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3 years ago

Answer choice (A)5/30 (B)3/17 (C) 8/30 (D) 16/30

Mathematics

1 answer:

ratelena [41]3 years ago

8 0

<h3>Answer: (C) 8/30</h3>

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Explanation:

There are 5+3 = 8 people in choir and running club. I added the values in the overlapped region of the circles "choir" and "running club".

This is out of 2+5+6+7+3+4+3 = 30 people total.

Divide the two results to form the fraction 8/30

Ideally we should reduce to get 4/15, but your teacher has chosen not to reduce.

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Step-by-step explanation:

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Read 2 more answers

For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th

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Answer:

The inner function is $h(x)=4x^2 + 8$ and the outer function is $g(x)=3x^5$ .

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

Step-by-step explanation:

A composite function can be written as $g(h(x))$ , where $h$ and $g$ are basic functions.

For the function $f(x)=3(4x^2+8)^5$ .

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have $4x^2+8$ inside parentheses. So $h(x)=4x^2 + 8$ is the inner function and the outer function is $g(x)=3x^5$ .

The chain rule says:

$\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)$

It tells us how to differentiate composite functions.

The function $f(x)=3(4x^2+8)^5$ is the composition, $g(h(x))$ , of

outside function: $g(x)=3x^5$

inside function: $h(x)=4x^2 + 8$

The derivative of this is computed as

$\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4$

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

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4 years ago

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Aleonysh [2.5K]

By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
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3 years ago

The sum of three consecutive integers is 53 more than the least of the integers. Find the integers. Really need the help!!

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Answer:

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Step-by-step explanation:

x+x+1+x+2=x+53

3x+3=x+53

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3 years ago

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Answer:

The correct option is;

Corresponding angles theorem

Step-by-step explanation:

Type of lines of lines a and b = Horizontal and parallel lines

The transversal to a and b = Line c

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Therefore, we have;

Statement ${}$ Reason

1. a║b, c is a transversal ${}$ Given

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3. m∠6 = m∠2 ${}$ Definition of congruent

4. ∠6 is supp. to ∠8 ${}$ Definition of linear pair

5. ∠2 is supp. to ∠8 ${}$ Congruent supplement theorem

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