Simplify the expression. Assume that all variables are positive when they appear.

A.
B.
C.
D.


Answer: A

Mathematics

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Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = 3x - 4xy y'(t) = -y + 3xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0, (c) find the equilibrium points for the system.

A. (a) x' = 0 along the lines x =  and y = 0
(b) y' = 0 along the lines y =  and x = 0
(c) (0, 0) and 
B. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 
(c) (0, 0) and 
C. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 3
(c)  and 
D. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 3
(c) (0, 0) and 

Mathematics

Solve the problem.In a survey about the number of siblings of college students, the following probability table was constructed:   What is the probability that a student has less than 2 siblings?

A. 0.56 B. 0.2 C. 0.76 D. 0.24

Mathematics

Classify the angle as acute, right, obtuse, or straight.

A. Right B. Acute C. Straight D. Obtuse

Mathematics

Evaluate.36

A. 729 B. 5 C. 36 D. 18

Mathematics