Number of ways to select 3 books from 13 books for adoption is 286 .
<u>Step-by-step explanation:</u>
A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:
- Repetition is Allowed: such as the lock above. It could be "333".
- No Repetition: for example the first three people in a running race. You can't be first and second.
Formula is given by:
, where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.
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∴ Number of ways to select 3 books from 13 books for adoption is 286 .
Y= 3x + 3. Use rise (how many it goes up or down) and divide it by run (how many it goes left or right) that number is your slope (aka M/ the number that goes with x. The number without the x attached is just where the line crosses the y axis
Answer:
first option: Harulo is correct because the angle is coterminal with 3π / 4 and the reference angle is π / 4.
Explanation:
1) 19 π/4 = 4π + 3 π/4, which is 4 complete turns and 3/4 of turn.
2) 3 π/4 is in the third quadrant, so the reference angle is π - 3 π/4 = π/4
3) sin (π/4) = sin (3π/4) = (√2) / 2
4) csc (π/4) = 1 / [ sin (3π/4) ] = 1 / [ (√2) / 2 ] = 2 / (√2) = √2, which shows the validity of the statement and csc(19π/4) = √2.
The radius is half the diameter. 19*2=38. The diameter is 38.
First, you do the distributive property on:
4(2n+3)
You would get
8n+12
Then add the original part of the equation in (4n)
4n+8n+12
Combine like terms
12n+12 is the answer
