3 years ago

What makes the sentence true 1\2=?/12

Mathematics

1 answer:

bagirrra123 [75]3 years ago

6 0

It would be 1/2 = 6/12

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The opposite side of the arc is equal to its opposite.

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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:

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

In conclusion, F'(0) = 15.

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2 years ago

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2. Sophia scored 42 points in 3 games. How many points would you expect her to make in 11 games?

igomit [66]

Answer:

154

Step-by-step explanation:

42/3=14

14*11=154

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2 years ago

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Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.

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