The complex numbers u and v are given by u = 1 + 2sqrt3i and v = 3 + 2i. In an Argand diagram,
u and v are represented by the points A and B. A third point C lies in the first quadrant and is
such that BC = 2AB and angle ABC = 90Å. Find the complex number z represented by C, giving
your answer in the form x + iy, where x and y are real and exact

Answers

Answer 1
You got a picture or something?

Related Questions

Problem:

Ford cut a whole pizza into 8 equal parts. He gave 2 slices to each
brothers and ate the rest. What part did each one get?

Question:

1.)To whom did Ford give the 2 slices of pizza?

2.)How did he divide the pizza?

3.) What do you call a part of it?









plzzz....
i follow you​

Answers

Answers:

1. his brothers :)

2. Into 8 equal parts

3. a fraction of the pizza, a slice

Answer:

1. his brothers

2. in 8 equal pieces

3. a slice

Step-by-step explanation:

1/4 of 24 is 6, so 3/4 or 24 =

Answers

Answer:8

Step-by-step explanation:

18

can i have Brainliest?

What is the area of one trapezoidal face of the figure

Answers

there is no area jdhdiebs

a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?

Answers

Answer:135000

Step-by-step explanation:

Answer:

The field has an area of 135,000 m².

Step-by-step explanation:

We first convert the measurements from kilometers to meters by multiplying by 1000.

- - - - - - - - - - - - - Length: 0.45 km = (0.45 × 1000) m = 450 m.

- - - - - - - - - - - - - Width: - - 0.3 km = (0.3 × 1000) m = 300 m.

So the field is a rectangle 450 meters long and 300 meters wide.

To compute the are of this rectangle, we multiply its length by its width.

- - - - - - - - - - - - - - Area = 450 × 300 = 135,000 m².

so the answer is 135,000 m².

Mr. Smith places 10 cards labeled 1, 5, 8, 9, 11, 19, 21, 23, 28, and 30 in a bowl. He will randomly select one card from the bowl without looking.
What is the probability that Mr. Smith will select a card with a two-digit number? HURRY I WILL LIKE AND GIVE 5 STARS IF RIGHT

Answers

Answer:

6/10

Step-by-step explanation:

10 cards

4 cards below 10

6 above 10

Probability is 6/10

Than Nguyen opened a business called Nguyen engineering and recorded the following transactions in its first month of operations.

June 1: Than Nguyen, the owner, invested $158,000 cash, office equipment with a value of $19,500, and $89,000 of drafting equipment to launch the company in exchange for common stock.

June 2: the company purchased land worth $63,500 for an office by paying $26,000 cash and signing a long-term note payable for $36,900.

June 2: The company purchased a portable building with $40,500 cash and moved it onto the land acquired on June 2.

June 2: The company paid $11,700 cash for the premium on a 15-month insurance policy.

June 7: The company completed and delivered a set of plans for a client and collected $17,800 cash.

June 12: The company purchased $37,400 of additional drafting equipment by paying $24,000 cash and signing a long-term note payable for $13,400.

June 14: The company completed $37,200 of engineering services for a client. This amount is to be received in 30 days.

June 15: The company purchased $2,600 of additional office equipment on credit.

June 17: The company completed engineering services for $27,000 on credit.

June 18: The company revived a bill for rent of equipment that was used on a recently completed job. The $2,750 rent cost must be paid within 30 days.

June 20: The company collected $18,600 cash in partial payment from the client billed on June 14.

June 21: The company paid $2,000 cash for wages to a drafting assistant.

June 23: The company paid $2,600 cash to settle the account payable created on June 15.

June 24: The company paid $1,650 for minor maintenance of its drafting equipment.

June 26: The company paid $10,060 cash in dividends.

June 28: The company paid $2,000 cash for wages to a drafting assistant.

June 30: The company paid $3,660 cash for advertisements on the web during June.

Description of items that require adjusting entries on June 30, follow:

A.) The company has completed, but not yet billed, $17,600 of engineering services for a client.

B.) straight-line depreciation on the office equipment, assuming a 5 year life and a $2,300 salvage value, is $330 per month.

C.) straight-line depreciation on the drafting equipment, assuming a 5 year life and a $12,400 salvage value, is $1,900 per month.

D.) straight-line depreciation on the building, assuming a 25 year life and a $1,500 salvage value, is $130 per month.

E.) the balance in prepaid insurance represents a 15 month policy that went into effect on June 1.

F.) Accrued interest on the long-term note payable is $190.

G.) the drafting assistant is paid $2,000 for a 5 day work week. 2 days’ wages have been incurred but are unpaid as of month end.

Please answer please thank you

Answers

Hard question thx for the points

Based on the transactions made by Than Nguyen, the following journal entries are true:

Date                Account Title                                   Debit                Credit

June 1             Cash                                              $158,000

                       Office equipment                         $   19,500

                       Drafting equipment                      $89,000

                       Nguyen, Captal account                                       $266,500

June 2             Land                                              $63,600

                       Cash                                                                      $   26,600

                       Note Payable                                                         $36,900

June 2             Building                                         $40,500

                       Cash                                                                      $40,500

June 2             Prepaid insurance                          $11,700

                       Cash                                                                      $11,700

June 7              Cash                                                 $17,800

                         Service Revenue                                              $17,800

What journal entries should be made?

The amount that Than Nguyen put up for capital should be credited to the capital account and then debited to the various asset accounts.

The purchased land should also be debited to land, and the cash that was spent to buy the land should be credited along with the note payable.

Find out more on making journal entries at https://brainly.com/question/17201601.

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help me on my geometry homework? :/

Answers

Answer:

You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.

I used triangles

The rotated point would be at (1, 2)

ANSWER: the question mark = 1

True or false: Removing the parenthesis from will change the result.

Answers

Answer:

true

Step-by-step explanation:

the steps won't be the same

Answer:

True

Step-by-step explanation:

In a equation with parenthesis it is VERY important to never take them out of the equation. The only reason for that is that the parentthesis are signaling you to solve what is in the parentthesis first. And if you where to move the parenthesis out your answer would be totally different. Hope this helped. (Brainliest?)

Simplify the expression
3 (x+4) -2x
X+4
x+12
3x+10
7-x
3x+12

Answers

Answer:

x+12

Step-by-step explanation:

3 (x+4) -2x

Distribute

3x+12 -2x

Combine like terms

x+12

Answer:Move

11

3

to the left side of the equation by subtracting it from both sides.

30

3x-12

+

1

x-4

-

11

3

=0

Step-by-step explanation:

How to figure out diameter

Answers

Answer:

If you are given the area of a circle, the diameter is equal to the square root of four times the area divided by pi (diameter = √ (4 x area) / pi).

Answer:

A diameter of a circle is twice its radius!

Hope that helps!

Step-by-step explanation:

Your next-door neighbor, Bob, decides to find out how the community feels about the cleanliness of the community pool in your housing tract. The survey has two choices: good (clean) or bad (dirty). He places one in every mailbox on the street where he lives. About a quarter of the neighbors return the survey, and 60% of those say that the pool is bad. There may be many types of problems here, but which problem probably causes the most damage

Answers

Answer:

the survey population is very isolated

Step-by-step explanation:

There is not much information to go on but from the information provided we can say that the biggest problem is that the survey population is very isolated. Bob gave the survey to every single individual in his block, this does not represent the entire population of the people that use the community pool. Therefore, the data would not represent the entire population. Instead, Bob should have randomly chosen mailboxes from the entire community to give them the survey.

A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?

Answers

Answer:

(a) (log X - log 25000)/log 0.85 = t

(b) about 9.9 years

Step-by-step explanation:

(a)   Let X = value and t = elapsed years since purchase; X in dollars

X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year

(If you lose 15% of value, you have 85% left, right?)

So if you do it for t years, you have t as the exponent on the 0.85 factor.

[tex]X = 25000(0.85)^t[/tex]  is a good equation, but not logarithmic like they ask.

[tex]log X = log 25000 + log [(0.85)^t][/tex]    because the log of a product is the sum of the logs of the factors

log X = log 25000 + t*log 0.85  because the log of a power is power times log

log X - log 25000 = t* log 0.85    just algebra, subtracting from both sides

(log X - log 25000)/log 0.85 = t   just algebra, dividing both sides

(b)  If we let X = $5000

t = (log 5000 - log 25000)/log 0.85

 = (3.69897 - 4.39794)/-0.07058

 =  9.90

So t = 9.9 years is a good estimate

Carl will have approximately 5.06 years until his new car is worth about $5000.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let V(t) be the value of the car t years after it was purchased.

We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:

[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]

Simplifying this equation, we get:

[tex]V(t) = 25000 \times 0.85^t[/tex]

Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.

We can set V(t) equal to x and solve for t:

[tex]25000 \times 0.85^t = x[/tex]

log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)

Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:

[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)

Divide both sides of the equation by log0.85(0.85) = 1:

t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)

Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:

t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)

b) We want to find the number of years it will take for the car to be worth $5000.

Substituting x = 5000 into the formula derived in part (a), we get:

t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)

t = 5.06

Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.

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Find the value of x.

Answers

Answer:

D

Step-by-step explanation:

So first you know that the angles are across for each other meaning that they are equal.

Therefore the equation would be 7x-13 = 48

Simply do order of operations meaning you subtract 13 from 48 giving you 35.

Then do 35 divided by 7 which means X equals 5 which makes it D.  

Answer:

Umm I am pretty sure this answer is 3

Step-by-step explanation:

what is the slope of the line passing through points (x,y) and (p,q)​

Answers

Step-by-step explanation:

Let (x1,y1) = ( x, y)

(x2 , y2) = (p, q)

Then

Slope (m)

= (y2 - y1) / (x2 - x1)

= ( q - y) / ( p - x)

Hope it will help :)

Select the correct answer.
What is the approximate solution to this equation?
4lni - 8 = 12
ОА.
59,874
OB.
I 10.5
Ос.
IÑ148.4
OD.
I 1.61

Answers

Answer:

Answer: Choice C. [tex]x \approx 148.4[/tex]

Step-by-step explanation:

Logarithmic Equations

Solve:

[tex]4\ln x-8=12[/tex]

Adding 8:

[tex]4\ln x=20[/tex]

Dividing by 4:

[tex]\ln x=5[/tex]

Applying exponentials:

[tex]e^{\ln x}=e^{5}[/tex]

Since the exponential and the natural log are inverse functions:

[tex]x=e^{5}[/tex]

Calculating:

[tex]x \approx 148.4[/tex]

Answer: Choice C. [tex]x \approx 148.4[/tex]

Answer:148.4

Step-by-step explanation:

plato

Find the measure and solve for x

Answers

Answer:

14

Step-by-step explanation:

Number of sides (n) = 10

Sum of all angles of polygon = (n - 2 )* 180

                                                = 8 * 180 = 1440

As this is a regular polygon,

measurement of each angle = 1440/10 = 144

10x + 4 = 144

       10x = 144- 4

       10x = 140

           x = 140/10

           x = 14

PLEASE HELP ME ASAP!

Answers

Answer:

D. local maximum at the point (4, 18)

Step-by-step explanation:

Check the critical points and end points to test for any absolute extrema over the given interval.

3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method ​

Answers

Answer:

x = 2/5, y= -22/5

Step-by-step explanation:

4x−y=6;3x−2y=10

Step: Solve4x−y=6for y:

4x−y+−4x=6+−4x(Add -4x to both sides)

−y=−4x+6

-y/-1 = -4x +6 over -1 (Divide both sides by -1)

y=4x−6

Step: Substitute4x−6for y in 3x−2y=10:

3x−2y=10

3x−2(4x−6)=10

−5x+12=10(Simplify both sides of the equation)

−5x+12+−12=10+−12(Add -12 to both sides)

−5x=−2

-5x/-5 = -2/5 (Divide both sides by -5)

x=  2 /5

Step: Substitute  2/ 5  for x in y=4x−6:

y=4x−6

y=4 ( 2/ 5 ) −6

y=  −22 /5

(Simplify both sides of the equation)

x = 2/5, y= -22/5

You are an entrepreneur and selling handmade kites. Your company Kites-R-Fun has been contacted by a customer in Alaska who wants to purchase several of your best-selling kites and wants you to ship them to her. You have already established the cost at $4 each and it's only going to cost you $8 to ship these items to Alaska. Your competitor Windy Kites sells the same items, but charges half of your price. However, if the customer buys from your competitor, she will be charged $20 in shipping costs.
Write two equations to represent the customer's total cost based on how many kites she purchases from each company where y is the total cost and x is the number of kites purchased.
1. Total cost for Kites-R-Fun *
y = 4x + 8
y = 4x + 20
y = 8x + 4
y = 8x + 20
2. Total Cost for Windy Kites *
y = 2x + 10
y = 2x + 20
y = 8x + 20
y = 20x + 4

3. If the customer in Alaska wants to buy 4 kits, who should she buy from? *
Kites-R-Fun
Windy Kites
4. If the customer in Alaska wants to buy 10 kits, who should she buy from? *
Kites-R-Fun
Windy Kites

Answers

Answer:

do you have the answers i’m taking this rn i’m gonna literally cry lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm not sure if I am correct or incorrect but these are my answers, I'm pretty sure they're correct but I'm not sure as I didn't turn it in yet

1. Fill in the table to find customer costs from each seller.

2. Write an equation to represent the customer's total cost to purchase from Kite-R-Fun.

Y = 4x + 8

3. Write an equation to represent the customer's total cost to purchase from Windy Kites.

Y = 2x + 20

4. Based on your table, if the Alaskan customer wants to buy 4 kites, who charges the least?

Kites - R - Fun

5. If the Alaskan customer wants to buy 10 kites, who charges the least?

Windy Kites

6. (6, 32)

7. Looking at your graph, find the solution and explain what it means in this situation

This point represented where prices have intersected

Por su asistencia y puntualidad, dos empleadas
de una fábrica textil recibieron como estímulo
vales de despensa y dinero en efectivo. A Sandra le dieron 8 vales y $60.00 en efectivo; a
Bertha le entregaron seis vales más $160.00. Si
los vales son de la misma denominación y ambas
reciben la misma cantidad de dinero, ¿qué valor
tiene cada vale?
A) 100 pesos
B) 75 pesos
C) 50 pesos
D) 25 pesos​

Answers

Anwser

El valor de cada vale 50 por eso es que sandra y Bertha recibieron cada una $460

Step-by-step explanation:

x son lo que cuestan los vales

Sandra 8 × +$60

Bertha 6x+$120

Each voucher has a value of 50 pesos.

Option C is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's represent the value of each voucher with the variable "v".

Then we can set up two equations based on the given information:

8v + 60 = 6v + 160 (both employees receive the same amount of money)

8v - 6v = 160 - 60

2v = 100

v = 50

Therefore,

Each voucher has a value of 50 pesos.

Learn more about expressions here:

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The complete question:

For their attendance and punctuality, two employees

from a textile factory received as encouragement

grocery vouchers and cash. Sandra was given 8 vouchers and $60.00 in cash; to

Bertha was given six vouchers plus $160.00. Yeah

the vouchers are of the same denomination and both

receive the same amount of money, what is the value

does each voucher have?

A) 100 pesos

B) 75 pesos

C) 50 pesos

D) 25 pesos

The figure shows the dimensions of a backyard
Find the area
8 yd
eccles
30 yd
15 yd
30 yd
The area of the backyard is
square yards.

Answers

answer:

570yd^2

step by step:

Split the backyard into 2 different rectangles and add the areas together. I did 8x30 and 15x22.
Answer: 570yd^2


Explaining: The area can be found by using the base and the height. Fist I will split the figure into two piece to make it easier to find. The first piece is solved by 30•15=450. The second figure can be solved by 8•15=120. Now add the total numbers together and you get 570yd^2

what is the quotient of x^2 + 7x +12 and x +4?

Answers

Answer:

The Answer/Quotient is x+3

find the center and radius of this circle (x+13)^2+(y+2)^2=81

Answers

Answer:

center (-13,2)   radius=9

Step-by-step explanation:

(x+13)^2+(y+2)^2=81

x=-13

y=-2

r=sq rt of 81

The center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.

What is a circle and equation of the circle?

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form,

[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]

Given equation of circle

[tex](x+13)^{2} +(y+2)^{2} = 81[/tex]..................(1)

By comparing the standard form of circle with equation 1, we get

(h, k) = (-13, -2) and

[tex]r^{2} = 81[/tex]

⇒ [tex]r = \sqrt{81}[/tex]

⇒ r = 9

Hence, the center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.

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help i will give brainliest

Answers

Answer:

the first one

Step-by-step explanation:

On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday? o A. 360 Exhibits O B. 20 w o C. 80 D. 420​

Answers

Answer:

A) 360 adults

Step-by-step explanation:

c=quantity of child

a=quantity of adult

9c+12.5a=5220

a+c=440    then c=440-a

substitute for c

9(440-a)+12.5a=5220

3960-9a+12.5a=5220

reduce

3.5a=1260

a=360

if George put $6,000 into a savings account that pays 3.5 percent in compound how many years would it take for him to have 18,000 dollars if no money is added or withdrawn during this time?(Round to the nearest tenth)

Answers

Answer:

57.1 years

Step-by-step explanation:

multiply the money put into savings by the interest rate 6000×.035=210

divide the total earned by the annual interest earned

12000÷210=57.1428571428

rounded to the nearest tenth is 57.1

Explain

Don’t use for points or I’ll take it back and report

Answers

Answer:

answer is 27 degrees

Step-by-step explanation:

first of all interior angles of a right sided add up-to 180 degrees and you were given 2 angles already

90 + 63 + x = 180

153 -153 +x = 180 -153

x = 27

hope that helps

Assume you are buying a $15,000 car, with a 12 month loan at 5% interest, a net down payment of $2,500, and
a $40 (non-taxable) fee with 6% in sales tax.
What will be your monthly payment?
A. Between $1000 and $1049
B. Between $1050 and $1099
C. Between $1100 and $1149
D. Between $1150 and $1200

Answers

The answer would be C

Which phrase best describes the scatter plot below

Answers

Answer:

strong negative correlation

Step-by-step explanation:

3 pizzas are shared equally between 10 people. What fraction of a pizza does each person receive?

Answers

Answer:

7

Step-by-step explanation:

and beetween 10-3 7 pizza

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