what is the tan invers of 3i/-1-i​

What Is The Tan Invers Of 3i/-1-i

Answers

Answer 1

z = 3i / (-1 - i )

z = 3i / (-1 - i ) × (-1 + i ) / (-1 + i )

z = (3i × (-1 + i )) / ((-1)² - i ²)

z = (-3i + 3i ²) / ((-1)² - i ²)

z = (-3 - 3i ) / (1 - (-1))

z = (-3 - 3i ) / 2

Note that this number lies in the third quadrant of the complex plane, where both Re(z) and Im(z) are negative. But arctan only returns angles between -π/2 and π/2. So we have

arg(z) = arctan((-3/2)/(-3/2)) - π

arg(z) = arctan(1) - π

arg(z) = π/4 - π

arg(z) = -3π/4

where I'm taking arg(z) to have a range of -π < arg(z) ≤ π.


Related Questions

8.9 x 10^3 in standard notation

Answers

Answer:

that is n standard notation mah frand

8.9 × 10^3 being scientific notation of " 8900 "

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{8.9}\times\large\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{= 10\times10\times10}\\\mathsf{= 100\times10}\\\mathsf{= \bf 1,000}\\\\\large\textsf{8.9}\times\large\textsf{1,000}\\\\\large\textsf{= \bf 8,900}\\\\\\\boxed{\boxed{\huge\text{Answer: \boxed{\underline{\underline{\bf 8,900}}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge\text{}\boxed{\frak{Amphitrite1040:)}}}[/tex]

Mr. Howe ate 1/3 of a pizza and then Mr. Kurt ate 1/8 of the same pizza. How
much of the pizza has been eaten? *

Answers

12/24

Step One: We need to convert 1/3 and 1/8 so both have the same denominator, so we need to find the a number that is able to be multiply by 3 and 8 for the process.

Step Two: 1/3 x 8= 8/24 and 1/8x3= 3/24

Step Three: Add our new fractions: 3/24+8/24= 12/24

Step Four: Subtract 12 by 24: 24-12= 12; our answer is 12/24 or half the pizza was eaten

I hope I've help!

solve for y. identify the slope and y-intercept. then graph the equation.

y=-3x+1

Answers

Answer:

the slope -3, slope meaning rate of change and y intercept is 1.

hope that answers your question

(used desmos to graph, good stuff!!!)

QUESTION 9
Convert 0.85 decimal to a fraction (do not reduce)

Answers

Answer:

85/100

Step-by-step explanation:

0.85 from a decimal is equal to 85/100 in fractions

Cyclically each of 3 tanks fires at one of the other 2 until only 1 is left. A hit destroys a tank. A has probability 1 of hitting its target, B has probability 0.8, and C has probability 0.5. What are the best strategies for each of the tanks and what are their survival probabilities

Answers

Answer:

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

Step-by-step explanation:

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

please help! x^3 +y^3=9

Answers

Step-by-step explanation:

Taking the derivative of both sides with respect to x, we get

[tex]\dfrac{d}{dx}(x^3 + y^3) = \dfrac{d}{dx}(3)[/tex]

[tex]\Rightarrow 3x^2 + 3y^2\dfrac{dy}{dx} = 0[/tex]

Solving for [tex]\frac{dy}{dx}[/tex], we get

[tex]\dfrac{dy}{dx} = -\dfrac{3x^2}{3y^2} = -\dfrac{x^2}{y^2}[/tex]

The median of a triangle divides it into two________.​

Answers

The median of a triangle divides it into two equal triangles of equal areas.

Must click thanks and mark brainliest

The blueprints of a house have a scale factor of 30. If one side of the house measures 4 inches on the blueprint, how long is the actual side length (in feet)?

A. 7.5 feet
B.10 feet
C. 90 feet
D. 120 feet

Answers


c. 90 feet is the actual length

If the scale factor is 30, then all you have to do is multiply each measurement by the scale factor. In this case, 4 · 30 = 120.

Which expressions are equivalent to 5 +(-3)(6x - 5) ?
Choose all answers that apply:
A 182 – 20
B 3.2 - 3
С None of the above

Answers

[tex]\\ \sf\longmapsto 5+(-3)(6x-5)[/tex]

[tex]\\ \sf\longmapsto 5-3(6x-5)[/tex]

[tex]\\ \sf\longmapsto 5-18x+15[/tex]

[tex]\\ \sf\longmapsto -18x+15+5[/tex]

[tex]\\ \sf \longmapsto -18x+20[/tex]

Option C is correct

None of the above

Answer:

18x + 20

Step-by-step explanation:

5 + (-3)(6x - 5)

Step 1. start by the parentheses (by multiplying (-3) by (6x - 5)

Answer: (-18x + 15)

Step 2. Add 5 to (-18x + 15)

Answer: (-18x + 20)

Thus, (-18x + 20) isn't a choice so None of the above

You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet. You intend to install baseboards around the entire perimeter of the room except for a 312-foot opening into the kitchen. How many linear feet of board must you purchase?

Answers

Answer:6348feet

Step-by-step explanation:

Find the remainder when f(x)= 8x^3+ 4x^2
13x + 3 is divided by 2x + 5.

Answers

Answer:

-129

Step-by-step explanation:

2x+5=0

x=-5/2 [By the remainder theorem]

f(-5/2)=8(-5/2)^3+4(-5/2)^2+13(-5/2)+3

=-125+25-65/2+3

=-129.

Answer the question you hopeless heathens


Monico recently hired a roofer to do some necessary work. On the final bill, Monico was charged a total of $605. The amount listed for parts was $285 and the rest of the bill was for labor. If the hourly rate for labor was $64, how many hours of labor was needed to complete the job?

(A) First write an equation you can use to answer this question. Use x as your variable. The equation is ___________________

(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was ________________

Answers

Answer:

A) 64x + 285 = 605

B) 5 hours

Step-by-step explanation:

64x + 285 = 605

64x + 285-285 = 605 - 285

64x = 320

64x/64 = 320/64

x = 5

Double check

($605 Total - $285 parts) / $64 Hourly rate = Labor per hour

$320 Labor / $64 Hour = 5 hours

or 64x

find the product of 3 and 1/2 and 1.6

Answers

Answer:

5.6

Step-by-step explanation:

3.5 x 1.6

It all depends on where the parentheses are in the question.

(3) · (1/2) · (1.6)  =  2.4

or

(3-1/2) · (1.6)  =  5.6

A plumber charges $65 for a diagnostic check. After the check, it is $85 per hour for the work. With $320 in your wallet, how many hours of Work can you afford?​

Answers

Answer:

3 hours

Step-by-step explanation:

first, you subtract 65 from 320 to cover the diagnostic check.

Then, you subtract 85 from the remaining cash three times and you'll get 0

pls help! I need the answer quickly! thank you!

Answers

Answer:

B) 36

BA=CD

BA=9

AREA OF TRIANGLE ABC=1/2×b×h

63=1/2×b×9

126=b×9

b=14

BC=14

AD=BC

AE+ED=BC

AE=BC-ED

AE=14-6

AE=8

AREA OF TRIANGLE ACE= 1/2×AE×CD

= 1/2×8×9

=36

f (-10) = ?
Evaluate piecewise functions

Answers

Answer:

f(- 10) = 150

Step-by-step explanation:

f(- 10) with t = - 10 corresponds to t ≤ - 10 with f(t) = t² - 5t , then

f(- 10) = (- 10)² - 5(- 10) = 100 + 50 = 150

for t=-10

f(t)=t²-5t

So

f(-10)

(-10)²-5(-10)100+50150

Question 1 plz show ALL STEPS

Answers

Answer:

1a= 10

Step-by-step explanation:

[tex]f(g(1) = 3( - 2(1) + 7) - 5[/tex]

[tex] = 3(5) - 5 [/tex]

[tex]15 - 5 = 10[/tex]

Answer:

Step-by-step explanation:

f(x) = 3x - 5

g(x) = - 2x + 7

(a). f(g(1)) = 10

g(1) = - 2(1) + 7 = 5

f(5) = 3(5) - 5 = 10

(b). f(g( - 4)) = 40

g( - 4) = - 2( - 4) + 7 = 15

f(15) = 3(15) - 5 = 40

(c). g(f( - 2)) = 29

f( - 2) = 3( - 2) - 5 = - 11

g( - 11) = - 2( - 11 ) + 7 = 29

(d). g(f(3)) = - 1

f(3) = 3(3) - 5 = 4

g(4) = - 2(4) + 7 = - 1

Exponents Properties Practice

Write an equation to model the situation and answer the question. Include units when applicable.

In a much happier economy, Mr. Demo earns 5% monthly interest on his savings. After a $300 withdrawal, he notices he has $2021 in his account. He has collected interest for 3 months. What amount did he start with?

Answers

we can use this equation to solve:

[tex]a = p(1 + \frac{r}{n} ) ^{nt} [/tex]

a = final amount

p = initial amount

r = percentage increment (in decimal form)

n = amount of time interest is compounded

t= time (in years)

Since the guy w withdrew $300 and saw that his account still has $2021 left, he must have had $2321 in total.

5% interest is .05 in decimal form

since the account is compounded monthly, n=12

Because the account has been collecting interest for 3 months and t is supposed to be in years, dividing 3 by 12 will yield 1/4, or . 25

Given the function h(t) = 2t to the power of 2 + 9 evaluate h(5)

Answers

9514 1404 393

Answer:

  59

Step-by-step explanation:

Put 5 where t is and do the arithmetic.

  [tex]h(t)=2t^2+9\\\\h(5)=2\cdot5^2+9=2\cdot25+9\\\\\boxed{h(5)=59}[/tex]

Geometry please help me!!!!

Answers

Answer:

Step-by-step explanation:

Dad is twice as old as Junior. Gramps is twice as old as Dad. The sum of the three ages is 140. How old is Gramps?​

Answers

Answer:

80

Step-by-step explanation:

We can start of with Junior's age. Then if dad is twice as old as Junior, then we add 2 parts and get 3 parts. Then Gramps is twice as old as Dad so we add 4 parts and get 7 parts. Now we divided 140 by 7. We get 20. This is Junior's age. By looking at that, we know Dad is 40, and Gramps is 80.

Gramps is 80 years old.

Hi! I'm happy to help!

We can say that Junior is x years old. This would mean that Dad is 2x years old, and Gramps is 4x years old. All together, their age is 7x. We can write an equation to solve.

7x=140

Divide both sides by 7 to find out x.

x=20

This means that Junior is 20 years old. Dad is double that, so he is 40 years old. And Gramps is double that so he is 80 years old.

To check our answer we can add all of them together.

20+40+80

140

This means that Gramps is 80 years old.

I hope this was helpful, keep learning! :D

Adding integers what is (-9)+5

Answers

Answer:

-9 + 5 = -4

I hope you understand and you don't need an explanation

The answer is -4, if you owe somebody 9 cents and give them 5 you still owe them 4

13% of a sample of 200 students do not like ice cream. What is the 95% confidence interval to describe the total percentage of students who do not like ice cream?

Answers

The 95% confidence interval is (8.3%,17.7%), and the correct option is C.

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

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

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

13% of a sample of 200 students do not like ice cream.

This means that [tex]\pi = 0.13, n = 200[/tex]

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

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

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

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 - 1.96\sqrt{\frac{0.13*0.87}{200}} = 0.083[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 + 1.96\sqrt{\frac{0.13*0.87}{200}} = 0.177[/tex]

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

As a percentage:

0.083x100% = 8.3%0.177x100% = 17.7%

Thus, the 95% confidence interval is (8.3%,17.7%), and the correct option is C.

A similar problem is given at https://brainly.com/question/22223066

How many degrees must the flyswatter pass through before it is horizontal?

Answers

Answer:

90°

Step-by-step explanation:

assuming it's upright and you swat it down it will go down by 90°

Circle A has an area of 500 in? The diameter of circle B is three times the diameter of circle A. Estimate the area of circle B. !I will give brainlest!​

Answers

Step-by-step explanation:

circle has an area of 500 inches if we multiply it by 3 we get 1500 inches

Add 5/20 + 1/20. Simplify your answer.

Answers

Answer:

3/10

Step-by-step explanation:

1) 5/20+1/20= 6/20

2) Both 6 and 20 lowest number on dividing: 2

6 divide by 2= 3     20 divide by 2= 10

5/20+1/20

= 5+1/20

= 6/20

= 3/10

What is the "least common denominator" of the following two fractions:

1/6 and 1/2

Answers

Answer:

it is 6

Step-by-step explanation:

2 and 6 are the denominators and the least common denominator is the number in which 2 & 6 can go in without leaving a remender and 6 is that number

Answer:

The LCD of the fractions 1/6 and 1/2 is 6

Step-by-step explanation:

The LCD of 2 or more fractions is the least common multiple of the denominators.

The given fractions are 1/2 and 1/6. The denominators are 2 and 6

List the multiples of each denominator:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, ..

The least common multiple that the two share is 6.

So the LCD of 1/2 and 1/6 is 6.

Is this a function graph

Answers

Answer:

No

Step-by-step explanation:

No, it's not a function as it fails the vertical line test

NEED HELP ASAP!!!! PLEASEEE

Answers

The first answer of the missing blank is 4/5.

The second answer of the missing blank is 2.

The third answer of the missing blank is 25.

*For all of these solutions, I will be using the common rules for logarithms.*

Solution for the first question:

Log9^4/5 must equal log9^4-log9^5, or it could also equal the more proper version, which is simplified: 2log9^2-log9^5.

Solution for the second question:

Log3^22 must equal log3^11+log3^2, if you break it down.

Solution for the third question:

Log9^25 must equal 2log9^5 because it will be like this when simplifying it:

log9^25=2log9^5

log9^5²=2log9^5

2log9^5=2log9^5

These are all of the step-by-step procedures for all three of these given questions. Anyways, I hope that this helped you!

convert 35 m/s to km/hr

Answers

Hello, there I hope you are having a great day :) Your question was to convert 35 m/s to km/hr the answer would be 126 km/ hr as you would times it by 3.6 to work out your answer.

Hopefully that helps you :)

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