5 People can be chosen in 1287 ways if the order in which they are chosen is not important.
Step-by-step explanation:
Given:
Total number of students= 13
Number of Students to be selected= 5
To Find :
The number of ways in which the 5 people can be selected=?
Solution:
Let us use the permutation and combination to solve this problem

So here , n =13 and r=5 ,
So after putting the value of n and r , the equation will be





Answer:
Hi! The answer to your question is D. q = 0
Step-by-step explanation:
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Answer:
Changing value of "d" changes the vertical shift of the cosine graph.
Step-by-step explanation:
Question says to find about how does your cosine graph change when including the d-value.
General equation of cosine function can be given as:

In that formula, value of "d" gives vertical shift.
So changing value of "d" changes the vertical shift of the cosine graph.
Answer:
D
Step-by-step explanation:
∠1 + ∠2 = 180 {Supplementary angles}
6x + 15 + 3x + 3 = 180
6x + 3x + 15 + 3 = 180
Combine like terms
9x + 18 = 180
Subtract 18 from both sides
9x = 180 - 18
9x = 162
x = 162/9
x = 18
∠2 = 3x +3
= 3*18 + 3
= 54 + 3
∠2 = 57°