Part A)
f(x) = 5^x
f(0) = 5^0
f(0) = 1
----------
f(x) = 5^x
f(1) = 5^1
f(1) = 5
----------
f(x) = 5^x
f(2) = 5^2
f(2) = 5*5
f(2) = 25
----------
f(x) = 5^x
f(3) = 5^3
f(3) = 5*5*5
f(3) = 125
-------------------
Rate of change for section A = (f(1) - f(0))/(1 - 0)
Rate of change for section A = (5 - 1)/(1 - 0)
Rate of change for section A = 4/1
Rate of change for section A = 4
Rate of change for section B = (f(3) - f(2))/(3 - 2)
Rate of change for section B = (125 - 25)/(3 - 2)
Rate of change for section B = 100/1
Rate of change for section B = 100
================================================
Part B)
From part A) above, we found,
Rate of change for section A = 4
Rate of change for section B = 100
Which means that section B's rate of change is 25 times greater (since 100/4 = 25, or 25*4 = 100)
Answer for part B: 25
================================================
Extra: Explain why one rate of change is greater than the other.
The rate of change for section B is larger because the exponential function is growing faster as x increases. This is shown visually by the sharper and steeper incline as the function curve goes upward. The function starts off with relatively slower growth but it accelerates in speed.
Answer:
8
Step-by-step explanation:
Volume of a cone formula: V = 
where,
h is the height <u>9 in (assuming)</u>
r is the radius <u>want</u>
v is the volume <u> 602.88 cubic inches</u>
is <u>a = 3.14 </u>
Plug in everything:
PENTA = 5.
a regular polygon has all equal sides, so if one side is 5.8, all are, so the perimeter for this pentagon with 5 sides is 5.8 + 5.8 + 5.8 + 5.8 + 5.8 = 29.
I think 8. Plug in -4 for x. 1/2-4^2
Using pemdas -4^2 is 16 and 1/2•16 is 8. If there were parenthesis around 1/2x then 1/2•-4 would be -2 and -2^2 is 4 but since there aren’t parentheses then 8
Answer:
Option C. 4.2 units
Step-by-step explanation:
Diagonals of a square intersect each other at 90°.
Therefore, From the right angle triangle formed at the center will be,
(Length of square)² = 3² + 3² [By Pythagoras theorem}
Length of the square = 
= 4.24 units
≈ 4.2 units
Option C is the answer.
