Answer:
387
Step-by-step explanation:
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or

ancestors.
In the third generation we have 8 ancestors ot

ancestors.
We can see that each succesive generation has two times more members. The sum is:

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>

<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements
For this question:
a1 = 2
r = 2
n = 40
</span>

<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years
c.
Total number of people who have ever lived = </span>

Number of ancestors in 40 generations =

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
Answer:
The center is (-3,2) and the radius is r=2
Step-by-step explanation:
The general equation of the given circle is

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;



The quadratic trinomials in x and y on the left side of the equations are perfect squares.
We factor to obtain;


Comparing to:

The center is (-3,2) and the radius is r=2
Answer:
The answer is 16.
Step-by-step explanation:
6 x 3 = 18
18 - 2 =16
Answer:
x is the reciprocal of the difference of a and b.
Step-by-step explanation:
ax=bx+1
Subtract by bx on both sides
ax-bx=1
x(a-b)=1
x= 1/(a-b)