Answer:
9√15·cis(19π/24)
Step-by-step explanation:
The magnitudes multiply and the angles add:
= ((3√3)(3√5))·cis(π/8 +2π/3)
= 9√15·cis(π(1/8 +2/3)) = 9√15·cis(π(3/24 +16/24))
= 9√15·cis(19π/24)
No I’m not smarter than a fifth grader
The answer is 3) 5+r/14
Let's go segment by segment:
<span>"five plus" means addition, so we have 5 +
</span><span>"the quotient of r and 14" is the division result, so sign / must be present: 14/r
</span>
Therefore "five plus the quotient of r and 14" is 5 + 14/r
9514 1404 393
Answer:
51
Step-by-step explanation:
The rule gives the sequence ...
75, 69, 63, 57, 51, 45, ...
The 5th number in the sequence is 51.
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<em>Alternate solution</em>
The equation for the general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
Your sequence has first term 75 and common difference -6, so the equation is ...
an = 75 -6(n -1)
Then for n=5, the term is ...
a5 = 75 -6(5 -4) = 75 -24 = 51
The 5th term is 51.
