Find the exact value by using a half-angle identity.tan 75°

A. 2 + 
B. -2 - 
C. -2 + 
D. 2 - 


Answer: A

Mathematics

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Solve the problem.The two solutions of the equation 3x2 = 4x + 7 are

A. -1 and ?.
B. -1 and .
C. 1 and .
D. -1 and .
E. none of these

Mathematics

Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.f(x) = x2 - 4x, -? < x ? 4

A. Local and absolute minimum: (2, -4); Local and absolute maximum: (4, 0) B. Local and absolute minimum: (2, -4); Local maximum: (4, 0) C. Local minimum: (2, -4); Local and absolute maximum: (4, 0) D. Local minimum: (4, 0); Local and absolute maximum: (2, -4)

Mathematics

Solve the problem.A student is taking a standardized test consisting of multiple choice questions for which there are five options for each question. Five points are awarded for each correct answer, but the student loses 2 points for an incorrect answer. Questions left blank neither receive nor lose points. What is the minimum number of options that the student should be able to rule out before making a guess on any particular question?

A. Three B. None C. Two D. One

Mathematics

The following question refers to a country with five states. There are 250 seats in the legislature, and the populations of the states are given in the table below. The standard quota for State A is

A. 0.16. B. 6.25. C. 1.00. D. 250. E. none of these

Mathematics