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2 years ago

If a superball is bounced from a height of 20 feet, the function

Mathematics

1 answer:

Alex2 years ago

7 0

This question is not complete because the function given was not correctly written.

Complete question:

If a Super ball is bounced from a height of 20 feet, the function F(x) = 20(0.9)ˣ gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 6th bounce? Round your answer to the nearest tenth of a foot.

Answer:

The height of the ball after the sixth bounce to the nearest tenth of a foot = 10.6 feet

Step-by-step explanation:

Function representing the height of a ball in the question

F(x) = 20(0.9)ˣ

x= number of times which the ball has been bounced In the question, we are given x as 6 times

The height after the 6th bounce is calculated as =

F(x)= 20(0.9)ˣ

F(x) = 20(0.9)⁶

F(6) = 20 × 0.531441

F(6) = 10.62882 feet

Approximately to the nearest tenth = 10.6 feet.

Therefore, the height of the ball after the 6th bounce in feet to the nearest tenth is 10.6 feet.

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Oksana_A [137]

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Step-by-step explanation:

because there are numbers involved

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2 years ago

A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each

Marysya12 [62]

Answer: - 0.28

Explanation:

1) Expected value: is the weighted average of the values, being the probabilities the weight.

That is: ∑ of prbability of event i × value of event i.

In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).

2) Sample space:

Sum              Points awarded

1+ 1 = 2            +6

1 + 2 = 3             +2

1 + 3 = 4             -1

1 + 4 = 5             -1

1 + 5 = 6             -1

1 + 6 = 7             -1

2 + 1 = 3             +2

2 + 2 = 4             -1

2 + 3 = 5             -1

2 + 4 = 6             -1

2 + 5 = 7             -1

2 + 6 = 8             -1

3 + 1 = 4             -1

3 + 2 = 5             -1

3 + 3 = 6             -1

3 + 4 = 7             -1

3 + 5 = 8             -1

3 + 6 = 9             -1

4 + 1 = 5             -1

4 + 2 = 6             -1

4 + 3 = 7         -1

4 + 4 = 8            -1

4 + 5 = 9            -1

4 + 6 = 10          -1

5 + 1 = 6            -1

5 + 2 = 7            -1

5 + 3 = 8            -1

5 + 4 = 9            -1

5 + 5 = 10          -1

5 + 6 = 11          +2

6 + 1 = 7            -1

6 + 2 = 8            -1

6 + 3 = 9            -1

6 + 4 = 10          -1

6 + 5 = 11          +2

6 + 6 = 12          +6

2) Probabilities

From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points

3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28

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2 years ago

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sergij07 [2.7K]

Answer:

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Step-by-step explanation:

A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.

The first attachment shows the computation of the loan value. It is about $37,624.54.

The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.

The loan balance 8 years from the end of the loan will be about $21,623.70.

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2 years ago

Solve the problem. The half-life of plutonium-234 is 9 hours. If 50 milligrams is present now, how much will be present in 6 day

MaRussiya [10]

Answer:

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Step-by-step explanation:

The amount (a) present in h hours is ...

a(h) = (initial value)×(1/2)^(h/(half-life))

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Anna [14]

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3 years ago

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