Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.
Answer:
c)The proof writer mentally assumed the conclusion. He wrote "suppose n is an arbitrary integer", but was really thinking "suppose n is an arbitrary integer, and suppose that for this n, there exists an integer k that satisfies n < k < n+2." Under those assumptions, it follows indeed that k must be n + 1, which justifies the word "therefore": but of course assuming the conclusion destroyed the validity of the proof.
Step-by-step explanation:
when we claim something as a hypothesis we can only conclude with therefore at the end of the proof. so assuming the conclusion nulify the proof from the beginning
Answer:
60
Step-by-step explanation:
Answer:

Step-by-step explanation:
Answer:
-3.33333333333 or -10/3
Step-by-step explanation: