Answer:

Step-by-step explanation:
The given sequence is
-12,-16,-20...
The first term of this sequence is
.
The common difference is


The nth term of this arithmetic sequence is;

We substitute the values for the first term and the common difference to obtain;

Answer:
D) x = 4, y = -2, z = 3
Step-by-step explanation:
x = 3z − 5
2x + 2z = y + 16
2(3z - 5) + 2z = y + 16
6z - 10 + 2z = y + 16
8z = y + 26 ---> (A)
7x − 5z = 3y + 19
7(3z - 5) - 5z = 3y + 19
21z - 35 - 5z = 3y + 19
16z = 3y + 54 ---> (B)
8z = y + 26
16z = 3y + 54
2(y + 26) = 3y + 54
2y + 52 = 3y + 54
y = -2
8z = -2 + 26
8z = 24
z = 3
x = 3(3) - 5
x = 4
Answer:
2pi/5
Step-by-step explanation:
The only thing in this equation that affect the period is the '5' in front of the 'x'
cos period is usually 2pi
this is compressed by 5
period = 2pi/ 5
Answer:
you have to write the way you did the problem
Step-by-step explanation:
Answer: D) 0.733.
Step-by-step explanation:
Let C denotes the number of employees having college degree and S denote the number of employees are single.
We are given ,
Total = 600 , n(C)=400 , n(S)=100 , n(C∩S)=60
Then,

Now, the probability that an employee of the company is single or has a college degree is

Hence, the probability that an employee of the company is single or has a college degree is 0.733