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3 years ago

Please answer if correct you get brainiest

Mathematics

1 answer:

il63 [147K]3 years ago

8 0

Answer:

1. A.) Blocks a river and creates a large lake

2. D.) More plant-eating animals would survive

3. D.) Shorter time for plants to produce seeds.

4. B.) Raccoons found more food living near people

5. D.) Make it difficult for animals to move through the forest.

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For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitt

Alexeev081 [22]

C = 5h + 3
C = 5(5) + 3
She will make $28

4 0

4 years ago

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256

Mkey [24]

Using the shell method, the volume integral would be

$\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx$

That is, each shell has a radius of x (the distance from a given x in the interval [0, 2] to the axis of revolution, x = 0) and a height equal to the difference between the boundary curves y = x ⁸ and y = 256. Each shell contributes an infinitesimal volume of 2π (radius) (height) (thickness), so the total volume of the overall solid would be obtained by integrating over [0, 2].

The volume itself would be

$\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx = 2\pi \left(128x^2-\frac1{10}x^{10}\right)\bigg|_{x=0}^{x=2} = \boxed{\frac{4096\pi}5}$

Using the disk method, the integral for volume would be

$\displaystyle \pi \int_0^{256} \left(\sqrt[8]{y}\right)^2\,\mathrm dy = \pi \int_0^{256} \sqrt[4]{y}\,\mathrm dy$

where each disk would have a radius of x = ⁸√y (which comes from solving y = x ⁸ for x) and an infinitesimal height, such that each disk contributes an infinitesimal volume of π (radius)² (height). You would end up with the same volume, 4096π/5.

8 0

3 years ago

Write 7,230,014 in word form

wel

Seven millon two hundred thirty thousand and fourteen

4 0

3 years ago

True or False? When doing linear regression, if the correlation coefficient is positive, the slope of the line is negative.

skelet666 [1.2K]

The correct answer is false

3 0

3 years ago

Read 2 more answers

Below is an Algebraic Proof that shows how the expression x(1+y) + y(2+x) is equivalent to x + 2xy + 2y. Some of the steps are l

harina [27]

Answer:

Step-by-step explanation:

Steps Property

x(1 + y) + y(2 + x) Given

x + xy + 2y + xy Distributive property

x + xy + xy + 2y Commutative property of addition

[a + b = b + a]

x + (xy + xy) + 2y Associative property of addition

[(a + b) + c = a + (b + c)]

x + 2xy + 2y Combine like terms

5 0

3 years ago