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xz_007 [3.2K]
2 years ago
14

( show your work ) The banner that football players run through is 18 feet high and 30 feet long. How much paper is needed to

Mathematics
1 answer:
Virty [35]2 years ago
3 0

Answer:

540 square feet worth of paper

Step-by-step explanation:

This is an area problem. Area is length multiplied by width. The provided length is 30 feet and the provided width is 18 feet. When they are multiplied, you get 540 square feet. Note that the height is the width in this context because if you laid the banner down, 18 would be the width. The banner is being held up, so the 18 feet is called the height.

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The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
Read 2 more answers
Evaluate the triple integral. 5x dv, where e is bounded by the paraboloid x = 7y2 + 7z2 and the plane x = 7. e
Mrac [35]

Convert to cylindrical coordinates:

x=x

y=r\cos\theta

z=r\sin\theta

Then E is the set of points (r,\theta,x) such that 0\le r\le1, 0\le\theta\le2\pi, and 7y^2+7z^2\le x\le7 or 7r^2\le x\le7.

Now

\displaystyle\iiint_E5x\,\mathrm dV=5\int_0^{2\pi}\int_0^1\int_{7r^2}^7xr\,\mathrm dx\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{245\pi}3}

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3 years ago
What is bigger 1/8 or 12%
Mnenie [13.5K]
1/8 is 12.5% so it is bigger than 12%
6 0
3 years ago
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Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. The height, h(t), in meters (as it
arsen [322]
176 meters

Stefano is at +10 elevation while the hiker is at -166.4 elevation. The difference would be 10 - (-166.4) = 10 + 166.4 = 176.4 or approximately 176 meters
7 0
3 years ago
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Can you please help me
Slav-nsk [51]

Answer:

F (I think)

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2/3 is 0.66 (forever), 65%, 5/8 is .625, and 0.6 (0.600)

Hopefully, this helps :D

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