Two points of intersection are on the number at the coordinates (-1,2) and (4,-8).
Solve for p. 7+p+9=17 Enter your answer in the box.
1 answer:
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Answer:
41 square miles
Step-by-step explanation:
There are several ways you can compute the area of this polygon. We have elected to divide it into a rectangle and a triangle.
The rectangle has dimensions 8 × 4.5, so area ...
A = LW = 8 × 4.5 = 36 . . . . . square miles
The triangle has height 2.5 and base 4, so area ...
A = (1/2)bh = (1/2)(4)(2.5) = 5 . . . . . square miles
Then the total area is the sum of these:
36 + 5 = 41 . . . . . square miles
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