Solve the problem.The power dissipated in an electric circuit is given by the expression
where R is the resistance of the circuit and I is the current through the circuit. For a sinusoidal alternating current, the current might be represented by the relation
where A is the amplitude, f is the frequency, and t is time. Write an expression for P involving the sine function, and use a fundamental identity to write P in terms of the cosine function.
A. P = RA sin2(2?f t) ; P = RA - cos2(2?f t)
B. P = RA2 sin2(2?f t) ; P = - RA2 cos2(2?f t)
C. P = RA2 sin2(2?f t) ; P = RA2 - RA2 cos2(2?f t)
D. P = RA sin2(2?f t) ; P = RA - RA cos2(2?f t)
Answer: C
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Solve the problem.Suppose y = mx + b is a mathematical model for actual time as a function of estimated time, where y represents actual time and x represents estimated time and m and b are constants. If m = 0.8 and b = -2.1, find y when x is 60 min.
A. 45.9 min B. 50.1 min C. 61.68 min D. 58.32 min
Solve the equation visually.- x -
= 2Values of -
x -
A. -3
B. -2
C. -
D. -
Solve the equation. = 2.7
A. {2.7, -2.7} B. {729} C. {2.7} D. {-2.7}
Write the fraction as a percent rounded to the nearest tenth, if necessary.
A. 5% B. 62.5% C. 80% D. 50%