Cameron has a mask collection. He keeps 267 of the masks on his wall, which is 89%
2 answers:
Answer:
300 masks
Step-by-step explanation:
If 267 is 89% of the whole amount, we can set up the following proportion:
, where x is the total amount of masks we need to find.
If we cross-multiply, we get 26700=89x. Divide both sides by 89, and we get 300. So, Cameron has a total of 300 masks in his collection.
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Answer:
a)
b)
c) the steady state mass of the drug is 2000 mg
d) t ≅ 153.51 minutes
Step-by-step explanation:
From the given information;
At time t= 0
an intravenous line is inserted into a vein (into the tank) that carries a drug solution with a concentration of 500
The inflow rate is 0.06 L/min.
Assume the drug is quickly mixed thoroughly in the blood and that the volume of blood remains constant.
The objective of the question is to calculate the following :
a) Write an initial value problem that models the mass of the drug in the blood for t ≥ 0.
From above information given :
Therefore;
with respect to x(0) = 0
b) Solve the initial value problem and graph both the mass of the drug and the concentration of the drug.
By Using Integration Method:
However; if x(0) = 0 ;
Then
C = -2000
Therefore
c) What is the steady-state mass of the drug in the blood?
the steady-state mass of the drug in the blood when t = infinity
x = 2000 - 0
x = 2000
Thus; the steady state mass of the drug is 2000 mg
d) After how many minutes does the drug mass reach 90% of its stead-state level?
After 90% of its steady state level; the mas of the drug is 90% × 2000
= 0.9 × 2000
= 1800
Hence;
t = 153.5056729
t ≅ 153.51 minutes
The value of is
Step-by-step explanation:
To find the value of , let us find the value of each angle.
The value of
The value of
The value of
The value of
Substituting the values of sin, we get,
Multiplying the values of sin, we get,
Thus, the value of is