You cant put .25 into a mixed number
its 1/4
Answer:
Step-by-step explanation:
p=
,
(22+6)2-21=
44+12-21=
35=,
If you factor out the equation, you get that 35=4p(if you factor it out)
Therefore,
$80 hourly used limousine
80 * .20 = $16 tip
$80 + $16 = $96 <span>he spent hourly charges plus tip
$96 * 4 = $384 total for 4 hours plus tip</span>
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/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
Answer:
2w^2 + 34w
Step-by-step explanation:
2w(w+17)
Multiply the 2w by each term in the parentheses
2w*w + 2w*17
2w^2 + 34w
