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antoniya [11.8K]
2 years ago
6

Please help with the following questions

Mathematics
1 answer:
bezimeni [28]2 years ago
6 0
1) Circumference = π*diameter
= 3.14*10 = 31.4 inches

2) 130% of 74 = 1.3 x 74
= 96.2
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The height 'h' (in feet) of a ball in a baseball game can be modeled by h = -16t² + 28t + 8 , where 't' is the time (in seconds)
lidiya [134]

Answer:

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  b) 2.0 seconds

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a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.

__

b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.

  h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0

  0 = -4(4t² -7t -2) = -4(4t +1)(t -2)

This has t-intercepts where the factors are zero, at t=-1/4 and t=2.

The ball will hit the ground after 2 seconds.

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