Answer:
Step-by-step explanation:
There are two ways we can solve this equation.
<h2>
A) Using the formula provided</h2>
The formula provided states that the volume of a cube based on the area of one of it's faces will be 
, a the area of one face. Since we know the area of one face, we can substitute that inside the equation.
It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.
So - becomes 
Therefore, the volume of this cube will be 
<h2>B) Using prior knowledge about cubes</h2>
We can additionally use prior knowledge to find the volume of this cube.
We know that the area of a square will be 
, where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is 
.
Since we know that one face is 100, we can make an equation - 
Now that we know the value of s, we can plug it into the volume formula, .
So the volume is .
Hope this helped!
Answer:
<h3>The 5th term is 30</h3>
Step-by-step explanation:
Given the formula
f(n) = n² + 5
where n is the number of terms
So from the question we were told to find the 5th term that's
n = 5
In order to find the 5th term substitute the value of n that's 5 into the rule
We have
f(5) = 5² + 5
= 25 + 5
= 30
<h3>f(5) = 30</h3>
So the 5th term of the sequence in the given rule is 30
Hope this helps you
The full length of the journey = 3150 miles
on the first day they completed = 567 miles
suppose 567 is x% of 3150 So
3150 x = 567
--------------
100
let us multiply both sides by 100 and divide both sides by 3150
x= 567 * 100
---------------
3150
x= 18
Answer is 18 %
To solve this problem we need to know the form of the general equation of the line. That is, y= mx+b where m is the slope and b is the intercept. We are already given the y-intercept (2) our next step is to fin the slope. Substitute the point give (1,1) in the equation y= mx+2 and then solve for m. The slope is then -6. The final equation is y = -x+2 or <span>x + y - 2 = 0</span>
