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Cerrena [4.2K]
3 years ago
11

P(t) = 2ť + 10 n(t) = 4 What’s the function (p+n) (t)?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0

Answer:

\boxed{\sf (p + n)(t) = 2t + 14}

Given:

\sf p(t) = 2t + 10 \\ \sf n(t) = 4

To find:

\sf (f + g)(x) = f(x) + g(x)

Step-by-step explanation:

\sf \implies(f + g)x = f(x) + g(x) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (2t + 10) + ( 4) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 2t + 10 + 4 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 2t + 14

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Answer:

Volume of the frustum = ⅓πh(4R² - r²)

Step-by-step explanation:

We are to determine the volume of the frustum.

Find attached the diagram obtained from the given information.

Let height of small cone = h

height of the large cone = H

The height of a small cone is a quarter of the height of the large cone:

h = ¼×H

H = 4h

Volume of the frustum = volume of the large cone - volume of small cone

volume of the large cone = ⅓πR²H

= ⅓πR²(4h) = 4/3 ×π×R²h

volume of small cone = ⅓πr²h

Volume of the frustum = 4/3 ×π×R²h -  ⅓πr²h

Volume of the frustum = ⅓(4π×R²h - πr²h)

Volume of the frustum = ⅓πh(4R² - r²)

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3 years ago
What do you know about the slopes of lines that are parallel? Explain
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Parallel lines have to have the same slope.  The must stay the same distance apart at all times to be parallel and the only way to do that is to change in exactly the same manner as they move so slope is the change in x over the change in y.  it must be the same

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Answer:

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