Yo can someone help me out

Given:

The complex number is:

[tex]z=1+i\sqrt{3}[/tex]

To find:

The argument of the given complex number.

Solution:

If a complex number is [tex]z=x+iy[/tex], then the argument of the complex number is:

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

We have,

[tex]z=1+i\sqrt{3}[/tex]

Here, [tex]x=1[/tex] and [tex]y=\sqrt{3}[/tex]. So, the argument of the given complex number is:

[tex]\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}[/tex]

[tex]\theta =\tan^{-1}\sqrt{3}[/tex]

[tex]\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)[/tex]

[tex]\theta =\dfrac{\pi}{3}[/tex]

Therefore, the argument of the given complex number is [tex]\theta =\dfrac{\pi}{3}[/tex].

Answer:

c = 8.50 + 7.50x

Step-by-step explanation:

c = 8.5 + 7.50x

Answer:

here u go gurly

Step-by-step explanation:

Answer:

B measures 66°

C measures 66° .Sum of all angels is 180° .

Answer:

17.5

Step-by-step explanation:

35÷y = 140 ÷ 70

or, 35 = 2y

or, y= 17.5

Answer:

Answer given below

Step-by-step explanation:

P (spinning yellow) = 2 / 8 = 1 / 4

P (Spinning an odd number) = 4 / 8 = 1 / 2

P ( spinning a number less than 5) = 4 / 8 = 1 / 2

Hope it helps

The probability of spinning a yellow is 1/4.

The probability of spinning an odd number is 1/2.

The probability of spinning a number less than 5 is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

From the spinner

Blue region = 3

Red region= 1

Yellow region = 2

Purple region = 2

So, the probability of getting Yellow

P (spinning yellow) = 2 / 8

                                = 1 / 4

and, the probability of getting odd number

P (Spinning an odd number) = 4 / 8

                                               = 1 / 2

and, the probability of getting less than 5

P ( spinning a number less than 5) = 4 / 8

                                                         = 1 / 2

Learn more about Probability here:

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Answer:

24

Step-by-step explanation:

I just did it in class. it was hard but you just have to think about the question

Answer:

Each notebook cost $3 and each binder cost $4.

Step-by-step explanation:

Do some trial and error when plugging in certain numbers for each notebook and each binder.  You should get $3 and $4 when plugging it in.

Answer: C

Step-by-step explanation:

Answer:

19

i hope this is the correct answer.

From the equation, the smaller number is 67/4.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x = smaller number and

y = bigger number

Then we can formulate an equation

x +y = 64 and y = 3x-3

Substituting y into

x+y = 64, we get the equation

[tex]x + 3x -3 = 64\\\\4x = 67\\\\x = \frac{67}{4}[/tex]

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Answer:

[tex]g(x) = 4[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 3\frac{x}{2}[/tex]

Required

Find g(2)

This is calculated as:

[tex]g(x) = 3\frac{x}{2} \\[/tex]

Substitute 2 for x

[tex]g(x) = 3\frac{2}{2}[/tex]

[tex]g(x) = 3+1[/tex]

[tex]g(x) = 4[/tex]

Answer:

the answer is 3 hours

Step-by-step explanation:

it just makes sense

Answer:

D. 64

Step-by-step explanation:

I calculated it logically

Answer:

Rewrite the equation as 5-3-2. -2 is x, as it says in the problem. All you have to do is solve, so you're answer will result in 0. :)

Answer:

Replace the variable x  

with -2   in the expression.

5 − 3 x

Step-by-step explanation:

Answer:

The population density of India in 2016 was of 1042.8 habitants per miles squared.

Step-by-step explanation:

Population density:

Number of habitants divided by land area.

In 2010 the population of India was 1,231,000,000. By 2016, the population had increased by 7.5%.

This means that India's population in 2016 was given by:

1,231,000,000*1.075 = 1,323,325,000

The land area of India is 1, 269,000 miles squared:

1,323,325,000/1,269,000 = 1042.8 habitants per miles squared.

The population density of India in 2016 was of 1042.8 habitants per miles squared.

Answer:it is about 90-93 degrees and also it is a obtuse

Step-by-step explanation:

it is simple because it the other side to the right says 98 if you put it in it position it is alittle bigger so thats how i got my answer

Answer:

∠ ABC = 62°

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc AC

AC = 360° - (138 + 98)° = 360° - 236° = 124° , then

∠ ABC = [tex]\frac{1}{2}[/tex] × 124° = 62°

Answer:

c

Step-by-step explanation:

Answer:

16/9.

Step-by-step explanation:

I am assuming you mean tan^2 theta.

The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.

The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.

The tangent is negative in Q 4

So tan theta = -4/3.

tan^2 theta = 16/9.

Answer:

infinitely many solutions

Step-by-step explanation:

solve  by substitution:

solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x

Substitute - 7 + 4x into the second equation to obtain:

3(-7 + 4x) - 12x = -21, which yields:

-21 + 12x - 12x = -21, which simplifies 0 = 0

a result of 0 = 0 means infinite solutions such as:

(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....

Answer:

infinite soulutions

Step-by-step explanation:

i just did it and it was right on ed2021...

Answer:

y = 1

Step-by-step explanation:

since its a horizantal line

if u take any 2 points and find the slope, for example if we take points (1, 1) and (4, 1) the slope will be 0/3 which is zero

y = 0x + b

so there is basically no x in this case

so y = b

now plug in a point from the line, (1, 1)

y = mx + b

y = 0x + b

1 = 0(1) + b

1 = 0 + b

1 = b

b = 1

final equation:

y = 0x + 1

Answer:

can we get the figure plz

Answer:

Hence the carnival game gives you better chance of winning.

Step-by-step explanation:

Let the event of win be given by 1/10 in the game of rifle then the event of loose is given by 9/10

the

Odds in favor of a game are given by  = P(Event)/ 1- P(Event)

Odds in favor of winning a rifle are given by = 1/10/ 1- 1/10

                                                                         =1/10/9/10

                                                                          =1/9

                                                                             = 0.111

The probability of winning aa rifle game is 0.111

The probability of winning the carnival game is 0.15

Comparing the two probabilities   0.111:0.15

The probability of  winning carnival game is greater than winning a rifle game

0.15>0.11

Hence the carnival game gives you better chance of winning.

Answer:

v = 2

Step-by-step explanation:

You can start by distributing -6:

7v - 20 = -6v + 6

To combine the like x terms, you can add 6v to both sides:

7v - 20 = -6v + 6

+6v          +6v

13v - 20 = 6

Now add 20 to both sides to isolate the x term:

13v - 20 = 6

      +20   +20

13v = 26

You can divide by 13 on both sides to find v,

13v = 26

÷13    ÷13

v = 2

Answer:

v= 2

Step 1: Simplify both sides of the equation.

7v−20=−6(v−1)  

7v+−20=−6v+6

7v−20=−6v+6

Step 2: Add 6v to both sides.

7v−20+6v=−6v+6+6v

13v−20=6

Step 3: Add 20 to both sides.

13v−20+20=6+20

13v=26

Step 4: Divide both sides by 13.

13v/13   = 26/13  

v=2

Step-by-step explanation:

24-12x,and 2(12-6x)

hope it helps

Answer:

the inverse for each relation:

1. [(4,2),(5,1),(6,0),(7,-1)} is

{(2,4),(1,5),(0,6),(-1,7)}

Answer:

The volume of the square prism is equal to the volume of the cylinder.

Step-by-step explanation:

As per the information depicted the volume of the square prism is equal all to the volume of the cylinder. Hence option C is correct.

A square prism is thee dimensional cuboid with a base and the top has an equal square while the remaining four faces have a rectangle and the opposite side angles of the square prism are congruent and parallel to each other.

As a square prism have the least two lengths that are equal to each other. Hence the volume of the square prism is equal to the volume of the cylinder as they have the same height and area of cross-section.

Find out more information about the square prism.

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Answer:

[tex]-6x^{3} + 322-7x - \frac{b}{x}[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

Tessa is correct. They have enough money.

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