divide the complex numbers

Divide The Complex Numbers

Answers

Answer 1

Answer:

1/4 - 1/3i

Step-by-step explanation:

(4+3i)(-i) / 12i(-i)

= 3 - 4i / 12


Related Questions

Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.

Answers

Answer:b

Step-by-step explanation:

Need help with 7+2=16-?

Answers

Answer:

no 7+2 is 9 so yeah ;)))))))))))))))

coefficient of x²and x in 3x-2x+1​

Answers

If it is ....

[tex]3 {x}^{2} - 2x + 1 = [/tex]

The coefficient of is (( 3 ))

& the coefficient of x is (( -2 ))

_________________________________

If it is .....

[tex]3x - 2x + 1[/tex]

[tex]x + 1[/tex]

The coefficient of is (( zero 0 ))

& the coefficient of x is (( 1 ))

George rented a bike to tour a nearby park. The charge to rent the bike is a flat rate of $10.75 plus $4.50 per each hour that he spends riding the bike. How much did George pay if he was riding for 3 1 fourth hours?

Answers

Answer: $25.38

Step-by-step explanation:  PLEASE GIVE BRAINLIEST IT HELPS ALOT

Which one doesn't belong? Give me two reasons why. There are no wrong answers. please answer. Picture posted​

Answers

5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.

20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator

Sharel decided to buy a charm bracelet for her mother. She buys 10 charms for the bracelet. How many arrangements of charms are there?

Answers

Answer:

3,628,800 arrangements

Step-by-step explanation:

Permutation has to do with arrangement.

The number of ways to arrange n objects is expressed as:

n! = n(n-1)(n-2).... (n-r)!

If Sharel buys 10 charms for the bracelet, the number of ways the charms can be arranged is  10! ways

10! = 10*9*8*7*6*5*4*3*2*1

10! = 720*840*6

10! = 3,628,800 arrangements

Hence there are 3,628,800 arrangements of charms

x - 4x + 2 = -X- 2x + 3
Plz help

Answers

The question is wrong bro.

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$(blank) thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Complete question :

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Bachelors = $53000

Masters = $65000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = b

Salary of Master's degree holder = 2b - 41000

Master's + bachelor's salary = $118,000

Hence,

2b - 41000 + b = 118,000

3b = 118000 + 41000

3b = 159000

b = 159000 / 3

b = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2b - 41000

2(53000) - 41000 = 65000

Name the coefficient, base and power for each
c) 21tr
Coefficient:
a) 4x3
b)-w5
base:
power:

Answers

3 is your coefficient

ryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answers

Answer:

Probability = 0.943

Step-by-step explanation:

15.6% = 0.156(probability of handwritten records with missing data)

X = random variable denoting number of handwritten records whose data are missing

Values of x = 0,1...10

Using the binomial distribution

X~binomial (10,0.156)

P(x<=3)

P(x= 0)+p(x=1)+...+p(x=3)

10C0(0.156)⁰(1-0.156)¹⁰+10C1(0.156)¹(1-0.156)⁹+10C2(0.156)²(1-0.156)⁸+10C3(0.156)³(1-0.156)⁷

This gives a probability of 0.943.

13. Find the slope of the line that contains (3, 1) and (1, 1).

Answers

Answer:

slope would be zero

Step-by-step explanation:

It is not moving on the graph

Hope this helps!

Alex brought in 6 bottles of apple juice to share with himself and 3 friends at lunch. There are 3.5 liters of juice in each bottle.

If they combine all of the juice together, how much apple juice does each person get to drink?





If they share the apple juice equally among the 4 of them, how much apple juice does each person get to drink?

Answers

Answer:

5.25 litres.

Step-by-step explanation:

6 bottles * 3.5 litres = 21 litres of juice total.

21 / 4 = 5.25 litres per person.

a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers​

Answers

9514 1404 393

Answer:

√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949

Step-by-step explanation:

Let x represent the smaller number. Then the sum of squares is ...

  x² +(x+2)² = 14

  2x² +4x +4 = 14 . . . eliminate parentheses

  2x² +4x -10 = 0 . . . put in standard form

  x² +2x -5 = 0 . . . . . divide by 2 (because we can)

  (x +1)² -6 = 0 . . . . . complete the square

  x +1 = √6  . . .   we want the positive root

  x = -1 +√6

  x+2 = 1 +√6

The numbers are √6±1.

A book shop offers a 24% discount on books.
Sam has to pay $______????
if he purchases books with an original price of $84.

Answers

Answer:

$63.84

Step-by-step explanation:

If Sam purchases an $84 book with 24% off, he pays $63.84. This is because first you want to find what percent of the book Sam has to pay for. Because it is 24% off, Sam has to pay for 76% of the book (100-24). Then, convert 76% to a decimal (.76) by moving the decimal to the left two digits. Lastly, multiply 84 by .76.

A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if: only men(3 Points)

Answers

Answer:

There are six possible committees if only men are chosen

Step-by-step explanation:

Here, we want to find the number of possible committees if only men are chosen

In this case, what will happen is that we shall be selecting the 5 people from the available 6 men

Mathematically, we can have this in 6C5 ways

which is read as 6 combination 5 ways

And that will be 6 ways

So there are six possible committees if only men are selected

y=1.1x + 7 In the above equation, what would changing the 7 into a 3 do?

Answers

Answer: The y intercept would be different

Step-by-step explanation:

Tessa measured an apartment and made a scale drawing. She used the scale 7 millimeters = 3 meters. What is the scale factor of the drawing? Simplify your answer and write it as a ratio, using a colon.

Answers

Answer:

7mm : 3000 mm ; 1 : 428 4/7

Step-by-step explanation:

Given that :

Given a drawing produced using a scale :

7 millimeters = 3 meters ; the scale factor for the drawing

Comparing units in millimeter and units on meter

1000 mm = 1 meter

Hence,

3000 mm = 3 meter

Then, we can say;

7 millimeters = 3000 millimeters

7mm : 3000 mm

Divide through by 7

1 : 428 4/7

help help help help help

Answers

The answer is right there

Simplify 2^4x2^3/2^5x2^4

Answers

Answer: 2^6

Step-by-step explanation: 2^4 x 2^3 is simplified to 2^7, 2^7/2^5 is 2^2, 2^2 x 2^4 is simplified to 2^6

What are the values of x and y if this equation is true? 22(x+yi)+(28+4i)+72-62i

Answers

Answer: x=2 and y=-3

Step-by-step explanation: you’re welcome

solve 7x/3 is less than 2

Answers

Answer:

x<6/7

Step-by-step explanation:

7x/3 < 2

Multiply both sides by 3,

7x < 6

Divide both sides by 7,

x < 6/7

Answer:

x>6/7

Step-by-step explanation:

7x/3>2

Find x.... Figure is not drawn to scale.

Answers

Answer:

70m

Step-by-step explanation:

The ratio from 25 and 50 is 1/2 so 35x2 is 70m. This is equivalent to the given ratio.

I need to do this assignment but I need help on how to draw it and answer the questions because I am confused on how to do these things. Thank you

Answers

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

where

is the change in the y-coordinate

is the change in the x-coordinate

For the initial climb (pink line), we have:

Therefore, the slope in this part is

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

3)

Again, to calculate the slope of the hill, we use:

where

is the change in the y-coordinate

is the change in the x-coordinate

For the green hill, we have:

So the rate of change is

4)

As before, the rate of change of the hill is

For the blue hill, we have:

So the rate of change is

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

For the blue hill:

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

can someone plaese help me

Answers

with what??
i don’t see nothing

A family of four bought a vacafion
package for $4,000. If the tax rate
is 10% how much will they payin
faxes?​

Answers

355 but i could be wrong

The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative

change in this situation. Round your answer to the nearest hundredth.


Absolute change=


Relative change=

Answers

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

find the slope and y-intercept of the line
y = -4x-5​

Answers

Answer:

The slope is -4

The y-int is -5

Step-by-step explanation:

The slope intercept form is structured as:

y= mx + b

Being m is the slope and b is the y-intercept.

Question 1. Write a function called simulate that generates exactly one simulated value of your test statistic under the null hypothesis. It should take no arguments and simulate 50 area codes under the assumption that the result of each area is sampled from the range 200-999 inclusive with equal probability. Your function should return the number of times you saw the 781 area code in those 50 random spam calls.

Answers

Answer:

The function written in python is as follows:

import random

def simulate():

    count = 0

    for i in range(1,51):

         num = random.randint(200,1000)

         if num == 781:

              count = count + 1

    print(count)

Step-by-step explanation:

This line imports the random library

import random

This line defines the function

def simulate():

This line initializes count to 0

    count = 0

This line iterates from 1 to 50

    for i in range(1,51):

This line generates random number between 200 and 999

         num = random.randint(200,1000)

This line checks if random number is 781

         if num == 781:

If yes, the count variable is incremented by 1

              count = count + 1

This line prints the number of times 781 is generated

    print(count)

An urn contains nine blue balls and seven yellow balls. If three balls are selected randomly without being​ replaced, what is the probability that of the balls​ selected, one of them will be blue and two of them will be​ yellow?

Answers

Answer:

[tex]Probability = \frac{27}{80}[/tex]

Step-by-step explanation:

Given

[tex]Blue =9[/tex]

[tex]Yellow = 7[/tex]

Required

Determine the probability that one of the balls is blue while others is yellow

The order of selection may be any of these three:

Yellow, Yellow, Blue or Yellow, Blue, Yellow or Blue, Yellow, Yellow

Solving Yellow, Yellow, Blue

[tex]Probability = P(Y_1) * P(Y_2) * P(B)[/tex]

[tex]Probability = \frac{7}{16} * \frac{6}{15} * \frac{9}{14}[/tex]

[tex]Probability = \frac{1}{8} * \frac{1}{5} * \frac{9}{2}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Solving Yellow, Blue, Yellow

[tex]Probability = P(Y_1) * P(B) * P(Y_2)[/tex]

[tex]Probability = \frac{7}{16} * \frac{9}{15} * \frac{6}{14}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Solving Blue, Yellow, Yellow

[tex]Probability = P(B) *P(Y_1) * P(Y_2)[/tex]

[tex]Probability = \frac{9}{16} * \frac{7}{15} * \frac{6}{14}[/tex]

[tex]Probability = \frac{9}{80}[/tex]

Hence:

The required probability is:

[tex]Probability = \frac{9}{80} + \frac{9}{80} + \frac{9}{80}[/tex]

[tex]Probability = \frac{27}{80}[/tex]

When graphed on a number line, which of the following numbers would be farthest away from zero?

Answers

It’s infinite there’s no number that’s farther it’s keeps going
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