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Vesna [10]
2 years ago
12

Helpppppppp me plzzzzzzz

Mathematics
1 answer:
Ainat [17]2 years ago
8 0

Answer:

90 seconds

Step-by-step explanation:

To find the time it takes to take a certain amount of steps, divide the given rate by the time.

3/2 = 1.5

This means she takes 1.5 steps every second. Now, we can multiply this rate by 60 to find how far she will go in that time.

1.5 · 60 = 90

Bethany takes 90 steps in 60 seconds.

I hope this helps ^^ Good luck

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Answer:

5 laps per day

Step-by-step explanation:

30 laps divided by 6 days gives you 5 laps per day.

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Please help me my homework is due tomorrow use the screen shot
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Answer:

1/5

Step-by-step explanation:

(5^7*5^5)/5^13 (when multiplying numbers with the same base, add the exponents)

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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
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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}

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Second part of question:

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

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k = 235\ ft

n represents the number of times the ball bounces:

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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}

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

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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

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