Answer:
30
Step-by-step explanation:
The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...

should be interpreted to mean ...

___
To evaluate f(g(6)), we first evaluate g(6):
g(6) = 6² -5 = 31
Then we evaluate the function f using that as its argument:
f(31) = 31 -1 = 30
f(g(x)) = 30
Answer:
C
Step-by-step explanation:
Since we are given three sides and we want to find an angle, we can use the law of cosines.
The law of cosines is given by:

In this case, a = 3, b = 5, and c = 7. Therefore:

Evaluate:

Therefore:

Dividing both sides:

And by taking the inverse cosine of both sides:

Our answer is C.
Answer:
90 minutes or 1 hour and 30 minutes
Step-by-step explanation:
If 18 minutes is 20% of the work time then you will have to get the 20% to 100% so i divided 20 by 100 and that got me 5 so I put 5 times 18 then that got me 90.
Answer:
Event A has 13/52 outcomes.
Step-by-step explanation:
Total no of cards in a deck = 52
No of clubs in a deck = 13
Event A has outcomes = No of clubs in a deck/Total no of cards in a deck
= 13/52
So, Event A has 13/52 outcomes.