Answer:
The distance around the lot is 4.05 miles .
Step-by-step explanation:
Formula
As given
i.e
Here
Put in the formula
L.C.M of (8,10) = 40
Perimeter of rectangle = 4.05 miles
Therefore the distance around the lot is 4.05 miles .
Answer:
a.) C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH b.) $170
Step-by-step explanation:
(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:
Marginal cost (MC) = change in total cost/change in quantity
Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:
Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k
where k is a constant.
The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k
C(q) = -(1/4)*(q^3 - 12q^2 + 48q - 64) + k = -(1/4)*q^3 + 3q^2 - 12q -16 + k
Thus:
C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH
(b) C(14) = -(1/4)*14^3 + 3*14^2 - 12*14 + 436 = -686 + 588 - 168 + 436 = $170
If it takes yards and turns it into feet then it just multiplies it by 3
so if the input is 10.5 then you just multiply it by three
31.5 feet is the imput
Answer:
A- for every animal, if the animal is a rabbit, the animal hops.
B- every animal is a rabbit and it hops.
C-there are animals that, if they are rabbits, they hop.
D-there are animals that are rabbits and they hop
