Answer:
24.8 lbs
Step-by-step explanation:
14.5% is 0.145 in decimal and then you multiply it by the weight, and get the answer
0.145x171=24.8 lbs
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
I thing the answer is 7 days
we are given

it's factor as (x+p)(x+q)
so, we can write as

we can simplify it

now, we can compare both sides
coefficient of x must be equal
so, we get


now, we can look at the table where p+q =3
so, we can see that when p+q=3 .... then p=-2 and q=5
so, option-A.......Answer
Answer:
V =298.49625 in^3
Step-by-step explanation:
Volume of a cylinder is given by
V = pi * r^2 *h
We know the diameter so we can find the radius
r = d/2 =6.5/2 = 3.25
and we know the height =9
V = pi * (3.25)^2 *9
V = pi*95.0625
If we approximate by 3.14
V = 3.14*95.0625
V =298.49625 in^3