Which phrase describes how to divide a complex number z by r(cos θ + i sin θ)?

Scale by a factor of StartFraction 1 Over r EndFraction and rotate clockwise by θ.
Scale by a factor of r and rotate clockwise by θ.
Scale by a factor of StartFraction 1 Over r EndFraction and rotate counterclockwise by θ.
Scale by a factor of r and rotate counterclockwise by θ.

Answers

Answer 1

Answer:

its a

Step-by-step explanation:

Answer 2

The phrase is Scale by a factor of 1 /r and rotate clockwise by θ.

What is complex number?

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

Given:

z=r(cos θ + i sin θ)

So, to divide a complex number the best phrase to describe is Scale by a factor of 1 /r and rotate clockwise by θ.

Learn more about complex number here:

https://brainly.com/question/28007020

#SPJ2


Related Questions

3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20​

Answers

Answer:

The expected value of lateness [tex]\frac{7}{20}[/tex] hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

Compute the expected value of lateness as follows:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

         [tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]

Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.

An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.

Expected value of lateness is  [tex]\frac{7}{20}[/tex] hours.

Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.

So, below a table is formed.

         x       0             1            2           3

      P(x)      4/5         1/10      1/20       1/20

From formula of expected value,

        E(x) = ∑ x P(x)

[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]

So, expected value of lateness is 7/20 hours.

Learn more:

https://brainly.com/question/23286309

Please help me I need help?!!!

Answers

Answer:

B

Step-by-step explanation:

-2(b+5)= -6
What is b?

Answers

Answer:

-2

Step-by-step explanation:

It would be =

-2(-2 + 5) = -6

4 - 10 = -6

-10 and a positive four is a -6

Sarah joined an online music store. She wants to spend no more than $75 at the music
store. The cost of her yearly membership is $15.99 and the price to download a song
$0.79. What number of songs can Sarah download and stay within her budget.

Answers

Answer:

sarah can buy 88 songs

Step-by-step explanation:

filler fbjebdjsndjen

Answer:

sarah has to give her 15.99 from 75 after that she will be left with 59.01 and with that she can buy 74 songs

6. What is the equation in slope-intercept form for the graph shown?
A) y + x = −2
B) y = 2x + 1
C) y – 2x = 1
D) y = –2x + 1

Answers

d, the rise over run method -2/1 and the y intercept is 1

a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim

Answers

Answer:

3.5 km

Step-by-step explanation:

its 10.5 divided by 3 to get this answer

plz give me brainliest i need it plz

A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.

HURRY HELP PLS!!

Answers

Answer:

y = 3x + 10

Step-by-step explanation:

Answer:

im pretty sure it is (0,5) or (10,0)

Step-by-step explanation:

Solve: 2x + 15 = -3x
Please help me out! I need to solve for X

Answers

Answer:

X=-3

Step-by-step explanation:

2x+15=-3x

15=-5x

x=15/-5

x=-3

Answer:

x = -3

Step-by-step explanation:

2x + 15 = -3x

15 = -5x

x = -3

Which is a graph for the inequality m greater than or equal to 2?

Answers

Answer:

The third one is the answer. if you ever need help hit me up.

Step-by-step explanation:

A class of 32 students has 12 girls. What is the ratio of girls to boys?

A. 3:5
B. 5:3
C. 3:8
D. 8:3

Answers

Answer:

d is the answer

in think

Step-by-step explanation:

try it

Answer:

A

Step-by-step explanation:

Number of student=32

Number of girls=12

Number of boys=32-12

=20

Ratio of girls to boys=12:20

=6:10

=3:5

How do I solve for x 7x–1=125

Answers

Answer:

x=18

Step-by-step explanation:

You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!


2(5x−2)− 2x -2 =34
Solve for x

Answers

X equals five my guy

Help me please please

Answers

Answer:

wut i cannot see the question

Step-by-step explanation:

Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?

-$6.75
-$9.00
-$12.00
-$27.00

Answers

Answer: 27.00

Step-by-step explanation:

$50 - $23 = $27

Answer:

$27.00

Step-by-step explanation:

"D"

Find the remainder when f(x) = 2x3 − 12x2 + 11x + 2 is divided by x − 5.

Answers

Answer: I couldn’t find your answer to this mathematics question, try a different question to this mathematics answer so I can get it.

Step-by-step explanation:

Answer:

Its 7 pls brainliest

Step-by-step explanation:

A business is owned by 3 people. Mrs. Applegate owns
3
19
of the business. Mrs. Brown owns 3 times as much as
Mrs. Charles. What fractional part of the business does Mrs. Brown own?

Answers

Given:

Mrs. Applegate owns  [tex]\dfrac{3}{19}[/tex] of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  [tex]=\dfrac{3}{19}[/tex] of the business.

[tex]x+3x+\dfrac{3}{19}=1[/tex]

[tex]4x=1-\dfrac{3}{19}[/tex]

[tex]4x=\dfrac{19-3}{19}[/tex]

[tex]4x=\dfrac{16}{19}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{16}{4\times 19}[/tex]

[tex]x=\dfrac{4}{19}[/tex]

Now,

Mrs. Brown owns  [tex]=3\times x[/tex]

[tex]=3\times \dfrac{4}{19}[/tex]

[tex]=\dfrac{12}{19}[/tex]

Therefore, Mrs. Brown owns  [tex]\dfrac{12}{19}[/tex] of the business.

Three good friends are in the same algebra class. Their scores on a recent test are three consecutive integers whose sum is 252 ? Pls asap

Answers

Answer:

83, 84, 85

Step-by-step explanation:

1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of
R(t) = 130,000
dollars/year for the next 3 years. If the prevailing interest rate is 3.6%/year compounded continuously, find the future value of this income stream. (Round your answer to two decimal places.)

2) Suppose an investment is expected to generate income at the rate of
R(t) = 200,000
dollars/year for the next 9 years. Find the present value of this investment if the prevailing interest rate is 8%/year compounded continuously. (Round your answer to two decimal places.)

3) Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of
R(t) = 400,000
dollars/year. If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (Round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of

R(t) = 130,000 to generate income at the rate of

R(t) = 200,000 Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of

R(t) = 400,000

The following measurements were added: 5.45 + 6.1 + 2.84. what should
the answer be reported as *
1)14.39
2)14.3
3)14.4
4)14

Answers

Answer: 14.39

Explanation:

5.45+2.84= 8.29
Then for 6.1 you add a zero to the end and make it 6.10 which is the same thing
Now 8.29+6.10= 14.39

what is 0.44×(−534) ??

Answers

Answer:

−234.96

Step-by-step explanation:

Hope its the right answer that you're looking for :)

Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?
64
80
100
180
I NEED HELP ON SOME MORE PROBLEMS ANYONE WILLING TO HELP???

Answers

Answer:

80

Step-by-step explanation:

Answer:

B (also known as 30)

Step-by-step explanation:

hope this helps!

What is the polynomial of least degree with the given zeroes -2 and 4?

Answers

Answer:

-2

Step-by-step explanation:

base on my stuck knowledge

How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100

Answers

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

Learn more about multiplication here:

https://brainly.com/question/26816519

#SPJ2

Look at image which graph shows T (ABC)?

Answers

Answer:

A.

Step-by-step explanation:

That is a translation of 3 units left and 6 units down.

Rewrite the expression in the form b^n

Answers

Answer:

b 15/4

Step-by-step explanation:

a cook has 6 1/2 cups of sliced carrots
how many 3/4 cup servings of carrots is this

Answers

Answer
8 2/3 cup servings of carrot.

Explanation
Divide 61/2 by 3/4

Answer:8 2/3

Step-by-step explanation:

What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5

Answers

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

a = 1b = 4c = -5

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ2

Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.

Answers

Answer:

The minimum sample size required is 97.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this confidence interval is:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, z = 1.96.

Compute the minimum sample size required as follows:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]

Thus, the minimum sample size required is 97.

For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?

Answers

12
Plug three into the equation 3(3) + 3 =12

2)
Mike went to the doctor and was found to be 20 pounds overweight.
The doctor discovered that Mike ate an average of 2000 calories per
day. He said for Mike to lose weight and meet his goal, the maximum
amount of calories he could eat per day was 1750. How many calories
will Mike be cutting out each week (7 days)?

Answers

Answer:

1750 Calories

Step-by-step explanation:

2000-1750=250

250x7=1750

Other Questions
How could Tang and Sung paintings be described?abstract, with no recognizable subjectrealistic, with a focus on real-life examplessurreal, with a focus on dreams or fantasyexpressionist, with an emphasis on emotion It is generally acknowledged that as human beings age, it becomes more difficult for them to lose weight, or even maintain their current weight. People find they have to eat less and/or exercise more to maintain a healthy weight.Which is the most likely explanation of why weight loss/maintenance becomes more difficult as people age? a). As humans age, they becomes less active and use their muscles less; therefore, less chemical energy is converted to thermal energy.b). As humans age, the process of extracting energy from the food becomes less efficient, so more food is needed to provide the same amount of energy.c). As humans age, they become injured more often and need to increase the amount of food they eat to make repairs to body tissue.d). As humans age, the body does not convert chemical to thermal energy, so they do no burn off any calories when exercising.Please hurry! What two integers does Square root of 50 fall between? Approximately how much did the Civil War cost?A. About $8 billionB. About $8 millionC. About $1 billionD. About $100 million 6. What is the equation in slope-intercept form for the graph shown? A) y + x = 2B) y = 2x + 1C) y 2x = 1D) y = 2x + 1 Help pleasseeeeeeeeeeeeeeeeeeer 2(5x2) 2x -2 =34Solve for x a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim what is 0.44(534) ?? can someone help me? Find the minimum sample size you should use to assure that your estimate of p will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, p is estimated to be 0.2. 27. Use Structure Use the table at the right. Yolanda is planning a party that will take place in three rooms. a. Write an expression that can be used to represent the total amount Yolanda will need to rent all three rooms and the sound system for t hours. b. How can you use a property to write a simplified equivalent expression? Given that the following statement is true"If a shape is a polygon, then it is a closed figure."Which of the following statements must also be true?A. If a shape is a closed figure, then it is a polygon.B. If a shape is not a polygon, then it is not a closed figureC. If a shape is not a closed figure, then it is not a polygonD. If the shape is not a polygon, then it is a closed figure. International trade specialists that buy goods at a discount from a small businesses and resell them abroad are calledA. commission house brokers B. exporting trade companies C. business trade unions D. domestic channel companies 11. A condition in which cells that look and act like cells of the ring of the uterus, but are found in other parts of the abdominal cavity is called:herriamenstruationendometriosisovulation There were 10 students in a teacher's classroom. The next week, there were 17 students. What is the percent increaseof the number of students? can someone please help me figure this out! due in 10 mins!! 20 POINTS!!!! use the numbers -4, -1, 3/2, or 2/3 to write an expression that is less than -4 Need helpInstructions are in pictureHelp with 1, 2, 3, 4, 5 Pleaseee helpppp! !!What is the mood of the following quote?The tyrant regarded her, for some moments, in evident wonder at her audacity. He seemed quite at a loss what to do or say-how most becomingly to express his indignation. At last, without uttering a syllable, he pushed her violently from him, and threw the contents of the brimming goblet in her face.Group of answer choicesFearful and scaryGloomy and upsettingLonging and forlornDetermined and willing