Cylinder is 10 meters wide, so its diameter is 10 meters. You get radius of it by dividing 10 by 2, which equals 5.
As you count volume of cylinder from that equation
You get an equation to count height:
h≈3.82 meters
Answer:
A
Step-by-step explanation:

Hope this helps!
Answer:

Step-by-step explanation:
Expression for the rectangular area and perimeter are, respectively:


After some algebraic manipulation, area expression can be reduce to an one-variable form:


The first derivative of the previous equation is:

Let the expression be equalized to zero:


The second derivative is:

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

The maximum area is:


Answer:
a = 9, b = 3, c = 0
Step-by-step explanation:
f(x) = (1/3)^x
a = f(-2) = (1/3)^-2= 9
b = f(-1) = (1/3)^-1 = 3
c = f(0) = (1/3)^0 = 1
whenever something is to the power of 0, the answer will always be 1
For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease factor
t: time
Substituting values:
y = 30 * (b) ^ t
To calculate t we use a point in the table.
We have:
(t, y) = (1, 28.5)
Substituting:
28.5 = 30 * (b) ^ 1
b = 28.5 / 30
b = 0.95
Answer:
a. Decay factor is 0.95