Answer:
Since 7 is less than 32 your long division is done. You have your answer: The quotient is 15 and the remainder is 7.
So, 487 ÷ 32 = 15 with a remainder of 7
For longer dividends, you would continue repeating the division and multiplication steps until you bring down every digit from the dividend and solve the problem.
Step-by-step explanation:
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Answer:
12.B
13.C
17.D
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Answer:
2.63274768567
Step-by-step explanation:
First, note that 3.1415... is p, so 2(3.1415...) is 2pi and 4(3.1415...) is 4pi.
2pi and 4pi are full rotations, which will lead to the same cosine (i.e. cos(x) = cos (x+2pi) = cos(x+4pi) = ... = cos (x+2k*pi)).
So, the expression equals cos0.5 + cos 0.5 + cos0.5 = 3cos0.5 = 3(0.87758256189) = 2.63274768567
I hope this helps! :)
Answer:
D does not implies that the sequence is divergent. All others statements do.
Step-by-step explanation:
Statement D: " has both an increasing subsequence and a decreasing subsequence" does not necessarily implies that the sequence is divergent. For example, let the sequence given by:
if n is odd
if n is even
We can see that the subsequence is a decreasing sequence (the subsequence given by odd indexes). And the subsequence is an increasing sequence (the subsequence given by even indexes).
However, is a convergent sequence with limit zero.