Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: The outside humidity is low.q: The central humidifier is running.r: The air in the house is getting dry.It is not the case that if the air in the house is getting dry, then the central humidifier is not running.

A. ~ r ? ~ q
B. ~ (r ? ~ q)
C. ~ (r ? q)
D. ~ (r ? ~ q)


Answer: D

Mathematics

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Simplify the polynomial by combining like terms.13y3 + 19 - 10m2n2 - 9 - 14n2m2

A. 13y3 - 24m2n2 + 10 B. cannot be simplified C. 13y3 - 24m2n2 + 28 D. 13y3 + 140m2n2 + 10

Mathematics

The equations of a parabola and a tangent line to the parabola are given. Select the correct graph of both equations in the same viewing window.

?
Parabola:
Tangent Line:   
?

A. ?


B. ?


C. ?


D. ?


E. ?


Mathematics

Solve.Suppose the velocity of an automobile starting from rest is given by v = where v is the velocity in miles per hour and t is the time in seconds. Find the number of seconds when the velocity is 50 miles per hour.

A. 5 sec B. 1.5 sec C. 3 sec D. 4 sec

Mathematics

Find the magnitude of the vector.u = 

A. 4
B. 4
C. 6
D. 80

Mathematics