Answer:
Step-by-step explanation:
Let’s break this apart.
Box= 12cm x 8cm x 6cm
Cube= 2cm x 2cm x 2cm
How many cubes fit in the box?
calculate the volume of the box. To do this, multiply the length by the width by the height (L x W x H)
12 x 8 x 6 = 576cm cubed
2. Calculate the volume of the cube. Once again we multiply L x W x H
2 x 2 x 2 = 8cm cubed
3. Next we divide the volume of the box by the volume of the cube
576 / 8 = 72 cubes
Therefore, it would take 72 cubes to fill a box.
Answer:
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:

In this question:
We have to derivate V and r implicitly in function of time, so:

The radius of a sphere is increasing at a rate of 3 mm/s.
This means that 
How fast is the volume increasing when the diameter is 60 mm?
Radius is half the diameter, so
. We have to find
. So


The volume is increasing at a rate of 33929.3 cubic millimeters per second.

Pooled Combined Variance 
Test Statistic:



Degrees of freedom = 


The table value is greater than the calculated value.
Thus we accept H0.
Answer:

Step-by-step explanation:
A way to find the inverse function is to swap the x and y (f(x)) in the equation.

We can check that it is an inverse function by using a property of inverse functions:

If we plug in the f(x) function into the variable x of the inverse function, we should end up with x

It checks out!
Answer:
-2 11/35
Step-by-step explanation:
Hope it helps :)