Answer: The description are as follows:
Step-by-step explanation:
Correlation coefficients is a statistical measure that measures the relationship between the two variables.
(a) r = 1, it means that there is a Perfect positive relationship between the two variables. If there is positive increase in one variable then other variable also increases with a fixed proportion.
(b) r = -1, it means that there is a perfect negative relationship between the two variables. If there is positive increase in one variable then other variable decreases with a fixed proportion.
(c) r = 0, this is a situation which shows that there is no relationship between the two variables.
(d) r = 0.86, this is a situation which shows that there is a fairly strong positive relationship between the two variables.
(e) r = 0.06, it is nearly zero which represents that either there is a very minor positive relationship between the two variables or there is no relationship between them.
(f) r = -0.89, this is a situation which shows that there is a fairly strong negative relationship between the two variables.
Given that a species of beetles grows 32% every year.
So growth rate is given by
r=32%= 0.32
Given that 100 beetles are released into a field.
So that means initial number of beetles P=100
Now we have to find about how many beetles will there be in 10 years.
To find that we need to setup growth formula which is given by
where A is number of beetles at any year n.
Plug the given values into above formula we get:


now plug n=10 years

Hence answer is approx 1606 beetles will be there after 20 years.
Now we have to find about how many beetles will there be in 20 years.
To find that we plug n=20 years

Hence answer is approx 25791 beetles will be there after 20 years.
Now we have to find time for 100000 beetles so plug A=100000





33.174666862=n
Hence answer is approx 33 years.
Answer:

Step-by-step explanation:
<u>Translations</u>
For 




Parent function: 
Translated 2 units right: 