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.
Given expression : 
.
We need to apply power property of logs to rewrite it.
According to log rule of exponents:
If we compare given expression with the rule the exponent part is f, base is 6.
Therefore, we need to bring exponent f in front of log.
Therefore, 
.
<h3>And correct option is second option
</h3>
Answer:
7.5 rating points
Step-by-step explanation:
The computation of the rating for Men 18-34 for program X is shown below:
Given that
Number of men 18 -34 watched a program X = 15,000 = X
Number of men 18 - 34 watched in a same time = 32,000
And, the total households in the market = 200,000 = Y
So, the rating for men 18-34 for program x is
= 7.5 rating points
We simply applied the above formula
Let s be the distance traveled the second day.
1.5s+s=1380
2.5s=1380
s=552
So on the first day he traveled 1380-552=828 miles.
Answer:
Step-by-step explanation:
The sinusoidal function has a general form of:
The period is given by:
Y is the y-intercept, thus y = 3.
At the maximum value:
At the minimum value:
Therefore, the equation of the function described is:
