Answer:
kckgkfjjfufufuf8f8ff88r8r8r8r8r8rrffufuufuff
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
I believe it is A because 3p has to be equal to or greater than 45
Answer:
8/1.50 = 128/x
Step-by-step explanation:
In this case, I put the amount of fruit drink over the cost!
8 ounces/$1.50
there are 128 ounces in a gallon and we want to find out the cost of a gallon, so we can put that as x!
128 ounces/x
There's your proportion! Hope this helps :)
Answer:
a = 9
Step-by-step explanation:
Let's make the demoninators of the 2 fractions the same :
(2a+8)/10 - (5a +15)/10 = 5
(2a + 8 - 5a + 15)/10 = 5
=> -3a + 23 = 50
=> -3a = 27
=> a = 9
