Prove the identity.sin 4x = 2 sin 2x cos 2x
What will be an ideal response?
sin 4x = sin 2x cos 2x + cos 2x sin 2x = 2 sin 2x cos 2x.
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Solve the problem.The revenue received from the sale of electric heaters is seasonal, with maximum revenue in the winter. Let the revenue received from the sale of heaters be approximated by R(x) = 380 cos 2?x + 600, where x is time in years, measured from January 1. Find R'(x) for March 1st.
A. -380?
B. 0
C. -380?
D. -380?
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.(3, 2); m = - 5
A. y = - 
x + 17
B. y = -5x + 
C. y = -5x + 17
D. y = -5x - 17
Determine the constant term that must be added to the expression to make it a perfect square.x2 - ax
A. 
B. - 
C. 
D. - 
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400