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mestny [16]
3 years ago
15

During a fourth of July celebration, a cannon is fired upwards from Fort Ontario. The height, h, in feet, of the cannonball abov

e sea level at any given time, t, in seconds, can be determined by the formula h = -16t2 + 120t + 200. Find the height, in feet, of the cannonball above sea level 5 seconds after the cannon is fired.
Mathematics
2 answers:
ANEK [815]3 years ago
7 0

Answer:

400 feet

Step-by-step explanation:

We just need to find h when t = 5. To do so, we can plug t = 5 into the function, which would be:

h = -16t² + 120t + 200

  = -16 * 5² + 120 * 5 + 200

  = -400 + 600 + 200 = 400 feet

Snowcat [4.5K]3 years ago
3 0

Answer:

h = 400 feet

Step-by-step explanation:

given t = 5 seconds

h = -16t² + 120t + 200

just substitute t = 5

h = -16(5)² + 120(5) + 200

h = 400 feet

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Three years hence a father will four times as old as his son will be. Before two years he was seven times as old as his son was.
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Answer: The father is 37 years and the son is 7 years

Step-by-step explanation:

Let x represent the present age of the father.

Let y represent the present age of the son.

Three years hence a father will four times as old as his son will be. This means that

x + 3 = 4(y + 3)

x + 3 = 4y + 12

x - 4y = 12 - 3

x - 4y = 9- - - - - - - - - - - - - - - -1

Before two years he was seven times as old as his son was. This means that

(x - 2) = 7(y - 2)

x - 2 = 7y - 14

x - 7y = - 14 + 2

x - 7y = - 12- - - - - - - - - - - - - - -2

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3y = 21

y = 21.3 = 7

Substituting y = 7 into equation 1, it becomes

x - 4 × 7 = 9

x - 28 = 9

x = 9 + 28

x = 37

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Step-by-step explanation:

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Express fraction as improper fraction

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8 0
3 years ago
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Answer:

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Step-by-step explanation:

Step 1: Write equation

3 = -1.5n

Step 2: Divide both sides by -1.5

n = -2

Step 3: Check

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Step-by-step explanation:

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