Answer:
It will take the 20 years for the population to quadruple.
Step-by-step explanation:
Exponential population growth:
An exponential model for population growth has the following model:
In which P(0) is the initial population and r is the growth rate, as a decimal.
It grows with a doubling time of 10 years.
This means that 
. We use this to find r. So
![\sqrt[10]{(1+r)^10} = \sqrt[10]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B%281%2Br%29%5E10%7D%20%3D%20%5Csqrt%5B10%5D%7B2%7D)
So
Determine how long it will take for the population to quadruple.
This is t for which P(t) = 4P(0). So
It will take the 20 years for the population to quadruple.
Answer:
Step-by-step explanation:
In this problem, we are substituting for x.
Let us take a look at our given answers.
x = -13 and x = -3 would not work because the numbers would not add up to -5. Since we have the positive brackets (or whatever you call them.) surrounding the x variable, that means that all numbers that are plugged into x will be positive.
-13 will be turned into 13,
13 - 8 
-5
So that is wrong.
x = 3 and x = 3 would work because plugging it in, all outcomes from the two numbers would be negative.
3 - 8 = -5
- 8 = -5
True.
The third one won't work because of the same reasons as the first one.
Then, the last one would not work well because, there is a solution.
Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
d)The trig function cosine is equal to
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
d)The trig function tangent is equal to
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
Answer: yes
Step-by-step explanation:
