We know, Volume of rectangular prism = l * b * h
If all dimensions are doubled, then it would be: 2 * 2 * 2 * v
V' = 8V
In Short, Volume will increase to it's 8 times
Hope this helps!
The function can be expressed as a rational function is
.
We have to determine
Which of the following is written as a rational function?
According to the question
A rational function is a function that can be expressed as the quotient or ratio of two polynomial functions, where the polynomial in the denominator must have a degree of at least 1.
A rational function can be expressed as;

Then,
The required rational function is expressed as;

Where p(x) is (x-5) and g(x) is 3x.
Therefore,
The function is,

Hence, the function can be expressed as a rational function is
.
To know more about Rational Function click the link given below.
brainly.com/question/15324782
Answer:
Step-by-step explanation:
Given that:
Jillian is willing to trade her wool cards for David ore cards
The double number line indicates that:
David will trade three ore cards to Jillian for six wool cards;
Based on the ratio, we have:

= 2
Thus, the number of wool Jillian would need to trade for 1 ore card will be
= 1 × 2
= 2
For 2 ore card
= 2 × 2
= 4
For 3 ore card
= 3 × 2
= 6
The number of wool Jillian would need to trade for 4 ore card will be
= 4 × 2
= 8
We have five value in the data-set
The third value will be 10 since we want the median to be 10
We want the mean to be 14
To find the mean of a data set, we divide the sum of the values by the number of values
Mean = Sum of values ÷ Number of values
14 = Sum of values ÷ 5
Sum of values = 14 × 5
Sum of values = 70
So we need 5 values that add up to 70, one of the value is 10, which is the median. We would want two values that are smaller than 10 and two values more than 10.
These four value must add up to 70 - 10 = 60
From here we can do trial and error:
Choose any two values less than 10, say 9 and 8
We now have in total 8 + 9 + 10 = 27
We have 70 - 27 = 43 left to find
Choose any two values that are bigger than 10 that add up to 43, for example, 20 and 23
Now we have our 5 values;
8 9 10 20 23
Do the checking bit:
We can see from the set, the median is 10
Mean = [8+9+10+20+23] ÷ 5 = 70 ÷ 5 = 14
We can have values other than 8, 9, 20 and 23 as long as two values smaller than 10 and two values more than 10. All five values must add up to 70.