Answer:
We have the sentence:
"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"
Let's break it into parts.
"X by the power of 5 times y to the power of 6..."
This can be written as:
x^5*y^6
"... 2 by the power of -2 times x by the power of 0times x by the power of 9"
This can be written as:
2^(-2)*x^(0)*x^(9)
And we have the quotient between the first thing and the second thing, then the equation is:
And any number by the power of 0 is equal to 1, then:
x^0 = 1, then we can rewrite the equation as:
We can keep simplifying this.
We know that:
a^(-n) = (1/a)^(n)
Then:
2^(-2) = (1/2)^2 = 1/4
Then we get:
And we also know that:
a^n/a^m = a^(n - m)
Then:
And we can't simplify this anymore.
The answer is $300 because you have to multiply 25x12. 10x25=250 and 2x25=50. 250+50=300.
Using an exponential function, it is found that:
- For Country A, the doubling time is of 43 years.
- For Country B, the growth rate is of 1.9% per year.
<h3>What is the exponential function for population growth?</h3>
The exponential function for population growth is given as follows:
In which:
- P(t) is the population after t years.
- P(0) is the initial population.
- k is the exponential growth rate, as a decimal.
For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:
t = 43 years.
For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.
k = 0.019.
For Country B, the growth rate is of 1.9% per year.
More can be learned about exponential functions at brainly.com/question/25537936
#SPJ1
Answer: square root of 10
Step-by-step explanation:
Graph D, because no x-value repeats and it passes the vertical line test.
