Answer:
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Step-by-step explanation:
A dozen eggs will have 12 individual eggs. Hence the sample space will be whole numbers from 0 to 12
Answer:
Step-by-step explanation:
Given is a Differential equation as

To bring it to linear form we can divide the full equation by x

This is of the form
y'+p(x) *y = q(x)
p(x) = 1/x
So find

Solution is

Use the initial value as y(e) =1

So solution is

Answer:
40 hours will it take for the pool to fill.
Step-by-step explanation:
A pump can fill a swimming pool in 8 hours.
Work done by pump to fill in 1 hour is 
The pool also has a drain that can empty the pool in 10 hours.
Work done by pump to drain in 1 hour is 
If someone turns on the pump to fill the pool, but forgets to shut the drain.
Work done by both pipe in 1 hour is




Both pipe filled
part of pool in hours = 1
Both pipe filled complete pool in hours = 
Therefore, 40 hours will it take for the pool to fill.
The area of a circle is pi*r^2.
The angles in a circle add up to 360 degrees.
Let's say I have a circle with radius 2.
The total area of the circle is pi* (2^2) = 4pi
Let's say I cut out 15 degrees of this circle. This piece is 15 out of 360 of the whole circle.
The area of this part is (15/360) * 4pi
The rest of the area is (360-15)/360 * 4pi.
I hope this helps.