Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).

Which statement describes the geometric construction of the product zw on the complex plane?

Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.

Answers

Answer 1

Answer:

c on edge

Step-by-step explanation:

fr

Answer 2

Answer:

(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.

Step-by-step explanation:

edge:2022 Happy new year!


Related Questions

NEED A MATH TUTOR ASAP !!!

tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?

Answers

Answer:

$22

Step-by-step explanation:

20 * 1.10 = 22

The answer is $22 good luck!!

HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST

tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?

Answers

Answer:

First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500

Then do the percentage (7%) $23,625

I believe that 23625 is the answerrr

Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?​

Answers

Answer:

Mr watts needs 7 weeks

Step-by-step explanation:

The average expense per presentation =  $20,000

Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000

Also the  cost of meals, motels, jet travel, and support  personnel total $60,000 per week. Hence the total cost per week is:

Total cost = $140000 + $60000 = $200000

The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:

Revenue per week = $40 per person × 1000 people × 7 days = $280000

Let assume the number of weeks needed to earn $560000 be x. Hence:

280000x - 200000x = 560000

80000x = 560000

x = 7

Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%

Answers

Answer:

C. An increase of 20%

Step-by-step explanation:

50/100 = 60/x

Cross products

50 x  =  6000

Divide 50 by both sides

x  =  120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc

Round 34,138 to the nearest thousand??

Answers

Answer:

34,138 to the nearest thousand is 34,000!

Step-by-step explanation:

Hope this helps! Good luck! <3

Answer:

0

Step-by-step explanation:

Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have

Answers

Answer:

72

Step-by-step explanation:

Stacy has 30 marbles

Let m= the number of marbles that mallory has

stacy has 1/2 m -6

30 = 1/2 m -6

Add 6 to each side

30+6 = 1/2m

36 = 1/2m

Multiply each side by 2

72 = m

Mallory has 72 marbles

Answer:

72

Step-by-step explanation:

I'm cool and the guy above me stinko

A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?

Answers

I think the answer is -51

i’ll literally give you 45 points but please answer it correctly i have a D in math class

Answers

I wrote out the answers on top of the sheet. Hope this helped!

10/3 = x/ (-5/2) what does x equal

Answers

The answer to the equation is [tex]x=-\frac{25}{3}[/tex]

First, you must cross multiply the fractions.

[tex]10*-\frac{5}{2} =x*3[/tex]

[tex]-25=3x[/tex]

Then, you must flip the equation.

[tex]3x=-25[/tex]

Finally, divide 3 on each side

[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]

[tex]x=-\frac{25}{3}[/tex]

Free pints get it lolololo​

Answers

Answer:

Yayee

Step-by-step explanation:

Hahahahahha
Jags rvhdv f hdidbdjbfjfoc. S in thrift Nd

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

110d + 80 > 1620

d > 14

Step-by-step explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.

|2x+5|-4=16 find both answers

Answers

Answer:

x=7.5 and x=-12.5

Step-by-step explanation:

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

I need help please help me out .

Answers

21,540 multiply 359 times 60

On an architect's blueprint, 1 inch corresponds to 2 feet. Find the length of a wall represented by a line 2 1/2 inches long on the blueprint

Answers

Length=5 inches ; 2.5•2= 5

Maria makes money
by commission rates.
She gets 15% of
everything she sells. If
Maria sold $23,000
worth of items this
month, what is her
salary for the month?
Show your work on
the slide!

Answers

Answer:

Monthly salary = $3450

Step-by-step explanation:

In this problem, it is given that, Maria gets 15% of  everything she sells. If Maria sold $23,000  worth of items this  month, we need to find her salary for the month.

It means we need to find the 15% of $23,000 to find her salary. Let the salary be x.

ATQ,

[tex]x=15\%\ \text{of}\ 23000\\\\x=\dfrac{15}{100}\times 23000\\\\x=\$3450[/tex]

Hence, her salary for the month is $3450.

Salary of Maria for the month is $3,450

Given that;

Amount of item sold by Maria = $23,000

Percentage of commission = 15%

Find:

Salary of Maria for the month

Computation:

Salary of Maria for the month = Amount of item sold by Maria × Percentage of commission

Salary of Maria for the month = $23,000 × 15%

Salary of Maria for the month = $3,450

Learn more:

https://brainly.com/question/19193145?referrer=searchResults

A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.

Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?

Answers

Answer:

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu  =  \$ 356[/tex]

    The sample  size is n  =  30  

     The sample mean is [tex]\= x = \$340[/tex]

    The standard deviation is  [tex]\sigma =  \$ 90[/tex]

    The  null hypothesis is [tex]H_o  :  \mu =  \$ 35 6[/tex]

     The alternative hypothesis is   [tex]H_a  :  \mu \ne  \$ 35 6[/tex]

Let assume the significance level is [tex]\alpha = 0.05[/tex]

Generally the test statistic is mathematically represented as

     [tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>  [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]

=>  [tex]t =-0.9737 [/tex]

Generally the sample size from the question is  small that it is not greater than 30  hence we use t-test

Now the degree of freedom is mathematically represented as

     [tex]df =  n- 1[/tex]

=>   [tex]df =  30- 1[/tex]

=>   [tex]df= 29[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value =  2 P (t >  -0.9737 )[/tex]

Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of  [tex]df= 29[/tex] for a two -tailed  test  is

     [tex]P (t >  -0.9737 ) =  0.33825793[/tex]

Hence p-value  is  

     [tex]p-value =  2*0.33825793[/tex]

      [tex]p-value =  0.676 [/tex]

From the value we obtained we see that  [tex]p-value  >  \alpha[/tex] hence

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?

Answers

Answer:

42

It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.

But at least its correct.

Ms. Smith still have 42 ounces of candy in her bag.

What is Subtraction?

To subtract means to take away from a group or a number of things.

Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.

1 pound = 16 ounces

She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds

3 pounds = 16*3 ounces = 48 ounces

She ate 6 ounces of candy

Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.

Hence, Ms. Smith still have 42 ounces of candy in her bag.

For more references on Subtraction, click;

https://brainly.com/question/2346316

#SPJ2

oliver runs a mile in 6 minutes. he left his house and ran 2 miles north, 3 miles east, then run back to his house. what was the total distance of olivers run

Answers

Answer:

10 miles

Step-by-step explanation:

You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.

in quadrilateral abcd below,

Answers

Answer: where is the quadrilateral

Step-by-step explanation:

A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step

Answers

Answer:

4.8

Step-by-step explanation:

15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8

Answer:

4.8 meters

Step-by-step explanation:

[tex]\frac{15}{6} = 2.5[/tex]  12 ÷ 2.5 = 4.8 meters

I hope this helps!

Which of the following numbers is irrational?

Answers

The second one I think

What is equal to d? I’m sorry but I need help.

Answers

answer: -9/13

(picture below shows how to solve it)

Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying a scarves what do the parts of the expression 48s represents

Answers

The expression 48s represents the cost of the scarves.

Given

Emiko makes Shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves.

Let s represent the price of the scarves.

The cost of each scarves is 48.

Therefore,

The cost of scarves = Number of scarves × cost of each scarves.

The cost of scarves = s × 48

The cost of scarves = 48s

Hence, the expression 48s represents the cost of the scarves.

To know more about Expression click the link given below.

https://brainly.com/question/18371860

Answer:In the expression 48s ,represents the number of scarves and 48 represents  the price per scarf

Step-by-step explanation:

What is the measure of angle b?

Answers

Answer:

if those lines are parallel, then the m∠ = 92°

Step-by-step explanation:

The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.

If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?

Answers

Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A function f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse function is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

Simplify the following expression.

5.3x − 8.14 + 3.6x + 9.8

A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66

Answers

Answer:

D

Step-by-step explanation:

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66

what is 10x plus 50 - 2 divided by 6 + 100 times 8 - -2.

Answers

Answer: the answer is -947 hope this helped.

Step-by-step explanation:

Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable

Answers

Answer:

The input of the function

Step-by-step explanation:

The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.

Answers

Answer:

Domain=All Real Numbers Range=y>2

Step-by-step explanation:

Since the graph expands infinitely across the x axis it is all real numbers

Since the Y covers all the numbers above 2 it is y>2

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12.
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
Of(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
O f(x) = 5x + 2

Answers

Answer: I think it’s f(x)=2x+2

Step-by-step explanation:

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