Factor completely. If the polynomial cannot be factored, write "prime."216y3 - 343
A. (6y - 7)(36y2 + 49)
B. (216y - 7)(y2 + 42y + 49)
C. (6y - 7)(36y2 + 42y + 49)
D. (6y + 7)(36y2 - 42y + 49)
Answer: C
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Find the standard equation of the parabola with the given focus and directrix.Focus: (0, -3); directrix: y = 1
A. x2 = -8(y + 1) B. x2 = 8(y + 1) C. y2 = -8(x + 1) D. y2 = 8(x + 1)
Solve the problem.The voltage E in an electrical circuit is given by E = 4.2 cos 160?t, where t is time measured in seconds. Find the amplitude.
A. 160 B. 4.2 C. 160? D. 8.4
Use the table to determine the probability. Round your answer to three decimal places if necessary.The following table displays the percentage of students in grades 9-12 that are studying a language other than English.Determine the probability that a randomly selected student in grades 9-12 is studying Spanish or German.
A. 0.33 B. 0.67 C. 0.29 D. 0.04
Express the product as a sum containing only sines or cosines.sin cos
A. [cos(10?) - sin(8?)]
B. sin cos(9?)
C. [cos(5?) + sin(4?)]
D. [sin(5?) - sin(4?)]