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:
∠JKP = 35°
Step-by-step explanation:
since P is the incenter, then lines to incenter bisect the corner angles:
7x - 6 = 5x + 4
subtract 5 x from both sides of the equation:
2x - 6 = 4
add 6 to each side:
2x = 10
divide both sides by 2:
x = 5
∠KJP = 7(5) - 6 = 29°
∠LJP = 5(5) + 4 = 29°
then ∠KJL = 29° + 29° = 58°
∠KLJ = 26° + 26° = 52°
∠JKL = 180° - 58° - 52° = 70°
∠JKP = 1/2 ∠JKL = 1/2(70°) = 35°
there might be a more direct way about it but this was the least confusing way I know to explain it.
The answer is 7 that is what I’m thinking
Answer:volume of regular pyramid = 3388 units³
Explanation:Volume of regular pyramid can be calculated using the following rule:
volume of regular pyramid =
* area of base * height
volume of regular pyramid =
* length * width * height
Based on the comment you added above, we have:
length = 11 units
width = 11 units
height = 84 units
Substitute with the givens in the above equation to get the volume as follows:
volume =
* 11 * 11 * 84
volume = 3388 units³
Hope this helps :)