The perimeter , width and length are all one dimensional so the preimeter of the resulting rectangle will be 2.5 * 36 = 90.
The area is 2 dimensional whereas the vase and height are one dimensional so the area will be increased by a factor of 5^2 ( or 25)
New rea = 36*25 = 900
solids are 3 dimensional so the ratio of thereir volumes is 5^3 : 3^3
= 125:27
to answer the last 2 use the formula Volume = pi r^2 h where r = radius and h = height of a cylinder
Step-by-step explanation:
(a) dP/dt = kP (1 − P/L)
L is the carrying capacity (20 billion = 20,000 million).
Since P₀ is small compared to L, we can approximate the initial rate as:
(dP/dt)₀ ≈ kP₀
Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.
20 = k (6,100)
k = 1/305
dP/dt = 1/305 P (1 − (P/20,000))
(b) P(t) = 20,000 / (1 + Ce^(-t/305))
6,100 = 20,000 / (1 + C)
C = 2.279
P(t) = 20,000 / (1 + 2.279e^(-t/305))
P(10) = 20,000 / (1 + 2.279e^(-10/305))
P(10) = 6240 million
P(10) = 6.24 billion
This is less than the actual population of 6.9 billion.
(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))
P(100) = 7570 million = 7.57 billion
P(600) = 20,000 / (1 + 2.279e^(-600/305))
P(600) = 15170 million = 15.17 billion
Answer: 48
Step-by-step explanation:
Answer:
y = 1x + 46
Step-by-step explanation:
Answer:
See below for answers
Step-by-step explanation:
1st blank: 2*2*2*2*2*2*2
2nd blank: 2
3rd blank: 7*7
4th blank: 7
5th blank: no
6th blank: doesn't equal