3 years ago

Use the diagram to answer the question.

Mathematics

1 answer:

elixir [45]3 years ago

3 0

293729373910362927291

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maria [59]

Answer:

Step-by-step explanation:

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2 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:

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

In conclusion, F'(0) = 15.

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2 years ago

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On a scale drawing with a scale of 1 cm: 3 m , the height of a tree is 5 cm. How tall is the actual tree?

Neko [114]

In 3 metres there are 300 centimetres. Each centimetre on the scale is 300 centimeters, or a ratio of 1:300. The tree is 5 centimetres on the scale. Each centimeter on the scale is 300 centimetres, therefore 5 centimetres on the scale is 1500 centimetres. 1500 centimetres is equal to 15 metres.

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2 years ago

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HELP me look at pics

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M+n+3+m+n+4
=3m+2n+7

answer
C. 3m+2n+7

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3 years ago

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