Knowing that your area is:

you can find the radius as:

;
With this you can evaluate the circumference as:
Answer:
2:15 p.m.
Step-by-step explanation:
Starting time 1:40 p.m.
Time on subway <u>+0:17
</u>
Time off subway 1:57 p.m.
Time walking <u>+0:18
</u>
Time at apartment 1:75
When the minutes are more than 60, you subtract 60 from the minutes and add 1 to the hours.
1 :75
+1<u> - :60
</u>
2 :15 p.m.
Daniel arrived at the apartment at 2:15 p.m.
Answer:

Step-by-step explanation:
Given the expression
.
we have to find the simplest form of the expression.

=
=
=
which is the simplest form of the given expression.
THE FUNCTION IS CONTINOUS - True
We see from the table that for every hour given, there will be a value of juice (cups) given. The graph would have been a linear graph between the time 4 hours and 8 hours with no jump or holes in the graph.
TIME REPRESENTS THE DEPENDANT VARIABLE - False
Time is the independent variable as it does not depend on any other value. The number of cups, on the other hand, depends on the number of hours, hence is a dependent variable
THE SCENARIO IS REPRESENTED BY
A LINEAR FUNCTION, SINCE THE RATE OF CHANGE, IS CONSTANT - True
The rate of change is 53 cups per hour, hence the function is linear.
AS THE AMOUNT OF TIME CONTINUES, THERE ARE FEWER CUPS OF JUICE POURED PER HOUR - False
The rate of change is a positive value, hence the number of cups poured per hour will increase
FOR EVERY ADDITIONAL HOUR, 53 CUPS OF JUICED IS POURED - True
The difference between number of cups poured hourly is a constant of 53