a. Answer: D: (∞, ∞)
R: (-∞, ∞)
<u>Step-by-step explanation:</u>
Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).
Theoretical range is the range of the equation given the domain.
c(p) = 25p
There are no restrictions on the p so the theoretical domain is All Real Numbers.
Multiplying 25 by All Real Numbers results in the range being All Real Numbers.
a) D: (∞, ∞)
R: (-∞, ∞)
*********************************************************************************
b. Answer: D: (0, 200)
R: (0, 5000)
<u>Step-by-step explanation:</u>
Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.
Practical range is the range of the equation given the practical values of the domain.
The problem states that p represents the number of cups. Since we can't have a negative amount of cups, p ≥ 0. The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200
The range is 25p → (25)0 ≤ (25)p ≤ (25)200
→ 0 ≤ 25p ≤ 5000
b) D: (0, 200)
R: (0, 5000)
The answer is
A.
Hope This Helps
Natural selection <span>is the process where organisms are more likely to reproduce. When they reproduce, they pass on traits to the next generation. Over time this process allows organisms to adapt to their environment. Giving what natural selection means, I believe the answer is D. Evolution does NOT always improve organisms.
I hope this helps:)</span>
Answer:
For this case we know that 
represent the radius, 
the height and the rate given is:
And replacing we got:
And that represent 
Step-by-step explanation:
For a tank similar to a cylinder the volume is given by:
For this case we know that represent the radius, the height and the rate given is:
For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:
And solving for 
we got:
We need to convert the rate given into m^3/min and we got:
And replacing we got:
And that represent
Answer:
7.5 m
Step-by-step explanation:
circumference = 360/72 × 3π = 15π
so the radius of the circle =
15π / 2π = 7.5 m
