Answer: Option C

Step-by-step explanation:
To solve this problem use the properties of the logarithms.
We know that the inverse function of
is
.
So when composing the function with its inverse function we have to:
.
Now apply this property on both sides of the equation

the answer is the option C
Answer:

Step-by-step explanation:
**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula:
To calculate rate of change, differentiate.
substitute y for
:

Take natural logs of both sides:

Apply the log rule
:

Differentiate with respect to
:

Mulitply both sides by
:

Replace
with 

Therefore, rate of change of the function is :

Answer:
hypotenuse = 10
Step-by-step explanation:
If you can tell at first glance it is a 3,4,5 triangle (6,8,10)/2=(3,4,5). Then you know that c has to equal 5.
If not,
a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
10=c
Answer:
In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters. The surface area of a 7 cm cube will be 294 cm2 . Hope this helps!