Answer:
A)

B)

C)

Step-by-step explanation:
We are given the function:

A)
Given that h(1) = 20, we want to find <em>k</em>.
h(1) = 20 means that <em>h</em>(x) = 20 when <em>x</em> = 1. Substitute:

Simplify:

Anything raised to zero (except for zero) is one. Therefore:

B)
Given that h(1) = 40, we want to find 2<em>k</em> + 1.
Likewise, this means that <em>h</em>(x) = 40 when <em>x</em> = 1. Substitute:

Simplify:

We can take the natural log of both sides:

By definition, ln(e) = 1. Hence:

Therefore:

C)
Given that h(1) = 10, we want to find <em>k</em> - 3.
Again, this meas that <em>h</em>(x) = 10 when <em>x</em> = 1. Substitute:

Simplfy:

Take the natural log of both sides:

Therefore:

Therefore:

Answer:
The area of the trapezoid is 40 square inches
Step-by-step explanation:
Here, we want to find the area of the given trapezoid
Mathematically, we apply the formula for the area
In this case, a will be 10, b will be 6 and h will be 5
Substituting these values, we have that ;
A = 1/2(10 + 6)5
A = 1/2(16)(5)
A = 40 square inches
<span>30x9.2= 276 miles 9.2x3.15=$28.98 So the car can drive 276 miles if you put $28.98 of gas in it.</span>