In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when 
Profit after t months:
0 months:
This is P(0). So
1 month:
This is P(1). So
2 months:
This is P(2). So
3 months:
This is P(3). So
4 months:
This is P(4). So
5 months:
This is P(5). So
6 months:
This is P(6). So
7 months:
This is `P(7). So
After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.
For another example of a function involving numeric value, you can check brainly.com/question/24231879
Relative frequency is the value assigned to each class in the proportion of the total data set that belongs in the class.
Relative frequency formula is :
--------------------(1)
So for class 0 to 5 miles we have 247 fans. So this class frequency is 247.
Total fans surveyed is 500
So plug these values in relative frequency formula given by (1)
relative frequency = 
On simplifying we get
relative frequency = 0.494
So choice (c) 0.494 is the right answer
The angle whose sine is 0.39581 is 23.31650126° (round it how you want).
To calculate this, you need to do the inverse sine of 0.39581.
Inverse sine looks like
, however, it is not the sine of the angle to the power of -1.
Total weight = 50 lb
x = number of 3-lb weights
y = number of 10-lb weights
weight of 3-lb weights = 3x
weight of 10-lb weights = 10y
total weight = 3x + 10y
equation
3x + 10y = 50
