Answer:
.
Step-by-step explanation:
We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation , where c is number of copies still on hand and t days being available.
We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:
Now, we will use point-slope form of equation and substitute
and coordinates of point (9,50) as:
Therefore, our required equation would be .
Answer:
Step-by-step explanation:
We are given the two functions:
And we want to find:
So, by substitution:
Simplify. Distribute:
Rearrange:
Combine like terms. Hence:
Answer:
The volume inside the cylinder is .
Step-by-step explanation:
Given : Four spheres of radius 6 cm just fit inside a cylinder.
To find : Calculate the volume inside the cylinder that is empty ?
Solution :
The volume of the cylinder is volume of 4 spheres.
The volume of sphere is
The radius is 6 cm.
The volume of four spheres is
Therefore, the volume inside the cylinder is .