Answer:
The linear function is
Step-by-step explanation:
A linear function has the following format:
In which m is the slope and b is the y-intercept(the value of y when x = 0).
In the table, we have that when x = 0, y = 2
This means that . So
Finding the slope:
We take two points, and the slope is given by the change in y divided by the change in x.
Points (0,2) and (1,-1)
Change in y: -1 - 2 = -3
Change in x: 1 - 0 = 1
Slope:
So
The volume of the styrofoam collar is approximately 1,960.35
Step-by-step explanation:
Step 1:
The given styrofoam collar is a hollow cylinder. A hollow cylinder consists of an outer radius and an inner radius.
This given hollow cylinder has an outer radius of 8 inches and an inner radius of 5 inches. The height of the cylinder is 16 inches.
To calculate the volume of a hollow cylinder we subtract the volume of a cylinder constructed with the inner radius from the volume of a cylinder with the outer radius.
Step 2:
The volume of a cylinder,
For the outer cylinder, inches and
inches.
The volume of the outer cylinder,
For the inner cylinder, inches and
inches.
The volume of the inner cylinder,
Step 3:
The volume of the styrofoam collar
The volume of the styrofoam collar
Rounding this off, we get the volume of the styrofoam collar as 1,960.35
Answer:
The population of this country in 11 years will be 76972702.82
Step-by-step explanation:
The population of this country in 11 years can be calculated using the formula
Population in 11 years = Starting population x
Thus
Population in 11 years =50000000× =76972702.82