The area of the carpet is the amount of space it occupies
- The area of the carpet tile is 256 square inches
- The area covered by 120 tiles is 30720 squares inches
<h3>How to determine the carpet area</h3>
The dimension of the carpet tile is 16 inches by 16 inches
So, the area is:

Evaluate the product

Hence, the area of the carpet tile is 256 square inches
For 120 carpet tiles, the area is:


Hence, the area covered by 120 tiles is 30720 squares inches
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Answer:
Verified


Step-by-step explanation:
Question:-
- We are given the following non-homogeneous ODE as follows:

- A general solution to the above ODE is also given as:

- We are to prove that every member of the family of curves defined by the above given function ( y ) is indeed a solution to the given ODE.
Solution:-
- To determine the validity of the solution we will first compute the first derivative of the given function ( y ) as follows. Apply the quotient rule.

- Now we will plug in the evaluated first derivative ( y' ) and function ( y ) into the given ODE and prove that right hand side is equal to the left hand side of the equality as follows:

- The equality holds true for all values of " C "; hence, the function ( y ) is the general solution to the given ODE.
- To determine the complete solution subjected to the initial conditions y (1) = 3. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

- To determine the complete solution subjected to the initial conditions y (3) = 1. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

The true statements are
The mean is near the median.
The mean is the best measure of center.
The five-number summary is the best measure of variation
<h3>What is a histogram? </h3>
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.
To learn more about histograms, please check: brainly.com/question/14473126
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Answer:
Step-by-step explanation:
You take the starting year of 1990 and subtract it from 1999 to get the year span of 9,
You then take the amount per year the population goes up by which is 300, so 300 multiplied by 9 is 2,700
You add 2,700 to 21,152 to get B-23,852