Answer:
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.The primary reason for converting numbers into scientific notation is to make calculations with unusually large or small numbers less cumbersome.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (3, -7), (7, 2)
(3, -7) = (x1, y1)
(7, 2) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:

Simplify:
2 - (-7) = 2 + 7 = 9
7 - 3 = 4

The slope is
.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:



The y-intercept is
.
Now that we know the slope and the y-intercept, we can write the equation:

Answer:
Therefore 200.96 ft.of fencing are needed to go around the pool path.
Step-by-step explanation:
Given, a circular swimming pool has a radius of 28ft. There is a path all the way around the pool. The width of the path 4 ft.
The radius of the outside edge the pool path is
= Radius of the pool + The width of the path
= (28+4) ft
= 32 ft.
To find the length of fencing, we need to find the circumference of outside the pool path.
Here r= 32 ft
The circumference of outside edge of the pool path
=

=200.96 ft.
Therefore 200.96 ft.of fencing are needed to go around the pool path.
Answer:
The inverse of f(x) is 
Step-by-step explanation:
To find the inverse of the function
, perform the following steps:
1) do

2) Solve the equation for the variable x.


3) exchange the variable x with the variable y
----> 
4) Change the variable y by 
Finally the inverse function is:

Answer:
The perimeter is 1280ft
Step-by-step explanation:
Let the side length of the square be s.
Then the distance around three sides is 3s.
According to the question the distance around 3 sides of a square city block is 960 feet.
This implies that:



The perimeter of a square is

Substitute s=320 to get:


The perimeter is 1280 ft