If you put 91 times 17 in a calculator, you get 1547. 1547 is your answer.
Work out the number of hours in 1 year:-
1 year = 365*24 = 8760
So the number dying each hour = 31,000 / 8760 = 3.54
Answer:
c. it converges, it has a sum
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
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The equation that models the number of students who live in apartments will be 6n + 15
<h3>How to illustrate the equation?</h3>
Total number of students T = 17n + 23
Students who live in dorm rooms on campus D = 11n + 8.
Therefore, the students who live in apartments will be:
= 17n + 23 - (11n + 8)
= 6n + 15
In order to predict the number of students who will live on campus in 2020, we will need the students that do not share dorm rooms.
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