Answer:
(a) The total area of compound figure is
.
(b) The total perimeter of compound figure is 68.84 ft.
Step-by-step explanation:
Perimeter: The total distance covered by the figure.
Area: It is defined as the space occupied by the figure.
Given:
Length of rectangular figure = 19 ft
Breadth of rectangular figure = 12 ft
Radius of circle, r = 
Part (a):
Now calculating the total area of the compound figure.

Now putting all the given values in this formula, we get:

Part (b):
Now calculating the total perimeter of the compound figure.

Now putting all the given values in this formula, we get:

Answer:
10 boxes
Step-by-step explanation:
Take the number of fossils and divide by the number per box to determine the number of boxes
60/6 = 10
She needs 10 boxes
For this case we have the following function:

By definition, the average rate of change is given by:

We evaluate the function for the given values:
For x = 7:

For x = 14:

Then, replacing values we have:
Answer:
the average rate of change from x = 7 to x = 14 is:
a. 23.22
Answer:
The event is mutually exclusive.
Step-by-step explanation:
Mutually exclusive events are events that cannot exist simultaneously.
Thus, events that are not mutually exclusive can exist simultaneously.
Since each student only has one major, a single student cannot be both a mathematics major and a business major.
So, the event is mutually exclusive.
Answer:
72
Step-by-step explanation: