Plz help will mark brainliest for the correct answer

The height h(n) of a bouncing ball is an exponential function of the number n of bounces.

Digiron [165]

Answer:

The height of a bouncing ball is defined by $h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$ .

Step-by-step explanation:

According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:

$h = h_{o}\cdot r^{n-1}$ , $n \in \mathbb{N}$ , $0 < r < 1$ (1)

Where:

$h_{o}$ - Height reached by the ball on the first bounce, measured in feet.

$r$ - Decrease rate, no unit.

$n$ - Number of bounces, no unit.

$h$ - Height reached by the ball on the n-th bounce, measured in feet.

The decrease rate is the ratio between heights of two consecutive bounces, that is:

$r = \frac{h_{1}}{h_{o}}$ (2)

Where $h_{1}$ is the height reached by the ball on the second bounce, measured in feet.

If we know that $h_{o} = 6\,ft$ and $h_{1} = 4\,ft$ , then the expression for the height of the bouncing ball is:

$h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$

The height of a bouncing ball is defined by $h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$ .

5 0

3 years ago

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Consider the data points (–4, –14), (–2, –7), (0, –3), (2, –2), and (6, –6). Which type of function would best model the data se

Lunna [17]

The solution is attached as a word file

Download doc

3 0

3 years ago

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I need this answer as a mixed number

Leya [2.2K]

Answer: 1 2/3

Step-by-step explanation:

8 0

3 years ago

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A store has a bargain bin filled with red (R), blue (B), pink (P), and yellow (Y) shirts in sizes small (S) and large (L). Which

olasank [31]

Option D:

Possible outcomes when randomly pulling one shirt from the bin are

RS, RL, BS, BL, PS, PL, YS, YL

Solution:

Color of shirts are:

Red (R), Blue(B), Pink(P), Yellow(Y).

Size of shirts are:

Small(S), Large(L)

This means that each color of shirts have both in small and large size.

Shirts in bargain bin are:

Red in Small (RS), Red in Large (RL)

Blue in Small (BS), Blue in Large (BL)

Pink in Small (PS), Pink in Large (PL)

Yellow in Small (YS), Yellow in Large (YL)

Possible outcomes when randomly pulling one shirt are:

RS, RL, BS, BL, PS, PL, YS, YL

Hence Option D is the correct answer.

7 0

2 years ago

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represent the following sentence as an algebraic expression, where A number is X. A number more than 2.

xxMikexx [17]

Answer:

A>2 = X

If you simplify this then it just means A=X but A is more then 2.

I think ...

6 0

3 years ago