Answer:
46 degrees
Step-by-step explanation:
Angles 3 and 7 are corresponding angles which also means that they are congruent. Since they are congruent, angle 7 is also 46 degrees.
Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
Complete question :
In one year, the population of Douglas, the former copper mining town on the U.S.-Mexico border, shrunk by 200. Over the last ten years, the town’s population is going down at an average rate of 1.16% per year. Douglas’ current population in November 2020 is 15,140. a. Write an equation to model the population decay of Douglas using the data given. b. If the town’s population loss continues to occur at this rate, what will the population of Douglas in 6 months from now? Round your answer to the nearest integer. c. If the town’s population loss continues to occur at this rate, what will the population of Douglas in one year? Round your answer to the nearest integer. d. If the town’s population loss continues to occur at this rate, what will the population of Douglas in November 2027? Round your answer to the nearest integer.
Answer:
15052 ; 14,964 ; 13953
Step-by-step explanation:
Given that:
Rate of population decline = 1.16% annually
Population in November 2020 = 15140
A = I(1 - r)^t
Where ;
A = final population
I = initial population
r = rate of decline
t = number of years
Population in 6 months
t = 6 months = 0.5 year, r = 1.16% = 0.0116
A = 15140(1 - 0.0116)^0.5
A = 15140(0.9884)^0.5
A = 15051.931
A = 15052 ( nearest integer)
Population after 1 year :
A = 15140(1 - 0.0116)^1
A = 15140(0.9884)^1
A = 14964.376
A = 14964 ( nearest integer)
Population in 2027:
t = 2027 - 2020
A = 15140(1 - 0.0116)^7
A = 15140(0.9884)^7
A = 13952.596
A = 13953 ( nearest integer)
Answer:
Stop talking Brendan.
Step-by-step explanation:
1.tell him to stop
2.tell him to stop
3.tell him to stop
Hope it helps!
Answer:
1. 12 m
2. 15.2 ft
3. 22 km
4. 10 ft
Step-by-step explanation:
Diameter is the radius multiplied by itself to find the entire length of a circle