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What is the argument of z = 1/16 - square root of 3/16 i?

HURRY PLEASE!!!!!!!What Is The Argument Of Z = 1/16 - Square Root Of 3/16 I?

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Edg2020

Answer 2

The value of the argument of z is -π/3.

What is the argument of z?

The angle that the line from Ф, z to the origin creates with the positive direction of the real axis is known as the argument of z is Ф, and it is variously represented by the symbols arg ( z ), (z) or Ф. Because it is an argument of z is Ф, then 2 nπ + Ф is likewise a valid argument, the argument of z can take on any number of conceivable values.

We define a singular value known as the major argument of z to be more precise.

Given z = 1/16 - √3/16i

equation of z is x + iy

here x = 1/16 and y = -√3/16

to find the angle,

tanФ = y/x

tanФ = (-√3/16)/(1/16)

tanФ = -√3

Ф = tan⁻¹(-√3)

Ф = -π/3

Hence  arguement of z is -π/3.

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Related Questions

Brooke needs a new computer. On Friday, the computer was $200.00. On Saturday, the price of the computer was $149.00. Determine if there was a markup or markdown and by what percent.

Answers

Answer:

Step-by-step explanation:

Given

price of the computer on Friday = $200

price of the computer on Saturday = $149

Difference in price = 200 - 149 = $51

Since the price reduces in price by $51, hence there was a markup in price.

% markup = difference in price/original price * 100%

% mark up = 51/200*100%

% markup = 51/2

% markup = 25.5%

Hence the markup was a 25.5% change

Answer:

25.5 is the answer..........................................................

Step-by-step explanation:

.......................................................

Answers

Answer:

............................................................

Step-by-step explanation:

Answer:

................................................................

help ;w;

Daniel rode his bicycle from Barton to Wells along the path shown on this map.

If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?​

Answers

I’m going to guess 12.4mph. Sorry if it’s wrong

Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in​ slope-intercept form, if possible.

Answers

Answer:  [tex]y=-\dfrac67x-\dfrac{34}{7}[/tex]

Step-by-step explanation:

Slope-intercept form: y=mx+c   (i) , of linear equations,  m= slope and c= y-intercept of the line.

6x+7y=13in slope intercept form would be :

[tex]7y=13-6x\\\\\Rightarrow\ y=\dfrac{-6}{7}x+\dfrac{13}{7}[/tex]

Comparing to (i) , [tex]m = \dfrac{-6}{7}[/tex]

Slope of parallel lines are equal.

So, slope of required line = [tex]m = \dfrac{-6}{7}[/tex]

Equation of line with slope m and passes through point : [tex](y-b)=m(x-a)[/tex]

So, equation of required line:

[tex](y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}[/tex]

Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?

3%
4%
6%
7%

Answers

Answer:

About 3%

Step-by-step explanation:

3% of $167,000 is $5,010

5010 times the 20 years is 100200 add that to the 167000 and you get $267,200

The actual answer is about 2.4% but 3% is the closest.

1/3 of the sum of 2 numbers is 20.One of the number is 32.What is the other number?​

Answers

The other number is 28.

Tell a folk story about the history of irrational numbers. Research what is known about irrational numbers, their development, and why they are important.

Answers

Answer:

The history of irrational numbers, The discovery of irrational numbers is usually attributed to Pythagoras, more specifically to the Pythagorean Hippasus of Metapontum, who produced a (most likely geometrical) proof of the irrationality of the square root of 2. The story goes that Hippasus discovered irrational numbers when trying to represent the square root of 2 as a fraction. However Pythagoras believed in the absoluteness of numbers, and could not accept the existence of irrational numbers. He could not disprove their existence through logic, but his beliefs would not accept the existence of irrational numbers and so he sentenced Hippasus to death by drowning. Irrational numbers are important because without it we wouldn't have the continuum of real numbers which would make geometry impossible to do in life.

Step-by-step explanation:

Please help me!!!! I will mark brainlist.

Answers

Answer:

angle 1 =135

Step-by-step explanation:

it is 180 degrees total. We know that there are two angles that have a ratio to 3:1. So, assign x to 2. Since 1 = 3x, we do 3x+x =180

4x=180

x=45 or angle 2

180-45=135 or angle 1

Multiply angle 2 by 3 to check if its correct

Answer:

the measurement of angle 1 is 135 degrees. (i think)

Step-by-step explanation:

so we know that angle 1 and 2 are at a 3:1 ratio

and that 1 and 2 add to 180 degrees

if you plug the number 45 in to angle 1, then multiply that by 3 you get 135

the remaining number to add to 180 would be angle 2

which is 45 degrees.

If the explanation is choppy or hard to read, apologies, its fairly hard for me to explain this.

however i hope this helps.

Please Fill in the blanks.

Answers

Answer:

It's blurry..

Step-by-step explanation:

Do you mind either taking a clearer picture or typing it out in the comment section?

Answer:

I can't read it.

Step-by-step explanation:

answer this question for brainliest

Answers

Answer:

y = -7x + 26

I checked it on Desmos

As checked on Desmos (see photo attached) the answer should be:

Y= -7x + 26

To get this, I first plotted the points (4,-2) and (2,5). I then did rise over run, and counted how far down and how far to the right the points changed, and I got -7/1. Finally, To find the y-intercept, I plugged in numbers starting from 0 until I was able to make a slope of a line that lined up with the points.


Hope this helps :)

The temperature is -10 degrees and increases 5 degrees. What temperature is it now.

Answers

Answer:

-5 degrees

Step-by-step explanation:

-10+5= -5

Answer:

-5 degrees

Step-by-step explanation:

Current temperature = initial temperature + increased temperature

Current temperature = [tex]-10+5[/tex]

Current temperature = [tex]-5[/tex]

For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.

Answers

Answer:

8

Step-by-step explanation:

Answer:D is incorrect

I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17

Answers

Answer:

-27.6

Step-by-step explanation:

I'm smart but probably shouldn't use my answer

120-75+105 please do it in order

Answers

Answer:

150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

120-75=45

45+105=150

120-75+105=150

Savvas Realize
In Allentown, Pennsylvania, there are two hamburger shops, Jenny's Burgers and the Burger Hut. Jenny's Burgers sells a record 36 burgers in 5 hours. The next day, Burger Hut broke the record for 108 burgers in 5 hours. How many times more is the record of Burger Hut then Jenny's Burgers?
How do you know?

Answers

Answer: the record is 3 times higher

Step-by-step explanation:

The record Jenny's Burgers sold was:

36 burgers in 5 hours

The record Burger Hut sold was:

108 burgers in 5 hours

We have to divide the record of Burger Hut by Jenny's Burgers.

108 divided by 3 is 36.

So, the record is 3 times higher. Hope this helps!

Answer:

3 times the quantity

Step-by-step explanation:

108 divided by 36 equals 3 times the quantity

identify the equation in the point-slope form the line parallel to y=3/4x-4 that passes through (-1,7)

Answers

y = 3/4x -4
The slope is 3/4 since it is written in the form y =mx+b where m is the slope
We want a line that is parallel so it will have the same slope
We know the slope of the new line (3/4) and a point (-1,7)
So we can use the point slope form of the equation
y-y1 = m(x-x1)
y-7 = 3/4(x--1)
y-7=3/4(x+1)

Which team has the best record? Explain how you know. a. Jules' Rules; For every three games that they played, they only lost 1. b. High-5s; For every nine games that they played, they only lost 1. c. Pink Sox; For every four games that they played, they only lost 1. d. Go-Girls; For every ten games that they played, they only lost 1.

Answers

Answer:

D. Go-Girls; For every ten games that they played, they only lost 1.

Step-by-step explanation:

They win nine games and lose one

9:1 is the ratio

d. Go-Girls; For every ten games that they played, they only lost 1 and performed the best.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Let, The numerator of a fraction represents the number of games lost and the denominator represents the total number of games played.

Therefore, The fractions that represent this context for all the teams are,

1/3, 1/9, 1/4 and 1/10.

We know the value of a fraction increase with the same numerator and smaller and smaller denominator.

So, The fraction 1/10 has the least value which indicates that it is the best performer.

learn more about fractions here :

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the sum of the interior angles in a pentagon

Answers

Answer:

540°

Step-by-step explanation:

When you have a polygon (shape with 3+ sides), you can split the shape into the lowest number of triangles and use that to calculate the interior angles of the shape. Thus works because triangles have angles that always add up to 180°

A Pentagon can be split into 3 triangles minimum, which means you have 180 + 180 + 180. Or...

180 x 3 = 540

PLEASE HELP PLEASE HELP 19 POINTS...PLEASE HELP

Answers

Answer:

-3/2

Step-by-step explanation:

Rise = -3

Run     2

Answer:hiiiii

Step-by-step explanation:

lol


Please help me very important question.

Answers

So you can mark the other person as brainliest

PLS HELP I AM RunNInG LOW ON PONITS AND WONT BE ABLE TP REPOst

Answers

Answer:

The answer would be D.

Step-by-step explanation:

Rearrange the equation so m is the independent variable.
-2m-5n=7m-3n

Answers

Answer:

-2m -5n = 7m - 3n

<=> -5n + 3n = 7m + 2m

<=> -2n = 9m

<=> m = [tex]\frac{-2}{9}n[/tex]

Step-by-step explanation:

Answer:

n = -9/2m

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

What is the missing number from the following sequence?

4 7 11 18 29 47 __ 123 199 322

Answers

Answer: 76

Step-by-step explanation: 29 + 47

Question is: Solve -7(x+6)=4(x+6)

Answers

[tex]\huge\boxed{x=-6}[/tex]

Hey there! Our goal here is to isolate the variable on one side of the equation.

[tex]\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}[/tex]

Answer: The answer is x=–6.

Step-by-step explanation: Step 1: Simplify both sides of the equation:

[tex](-7)(x)+(-7)(6)=(4)(x)+(4 )(6)[/tex] (Distributive Property)

[tex]-7x+-42=4x+24[/tex]

[tex]-7x-42=4x+24[/tex]

Step 2: Subtract 4x by the both sides: [tex]-7x-42-4x=4x+24-4x[/tex]

[tex]-11x-42=24[/tex]

Step 3: Add 42 to the both sides: [tex]-11x-42+42=24+42[/tex]

[tex]-11x=66[/tex]

And step 4: Divide both sides by -11: [tex]\frac{-11x}{-11}=\frac{66}{-11}[/tex], [tex]x=-6[/tex].

I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D

Solve the following equation for x.
5/8x +4 = 3/8x +12

Answers

Answer:

x=32

Step-by-step explanation:

8(5/8x+4 = 3/8x+12)

5x+32=3x+96

2x+32=96

2x=64

x=32

Answer:

x = 32

Step-by-step explanation:

5/8x + 4 = 3/8x + 12

subtract 3/8 from both sides

2/8x + 4 = 12

simplify

1/4x + 4 = 12

subtract 4 from both sides

1/4x = 8

multiply each side by the reciprocal of 1/4

4/1 • 1/4x = 8 • 4/1

solve

x = 32

8 1/4 pounds of flour are used to make 4 1/8 papier-mâché pasta recipe how much flour is used in one recipe

Answers

Answer:

1/6

Step-by-step explanation:

ive seen that question b4

2 pounds of flour are required to make 1 recipe, as of the given condition.

Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.

Thus,  2 pounds of flour are required to make 1 recipe, as of the given condition.

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plz show work....hellp

Answers

Answer:

f(-12) = -15

Step-by-step explanation:

f (-12)

we put -12 in place of x

-12 - 3 = -15

so, f(-12) = -15

(-4 2/3) (1 1/2) as a mixed number in simplest form

Answers

Answer:

-7

Step-by-step explanation:

Help Me This Is Multiple Choice

Answers

Answer:

The answer is 3, 4, and 6 choices

Step-by-step explanation:

Because its correct

Pls mark me as brainliest

Answer:

It's the 2nd, 3rd, and last box.

Find the surface area of the rectangular prism.
1 mi
1 mi
5 mi

Answers

Answer:

20mi[tex]1^{2}[/tex]

Step-by-step explanation:

Well, I'm guessing that the 1mi by 1mi is the two square sides and 5 mi is the length of the rectangular part

So with that information, the two surface areas of the squares would be 1mi[tex]1^{2}[/tex]+1mi[tex]1^{2}[/tex] is 2mi[tex]1^{2}[/tex]

And then the four rectangular sides would be 5mi[tex]1^{2}[/tex] *4 = 20mi[tex]1^{2}[/tex]

in conclusion

20mi[tex]1^{2}[/tex]

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