that dy/dx = t(2 + 5t^3)/1 + 4t^3 ii) A cycloid is a curve traced out by a point on the rim of a wheel as it rolls along the ground. Its curve may be given parametrically by x = a(t - sin t) and y = a(1 - cos t), where a is a constant. Show that dy/dx = cot(t/2) Thanks1 solutions Answer 266189 by Alan3354(30993)   on 2010-11-20 13:43:40 (Show Source): You can put this solution on YOUR website!i) The variables x and y are given in terms of the parameter t as x = 3t(1 + t^3) and y = 3t^2(1 + t^3). Prove that dy/dx = t(2 + 5t^3)/1 + 4t^3 Find dy/dt and dx/dt Divide dy/dt by dx/dt, you'll see that's what it is. ---------------- ii) A cycloid is a curve traced out by a point on the rim of a wheel as it rolls along the ground. Its curve may be given parametrically by x = a(t - sin t) and y = a(1 - cos t), where a is a constant. Show that dy/dx = cot(t/2) dy/dt = asin(t) dx/dt = a(1 - cos(t)) dy/dx = sin(t)/(1 - cos(t)) ------------------------- Use half-angle formula for cot(t/2)
 test/374016: Evaluate the expression without using a calculator. log9(9^12) a.21 b.9 c.12 d.log9121 solutions Answer 266188 by Alan3354(30993)   on 2010-11-20 13:25:19 (Show Source): You can put this solution on YOUR website!12
 test/374014: Problem solving using a system of two equations1 solutions Answer 266187 by Alan3354(30993)   on 2010-11-20 13:23:28 (Show Source): You can put this solution on YOUR website!What about it?
 Equations/373980: Soluve using the multiplication principle first. Then use the elimination method: 7p+5q=2 8p-9q=17 I know a common number needs to be found but how do I choose which one? Thanks!1 solutions Answer 266167 by Alan3354(30993)   on 2010-11-20 10:39:14 (Show Source): You can put this solution on YOUR website!7p+5q=2 8p-9q=17 --------- You can eliminate either p or q. In this case, it's 7 & 8 or 5 & 9. I'll do 5 & 9 7p+5q=2 --> 63p + 45q = 18 8p-9q=17--> 40p - 45q = 85 ----------- 63p + 45q = 18 40p - 45q = 85 -------------- Add 103p = 103 p = 1 ------ 7p+5q=2 7 + 5q = 2 5q = -5 q = -1