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Sunny_sXe [5.5K]
3 years ago
7

A ball bounces back 0.6 of its height on every bounce. If a ball is dropped 200 feet, how high does it bounce the fifth bounce?

Round to the nearest tenth.
Mathematics
1 answer:
MissTica3 years ago
4 0

It is asking you to slice off 40% of the bounce height in each subsequent bounce.


So you start with full height 1, that's n = 0 bounces. Then after n = 1 bounce the new height is .6. After the second bounce, n = 2, the height becomes .6 X .6 = .36. And after n = 3, we have .6 X .6 X .6 = .216


So by induction we see that h(n = 5) = .6^n = .6^5 = 0.07776 = .078 of its original height or H = .078*200 = 15.6 ft. after five bounces. ANS. 16.0 if rounded to the nearest tenth

:)


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85.9%

Step-by-step explanation:

We know that she has a dozen watermelons and apples each. Dozen = 12.

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I am doing this way because I could not get 84/11.9 into a percent without it going over 100%. Next step is to multiply by 100.

0.141 x 100 = 14.1%

Next, subtract 100% from 14.1%.

100% - 14.1% = 85.9%

Therefore, the answer is 85.9%.  I hope this helps.

I rethought this, so if it is asking for a percentage greater than 100, then here is my original answer (which did not make sense to me so i took a different route):

"We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

84/11.9 = 7.05

Multiply by 100:

7.05 x 100 = 705

Therefore, the answer is 705%. I have never seen a percentage over 100, but I hope this helps. "

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