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Vlad1618 [11]
3 years ago
7

A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the equation h = —16t^2

+ 75 where t is time (in seconds). Determine the amount of time it will take for the ball to hit the ground. Round your answer to the nearest hundredth of second. (Show Work)
Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

The ball will take approximately 2.165 seconds.

Step-by-step explanation:

The height of the ball is represented by the function h(t) = -16\cdot t^{2}+75, the time taken by the ball to hit the ground is a value of t such that h(t) = 0, we proceed to solve the following equation for t:

-16\cdot t^{2}+75 = 0 (1)

16\cdot t^{2} = 75

t = \sqrt{\frac{75}{16} }

t \approx 2.165\,s

The ball will take approximately 2.165 seconds.

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b

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7n^2-4n-14=21<br> complete the square
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Explanation:

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2) Transpose  - 14 =>

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7n² - 4n = 35

4) multiply both terms by 7 =>

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5) form the squared binomial:

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6) Transpose - 4 =>

(7n - 2)² = 35×7 + 4

7) Do the operations on the right side:

(7n - 2)² = 249 or (7n - 2)² - 249 = 0

8) Verify the equivalence by expanding the binomial:

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Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
4 0
3 years ago
Anna is making soft toys she can sell at the fair. She can make 3 soft toys in 5 hours. How many soft toys can she make in 20 ho
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The answer is B.12 because if she make 3 in 5 hours that means that in twenty hours should make 12 because it's like this 3 x 4 = 12 and 5 x 4 = 20 so when you add the hours up you'll get the answer
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