Answer:
The unit of measure appropriate is cubic metre or cubic meter (m³)
Step-by-step explanation:
we know that
The volume of a cube is equal to

where b is the length side of the cube
In this problem we have

substitute in the formula of volume


therefore
The unit of measure appropriate is cubic metre (m³)
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<u><em>Answer:</em></u>m(x) has the same domain as (m*n)(x)
<u><em>Explanation:</em></u><u>1- For m(x):</u>m(x) is a fraction. This means that the <u>denominator cannot be zero</u>, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the <u>domain of m(x) can be any real number except 1</u>
<u>2- For n(x):</u>The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the <u>domain of n(x) is all real numbers</u>
<u>3- For (m*n)(x):</u>(m*n)(x) = m(x) * n(x) = </span>

<span>
We can note that the product is also a fraction. This means that the <u>denominator cannot be zero</u>.
The denominator here will be zero at x = 1.
This means that the <u>domain of (m*n)(x) is all real numbers except 1</u>.
<u>
This is the same as the domain of m(x)</u>
Hope this helps :)</span>
Y= 4, because the line is graphed horizontally
Boys : Girls = 3 : 5
3 + 5 = 8 parts
<u>Find 1 part:</u>
8 parts = 40 students
1 part = 40 ÷ 8 = 5 students
<u>Find number of boys and girls:</u>
3 parts = 3 x 5 = 15 girls
5 parts = 5 x 5 = 25 boys
Original Number of students = 15 : 25
<u>Find new ratio:</u>
New Ratio = 15 + 3 : 25 - 1 = 18 : 24 = 3 : 4
Answer: 3 : 4
Answer:
The new pressure is 4.27 pounds
Step-by-step explanation:
In this question, we have the volume varying inversely as the pressure;
Firstly, let's say the volume is V and the pressure is P
Mathematically;
V ∝ 1/P
Let us insert a constant of proportionality K
⇒ VP = K
Let's calculate the value of K
K = 32
× 8 = 256 
Now in the second scenario, pressure is unknown but we know the volume to be 60
Recalling; VP = K
P = K/V = 256
/60
= 4.27 pounds