Answer:
65,81,97,113,129
Step-by-step explanation:
she has 65 water bottles and she is buying boxes of water bottles (x) that hold 16 water bottles each. She can only buy up to 5 water bottles.
f(x) = 16x + 65...where f(x) = total water bottles and x = number of boxes
x < = 5 here is ur restriction
the range is ur f(x) values which represent the total number of water bottles...keep in mind, she can only buy 5. Therefore, the numbers that can be subbing in for x are 0 thru 5.
So when subbing in 0 thru 5 for x, the results for f(x) are :
{ 65,81,97,113,129 }
(a-b)^2 = a^2-2ab+b^2
(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2
= 64-80i+25i^2
i^2=-1
So
= 64-80i+25(-1)
=64-25-80i
= <em><u>39 - 80i</u></em>
which is your answer :)
Answer:
x = 19
Step-by-step explanation:
A circle has a total of 360 degrees. Because central angles are congruent to the degree measures of their arcs, and because of vertical angles we can construct the equation :
5x+37+5x+37+3x-9-9=360
We can simplify this to :
8x+28=360
Subtract 28, divide 8, and x is 19
The first one. It is called an exponential decay curve.
7:45 -1 hour=6:45
The concert started at 6:45
7:45+2 hours=9:45
The concert will be over at 9:45
The time outside the theater is
5:30a.m. or 5:30p.m.
It's most likely 5:30p.m. as 5:30a.m. is really early in the morning.