Answer:
Angle A=60
Step-by-step explanation:
If ABC is approximately equal to DEF, A=D.
So x+30=2x
x+30=2x -> 30=x
If A=x+30 and x=30 then 30+30=60.
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
You need to determine what is happening in the situation maybe? If the number is increasing then it would be + or x and if they were decreasing it would be / or -
Answer:
g > 2t , 15 t + 9g >500 are the inequalities which can be used to find the value of g and t.
Step-by-step explanation:
Earning at grocery store = $9 per hour
Earning as tutor = $15 per hour
Let the number of hours she tutors = t
and the number of hours she works at grocery store = g
Total earning she wants = $500
Now, the earning from tuition = 15 t
Earning from Grocery store= 9g
According to the question:
g > 2t
15 t + 9g >500
Hence, both the above inequalities can be used to find the value of g and t.