Find the exact value of the expression if ? = 45°. Do not use a calculator.f(?) = cos ?Find 7f(?).
A. -
B.
C. -
D.
Answer: B
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Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds = minutes =
degrees, determine the distance d from Earth to 61 Cygni using Bessel's figures. Express
the answer in scientific notation.
A. 9.85 × 1013 km
B. 1.05 × 1014 km
C. 1.97 × 1014 km
D. 2.28 × 1013 km
Provide an appropriate response.For what values of a does the quadratic function f(x) = ax2 - 6x + 3 have no x-intercepts?
A. a > 3 B. a > 9 C. a < 3 D. a < 9
Solve the problem.The supply function for a certain car is given by p = 31(3q) cars, where p dollars is the price per car and q is the quantity of cars, in thousands, supplied at that price. What quantity will be supplied if the price is $67,797 per car?
A. 7 thousand cars B. 6 thousand cars C. 9 thousand cars D. 8 thousand cars
Find the x-intercepts of the graph of each equation.y = (x - 5)(x + 9)
A. (-5, 0), (9, 0) B. (-5, 0), (-9, 0) C. (5, 0), (9, 0) D. (5, 0), (-9, 0)