Answers
Part 1: 210
Part 2: 24
Explanation
Part 1
This is called combination.
ⁿCm means, the number of different combinations of m objects out of n objects.
¹⁰C₆ = 10!/10!(10-6)!
= 10!/(6!×4!)
=210
Part 2
This is called permutation.
If you have nPm, this means the number of permutations of m objects out of n.
It's solve as follows;
nPm = n!/(n-m)!
⁴P₃ =4!/(4-3)!
= 4!/1!
= 24
Given:
The last year sales = $288,000,000
Company increased its sales from last year to this year by 34%.
To find:
The this year's sales to the nearest million dollars.
Solution:
We have,
The last year sales = $288 million
The company increased its sales from last year to this year by 34%. So,
This year's sales 



Therefore, this year's sales were 386 million dollars or $386,000,000.
In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number
such that

In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number
such that

So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.
For example, any sequence starting with

Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.
The point slope form is y - 8 = 4(x + 6) and the slope intercept form would be y = 4x + 32.
In order to find this, we'll start with the base form of point-slope form.
y - y1 = m(x - x1) ----> Plug in the numbers
y - 8 = 4(x - -6) ----> Simplify
y - 8 = 4(x + 6)
Now to find slope intercept form, solve for y.
y - 8 = 4(x + 6) ----> distribute the 4
y - 8 = 4x + 24 -----> add 8 to both sides
y = 4x + 32
Answer:
Option C
Step-by-step explanation:
Exteriore angle property: Exterior angle equals the sum of opposite interior angles.
∠I = 77° + 56°
= 133°