Solve the problem.The delivery of a drug (such as an antibiotic) through an intravenous line may be modeled by the differential equation 
where m(t) is the mass of the drug in the blood at time 
k is a constant that describes the rate at which the drug is absorbed, and I is the infusion rate. Let 
and 
For what initial values
src="https://sciemce.com/media/4/ppg__tttt0613190828__f1q11g5.jpg" alt="" style="vertical-align: -4.0px;" /> are solutions increasing? decreasing? What is the equilibrium solution?
A. increasing for A < 40 and decreasing for A > 40; m(t) = 40
B. increasing for A > 40 and decreasing for A < 40; m(t) = 40
C. increasing for A < 40 and decreasing for A > 40; m(t) = 0
D. increasing for A > 40 and decreasing for A < 40; m(t) = 0
Answer: A
Mathematics
src="https://sciemce.com/media/4/ppg__tttt0613190828__f1q11g5.jpg" alt="" style="vertical-align: -4.0px;" /> are solutions increasing? decreasing? What is the equilibrium solution?
A. increasing for A < 40 and decreasing for A > 40; m(t) = 40
B. increasing for A > 40 and decreasing for A < 40; m(t) = 40
C. increasing for A < 40 and decreasing for A > 40; m(t) = 0
D. increasing for A > 40 and decreasing for A < 40; m(t) = 0
Answer: A
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A. 
B. 
C. 
D. 
Use properties of exponents to simplify the expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero.
-3
A. 
B. x18
C. 
D. x30
Determine if the two fractions are equivalent.
and 
A. equivalent B. not equivalent
Find the value of the exponential expression.
3
A. 
B. 
C. 
D. 3