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Westkost [7]
2 years ago
14

Suppose you drop a ball from a height of 10 feet. after the ball hits the floor, it rebounds to a height defined by the recursiv

e formula an = 0.85an – 1. what is a1? feet what is the height the ball rebounds to after its third bounce? round your answer to three decimal places. feet
Mathematics
1 answer:
Lapatulllka [165]2 years ago
4 0

The <em>maximum</em> height of the ball after its third bounce is equal to 3.568 feet.

<h3>What is the maximum height of a ball at the third bounce?</h3>

In this question we are aware that the <em>maximum</em> height reached by the ball decreases <em>linearly</em> after each bounce. To determine that height, we must take advantage of the recursive formula described in statement:

n = 0

a₀ = 10 ft

n = 1

a₁ = 0.85 · 10 - 1

a₁ = 8.5 - 1

a₁ = 7.5 ft

n = 2

a₂ = 0.85 · 7.5 - 1

a₂ = 5.375 ft

n = 3

a₃ = 0.85 · 5.375 - 1

a₃ = 3.568 ft

The <em>maximum</em> height of the ball after its third bounce is equal to 3.568 feet.

To learn more on recursive formulas: brainly.com/question/8972906

#SPJ1

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Contact [7]

Answer:

The answer is most likely 5 shrimp eats 5 grams of food im one day,

Step-by-step explanation:

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. <em>What is the constant of proportionality and what does it tell us about the situation?</em>

So, We know the shrimp is fed 1/5 gram of food each feeding, And we know the shrimp is fed 3 times each day.

Now, We need to answer the question, <u><em>What is the constant of proportionality and what does it tell us about the situation?</em></u>

<u><em /></u>

Then, That means '5, shrimp eats 5 grams of food in one day ' is correct.

6 0
3 years ago
Use the given information to solve for x and y
Anuta_ua [19.1K]

Answer:

x = 10 and y = 7

Step-by-step explanation:

Equalateral triangle means all sides are equal.

x = 10,  easy

make y + 3 = 10

y = 7

Easy, no real math needed. lol

4 0
3 years ago
Elle can buy 2 qt of milk for$3 or 1 gal milk for $3, which is the better deal explain.
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1 gallon of milk is the better deal. A gallon is 4 quarts, so for 2 quarts, it would be left. I hope I helped!
4 0
3 years ago
Read 2 more answers
Andrew fish tank holds 144 gallons of water. To clean the tank, he drains the water at a rate the water at a rate of 6 gallons p
Kobotan [32]

Answer:

8 minutes

Step-by-step explanation:

Since the level of the tank needs to be at two-thirds its original level, then this means that Andrew needs to drain only one-third of the fish tank. Therefore the amount of time it would take can easily be solved with this 2-step equation...

6t = 144 * \frac{1}{3} .... first multiply the right side of the equation

6t = 48   ... next divide both sides by 6

t = 8

Finally, we can see that it will take Andrew 8 minutes to drain the tank to two-thirds of its original level.

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Answer: for the answer its 35 trust /%

Step-by-step explanation:

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