Verify that each equation is an identity.sin(4u) = 2 sin(2u) cos(2u)
What will be an ideal response?
sin(4u) = sin [2(2u)] = 2 sin(2u) cos(2u).
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Find the circumference of the circle. Use 3.14 for ?. Round to the nearest hundredth.
A. 12.07 ft B. 283.39 ft C. 59.66 ft D. 29.83 ft
Determine the size of the sample space for the experiment described.A 6-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6. State the number of elements in the sample space of rolling one die.
A. n(S) = 1 B. n(S) = 6 C. n(S) = 36 D. None of these
Solve.Each month a gas station sells x gallons of gas at $1.92/gallon. The cost to the owner of the gas station for each gallon of gas is $1.32. The monthly fixed cost for running the gas station is $37,000. Write an equation that relates the monthly profit, in dollars, to the number of gallons of gasoline sold. Then use the equation to find the monthly profit when 75,000 gallons of gas are sold in a month.
A. P = 0.60x + 37,000; $82,000 B. P = 1.92x - 37,000; $107,000 C. P = 0.60x - 37,000; $8000 D. P = 1.32x - 37,000; $62,000
The loudness of a sound of intensity x, measured in watts per square meter, is defined as L(x) = log (
), where xo = 10-3.A particular Boeing 747 jetliner produces noise at a loudness level of 113 decibels. Find the intensity level (round to the nearest hundredth) in watt per square meter for this noise.
What will be an ideal response?