tiffg3140
01.08.2019 •
Mathematics
Aball is thrown into the air with an upward velocity of 24 ft/s. its height h in feet after t seconds is given by the function h=-16t+24t+7. in how many seconds does the ball reach its maximum height? round to the nearest hundredth if necessary. what is the ball’s maximum height?
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Ответ:
The line of symmetry for the parabola described by
... y = ax²+bx+c
is given by
... x = -b/(2a)
That line for your parabola is
... t = -24/(2×(-16)) = 24/32 = 3/4 = 0.75
The vertex (maximum) lies on this line. The value of h at that point is
... h = -16(3/4)² + 24(3/4) + 7 = -9 + 18 + 7 = 16
The ball reaches its maximum height in 0.75 seconds.
The ball's maximum height is 16 ft.
Ответ:
When a number N is rounded to the nearest ten, the result is 630, but when
N is rounded to the nearest hundred, the result is 600. What is N?
Find a number N that rounds to 20,000 when rounded to the nearest ten
thousand. What is the greatest value of N? Least value?