Answer:vertices
Step-by-step explanation:
Answer by JKismyhusbandbae: B) –10.6
Work/Explanation: Since the sequence slowly gets smaller, it is likely that each term is something added to (subtracted from) the previous term. To get from –7.9 to –8.8, it appears that the first has had –0.9 added to it. Continue adding –0.9 to get that the fourth term is –10.6.
Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
Answer:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Step-by-step explanation:
Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (
) after a certain amount of years (t) is given by the following formula:

Where:
- Initial amount of jobs in pipe fitting industry, measured in thousands.
- Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)
If
,
and
, then:


The percent change in jobs from pipe fitting industry is calculated as follows:



The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,


So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:

Where, B is the base area and r is the radius.


So, the base area is
square inches.
The volume of the cylinder is:


Where, r is radius, h is height, B is base area.
Putting
and
, we get


So, the volume is
cubic inches.
Therefore,
.