Answer:
option A
output = constant / input
Step-by-step explanation:
Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.
Equation to describe relationship of inverse variation between input and output will be as following
<h3> output ∝ 1 / input</h3>
to remove this sign of proportionality
<h3> output = k / input </h3>
where k is a constant
The $4 for 5 ounces because think about how much 1 ounce would be so that's how you would get your answer it tells you which on is the lowest
Answer:
Step-by-step explanation:
Given
Required
Solve
Using sine rule, we have:
This gives:
So, we have:
In radical forms, we have:
Take LCM
Rewrite as:
Hence:
5 1/5 = 5.50
5 5/9 = 5.555555
so the order from smallest to biggest is
5.05, 5 1/5, 5 5/9
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/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
