Answer:
Step-by-step explanation:
So we have the function:
To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:
Add 9 to both sides:
Take the natural log of both sides:
The right side cancels:
Divide both sides by 6:
And we're done!
Answer:
Step-by-step explanation:
I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as
which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:
which gives us, in the end,
y = 9460
Given:
After driving for 20 minutes, Juan was 62 miles away from his apartment.
After driving for 32 minutes Juan was only 38 miles away.
The time driving and the distance away from his apartment form a linear relationship.
To find:
The independent and dependent variables.
Solution:
If the value of a variable depends on the another, then it is called dependent variables.
If the value of a variable does not depend on the another, then it is called independent variables.
In the given problem, the distance of Juan from his apartment depends on the time he drove. So,
Dependent variable = Distance of Juan from his apartment in miles.
Independent variable = Time he drove
Answer: $445.83
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Let V = Event of selecting vegetarian employee
N = Event of selecting employee who owns a Nissan Leaf.
Given: Total employees = 97
n(V) = 31
n(N) = 36
n(N and V) = 6
By formula,
n(N or V) = n(V) + n(V) - n(N and V)
= 31+36-6
=61
By probability formula,
Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf =
