Answer:
-10
Step-by-step explanation:
combine like terms -5x+9=59 subtract 9 from both side and get -5x=50 so x=-10
Answer:
10 degrees
Step-by-step explanation:
sdfsdfs
Answer:
y = -0.25x - 6
Step-by-step explanation:
You can either just read off the slope m = -0.25 and the intersection with the vertical n = -6 or you form a system of equations from points you choose on the graph. For example:
(0,-6);(4,-7)
The general equation for a line:
y = m*x + n
The two points on the graph form a system of two equations:
1. -6 = m*0 + n
2. -7 = m*4 + n
You can read off n right away fro equation 1:
n = -6
Plugging n into equation 2:
-7 = m*4 - 6 => -1 = m*4 => m = -1/4
Answer:
Step-by-step explanation:
m∠1 = 50°
m∠2 = 88°
Step-by-step explanation:
Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.
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
