This is a permutations problem. There are only 7 comics you can move into different time slots, the 8th one being fixed in that last position. So you can look at it this way:
For the 1st position, you can choose from all 7 people. Once you've picked that one, you have 6 people to choose from for the 2nd position, and similarly for the remaining ones . This gives you 7x6x5x4x3x2x1 = 5040 ways to arrange them. And the last comic stays in the same position all the time so does not change this number. Make sense? If you need to demonstrate it to yourself, use a smaller number of comics, like 3 or 4, and write out the combinations to see that it works.
Answer:
The height is 2.25 meters.
Step-by-step explanation:
The volume of a right rectangular prism is the product of the length, width, and height. So it would be V=w*l*h.
Because you have been given the values of the volume, width, and length, you can plug in those values into the equation to find the height. It should look like this: 43.875=5 * 3.9 * h
Then you can divide both sides of the equation by 5 * 3.9.
So... 43.875/(5*3.9)=h
therefore h= 2.25.
hope this explanation makes sense!
Answer:
x^3-1
Step-by-step explanation:
f(x)=g(x)-1 since was shifted down 1 unit x^3-1
f(x)=g(x)+1 would have been a shift up of 1 unit x^3+1
f(x)=g(x-1) shifted right 1 unit (x-1)^3
f(x)=g(x+1) shifted left one unit (x+1)^3
Anyways the answer is f(x)=x^3-1
The answer I came up with was ×^6-4. Just rewrite it. I hope this was helpful.
Answer:
Option C i.e. 2 and 9, constants have a fixed value is a correct option.
Step-by-step explanation:
In algebra, a constant is basically a fixed value.
Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.
For example: in ''2x+7=3'', 7 and 3 are constants.
- <em>Please note that the number with variable x in the term is a coefficient.</em>
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In our case:
Given the equation
Therefore, 2 and 9 are constants, having a fixed value.
Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.
