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2 years ago

Please answer question plz!!!!!

Mathematics

1 answer:

Neporo4naja [7]2 years ago

6 0

Answer:

V = 214.32

Step-by-step explanation:

Remark

You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.

Formula

V = (h1 - h2)* Base

Givens

h1 = 32.9

h2 = 29.1

Base = 56.4

Solution

V = 56.4 ( 32.9 - 29.2)

V = 56.4 * 3.8

V = 214.32

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Sladkaya [172]

We'll have to assume that interest is charged annually.

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3 years ago

If f'(0) = 5 and F(x) = f(3x), what is F'(0)?

Llana [10]

Answer:

$\displaystyle F'(0) = 15$

Step-by-step explanation:

We are given that:

$f'(0) = 5 \text{ and } F(x) = f(3x)$

And we want to find F'(0).

First, find F(x):

$\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]$

From the chain rule:

$\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}$

Then:

$\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}$

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

For a horizontal compression, we multiply whole numbers greater than 1 in front of $x$ of the given function.
For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of $x$ of the function.

For example,

If we wanted to <u>horizontally compress</u> $y=x^2$ , we would multiply by 4 to get $y=(4x)^2$ , and

if we wante to <u>horizontally expand</u> $y=x^2$ , we would multiply by $\frac{1}{4}$ to get $y=(\frac{1}{4}x)^2$

Since this question asks for horizontal compression, we multiply the $x$ of the function by 4. So the function we need is $f(x)=(4x)^7$ . The second choice is correct.

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3 years ago