<span>The doubling time is the period of time required for a quantity to double in size or value. It is applied to population growth, inflation, resource extraction, consumption of goods, compound interest, the volume of malignant tumours, and many other things that tend to grow over time.</span>

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form


You can use the "cover-up" method here to easily solve for
. It involves fixing a value of
to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.
- If
, then 
- If
, then 
- If
, then 
So the integral we want to compute is the same as

and each integral here is trivial. We end up with

which can be condensed as

Answer:
1/6
Step-by-step explanation:
There are 4 different types of clothing
We want socks
P(socks) = 1/4
Now we have 3 different colors, 2 of which are not blue
P(not blue) =2/3
P(socks that are not blue) = 1/4*2/3 = 2/12 = 1/6
Answer:
If f(x)=g(x), the solution is x=-2
Step-by-step explanation:
We are given:

We need to find the solution if f(x)=g(x)
Now solving for f(x)=g(x)

If f(x)=g(x), the solution is x=-2
Answer:
A) 106 ft^2
Step-by-step explanation:
The total surface area is the area of the base triangular face and the three lateral faces.
The base triangular face has length of its base to be b=6 ft.
The height of this triangle is 5.2 ft.
The area of this triangle is


to the nearest integer
The area of the three lateral face is

The total surface area is therefore 90+16=106 square feet