Answer:
The ratio of planet B's volume to planet A's volume is 1:512 or 1/512
Step-by-step explanation:
Volume of sphere = 4/3 π r^3
r = d/2
Radius of palnet A = 8/2 = 4
Radius of planet B = 1/2
Since 4/3 π is same in both volumes so, they cancel out when finding ratio.
Now ratio depends on radius cube of both planets
Volume of Planet B : Volume of Planet A
4/3 π(1/2)^3 : 4/3 π(4)^3
Cancelling 4/3 π on both sides
1/8 : 64
Multiply 8 on both sides
1 : 512
So, The ratio of planet B's volume to planet A's volume is 1:512 or 1/512
Answer:
Answer will 19/4 hope it helps
What is the relevance of avocados?
cantaloupes - 1.90x=7.60
x=4
Answer:
39
Step-by-step explanation:
Yield goes down 1 lb for each tree over 23 per acre, so the yield per tree as a function of x trees per acre is ...
yield per tree = 55 -(x -23) = 78 -x . . . . . pounds of cherries
To get the yield per acre, we multiply the number of trees per acre by the yield per tree:
lb/acre = (x tree/acre)((78 -x) lb/tree) = x(78 -x)
This is a quadratic function that opens downward and has zeros at x=0 and x=78. The vertex (maximum) is on the line of symmetry, halfway between the zeros. The yield per acre will be a maximum when ...
x = (0 +78)/2 = 39 . . . . trees per acre
39 trees should be planted per acre to maximize yield per acre.
