E,D and B are all the correct choices that are equivalent to 3(4x+3)
Answer:
17 km/h
Step-by-step explanation:
52:3=17.3≈17 km/hour
Answer:
12 cups
Step-by-step explanation:
The first step is to calculate the volume of the cubiod
= 36 × 6 × 23
= 4968
= 4968/3 ×2
= 1656×2
= 3312
Therefore the greatest number of cups can be calculated as follows
= 3312/275
= 12
Hence the greatest number of cups is 12 cups
Answer:
a. dQ/dt = -kQ
b. 
c. k = 0.178
d. Q = 1.063 mg
Step-by-step explanation:
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
Let Q be the quantity of drug left in the body.
Since the rate of decrease of the quantity of drug -dQ/dt is directly proportional to the quantity of drug left, Q then
-dQ/dt ∝ Q
-dQ/dt = kQ
dQ/dt = -kQ
This is the required differential equation.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
with t = 0, Q(0) = 9 mg
dQ/dt = -kQ
separating the variables, we have
dQ/Q = -kdt
Integrating we have
∫dQ/Q = ∫-kdt
㏑Q = -kt + c

when t = 0, Q = 9

So, 
c) Use the half-life to find the constant of proportionality k.
At half-life, Q = 9/2 = 4.5 mg and t = 3.9 hours
So,

taking natural logarithm of both sides, we have
d) How much of the 9 mg dose is still in the body after 12 hours?
Since k = 0.178,

when t = 12 hours,

The picture is blurry. I'm sorry!!