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Ad libitum [116K]
3 years ago
9

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th

e nth bounce.
f(n) = 9(0.7)n

What does the number 9 in the function represent?

Number of times the ball was dropped.

Height from which the ball was dropped.

Height to which the ball will bounce at the nth bounce.

Number of times the ball bounces at the nth bounce.
Mathematics
2 answers:
adoni [48]3 years ago
7 0

Answer:

the answer is B I did the test

Step-by-step explanation:

Fittoniya [83]3 years ago
4 0

We are given a function of the bouncing of the ball expressed as f(n) = 9(0.7)n in which n is an integer as the number of times the ball has dropped. 9 represents the initial height of the ball and 0.7 is the percent of which the height is reserved
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The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

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Reason:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

np  n

10  100

9    100

11   100

7    100

3   100

12  100

8   100

4    100

6    100

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Standard deviation for pbar chart=\sqrt{\frac{0.0744}{100} }

Standard deviation for pbar chart=\sqrt{0.0007444 }

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