5.4 Unexpected expense. In a random sample 765 adults in the United States, 322 say they could not cover a $400 unexpected expen

The answer is 4/3, which represents the rate of change. Going up 3 and moving over 4.

There are a total of 20,000 available numbers. To ascertain how many phone numbers are available, the number of digits in each number must be known. Here, I will assume each number has 7 digits. This leads to the format starting with either 373XXXX or 377XXXX, where each X can be any digit from 0 to 9. This results in 10 options for each X. Therefore, there are 10×10×10×10 = 10,000 distinct phone numbers starting with 373 and another 10,000 with 377, totaling 20,000 numbers.

Answer:

15.6

Step-by-step explanation:

1. 
2. Insert 39/4: 39/4 ÷ 5/8
3. 39/4 ÷ 5/8 = 39/4 × 8/5
4. 39/4 × 8/5 = 312/20
5. 

I hope this information is helpful!

It's known that

When two lines are parallel, their slopes are identical.

The slope between any two points can be calculated using the following formula:

We will calculate the slope for each case to find the solution to the problem.

Case A) Point

Determine the slope of BC

Insert the values into the formula:

Thus,

The equation is parallel to the line that goes through the points

Therefore,

the result for Part A) is

------>

Case B) Point

Calculate the slope of DE

Plug the values into the formula:

Thus,

The equation is parallel to the line that goes through the points

Therefore,

the result for Part B) is

------>

Case C) Point

Determine the slope of FG

Insert the values into the formula:

Thus,

Any linear equation with slope will be parallel to the line through the points

Case D) Point

Calculate the slope of HI

Substitute the values in the formula:

Thus,

The equation is parallel to the line through the points

Therefore,

the result for Part D) is

------>

Case E) Point

Determine the slope of JK

Insert the values into the formula:

Thus,

Any linear equation characterized by slope will be parallel to the line that runs through the points

Case F) Point

Find the slope of LM

Substitute the values in the formula:

Thus,

The equation is parallel to the line connecting the points

Therefore,

the result for Part F) is

------>

Answer:

The 10th term in the geometric progression is 29.

Step-by-step explanation:

Given: In a geometric series, [T3 = 18] and [T6 = 486].

To find: The term [T10]?

Solution:

A geometric sequence takes the form [a, ar, ar^2,...]

Where, a represents the first term, and r denotes the common ratio.

The nth term is expressed as [Tn = a * r^(n-1)]

From the information provided: [T3 = a * r^2 = 18]

And [T6 = a * r^5 = 486]

By dividing the second equation by the first:

[(a * r^5) / (a * r^2)] = 486 / 18

[r^3 = 27]

Taking the cube root provides: r = 3.

Inserting r into one of the equations allows us to solve for a.

Substituting r gives: [T3 = a * r^2 = 18]

Thus, the first term is a = 2, and the common ratio is r = 3.

The 10th term in the geometric progression is computed as:

[T10 = a * r^(10-1)]

[Thus, T10 = 29.]