The volume of a cube is given by;
(One length side of the cube)³ - remember all sides of a cube are the same, just like how both sides of a square are the same. This is essentially the area of the square at the base, multiplied by the height of the cube.
Hence why we that that, for example 4³, is "4 cubed"
So we know that;
volume = (side length)³
Alternatively we could say that;
Side length = ∛volume
(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)
Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.
We know that the volume is 1000 cubic feet, so;
Side length = ∛1000
∛1000 = 10
So one side length is 10 feet.
Answer:
x₁ = 1.6667 x₂ = 0 x₃ = 2.6667
z(minimum) = 15.3333
Step-by-step explanation:
Assembly Finishing wood
Montegue (x₁) 1 2 6
Capulet (x₂) 1 1 6
Verona (x₃) 2 1 2
Availability
Assembly area at most 7 hours
Finishing area at least 6 hours
Then
Objective Function
z = 6*x₁ + 6*x₂ + 2*x₃ to minimize
Subject to:
Constraint 1
Assembly area at most 7 hours
x₁ + x₂ + 2*x₃ ≤ 7
Constraint 2
Finishing area at least 6 hours
2*x₁ + x₂ + x₃ ≥ 6
General constraints x₁ ≥ 0 x₂ ≥ 0 x₃ ≥0
Solution after 3 iterations with the help of on-line solver
x₁ = 1.6667 x₂ = 0 x₃ = 2.6667
z(minimum) = 15.3333
Our two ratios are 4/21 and 3/14
we have to add them together
to do this, they have to have the same denominator
lets give them the denominator of 42
9/42 + 8/42 = 17/42
17 out of every 42 cards is faulty
Answer:
Step-by-step explanation:
If A laptop battery has 81% power after 1 hour of use
It looses 19 % of its energy in one hour.
The difference between 81% and 24% is 57%
Answer:
4)
Step-by-step explanation: