The volume of the cylinder is 13,571.680263507906 ft^3.
Answer: The answer should be 25.48
Step-by-step explanation: You are multiplying .9 to 28. (28 x .9)
y=0.25x
Step-by-step explanation:
the initial statement is
y
∝
x
to convert to an equation multiply by k the constant of
variation
⇒
y
=
k
x
to find k use the given condition
y
=
0.5
when
x
=
2
y
=
k
x
⇒
k
=
y
x
=
0.5
2
=
0.25
A tank initially contains 1000 liters of pure water. Then water containing 4 mg of detergent per liter starts to enter the tank at the rate of 30 liters per hour.
Let; / ( if; )
Volume at any time t = V(t)
Concentration at any time t = C(t)
Amount at any time = Q(t)
(then;)
C(t) = Q(t) / V(t)
dV/dt = 30
V(t) = 30t + 1000
dQ/dt = (4 )(30)
dQ = 120 dt
Q = 120t
(a) How long until the average concentration of detergent in the tank is 2 mg per liter?
____hours
C(t) = Q(t) / V(t)
C(t) = (120t) / ( 30t + 1000)
when C(t) = 2 mg/hr
(120t) / ( 30t + 1000) = 2
60t + 2000 = 120t
t = 100/3 hrs
t = 33 ⅓ hours
——————- ( 1 day 9 hours 20 minutes )
(b) How long until the average concentration of detergent in the tank is x mg per liter?
(120t) / ( 30t + 1000) = x
30xt + 1000x = 120t
3xt + 100x = 12t
12t - 3xt = 100x
t = 100x/(12 - 3x)
