When a ball is thrown up into the air, the function h(t) = −16t2 + 72t
gives the height h
in feet of the ball t
seconds after it has been thrown. Find the height of the ball 4 seconds after it has been thrown. (1 point)
Responses
To find the height of the ball 4 seconds after it has been thrown, we can substitute t = 4 into the given function:
h(4) = -16(4)^2 + 72(4)
= -16(16) + 288
= -256 + 288
= 32
Therefore, the height of the ball 4 seconds after it has been thrown is 32 feet.
Question
When a ball is thrown up into the air, the function h(t) = −16t2 + 72t
gives the height h
in feet of the ball t
seconds after it has been thrown. What does h(9)
represent? (1 point)
Responses
To find what h(9) represents, we can substitute t = 9 into the given function:
h(9) = -16(9)^2 + 72(9)
= -16(81) + 648
= -1296 + 648
= -648
Therefore, h(9) represents the height of the ball 9 seconds after it has been thrown, which is -648 feet.
The function B(t) = 300(2)t
gives the number of bacteria after t
hours. How many bacteria exist after 5 hours? (1 point)
Responses
To find the number of bacteria after 5 hours, we can substitute t = 5 into the given function:
B(5) = 300(2)^5
= 300(2^5)
= 300(32)
= 9600
Therefore, there are 9600 bacteria after 5 hours.
To find the height of the ball 4 seconds after it has been thrown, substitute t = 4 into the equation h(t) = -16t^2 + 72t.
h(4) = -16(4)^2 + 72(4)
h(4) = -16(16) + 288
h(4) = -256 + 288
h(4) = 32 feet
Therefore, the height of the ball 4 seconds after it has been thrown is 32 feet.
To find the height of the ball 4 seconds after it has been thrown, you can use the given function h(t) = -16t^2 + 72t.
Plug in t = 4 into the function:
h(4) = -16(4)^2 + 72(4)
Simplify the expression:
h(4) = -16(16) + 288
h(4) = -256 + 288
h(4) = 32
Therefore, the height of the ball 4 seconds after it has been thrown is 32 feet.