Mathematics: Check for Understanding A super-ball has a 75% rebound ratio-that is, when it bounces repeatedly, each bounce is 75% as high as the previous bounce. When you drop it from a height of 20 feet how high does the ball bounce on the eighteenth bounce? Round your answer to the nearest hundredths.

Check for Understanding A super-ball has a 75% rebound

Ответ:

HyperZ

23.01.2022

Mathematics

0.11 feet

Step-by-step explanation:

Every bounce, the ball bounces to 75% of its previous bounce, so the first few bounces will give us heights of

20 ft (0 bounces)

20 × 0.75 = 15 ft (1 bounce)

20 × 0.75 × 0.75 = 11.25 ft (2 bounces)

We can express the continued multiplication by 0.75 as an exponent, so that after the nth bounce, the ball will bounce $20(0.75)^{n}$ feet. Plugging in 18 for n gets us

$20(0.75)^{18}\approx 0.11$ feet.

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Ответ:

thedarcieisabelleand

29.12.2021

Mathematics

636.07

Step-by-step explanation:

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Check for Understanding
A super-ball has a 75% rebound ratio-that is, when it bounces repeatedly, each bounce is 75% as high as the previous bounce. When you drop it from a height of 20
feet how high does the ball bounce on the eighteenth bounce? Round your answer to the nearest hundredths.

Ответ:

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