Using the fact that cos is 2π-periodic, we have
That is, 
for any 
and integer 
.
We get 2 solutions in the interval [0, 2π] for 
and 
,
1/27
1/27
125
Step-by-step explanation:
Given that,
a - b = 3
9^(1/2b) /3^a = 3^(2/2b) /3^a
= 3^b/3^a
= 3^(b-a)
= 3^(-3)
= 27^(-1)
= 1/27
27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)
= 3^b/3^a
= 3^(b-a)
= 3^(-3)
= 27^(-1)
= 1/27
125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)
= 5^a/5^b
= 5^(a- b)
= 5^3
= 125
Answer:
First, find 20% of the 200 books. Then, subtract that amount by the total and divide that amount by 20 to receive your answer.
Step-by-step explanation:
20 x 200
/100 = 40
Therefore, there are 40 books missing.
200-40 = 160
160/20 = 8 shelves are filled with books.
There are 10 shelves in total: 160 books are on 8 shelves and 40 books are missing for 2 shelves
Answer:
6
Step-by-step explanation:
1/6 of 36=6
2/3 of 36= 24
24+6=30
36-30=6
Answer: A car dealership conducted a survey to learn the preferences of their customers. The survey data is shown in the table. Given that a survey participant is female, which is the probability that she prefers a sports utility vehicle (SUV)?
Step-by-step explanation: hope this helped :)
