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!
_Brainliest if helped!
1 over 64
8^2 = 64 , 8^-2 = 1/(8^2) = 1/64
Answer:
64
Step-by-step explanation:
if you do 64 + 18 you will get 82.
Answer:
0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Shipped for use
Event B: Perfect shape
Probability of being shipped for use:
Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So

Being shipped for use and being in perfect shape.
0.9 probability, so 
What is the probability that a can that gets shipped for use will be of perfect shape?

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape
Answer:
75 × 12 + 30m = 990
∴ m = 3
Step-by-step explanation:
Assume the number of months Talia brings a guest to be 'm'.
So the amount of Talia has to pay for guests for one year is $ 30m .
So, <em>total amount of money Talia has pay for one year = (monthly membership cost)×(number of months in a year) + (additional amount for guests)</em>
Total cost = $990
Monthly membership cost = $75
Number of months in a year = 12
Additional amount for guests = $ 30m
∴ The equation which gives you the number of moths she brought guests is:
990 = 75×12 + 30m
990 = 900 + 30m
990-900 = 30m
30m = 90
∴ m = 3