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
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.This statement is a conditional statement. However, it is not in its standard form. A conditional statement is known as an If-then statement.
It should be written as:
If the sum of the digits of the number is divisible by 3 then a number is divisible by 3.
There are two parts of a conditional statement. The first part is the hypothesis, the second part is the conclusion. The hypothesis starts with "if". The conclusion starts with "then".
The conclusion of the conditional statement is THEN A NUMBER IS DIVISIBLE BY 3.
Answer:
B. all whole integers
Step-by-step explanation:
the question and x is talking about people, meaning that people cannot be decimals"" , so its b
equations are (174+106) (112+165) (121+168) (172+113)
i think this is correct because you need morning and evening combined to know a exact answer.
you can check this by calculating you equations and u will end up with Wednesday as the longest amount of miles
Answer:
ERSEYHEFUHEFYUBREHFBHRBVYICRWHBG
Step-by-step explanation: