When answering things like this do the brackets first, is there are parenthesis in the brackets do those but keep it in the brackets and work regularly after
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1 answer:
To begin with, let us look at a few definitions that will help
A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.
If we use a graph to check, we will have
We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.
Hence, it is a function
The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.
The domain of the function, D is given by
The range, R is given by
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For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base
h: It is the height
So:
The volume of the prism is:
Now, the volume of the cubes is:
Thus, we divide and find the number of cubes to fill the prism:
ANswer:
n = 2.5