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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 ____________=0 1 solutions
Answer 266741 by Alan3354(30993) on 2010-11-22 18:05:49 (Show Source):
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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):
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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)
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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.Ӡ 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%
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If it's possible to get the same saying more than once, it's
4/270 =~ 0.148 = 1.48%
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Either way, it's more than 1%
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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):
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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):
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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):
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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):
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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 =28 1 solutions
Answer 266451 by Alan3354(30993) on 2010-11-21 19:04:31 (Show Source):
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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):
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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):
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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=4 1 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)
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Find the slope of the 2 lines:
4x-3y = 8 m1 = 4/3
2x+y = 4 m2 = -2
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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
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Use y = mx + b and the point (2,0)
0 = 2*11.133 + b
b = -22.266
Equation is y = 11.133x - 22.266
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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):
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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)
Thanks 1 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.
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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))
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Use half-angle formula for cot(t/2)
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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
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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
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63p + 45q = 18
40p - 45q = 85
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103p = 103
p = 1
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7p+5q=2
7 + 5q = 2
5q = -5
q = -1
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