Answer:
The correct answer is 5.
Step-by-step explanation:
It could meet at the vertexs so the squares that can be coloured should be diagonally connected. The number of such possibilities is 5
(Count the number of diagonally connected squares)
Hope it helps!
Answer:
f(x)=-10
Step-by-step explanation:
when you have f of x...any x gets the filled in by the number that is next to f
so f(x)=4x+2
f(x)=4*-3+2
f(x)=-10
Answer:
12 is 3/4 of what number? You need to divide by the top and multiply by the bottom. 12 divided by 3 is 4, and 4 times 4 is 16.
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm
then
L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm
therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
