We have the following function:
p (x) = - 2 (x-9) ^ 2 +200
We derive to find the maximum of the function:
p '(x) = - 4 (x-9)
Rewriting:
p '(x) = - 4x + 36
We match zero:
-4x + 36 = 0
We clear x
x = 36/4
x = 9 degrees
The maximum population occurs when x = 9.
We evaluate the function for this value:
p (9) = - 2 * (9-9) ^ 2 +200
p (9) = 200
Answer:
The maximum number of fish is:
p (9) = 200
where is the s in here though
The formula for displacement is:
<span>d=1/2(v0+v)t
If we multiply by 2/t we will have
2*d/t = v0+v
In order to find v0 we subtract </span><span>v (the final velocity)
2*d/t - v = v0
The final result is that: v0 = </span>2*d/t - v
Answer:
<h2>
V = 360π in³</h2>
Step-by-step explanation:
the formula for the volume of a cone of base radius r and height h is:
V = (1/3)(πr²)(h). Here, r = 6 in and h = 30 in. Then,
V = (1/3)(π)(6 in)²(30 in), or
= (1/3)π(36 in²)(30 in), or
V = 360π in³
since there is always a decimal at the end of every value so :
= 262144.0
you move the decimal backwards if there is no decimal between the value. you place the decimal after the 1st digit, you will also count the digits you have passed :
= 2.62144 X 10^5
you passed 5 values so you put 5 in exponent form.