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saveliy_v [14]
4 years ago
8

I really need help!!!!!! 25 points!!

Mathematics
1 answer:
SCORPION-xisa [38]4 years ago
5 0

Answer:

1.  9/25  units^2

2.    s = 1/4 unit

3.    = 8/27  units^3

4.     s = 3/4 unit

Step-by-step explanation:

1.  The area of a square is A=s^2

                                            A = (3/5)^2

                                                 = (3/5) *(3/5)

                                                  = 9/25  units^2

2.   The area of a square is A=s^2

                                             1/16 = s^2

       Take the square root of each side

                                          sqrt(1/16) = sqrt(s^2)

                                              1/4 = s

                                            s = 1/4 unit

3.  The volume of a cube is V = s^3

                                             V = (2/3)^3

                                                 = (2/3) (2/3) (2/3)

                                                  = 8/27  units^3

4.The volume of a cube is V = s^3

                                          27/64 = s^3

Take the cube root of each side

                                         (27/64)^(1/3) = (s^3)^(1/3)

                                               3/4 = s

                                                     s = 3/4 unit












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alexira [117]

Answer:

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

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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)

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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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Answer:

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Step-by-step explanation:

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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Step-by-step explanation:

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