9/16 + 1/4
9+4/16
13/16
Alternative form
0.8125
Answer:
B
Step-by-step explanation:
The y-intercept is 2 and the slope is 1. Therefore, the answer is 2y=x. :)
Answer: 18.125 lbs
Explanation: The baby weighed 18.125 pounds at the end of eight months.
The baby weighed 7.25 lbs at birth. Eight months later, he weighed 2.5 or 2½ times its birth weight. Multiply 7.25 by 2.5 (which equals 18.125).
So now eight months later, he's 18.125 pounds.
To answer the question above, divide the total amount raised (T) during fundraising by the number of future exhibits (n). The amount of money (m) each exhibit will receive,
m = T / n = ($1664) / 8 = $208
Thus, each exhibit will receive $208.
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/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
