Answer:
slope = 4
Step-by-step explanation:
.................
To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
Answer to 4.
About 106.66
If they ask if a rounded answer it would be 107. You just divide 2560 by 24 because you know 24 balls is 3 pounds.
Answer:
81.39% increase.
Step-by-step explanation:
Given: There is change in number from 43 to 78.
First lets find the amount of change or difference in number.
Difference in number= 
∴ Difference in number show that there is an increase of 35 number.
Now, finding the percent change in the number.
Percent= 
⇒ Percent change in number= 
∴ 81.39% increase in the number.
