Answer:
Decreases
Step-by-step explanation:
As 'n' increases the value of the (1/4) will decrease.
Say, n=1 ; 1/4
n=2 ; 1/4 * 1/4 = 1/16(because n=2, there are two 1/4s)
n= and so on
Answer:
B.
f(x) = 3x + 26;26≤ y ≤ 35
Step-by-step explanation:
This would be a linear equation in the form
y= mx+b
where b is the initial value (or 26 clients)
m is the slope, or the amount they want to increase by each week
y = 3x+26
Let x =0
y = 26 or what we start with
Let x =3, or be week 4 (we started with x= 0)
y = 3*3 +26
y =9+26
y= 35
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:
B.) (-202)+(-12)
Step-by-step explanation:
The undersea level is negative then going under again will produce a completely negative answer.
