Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 
Given that:
Since O is the origin, then:
This means that:
So, we have:
Collect like terms
Hence, complex number Z3 is
Read more about complex numbers at:
brainly.com/question/18509723
Answer:
The federal government's "enumerated powers" are listed in Article I, Section 8 of the Constitution. Among other things, they include: the power to levy taxes, regulate commerce, create federal courts (underneath the Supreme Court), set up and maintain a military, and declare war. It is their job to carry out constitutional responsibilities for society.
Step-by-step explanation:
Answer:
1) 20
2) 60
3) 10
4) 90
Step-by-step explanation:
1. first quartile is the beginning of the box
2. third quartile is the end of the box
3. lowest is the first point of the graph
4. vice versa of 3
Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.
<u>Using a Venn diagram analogy</u> :
- Total number of client, U = 108
- Piano, P = 42
- Guitar, G = 51
- Piano and Guitar, (PnG) = 13
- None =?
<u>From the information given</u> :
- P only = 42 - 13 = 29
- G only = 51 - 13 = 38
<u>The total number of clients can be related thus</u> :
- Total = P only + G only + PnG + None
108 = 29 + 38 + 13 + None
108 = 80 + None
None = 108 - 80
None = 28
Therefore, the number of clients who do not play any of the instruments is 28
Learn more :brainly.com/question/12570490
