Let x= number of avocadoes she can buy
let y= total cost
y= 2x
9= 2x 9/2= 4.5
4.5= x
(you cannot cut the avocado in half therefore your answer is simply 4)
Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere (
), measured in cubic feet, is represented by the following formula:
Where 
is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
The derivative of the volume as a function of radius is:
Then, the change in volume is expanded:
If 
and 
, the change in the volume of the sphere is approximately:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
If the blocks were 9 different colors, then there would be
9 !(factorial) = 362,880 different ways to line them up.
But for each different line-up, there are 5! =120 ways to arrange
the green blocks and you can't tell these apart, 2!= 2 ways to arrange
the white blocks and you can't tell these apart, and 2!=2 ways to arrange
the orange blocks and you can't tell these apart.
So the number of distinct, recognizable ways to arrange all 9 blocks
is
(9!) / (5! · 2! · 2!) = (362,880) / (120 · 2 · 2) = 756 ways.
