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mamaluj [8]
4 years ago
14

How do you use rounding or compatible numbers to estimate the sum of a number

Mathematics
1 answer:
jarptica [38.1K]4 years ago
7 0
Round the numbers, then add them
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Stephen kicked a ball inside. The equation that represents the height h in feet of the ball after being kicked and elapsed amoun
kodGreya [7K]

Answer:

The maximum height of the ball is: 14.0625ft

Step-by-step explanation:

The missing information is:

h(t) = 30t - 16t^2

Required

The maximum height the ball attained

First, we calculate the time to reach the maximum height.

For a function: h(t) = at^2 + bt + c

The maximum is: t = \frac{-b}{2a}

So, the maximum of h(t) = 30t - 16t^2 is:

t = \frac{-b}{2a}

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So:

t = -\frac{30}{2*-16}

t = -\frac{30}{-32}

t = \frac{30}{32}

t = 0.9375

The maximum height is then calculated as:

h(t) = 30t - 16t^2

h(0.9375) = 30 * 0.9375- 16 * 0.9375^2

h(0.9375) = 28.125- 14.0625

h(0.9375) = 14.0625

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