Exact form -9/20 or in decimal form is -0.45
Answer:
Height = 5
Minimum number of vertices in a binary tree
whose height is h.
So, there must be At least one node at each of first h levels.
Minimum number of vertices = h
So, Minimum number of vertices of height 5 is 5
The maximum number of nodes in a binary tree of height h = 
Substitute h = 5
The maximum number of nodes in a binary tree of height 5 = 
The maximum number of nodes in a binary tree of height 5 = 63
So, the maximum number of vertices in a binary tree with height 5 is 63
A)
6, 10, 14, 18
a = 6 = first term.
common difference, d = 10 - 6 = 4
nth term of an arithmetic sequence = a + (n - 1)*d = 6 + (n - 1)4
= 6 + 4*n - 4*1
= 4n - 4 + 6
= 4n + 2
nth term of the arithmetic sequence is 4n + 2
b)
different arithmetic = 3n + 5
If 108 is on the sequence, it would have a whole number solution for n.
3n + 5 = 108
3n = 108 - 5
3n = 103
n = 103/3 = 34 1/3
n is not a whole number, so 108 is not a term of the sequence.
Hope this helps.
Answer:
11.0 years
Step-by-step explanation:
The exponential function describing the population growth can be written ...
population = (initial population)×(1 +growth rate)^years
If t represents the number of years, we can fill in the values to get ...
18500 = 12000×1.04^t
Dividing by 12000 gives ...
18500/12000 = 1.04^t
Taking logarithms, we have ...
log(18500/12000) = t×log(1.04)
t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0
It will be 11.0 years until the population reaches 18,500.
For this question, will we use permutations.
So, how many people can be in the first group? 11. Then what about the second group? Well because there is already at least one person in the slot for the group it must 10. Then so on.
Then we multiply all of the terms.
11*10*9*8*7*6*5*4*3*2*1 or 11! Which means the same thing.
11! = <span>39916800
</span>
There are <span>39916800 ways to make a group.</span>
