Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
Answer:
0.25
Step-by-step explanation:
Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25
Answer:
x=8
Step-by-step explanation:
Since it's the order you're working out, the order in which you pick the players play a huge role. Thus, this is a permutation question.
Since you're picking 9 people from 11 players, the formula goes like this:
different ways.
Solution:
Diameter=11ft
Therefore radius=5.5 ft(Since radius=Diameter/2)
Volume of sphere=4/3py r^3
= 4/3.22/7.5.5^3
=697.19 Cubic feet.
Therefore the volume of sphere is 697.19 cubic feet.This is your required solution.
