Expand using the binomial theorem.(x - 3y)4
A. x4 - 12x3y + 54x2y2 - 108xy3 + 81y4
B. x4 - 12x3y - 54x2y2 - 108xy3 + 81y4
C. x4 - 12x3y + 54x2y2 + 12xy3 + 81y4
D. x4 - 3x3y + 54x2y2 - 54xy3 + 81y4
Answer: A
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Rewrite each number using scientific notation before performing the operation. Leave your answer in scientific notation form.(80,000)(900)
A. 7.2 × 109 B. 7.2 × 106 C. 7.2 × 107 D. 7.2 × 108
Find the indicated roots. Write the answer in trigonometric form.Fifth roots of 243(cos 240° + i sin 240°)
A. 3(cos 48° + i sin 48°), 3(cos 138° + i sin 138°), 3(cos 228° + i sin 228°), 3(cos 318° + i sin 318°), 
B. 3(cos 48° + i sin 48°), 3(cos 120° + i sin 120°), 3(cos 192° + i sin 192°), 3(cos 264° + i sin 264°), 
C. 3(cos 240° + i sin 240°), 3(cos 330° + i sin 330°), 3(cos 420° + i sin 420°), 3(cos 510° + i sin 510°), 
D. 3(cos 240° + i sin 240°), 3(cos 312° + i sin 312°), 3(cos 384° + i sin 384°), 3(cos 456° + i sin 456°), 
Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms.A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. Find the probability of getting the same outcome on each toss.
A. 1
B. 
C. 
D. 
Use the Gauss-Jordan method to find A-1, if it exists.A = 
A. 
B. 
C. 
D. Does not exist