# Linear Equations and Outputs

An AC sine wave is applied to the input of a full wave rectifier. The output of the full wave rectifier is then applied to a half wave rectifier. The output of the half wave rectifier will most closely resemble:

A) the original sine wave.

B) an inverted form of the original sine wave.

C) the output of the full wave rectifier.

D) none of the above.

A project that will cost $750,000 will require payments as certain milestones are met. The initial payment is $50,000. When 30% of the work is complete an additional payment of $200,000 is due. When 70% of the work is complete another payment of $300,000 is due. Upon completion of the project the balance is due. The closest linear equation to approximate the payment schedule (where Y = amount paid in thousands of dollars, and X = % complete) is:

A) 750 X - Y = 0

B) 750 X - Y = - 50

C) 600 X -Y = -100

D) B = 0

Approximately where would the curve, log Y = log 2X plotted on standard graph paper intercept the Y-axis?

A) 0

B) 0.3

C) 1.0

D) 2.3

An electrical circuit consists of a set of three parallel resistors (A, B, and C) which are connected in series with another set of two parallel resistors, (D, and E). These two sets of resistors are connected in a series loop to a battery. Assume the following resistor values:

A = 33 ohms

B= 100 ohms

C = 51 ohms

D = 22 ohms

E = 10 ohms

How much current could a 12 V battery drive through the circuit?

A) less than 12 ohms

B) greater than 1 amp

C) less than 0.5 amps

D) none of the above

An object is thrown horizontally from the top of a building from an elevation of 64 feet above ground level. The velocity of the object is 56 miles per hour. How far, horizontally will the ball travel before reaching the ground?

A) Less than 170 feet.

B) Less than 160 feet.

C) Each of the above.

D) None of the above.

A football player runs at a speed of 16 feet per second. How long will it take him to run ten yards directly downfield if his course is in a forward direction at an angle of 45 degrees toward the sideline?

A) Less than 2 seconds.

B) More than three seconds.

C) Cannot be determined from the information provided.

D) None of the above.

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An AC sine wave is applied to the input of a full wave rectifier. The output of the full wave rectifier is then applied to a half wave rectifier. The output of the half wave rectifier will most closely resemble:

A) the original sine wave.

B) an inverted form of the original sine wave.

C) the output of the full wave rectifier.

D) none of the above.

Answer: D).

The original AC sine wave is :

The output of the full wave rectifier (also the input to the half wave rectifier) is:

The output of the half wave rectifier will be:

So the answer is D.

A project that will cost $750,000 will require payments as certain milestones are met. The initial payment is $50,000. When 30% of the work is complete an additional payment of $200,000 is due. When 70% of the work is complete another payment of $300,000 is due. Upon completion of the project the balance is due. The closest linear equation to approximate the payment schedule (where Y = ...

#### Solution Summary

This solution identifies the correct answer in each question set with clear reasoning and calculations.