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The figure shows that a bicyclist tips the cycle when making a turn. The angle B, formed by the vertical direction and the bicycle, is called the banking angle. The banking angle varies inversely as the cycle's turning radius. When the turning radius is 8 feet, the banking angle is 30°. What is the banking angle when the turning radius is 7.5 feet? B= (Type an integer or a decimal.) C

Answer the following questions about the equation below. x³-34x-12=0 (a) List all rational roots that are possible according to the Rational Zero Thebrem. Choose the correct answer below. A. 12 OB. £1 OC. ±1, 12, 13, 14, 16, ± 12 OD. -1, -2,-3,-4, -6, -12 (b) Use synthetic division to test several possible rational roots in order to identify one actual root. One rational root of the given equation is. (Simplify your answer.) (c) Use the root from part (b) to solve the equation. The solution set is. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

On a certain route, an airline carries 5000 passengers per month, each paying $40. A market survey indicates that for each $1 increase in the ticket price, the airline will lose 100 passengers. Find the ticket price that will maximize the airline's monthly revenue for the route. What is the maximum monthly revenue? The ticket price that maximizes the monthly revenue is $ The maximum monthly revenue is $