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:
Step-by-step explanation:
The temperature at a given altitude is
y = 36 - 3x
The temperature on the surface of the planet is the point (0,t) where t is the temperature for the given height.
y = 36 - 3*0
y = 36
So at the surface of the planet is 36 degrees C.
======================
Effectively it is the slope of the equation which is - 3
So ever km going up will mean a loss of 3 degrees. I think they want you to write -3
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at and point Q at in the proportion a:b, we use the formula:
line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:
Answer:
36 erasers
Step-by-step explanation:
Let number of erasers be e
let number of rulers be r
We can write:
e + r = 70
and
After giving away, he has
Erasers: 2/3e
Rulers: r - 10
These two are equal, so we can write and solve:
2/3e = r - 10
2/3e + 10 = r
Putting this in initial equation, we have:
e + (2/3e + 10) = 70
5/3e + 10 = 70
5/3 e = 60
e = 36
And rulers is:
r = 2/3(36) + 10 = 34
Hence, he had 36 erasers in the beginning
Answer: The initial value of a function is its value when equals zero. This is the same as the -intercept. We can see from the graph that our line crosses the -axis at the point zero, eight. Therefore, the initial value is eight.
Step-by-step explanation: