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rewona [7]
3 years ago
12

How do i find the constant rate of change in a graph

Mathematics
2 answers:
svetlana [45]3 years ago
8 0

Answer: count X,Y axis or we called as the slope

Marta_Voda [28]3 years ago
5 0

Answer:

isnt it by the Y-intercept?

Step-by-step explanation:

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The Fermi paradox is a disagreement between different high estimations for the existence of alien life and the lack of conclusive, blatant proof for it. If life were so simple, "someone from someplace must have come knocking by now," as one story from 2015 put it. Due to a casual conversation he had with fellow physicists Edward Teller, Herbert York, and Emil Konopinski in the summer of 1950, Italian-American Enrico Fermi is known for the paradox. The men talked about recent UFO sightings and the potential for faster-than-light travel as they were walking to lunch. Before Fermi abruptly asked, "But where is everybody?" during lunch, the conversation shifted to other topics (although the exact quote is uncertain).

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Ricky has seven dollars and one cent.<br> How is that amount written using a dollar sign?
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Read 2 more answers
4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t
Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

a_{n}=a_{1}r^{n-1}

a_{1} = the first term of the series

r = the geometric ratio

a_{1} would represent the height at which the ball is first dropped. Therefore:

a_{1} = k

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

r=\frac{3}{4}

Our general term would be:

a_{n}=a_{1}r^{n-1}

a_{n}=k(\frac{3}{4}) ^{n-1}

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

k represents the initial height:

k = 235\ ft

n represents the number of times the ball bounces:

n = 6

Plugging this back into our general term of the geometric series:

a_{n}=k(\frac{3}{4}) ^{n-1}

a_{n}=235(\frac{3}{4}) ^{6-1}

a_{n}=235(\frac{3}{4}) ^{5}

a_{n}=55.8\ ft

a_{n} represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. ​

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

S_{n}=\frac{a_{1}(1-r^{n})}{1-r}

We already know these variables:

a_{1}= k = 235\ ft

r=\frac{3}{4}

n = 12

Therefore:

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }

S_{n}=(4)(235)(1-\frac{3}{4} ^{12})

S_{n}=910.22\ ft

8 0
3 years ago
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