Perform the indicated operation.

A. 56.54
B. 57.64
C. 56.64
D. 57.54


Answer: D

Mathematics

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Solve the problem.The electric current i (in A) as a function of the time t (in s) for a certain circuit is given by   Find the average value of the current with respect to time for the first 5.0 s.

A. 32 A B. 12 A C. 58 A D. 16 A

Mathematics

Solve using Cramer's Rule.Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a 109-pound force is applied at the peak of the truss, then the forces or weights W1 and W2 exerted parallel to each rafter of the truss are determined by the following linear system of equations. Solve the system to find W1 and W2.  W1 + W2 = 218 

src="https://sciemce.com/media/4/ppg__tttt0508191537__f1q46g3.jpg" style="vertical-align: -4.0px;" />W1 - W2 = 0

A. W1 = 97.73 lb; W2= 79.79 lb
B. W1 = 39.9 lb; W2= 48.86 lb
C. W1 = 79.79 lb; W2= 97.73 lb
D. W1 = 109 lb; W2= 133.5 lb

Mathematics

Determine the real solutions to the system of nonlinear equations.3y - x = 10x2 + y2 - 100 = 0

A. (-10, 0), (8, 6)
B.  
C.
D. (10, 0), (-10, 0), (8, 6)

Mathematics

Solve the problem.A wildlife researcher is monitoring a black bear that has a radio telemetry collar with a transmitting range of 28 miles. The researcher is in a research station with her receiver and tracking the bear's movements. If we put the origin of a coordinate system at the research station, what is the equation of all possible locations of the bear where the transmitter would be at its maximum range?

A. x2 + y2 = 784 B. x2 + y2 = 28 C. x2 + y2 = 56 D. x2 - y2 = 28

Mathematics