Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator.sec2 40° - tan2 40°

A. 0
B. 2
C. -1
D. 1


Answer: D

Mathematics

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Use the integral test to determine whether the series converges.

A. converges B. diverges

Mathematics

Solve the problem by using two equations with two variables.A retired couple has $170,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 7%. The rest they want to invest in AA bonds yielding 12% per year. How much should they invest in each to realize exactly $17,400 per year?

A. $110,000 at 12% and $60,000 at 7% B. $110,000 at 7% and $60,000 at 12% C. $120,000 at 12% and $50,000 at 7% D. $100,000 at 7% and $70,000 at 12%

Mathematics

Perform the indicated operations. Write the resulting polynomial in standard form.(x - 4y)(x - 3y)

A. x2 - 7xy - 7y2 B. x - 7xy + 12y C. x2 - 7xy + 12y2 D. x2 - 10xy + 12y2

Mathematics

Find the standard form of the equation for the ellipse satisfying the given conditions. Center (0, 0), vertical major axis of length 10 and minor axis of length 8

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics