Answer: OPTION A
Step-by-step explanation:
It is important to remember the "Angle Addition Postulate" in order to solve this exercise.
You have this larger angle:

According to the "Angle Addition Postulate", if the point "C" is in the interior of
, then the measure of this angle can be obtained by adding the angle
and the angle
.
You can observe in the figure that:
Then you get that:

Therefore, the correct answer is Option A.
To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is
$200.
b) An employee must work
43 hours to earn $445.
Y = 5.5x is a linear equation (i.e. the highest power of the variables is 1). Therefore, the line will be a straight line with a slope of 5.5
Answer:
Option C) The average contents of all bottles of juice in the population, which is 473 mL
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 473 mL
Sample mean,
= 472 mL
Sample size, n = 30
Sample standard deviation, σ = 0.2
First, we design the null and the alternate hypothesis
Representation of 
is the population parameter that represents the population mean.
Thus, for the given situation
represents:
Option C) The average contents of all bottles of juice in the population, which is 473 mL
Answer:
It should be A.
Step-by-step explanation:
When you're using exponents, anything that has an exponent of 0 will be 1.
You can use a calculator to confirm on your own.