Compare these two functions, where the input variable represents days.

A rectangular prism has a length of 18 feet, a height of 14 feet, and a width of 2 feet. What is its volume, in cubic feet?

Fittoniya [83]

Answer:

504

Step-by-step explanation:

14x18x2=

(14x18)x2=

252x2=

504

6 0

2 years ago

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In general, when a number written in scientific notation includes a positive exponent, the magnitude of the number is __________

Masteriza [31]

Scientific notation is als<span>o </span>called power-of-10 notation, is a method of writing extremely large and small numbers.

when a number written in scientific notation includes a positive exponent, the magnitude of the number is <span>greater than one</span>

8 0

3 years ago

Read 2 more answers

1.3 repeating as a fraction

strojnjashka [21]

1 3/9 but if reduce to lowest term than 1 1/3

4 0

3 years ago

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

alexira [117]

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 $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

3 0

3 years ago

BRAINLIST!!! The area of Alex's room is 168 square feet. If his room is a rectangle and one side is 12 feet, how long is the oth

Cloud [144]

Answer:

the missing length is 14 feet.

Step-by-step explanation:

a = L × W

168ft² = 12 × W - divide both sides of the equation by 12

- 168 ÷ 12 = 14

168ft² = 12 × 14

6 0

3 years ago