Find the Product or Quotient, as Indicated $\mathrm { z } _ { 1 }$

question 138

Multiple Choice

Find the product or quotient, as indicated. Leave your answer in polar form.
-Find the product of $\mathrm { z } _ { 1 }$ and $\mathrm { z } _ { 2 }$ .
$$z _ { 1 } = 8 \left( \cos \frac { 4 \pi } { 7 } + i \sin \frac { 4 \pi } { 7 } \right) , z _ { 2 } = \frac { 1 } { 5 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$$

• A) \(40 \left( \cos \frac { 19 } { 21 } \pi + i \sin \frac { 19 } { 21 } \pi \right)\)
• B) \(\frac { 41 } { 5 } \left( \cos \frac { 4 } { 21 } \pi + i \sin \frac { 4 } { 21 } \pi \right)\)
• C) \(\frac { 8 } { 5 } \left( \cos \frac { 4 } { 21 } \pi + i \sin \frac { 4 } { 21 } \pi \right)\)
• D) \(\frac { 8 } { 5 } \left( \cos \frac { 19 } { 21 } \pi + i \sin \frac { 19 } { 21 } \pi \right)\)

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Definitions:

Critical T Value

The threshold value in t-testing that determines whether to reject the null hypothesis, based on the desired level of significance.

Significance

The likelihood that a relationship between two or more variables is caused by something other than random chance.

Slope

The slope is the measure of the steepness or incline of a line, defined as the ratio of the vertical change to the horizontal change between two points on the line.

Sales Data

Information collected about the sales performance of products or services, often used for analysis and business strategy planning.