Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:
y=60+25sin(pi/6)t
The maximum value will occur when 
, and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is 
. So
That is the number of months after April 15, which is 3 months. So July 15.
The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
Hey!
-------------------------------------------------
If a chef bought 9 apples and each pie takes 2 apples then all we have to do is divide.
9 / 2 = 4.5
4 full pies can be made with 9 apples.
4 x 2 = 8 (apples were used to make 4 pies.)
9 - 8 = 1 (apple remaining)
If one pie needs 2 apples, subtract.
2 - 1 = 1 (pies the chef needs to make the last one)
-------------------------------------------------
Answer: The last pie would need 1 more apple.
-------------------------------------------------
Hope This Helped! Good Luck!
Answer:
first y then x because y represents 22 and x represents 4 a week.
