Solve the problem.Among a group of 80 investors, 24 owned shares of Stock A, 33 owned shares of Stock B, 46 owned shares of Stock C, 13 owned shares of both Stock A and Stock B, 12 owned shares of Stock A and Stock C, 17 owned shares of Stock B and Stock C, and 8 owned shares of all three. How many investors did not have shares in any of the three? How many owned shares of either Stock A or Stock C but not Stock B?
A. 19; 32
B. 11; 36
C. 11; 40
D. 11; 32
Answer: B
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Solve the differential equation.D2y - 9 Dy = 0
A. y = C1e9x + C2ex B. y = C1e9x + C2 C. y = C1e-9x + C2 D. y = C1e-9x + C2ex
Determine if the argument is valid or invalid. Give a reason to justify answer.If I'm hungry, then I will eat.I'm not hungry. ? I will not eat.
A. Invalid by fallacy of the converse B. Invalid by fallacy of the inverse C. Valid by the law of detachment D. Valid by the law of contraposition
Solve for the variable.
x - 
x = 3
A. x = 90 B. x = -45 C. x = 45 D. x = -90
Solve the problem.A block sitting at rest on an inclined plane is held in place by a friction force, f, that is directed against the bottom surface of the block in a direction up the incline parallel to the plane surface, and by a normal force, N, that is directed against the block in a direction out from and perpendicular to the plane surface. It can be shown that src="https://sciemce.com/media/4/ppg__rre0509191659__f1q9g3.jpg" alt="" style="vertical-align: -4.0px;" /> For what angle does 
and 
where ? is the angle of inclination and mg is the weight of the block. Assume that mg is 5 pounds and plot f and N together on the same graph over 
appear to be an identity?
A. 0°;
Force
?°
B. 0° and 90°;
Force
?°
C. 45° ;
Force
?°
D. 90°;
Force
?°