Which of the following is used to represent complex numbers?
A.
x2 + y
B
C.
bi + 2
D.
a + bi

Answers

Answer 1

Answer:  D) a+bi

Where both a and b are real numbers.

In your textbook, you might see [tex]a,b \in \mathbb{R}[/tex] to indicate that they are real numbers.

An example would be 7+13i, where a = 7 and b = 13.


Related Questions

8x + 4y= 12
2x+ y= 3

Answers

are you suppose to find x or y? or both?

which sentence describes is mistake pls answer?!?!?

Answers

Answer:

I think the answer is B

Step-by-step explanation:

he would need to factor 4x² in order to get his answer not just 4x

I need help .. ASAP .

Answers

Answer:

x = 12 degrees

Step-by-step explanation:

(9x-4)+(6x+4)=180                 Linear Pair Theorem

15x=180                                  Simplified

180/15 = x                               Division Property of Equality

x = 12 degrees                       Simplified

Hope this helped! ;)

10 POINTS
Find the area of each circle. Round to the nearest tenth.

Answers

Answer:

were ate circles I'm suppose to use

Step-by-step explanation:

where is the circles

Converting 14 in to centimeters

Answers

Answer:

35.56

Step-by-step explanation:

multiply the length value by 2.54

Answer:

35.56 cm.

Step-by-step explanation:

multiply the length value (the number) by 2.54

the estimated world population in 2011 was 7 x 10^9. Of the total population, 682 million of those people were left handed. Approximately what percentage of the world population is left handed according to the 2011 estimation

Answers

Answer:

9.74%

Step-by-step explanation:

Total population

7 × 10^9

Let handed population

682 000000

Percentage of left handed population

100%×682000000 / (7×10^9) =6.82×10^10/ (7 × 10^9) % =68.2/7 % = 9.74%

Answer:

9.7 %

Step-by-step explanation:

estimated world population in 2011 = 7x10⁹

left handed = 682,000,000

find:

Approximately what percentage of the world population is left handed according to the 2011 estimation

percentage = left handed population

                            total population

                    =       682,000,000  

                           7,000,000,000

                    =     0.682

                            7.0

                    =  9.7 %

Parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1) determine the measure of angle k

Answers

Answer:

Step-by-step explanation:

The sum of opposite angle and sides of a parallelogram is 180 . If a parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1), then <J + < M = 180

Substitute:

2 x +9+6x-1 = 180

collect like terms;

2x+6x+9-1 = 180

8x+8 = 180

8x = 180-8

8x = 172

x = 172/8

x = 21.8°

For the shape to be a quadrilateral, then the measure of angle k must 128 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

[tex]K = M[/tex] --- opposite angles of quadrilateral[tex]J + M= 180[/tex] --- adjacent angles of quadrilateral

[tex]J + M = 180[/tex] implies that:

[tex]2x + 9 + 6x -1 = 180[/tex]

Collect like terms

[tex]2x + 6x = 180 -9 +1[/tex]

[tex]8x = 172[/tex]

Divide both sides by 8

[tex]x = 21.5[/tex]

We have:

[tex]K = M[/tex]

This becomes

[tex]K = 6x -1[/tex]

Substitute 21.5 for x

[tex]K = 6\times 21.5 -1[/tex]

[tex]K = 129 -1[/tex]

Subtract 1 from 129

[tex]K = 128[/tex]

Hence, the measure of angle K must be 128 degrees

Read more about quadrilaterals at:

https://brainly.com/question/25696839

Archie is taking a course in probability theory. Discussion sessions with the class TA (teaching assistant) conflict with Archie's trips to the beach. Archie has to decide between attending TA sessions, which might help him do better in the probability course, and going to the beach.
Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B. After some thought, Archie decides to attend the TA sessions. Not all of his classmates share his decision; in fact, only 4 out of every 18 of his classmates attend discussion sessions with the TA. Compute the probability that Archie will receive a grade higher than a B in the course.

Answers

Answer:

The probability that Archie will receive a grade higher than a B in the course is 0.2164.

Step-by-step explanation:

We are given that Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B.

Let B = event that the student received a grade higher than B.

and T = event that the student discussion sessions with the TA.

So, P(B) = 0.11 and P(T) = [tex]\frac{4}{18}[/tex] = 0.22

Also, the probability that the students who did not attend TA sessions received a grade of B or below in the course = P(B'/T') = P(not B/not T) = 0.92

Now, we have to find the probability that Archie will receive a grade higher than a B in the course given he attended the discussion sessions with the TA = P(B/T)

As we know that the conditional probability formula is given by;

                           P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

Now, as it is given that P(not B/not T) = 0.92

So, [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{\text{P(not T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - \text{P(T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - 0.22}} =0.92[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})} =0.92\times 0.78[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})}[/tex] = 0.7176

Also, [tex]{\text{P}(\text{ B} \bigcup \text{ T})}= 1 - {\text{P}(\text{not B} \bigcap \text{not T})}[/tex]

[tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] = 1 - 0.7176 = 0.2824  

Now, the formula for [tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] is given by;

[tex]{\text{P}(\text{ B} \bigcup \text{ T})} = \text{P(B)} + \text{P(T)} - {\text{P}(\text{ B} \bigcap \text{ T})}[/tex]

0.2824 = 0.11 + 0.22 - [tex]\text{P(B} \bigcap \text{T})[/tex]

[tex]\text{P(B} \bigcap \text{T})[/tex] = 0.33 - 0.2824 = 0.0476

Now, the required probability P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

                                                         = [tex]\frac{0.0476}{0.22}[/tex] = 0.2164

Hence, the probability that Archie will receive a grade higher than a B in the course is 0.2164.

If y= 4.8 when x= 2.4, what is y when x = 2.05?

Answers

Answer:

4.1

Step-by-step explanation:

solve for x 5x-4_>12 and 12x+5<_-4

Answers

Answer:fgh

Step-by-step explanation:

Write the equation of the line that passes through the points (7,-6) and (0,2). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

[tex]y+6=\frac{-8}{7} (x-7)[/tex]

Step-by-step explanation:

To find the slope of the equation use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

So, [tex]\frac{-6-2}{7-0}[/tex] = [tex]\frac{-8}{7}[/tex]. Now we can use our slope and any of the two points to write in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex]. Using the point (7,-6), the formula will give [tex]y+6=\frac{-8}{7} (x-7)[/tex].

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8% tax. What is the difference in the amount Dave and Mel paid, including tax? Round your answer to the nearest cent.

Answers

Answer:  $5.40

Step-by-step explanation:

First we will find the tax amount for Dave by multiplying 8% by 15.

8% * 15 =  1.2  

Now add it to the original price of the baseball which is 15.

15 + 1.2= 16.20  This means Dave paid $16.20 in total.

Now find the tax amount for Mel.

20 * 8% = 1.6  

Add 1.6 to the original price which is $20.

1.6 + 20 = 21.60    

Mel also paid $21.60 in total.

To find the difference  we need to subtract the lowest amount from the highest amount.

21.60 - 16.20 = 5.40

51.7 is 400% of what number​

Answers

Answer:

51.7 / 4 = 12.925

Step-by-step explanation:

The length of a rectangle is (8x – 9) and the width is (2x + 3).
What is the perimeter of the rectangle?

Answers

Answer:

P = 20x - 12

Step-by-step explanation:

The Perimeter of a Rectangle is 2l + 2w, where l is the length and w is the width.

Now, let's substitute the given values.

2(8x - 9) + 2(2x + 3)

= 16x - 18 + 4x + 6

= 20x - 12                     <--- This is the answer

Hope this helps!

a diver jumps off a boat 3 meters above the water and descends to a depth of 18 meters below sea level how for is he from the top of the boat write an expression then solve​

Answers

Answer:

21

Step-by-step explanation

They jumped 3 meters above the water, jumped down 18, 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18, thats 15 away, the distance is 15, if I am worng (probably am) try 20, if not, Im retarted and dont trust me with this.

9514 1404 393

Answer:

  21 m

Step-by-step explanation:

The difference in height between +3 meters and -18 meters is ...

  3 -(-18) = 3 +18 = 21 . . . . meters

In an hour, the pastry-cook made of one order.
How many orders does he make in 3 hours?​

Answers

Answer:

3?

Step-by-step explanation:

It would be 3 since he took 1 hour in one order it would take another 3 hours to complete 3 other orders. Sorry if I'm wrong. :)

2x-y+7whenx= -5andy-2.

Answers

Answer:

-1

Step-by-step explanation:

2x-y+7

Let x = -5 and y = -2

2(-5) -(-2) +7

-10 +2 +7

-10 +9

-1

The sum of a number and 3 is 8

Answers

Answer:

5

Step-by-step explanation:

Select all pairs of vertical angles in the following image.

Answers

The vertical angles are:

4 & 2

1 & 3


The value of your house is rising by $17,125 per year. If it is worth $159,166 today, what will it be worth in three years?

Answers

Answer:

well I actully you do 17,125 times 3 and then you get your answer

Step-by-step explanation:

17,125 times 3

Answer:

210,541

Step-by-step explanation:

17125 x 3 = 51375

51375 + 159166 = 210541

The art club had an election to select a president. 80 out of the 100 members of the art club voted in the election. What percentage of the members voted?

Answers

Answer: 80% of the members voted

Suppose you are playing a game with two dice at a casino. If you roll double ones, you win $1, if you roll double twos, you win $2. This pattern continues, up to winning $6 for double sixes. If you roll anything besides doubles, you lose $1. What is the expected value of the game? Can you expect to win money by playing this game over and over again?

Answers

Answer:

yes you cam win money form playing this game but you can also lose money.

Step-by-step explanation:

at a local zoo, adult visitors pay $3 and children visitors pay $1. on one day, the zoo collected a total of $720. if the zoo had 420 visitors that day, how many adults and how many children visited?

Answers

Answer:

150 adults and 270 children

Step-by-step explanation:

Let there are x adults and y children.

ATQ,

x+y=420

or

y=420-x ....(1)

Adult visitors pay $3 and children visitors pay $1. on one day, the zoo collected a total of $720.

ATQ,

3x+y=720...(2)

Put equation (1) in equation (2).

3x+420-x=720

2x=720-420

2x=300

⇒x=150

Put the value of x in equation (1)

y=420-150

⇒y=270

So, there are 150 adults and 270 children visited.

If a quadratic function has the rule
f(x) = (x – h)? + k,

what will cause a horizontal translation?
A, changing the value of h
B, changing the value of k​

Answers

A. changing the value of h

A. Changing the value of h will cause horizontal translation.

What is transformation ?

Transformations are of many types like translation, rotation, reflection and dilation.These transformations are of two types rigid transformation where the shape and size of image and pre image remains same and another one is non-rigid transformation in which size changes but shape of doesn't change.

We know that a quadratic function can be represented by a 2D co ordinate which has x axis and y axis.

Given a function f(X) = ( x - h) + k will cause horizontal transformation of h units to the left.

learn more about transformation here :

https://brainly.com/question/11709244

#SPJ2

what is 8.341 x 10 to the 5th power​

Answers

Answer:

834100

Step-by-step explanation:

1. Move the decimal FIVE times to the right

8.341 ----> 834100.

2. Solution

834100

IF f(x) 3x+5 and g(x) 2x+1 which statement is true

Answers

The first one
f(2)>g(1)

What is answer to 3 divided by eleven twelveths

Answers

Answer:

Step-by-step explanation:

The answer is 3.27

Scientists sprayed a cold virus in the noses of 153 people. After five days, 135 people became infected with the cold virus. What percentage of the people became infected? Round to the nearest percent.
PLS I NEED HELP II WILL MARK BRAINLIST Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A48%
B92%
C88%
D73%

Answers

Answer:

88% of people were infected by the cold virus

Step-by-step explanation:

153/135 multiplied by 100 will give the answer to be 88.235%. round to nearest percent is 88%

I don’t understand this .

Answers

Answer:

C

Step-by-step explanation:

Solve for y
5/8y = -1

Answers

Answer:

y = -8/5

Step-by-step explanation:

Step 1: Write equation

5/8y = -1

Step 2: Solve for y

Divide both sides by 5/8: y = -8/5

Step 3: Check

Plug in y to verify it's a solution.

Substitute: 5/8(-8/5) = -1Multiply: -40/40 = -1Divide: -1 = -1
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