Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
Answer:
The correct option is A.
Step-by-step explanation:
Number of people who entered the drawing = 10
Number of prizes = 3
Number of ways to award the prize = 720 ways
The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:
10*9*8 = 720
The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8
Thus the probability that i win the first prize and my mom wins the second prize would be 8/720 ....
You olny do the problem in some u need to reduce
Answer:
Step-by-step explanation:
x = 6
Answer:

Step-by-step explanation:
we have

we know that

In this problem

substitute in the formula

