For this case, we must find the inverse of the following function:

We follow the steps below:
We exchange the variables:

We put the variable y on the left side of the equation:

We apply logarithm properties:

So:

Answer:

Option B
Step-by-step explanation:
7. x/4=-2.5
x = -2.5/4= 5/8
8. -22=n/2
n = -22×2 =-44
9. 1/3z = -5
z = -5×3 =-15
10. -1/4x=5/2
-2=5×4x
-2=20x
x=-20x/2=-10
B. 9*10^16 (because in question give it)
B. 3*10^9 (because answer to first question is divided by seconds in one year (365*24*60*60).
34% of the scores lie between 433 and 523.
Solution:
Given data:
Mean (μ) = 433
Standard deviation (σ) = 90
<u>Empirical rule to determine the percent:</u>
(1) About 68% of all the values lie within 1 standard deviation of the mean.
(2) About 95% of all the values lie within 2 standard deviations of the mean.
(3) About 99.7% of all the values lie within 3 standard deviations of the mean.



Z lies between o and 1.
P(433 < x < 523) = P(0 < Z < 1)
μ = 433 and μ + σ = 433 + 90 = 523
Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.
i. e. 
Here μ to μ + σ = 
Hence 34% of the scores lie between 433 and 523.
Step-by-step explanation:
You can imagine this figure as a rectangle and cube
If you want volume of this irregular figure than you have to do it like this:
V(figure)= V(rectangle)+ V(cube)
V(figure)= a*b*c+ a³
V(figure)= 4*3*(I don't see dimension on the left)+ 3³
V(figure)=12*(I don't see dimension on the left)+ 27
And only you have to to do is to set this dimension which I can't see.