Answer:
-1.2
Step-by-step explanation:
3n + 5 = 1/2(11n + 16)
3n + 5 = 5.5n + 8
5 = 2.5n + 8
-3 = 2.5n
-3/2.5 = n
-1.2 = n
Hope this helps!
Answer:
The manual cost that will take to recreate by the firm is $ 90.51
Step-by-step explanation:
Given:
Number of words the manual contains= 16000
Number of words typed by a clerk in one hour and 20 minutes = 4160
To Find:
The total cost for recreating the manual = ?
Solution:
Step 1: Finding the Number of hours is need to type 4160 words :
= 
hours
hours
hours
So it takes 
hours to type 4160 word
Step 2 : Finding the Number of hours is needed to type 1 word
= 
=
= 3120 words per hour
Step 3 : Finding the Number of hours is needed to type 16000 words
=
Substituting the values
= 
= 5.1282 hours
Step 4 : Finding the cost for recreating the manual.
= number of hours x cost per hour
= 5.1282 x $17.65
= 90.51
Answer:
one number= x = 44
the other number= (x-4)= 40
Step-by-step explanation:
one number= x
the other number= (x-4)
x + (x-4) = 84
2x= 84+4
2x= 88
x= 88/2= 44
one number= x = 44
the other number= (x-4)= 40
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.
Learn more about Complex number from:
brainly.com/question/10251853
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