I’m taking a test
1 answer:
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Answer:
You can arrange the books 3,628,800 different ways.
Step-by-step explanation:
You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.
Going left-to-right, the first slot has 10 available books.
Total combinations: 10
The 2nd slot has 9 available books.
Total combinations: 10 * 9
The 3rd slot has 8 available books.
Total combinations: 10 * 9 * 8
This continues for all 10 slots.
Eventually, for slot 10, there is only 1 book possible.
Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"
Thus, the total number of combinations is:
Answer: You can arrange the books 3,628,800 different ways.
Answer:
Yes, "y" varies directly with "x".
The equation is:
Step-by-step explanation:
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
If you solve for "k", the equation is:
Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":
- Dividing by
you get:
- Divide by
:
- Dividing by
:
Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:
Therefore, the equation for the Direct variation is:
This is the notes to finding the parabola
