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There are ways for the teacher to decide which student she will teach during each lesson time if she must teach each student exactly 3 times. Here, "!" represents the factorial.
A number's factorial is the result of multiplying the integer by each natural number below it. Factorial can be symbolized by the letter "!". Thus, n factorial is denoted by n! and is the result of the first n natural numbers.
A whole number's "n" factororial is the sum of that number and each whole number up to one.
When a question asks you to determine how many different ways you can arrange or order a given number of items, you use a factorial.
Learn more about factorials here:
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Answer:
700
Step-by-step explanation:
Given:
Daily evening newspapers in 2015 = 389
Percentage decrease from 2000 to 2015 = 46.5%
To find:
Number of newspapers in 2000 = ?
Solution:
Let the number of newspapers in 2000 =
When 46.5% of the total newspapers in 2000 () is subtracted from the total newspapers in 2000 (
), it will be equal to the number of newspapers in 2015.
Making the equation as per the given statement:
Therefore, the answer is:
There were <em>727 </em>newspapers in 2000.
1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: .