Answer:
Your answer is B. I had some help from my mom.
Step-by-step explanation:
the average rate of change on the interval [1, 2] is found by computing
(f(2) - f(1))/(2 - 1)
= ((4^1+2) - (4^0+2)/1
= (6-3)
= 3
Answer: 
Step-by-step explanation:
A rectangular prism is a three-dimensional solid.
A rectangular prism has six faces (each one of these faces are rectangles), eight vertices and twelve edges.
You know that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters (
).
Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with:

Where
is the volume of one layer.
Substituting, you get:

Answer:
Vertical Asymptote:

Horizontal asymptote:
it does not exist
Step-by-step explanation:
we are given

Vertical asymptote:
we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf
we know that any log becomes -inf when value inside log is zero
so, we can set value inside log to zero
and then we can solve for x

we get

Horizontal asymptote:
we know that
horizontal asymptote is a value of y when x is +inf or -inf
For finding horizontal asymptote , we find lim x-->inf or -inf



so, it does not exist
To determine the length of the hypotenuse, we need a relation that would relate the other legs and the hypotenuse of the triangle. So, we would need to use the Pythagorean theorem which is an equation that relates the hypotenuse with the other legs of a right triangle. It is to be noted that this is only usable for right triangles only. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse and a, b are the other legs.
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √100
c = 10 m
Therefore, the length of the hypotenuse with the other legs having a length of 6 and 8 would be 10 m.
Hey!
So we have 6 multiplied by -12 and that is over 10
so we are multiplying a positive number by a negative number. When you do that the answer will be a negative number.
Now we have -72/10
we can simplify that more
divide the numerator and denominator by 2 because that is the largest number that is divisible by both number
now it is -36/5
The answer is -36/5
Hope this helps!