Answer:
The complex number has Cartesian form
.
Step-by-step explanation:
First, we need to recall the definition of when is a complex number:
.
Then,
. (I)
Now, recall the definition of the complex exponential:
.
So,
(we use that .
Thus,
Now we group conveniently in the above expression:
.
Now, substituting this equality in (I) we get
.
Thus,
.
Could you post the equation? I’d be happy to help!
Answer:
40 hours
Step-by-step explanation:
500 ÷ 12.5 = 40
Answer:
By taking the height as x most probably
Step-by-step explanation:
2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form
We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.