If complex number z = 3 Left-bracket cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) right-bracket, then complete the statements for z4.

The modulus of z4 would be


The coefficient in front of the argument (or angle) of z4 would be


ANSWER: 81

ANSWER: 4

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Answer:a81

b4

Step-by-step explanation:


Related Questions

Make x the subject of the formula 3 ( c − b x ) = 18

Answers

Answer:

- 6-c/b

Step-by-step explanation:

3 ( c − b x ) = 18

=> c - bx = 18/3

=> -bx = 6 - c

∴ x = - 6-c/b

Hopefully this helps!!

The given formula written in the form of x as the subject is obtained as  x = (c - 6)/b.

What is a Linear equation?

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given formula is  3(c − bx) = 18.

It is in the form of a linear equation.

It can be rewritten as follows,

3(c − bx) = 18

⇒ c − bx = 18/3

⇒ bx = c - 6

⇒ x = (c - 6)/b

Which implies the formula written as x as the subject.

Hence, the required form of the given formula is  x = (c - 6)/b.

To know more about Linear equation click on,

brainly.com/question/11897796

#SPJ2

Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm

Answers

Answer:

43.5 cm

Step-by-step explanation:

The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.

45/15 = 3

14.5 * 3 = 43.5 cm

Answer:

43.5

Step-by-step explanation:

I need help finding this answer

Answers

y = -2x - 4

--> Swap sides so that all variable terms are on the left hand side

-2x - 4 = y

--> Add 4 to both sides

-2x = y + 4

--> Divide both sides by -2

-2x/-2 = y+4/-2

--> Dividing by -2 undoes the multiplication by -2.

x = y+4/-2

--> Divide y+4 by -2

x = -y /2 -2

-------------------------------------------------------------

y = 1/4x + 5

--> Swap sides so that all variable terms are on the left hand side.

1/4x + 5 = y

--> Subtract 5 from both sides.

1/4x = y - 5

--> Multiply both sides by 4.

1/4x 1/4 = y - 5/ 1/4

--> Dividing by 1/4 undoes the multiplication by 1/4.

x = y - 5/ 1/4

--> Divide y - 5 by 1/4 by multiplying y - 5 by the reciprocal of 1/4.

x = 4y - 20

Hope this helps you!

which type of image format is constructed using proportional formulas rather than pixels?

Answers

Answer:

vector.

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

Answers

Answer:

30° and 60°

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

----------------------

check

90 + 30 + 60 = 180°

the answer is good

HELPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

HWHAHAHAHA hatdog

jejdisisisiwis

Find the positive integer of a two digit number such that the difference between the tens digit and the unit digit is 2. If the digits are reversed, the sum of the integer and its reverse is equal to 132.

Answers

Answer: The answer is A.

Step-by-step explanation: (10b + a) = 27 --- 9a - 9b = 27 --- a - b = 3.

What id the value of x?

Answers

Answer:

x=43.25

Step-by-step explanation:

this is a isosceles triangle so the other angle is also x

2x+93.5=180

2x=86.5

x=43.25

Help please important if you help you get brain lay

Answers

[1] 1/2

    - It will be 1/2 as large because of the scale factor

[2] 1/4

    - 1/2 * 1/2 = 1/4

[3] (1/2)n

    - For every scale factor (n), there will be a chance of 1/2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

I NEED HELP please, take 50 points if you answer It and a 50/50 at a brainiest.

"The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.

Which graph represents this wage increase for x < 12?"

-normally I'd just double-check this but. . . you get it.

Answers

Red dots are starting co-ordinates and whites are ending co-ordinates .

So the graph must have red dots at the start of line and not mandatory for at the end of line.

x<12

It should not be at end

Check option B

x ends at first point .

And also the interval is 2

so Option B is correct


To make 100g of jam you need 57g of strawberries, 17g of blackberries and the rest should be sugar.
What is the ratio of blackberries to sugar?
Give your answer in its simplest form.

Answers

1. We have to find the mass of sugar in 100g of jam: 100 - (57 + 17) = 26g of sugar

2. Now, we can write the ratio of blackberries to sugar as 17:26. This can’t be simplified

Answer = 17:26
Hope this helps

Write the following phrase as an algebraic expression. Use k for the unknown.

"The product of 20 and a number"

Answers

Answer: 20k

Step-by-step explanation: product means to multiply. Use k for the unknown number. 20 times k can be written as 20k.

Help me please!! it's due today​

Answers

Answer:

the answer would be 14-16=-2

Step-by-step explanation:

first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer

Is 10x-4 proportional

Answers

Answer:

No

Step-by-step explanation:

10x - 4

x = 2/5

Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.

theres the picture i dont know how to write it out.​

Answers

Answer:

x > -2

Step-by-step explanation:

As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.

Hope this helps!!

What is the idea of factoring by grouping?

Answers

Answer:

When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.

Step-by-step explanation:

When factoring by grouping also called castor


Which of the following functions is graphed below?

Answers

Answer:

The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2

Step-by-step explanation:

Pls answer i need help asap lol, No links (30 points + brainly)
How long will it take each student plan to be paid down to $1000?

Answers

The corresponding answers for each student plan are:

plan A: 15 years

plan B: 5 years

plan C: 10 years

plan D: 9 years

Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.

Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.

Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?

Answers

Answer:

it would be y=|x+6|

some more math stuff I don't know of :(

Answers

They are both 40°. This is bc 180-65-75=40

how many three-digit positive integers have exactly two digits that are the same?

Answers

there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:

Step-by-step explanation:

Solve the pair of equation
2x – y=9
4x^2 + 3y^2– 2x + y = 16​

Answers

Answer:

[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]

[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]

Step-by-step explanation:

1) Solve for 2x - y = 9

A. Solve for y.

2x - y = 9

B. Subtract 2x from both sides.

-y = 9 - 2x

C. Multiply both sides by -1.

y = -9 + 2x

D. Regroup terms.

y = 2x - 9

2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16

A. Start with the original equation.

4x² + 3y² - 2x + y = 16

B. Let y = 2x - 9.

4x² + 3(2x - 9)² - 2x + 2x - 9 = 16

C. Simplify.

16x² - 108x + 234 = 16

3) Solve for x in 16x² - 108x + 234 = 16

A. Solve for x.

16x² - 108x + 234 -= 16

B. Move all terms to one side.

16x² - 108x + 234 - 16 = 0

C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218

16 x² - 108x + 218 = 0

D. Use the Quadratic Formula.

[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]

E. Simplify solutions.

[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]

4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.

1) Start with the original equation.

y = 2x - 9

2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]

[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]

3) Simplify

[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]

Can u please help me with this. I’ll make brainliest

Answers

Answer:

number

Step-by-step explanation:

number than number lol sorry i dont know i wish i could help you

Can someone help me with this question? I've been stuck on it for a while :(

Answers

Answer:

  f(x) = x³ -4x² -5x +20

Step-by-step explanation:

If the function is to have rational coefficients, each complex or irrational square root must have a matching conjugate. That is, both -√5 and +√5 must be roots. If there is a root p, then there is a factor (x -p). The factored form of the minimal polynomial is ...

  f(x) = (x -4)(x +√5)(x -√5)

  = (x -4)(x² -5)

  f(x) = x³ -4x² -5x +20

Zach changes $575 into euros. He spends 45% of the euros in France. He changes the euros he does not use into pounds (£)to spend in England. Workout how many pounds he receives.

$1 = 0.88 euros
1 pound = 1.15 euros

Answers

It’s 4.57 hope this helps!!

Does the following relationship represent a function?

Answers

yes that is a function

If it has any repeating x values it isn’t one

Joshua gave away 1/3 of his marbles to Kale.If Kale got 25 marbles,how many marbles did Joshua have at first?​

Answers

Answer:

75

Step-by-step explanation:

joshua - x

kale - 1/3x

1/3x = 25

x = 25(3)

x = 75

-3/-4 in simplest form

Answers

3/4

a double negative equals a positive

Answer:

3/4 is your answer

Step-by-step explanation:

what is the simplest form 2 sqrt 3 / sqrt 6

Answers

howdy the answer is A

sqrt 2

Which expression tells how much greater the temperature change was on Friday than on Saturday?

Answers

Option B

Temperature change on Friday=81-72Temperature change on Saturday=76-69

Total difference

[tex]\\ \rm\Rrightarrow (81-72)-(76-69)[/tex]

The correct expression is (81 - 72) - (76 - 69).

Option 2 is correct.

What is Arithmetic?

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

The high and low temperature for Friday and Saturday is given in the table.

Temperature change = High Temperature - Low Temperature

To find the expression which tells how much greater the temperature change was on Friday than on Saturday:

= Temperature change on Friday - Temperature change on Saturday

= (81 - 72) - (76 - 69)

Hence, the correct expression is (81 - 72) - (76 - 69)

To learn more about arithmetic, click:

brainly.com/question/23848329

#SPJ2

Other Questions
PLZZ HELP MEEEE I will give brainliest1. How does the HIV virus affect the immune system of humans. Be sure to talk about which cells it uses as a host and how using these cells destroys the immune system.2. When does an HIV patient develop AIDS and what is the cause of death for most AIDS patients?3. Is there a cure for AIDS and what affect do drug treatments have on HIV? During a day a student spends 7 hours sleeping of the day studying and 1/12 of the time travelling what fraction of the day is left for other things (in fraction) Paul was diagnosed HIV positive about 10 years ago but decided not to pursue treatment or medication. Now, he is starting to experience chills, fevers,swollen lymph glands, weakness, and severe weight loss. Which of the following may be true for Paul?His viral load has increased significantly, and at this time, he is highly infectious,O He is too far past the point of initial infection to infect anyone else, but his health is at risk.O He may be entering the clinical latency stage of an HIV infection, when symptoms begin to emerge.O His options for any kind of treatment are few at this point; too much time has passed. which of the following are perfect cubes 1)3375 2)8000 3)6859 find the prime factorization of each number. 52, and 41 Raffle tickets are being sold for a fundraiser. The function a(n) relates theamount of money raised to the number of tickets sold, n.It takes as input the number of tickets sold and returns as output the amountof money raised.a(n) = 3n - 30Which equation represents the inverse function n(a), which takes the moneyraised as input and returns the number of tickets sold as output? Which of the following, if eliminated, would completely prevent the greenhouse effect from occurring on earth? A. Atmosphere Clouds B. Fossil fuels C. Acid rain D. The ozone layer E. Chlorofluorocarbons One integer is 8 less than another integer. The sum of the two integers is 72. Find the two integers. Step 2 of 2: What are the two integers? Separate values with a comma. If a mutation occurs such that splicing does not remove one of the introns in a gene, what effect will this have on the protein encoded by that gene things which are matter but not substance Based on the gender and number of each subject belong, write the correct forms of the adjectives in parentheses. She _____ me a letter last week. which political measure made colonist feel like parliament A humpback whale can eat 4.4 x 10^3 plankton a day during feeding season. If the feeding season lasts 120 days, find the total number of plankton a humpback would eat by the end of feeding season. Write your answer in scientific notation I need help on this Need help with geometry problem I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest. Name Performance Task Write and Solve Equations Account Mario received his most recent bank statement and is planning what to do with his finances. He wants to be responsible with his money and save as much as he can for the future. The table shows the current balance of his 3 bank accounts. Checking Account: 7,456.43Savings Account: 2,010.55Money Market Account: 2,378.09 Write your answers on another piece of paper. Show all your work to receive full credit. Part 4 Mario wants the total of the 3 accounts to be at a minimum of $13,000 after his next paycheck. His next paycheck will be worth $1,200. He thinks that he will reach this goal if he deposits his entire paycheck to his accounts. Is Mario correct? Use an equation to support your answer. What is 5 1/4 + 5.8333333 which is NOT a example of a biotic factor?