A) Think of the amount as a fraction or ratio: 160/5 now, we want the denominator to be equivalent to 1 hour so we divide 5 by 5 to get 1. What we do to the bottom, we do to the top, so we do 160 divided by 5 = 32 bagels in 1 hour.
B) Now take 160/5 and set the denominator equal to 12. 5 times 2.4 equals 12, so then multiply 160 times 2.4 = 384 bagels in 12 hours. Hope this helps!
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,
Answer:
−2x^3
Step-by-step explanation:
i simplifyed the expresion if it is not what you whanted me to do tell me :)
Answer:
220.5cm3
Step-by-step explanation:
volume- crossectional area times lenghth
1/2 mult 7 mult 7 mult 9= 220.5cm3
Answer:
T
he volume of the drawers in the dresser is 1 ft
³
Step-by-step explanation:
To calculate the volume of a drawer, we first need to know that a drawer has a rectangular base prism shape
The formula to calculate the volume of a rectangular base prism is:
v = volume
w = wide
l = long
h = high
v = l * w * h
v = 2ft * 1ft * 1/2 ft
v = 1 ft
³
T
he volume of the drawers in the dresser is 1 ft
³