Answer:
Step-by-step explanation:
The answer A on 2021
For this case we have that by definition, the volume of a cube is given by:

Where:
l: It's the side of the cube
According to the statement data:

Substituting in the formula we have:

Thus, the shipping cube volume is
Answer:

PART A
The equation of the parabola in vertex form is given by the formula,

where

is the vertex of the parabola.
We substitute these values to obtain,

The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.




Hence the equation of the parabola in vertex form is

PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

This implies that

We expand to obtain,

This will give us,


This equation is now in the form,

where

This is the standard form
Answer:
2.14%
Step-by-step explanation:
Hopefully this helps!
Answer:
y = 60
Step-by-step explanation:
<h3>Step 1: Make sense of the given</h3>
"The ratio of y to x is 3"
This means that, 
"The sum of y and x is 80"
This means, 
<h3>Step 2: Make use of the facts</h3>
If
, then
.
We can plug this into the other equation by substitution:

This simplifies to:

Which we can solve out and get:
.
<h3>Step 3: Plug and Chug</h3>
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "
".
And now we substitute the value of x, into this.

By solving this out, we get:

So, the value of y is 60.