Graph the complex numbers in the complex plane

Graph The Complex Numbers In The Complex Plane

Answers

Answer 1

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The imaginary value is plotted on the vertical axis in the same way that the y-coordinate would be for an ordered pair (x, y). Similarly, the real value is plotted on the horizontal axis.

__

I find it helpful to think of the complex number a+bi as equivalent to the ordered pair (x, y) = (a, b) when it comes to graphing.

Graph The Complex Numbers In The Complex Plane

Related Questions

[63-(-3) (-2-8-3}] = 3{5+(-2) (-1)}​

Answers

63-(-3)(-2-8-3) = 3(5+(-2)(-1))

63-(6+24+9) = 3(5+(2))

63-(39) = 3(7)

24 ≠ 21

Answered by Gauthmath must click thanks and mark brainliest

(7 points) for the given diagram, it is known that e is the midpoint of ad and bc. use this information to prove that triangle aec= triangle deb. each congruence or ewuality and statement must be accompanied by a reason
PLS HELP

Answers

Given:

E is the midpoint of AD and BC.

To prove:

[tex]\Delta AEC\cong DEB[/tex]

Proof:

Statement                                                    Reason

1. E is the midpoint of AD and BC            1. Given

2. [tex]AE\cong DE[/tex]                                              2. Definition of midpoint

3. [tex]CE\cong BE[/tex]                                              3. Definition of midpoint

4. [tex]\angle AEC\cong \angle DEB[/tex]                                    4. Vertically opposite angle

5. [tex]\triangle AEC\cong \triangle DEB[/tex]                                   5. SAS congruence postulate

Hence proved.

A student determines the density of a chunk of metal to be 5.1 g/cm3. She then repeats the measurement four more times on the same chunk of metal and obtains values of 5.0, 4.9, 5.4, and 5.2 g/cm3 for the density. What is the standard deviation of the five measurements?
A. 0.148
B. 0.19
C. 0.037
D. 0.22
E. 0.17

Answers

Answer:

E. 0.17

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values, so:

[tex]\overline{x} = \frac{5.1 + 5 + 4.9 + 5.4 + 5.2}{5} = 5.12[/tex]

Standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by the sample size, so:

[tex]s = \sqrt{\frac{(5.1-5.12)^2 + (5-5.12)^2 + (4.9-5.12)^2 + (5.4-5.12)^2 + (5.2-5.12)^2}{5}} = 0.172[/tex]

Thus the correct answer is given by option E.

An electronic switching device occasionally malfunctions, but the device is considered satisfactory if it makes, on average, no more than 0.20 error per hour. A particular 5-hour period is chosen for testing the device. If no more than 1 error occurs during the time period, the device will be considered satisfactory.
(a) What is the probability that a satisfactory device will be considered unsatisfactory on the basis of the test? Assume a Poisson process.
(b) What is the probability that a device will be accepted as satisfactory when, in fact, the mean number of errors is 0.25? Again, assume a Poisson process.

Answers

Solution :

It is given that the device works satisfactorily if it makes an average of no more than [tex]0.2[/tex] errors per hour.

The number of errors thus follows the Poisson distribution.

It is given that in [tex]5[/tex] hours test period, the number of the errors follows is

= [tex]0.2 \times 5[/tex]

= 1 error

Let X = the number of the errors in the [tex]5[/tex] hours

[tex]$X \sim \text{Poisson } (\lambda = 0.2 \times 5 =1)$[/tex]

Now that we want to find the [tex]\text{probability}[/tex] that a [tex]\text{satisfactory device}[/tex] will be misdiagnosed as "[tex]\text{unsatisfactory}[/tex]" on the basis of this test. We know that device will be unsatisfactory if it makes more than [tex]1[/tex] error in the test. So we will determine probability that X is greater than [tex]1[/tex] to get required answer.

So the required probability is :

[tex]P(X>1)[/tex]

[tex]$=1-P(X \leq 1)$[/tex]

[tex]$=1-[P(X=0)+P(X=1)]$[/tex]

[tex]$=1- \left( \frac{e^{-1} 1^0}{0!} + \frac{e^{-1} 1^0}{1!} \right) $[/tex]

[tex]$=1-(2 \times e^{-1})$[/tex]

[tex]$=1-( 2 \times 0.367879)$[/tex]

[tex]$=1-0.735759$[/tex]

[tex]=0.264241[/tex]

So the [tex]\text{probability}[/tex] that the [tex]\text{satisfactory device}[/tex] will be misdiagnosed as "[tex]\text{unsatisfactory}[/tex]" on the basis of the test whose result is 0.264241

What are the degree and leading coefficient of the polynomial?
- 3v² - 2v^3+ 6-8v

Answers

9514 1404 393

Answer:

degree: 3leading coefficient: -2

Step-by-step explanation:

The highest degree term is -2v^3. Its degree is 3, so the degree of the polynomial is 3. Its coefficient is -2, so the leading coefficient is -2.

please help me out asap:)

Answers

Based on the information, the triangles share two sides but have one different side. one included angle is bigger than the other.

This means that the triangle with side 2x-4 must be smaller than the triangle with the side 10.

Let first, find it minimum amount. A triangle side must be greater than zero so

[tex]2x - 4 > 0[/tex]

[tex]2x > 4[/tex]

[tex]x > 2[/tex]

The triangle side must be smaller than 10.

[tex]2x - 4 < 10[/tex]

[tex]2x < 14[/tex]

[tex]x < 7[/tex]

So x must be greater than 2 but must be smaller than 7.

g A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances

Answers

Complete Question

A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of plates blister under such circumstances?

A) State H_0 and H_a, (5 pts)

B) Test the hypothesis using the P-Value approach at a significance level of 4%: (15 pts)

Expert Answer

Answer:

a)[tex]H_0:p=0.10[/tex]

  [tex]H_a:p>0.10[/tex]

b) We fail to reject Null hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size n=100

No. with blistered x=11

a)

Generally the Hypothesis given as

[tex]H_0:p=0.10[/tex]

[tex]H_a:p>0.10[/tex]

b)

Since p=0.10

Therefore

[tex]p'=\frac{11}{100}[/tex]

[tex]p'=0.11[/tex]

Test statistics

[tex]Z=\frac{p'-p}{\sqrt{p(1-p)}}[/tex]

[tex]Z=\frac{0.11-0.10}{\sqrt{0.10*0.90/100}}[/tex]

[tex]Z=1.33[/tex]

From table

[tex]P-Value =0.092[/tex]

Therefore

P-value >0.04 significance level

Hence,We cannot conclude that at [tex]4\%[/tex] significance level the proportion is greater than [tex]10\%[/tex]

We fail to reject Null hypothesis

write your answer in simplest radical form​

Answers

Answer:

a = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{a}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

a = 4[tex]\sqrt{3}[/tex]

anyone know the answers for the final exam for part one of algebra 2 on edg?

Answers

Answer:

just show the questions i will help

Step-by-step explanation:

I need help answering this ASAP

Answers

Answer:

"D"

if you multiply by Conjugate

the denominator would end up A^2 - b^2

the answer has 25 - 10x

that is D

Step-by-step explanation:


HURRY! HELP PLS
Janelle is conducting an experiment to determine whether a new medication is effective in reducing sneezing she finds 1000 volunteers with sneezing issues and divides them into two groups the control group does not receive any medication the treatment group received the medication the patients in the treatment group show reduced signs of sneezing what can genetic include from this experiment?

Answers

Answer: You can conclude that the medication is effective and decreases sneezing

Janelle can conclude that the medication used in this experiment was effective and it decreases sneezing.

What is a control experiment?

A control experiment can be defined as a type of experiment in which a condition assumed to be a probable cause of an effect is compared with the same situation without involving or using the suspected condition.

What is a treatment group?

A treatment group refers to a group of participants in an experiment that are exposed to some manipulation in the independent variable such as an administration of medication to a particular group.

Thus, Janelle can conclude that the medication used in this experiment was effective and it decreases sneezing because the treatment group show reduced signs of sneezing.

Read more on an experiment here: https://brainly.com/question/17542127

Find the standard deviation for the following group of data items.
9, 11, 11, 16

Answers

The standard deviation for the given data items is 2.6

The standard deviation of the given data items can be calculated by taking the square root of the variance.

Variance is a measure of variability and it is calculated by taking the average of squared deviations from the mean.

Hence, we will first determine the mean of the given data items.

Mean is simply the average of the numbers.

Therefore mean of the given data items is

[tex]Mean = \frac{9+11+11+16}{4}[/tex]

[tex]Mean = \frac{47}{4}[/tex]

Mean = 11.75

Now, for the variance of the data

[tex]Variance = \frac{(9-11.75)^{2}+(11-11.75)^{2}+(11-11.75)^{2}+(16-11.75)^{2} }{4}[/tex]

[tex]Variance = \frac{(-2.75)^{2}+(-0.75)^{2}+(-0.75)^{2}+(4.25)^{2} }{4}[/tex]

[tex]Variance = \frac{7.5625+0.5625+0.5625+18.0625}{4}[/tex]

[tex]Variance = \frac{26.75}{4}\\[/tex]

∴ Variance = 6.6875

But,

Standard deviation [tex]= \sqrt{Varinace}[/tex]

∴Standard deviation  [tex]=\sqrt{6.6875}[/tex]

Standard deviation = 2.586

Standard deviation ≅ 2.6

Hence, the standard deviation for the given data items is 2.6

Learn more on standard deviation here: https://brainly.com/question/18562832

Laura makes a sound that 80.9 dB loud. Sarah makes a sound that is 3 time as intense. What is the loudness of Sarah's sound (in dB)

Answers

Answer:

242.7 dB

Step-by-step explanation:

Bạn được một cá nhân thuê làm tư vấn tài chính, anh ta nhận được 2 đề nghị hợp ký đồng làm
việc với thời hạn 5 năm theo 2 sự lựa chọn sau:
- Lựa chọn 1: Lương 3 triệu/năm
- Lựa chọn 2: Lương 1.5 triệu/năm và được thưởng 9 triệu khi kết thúc hợp đồng làm việc.
a. Nếu lãi suất 8% bạn sẽ khuyên anh ta nhận lựa chọn nào?
b. Nếu lãi suất tăng 10% theo bạn có cần phải đổi lựa chọn không?

Answers

I don’t know the language

Question 13 (Essay Worth 8 points)
Write the sum using summation notation, assuming the suggested pattern continues.

3, -12, 48, -192, + …

Is this sequence arithmetic or geometric? Explain your answer.

Answers

9514 1404 393

Answer:

  geometric sequence

Step-by-step explanation:

The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...

  an = 3(-4)^(n-1)

so the sum can be written as ...

  [tex]\displaystyle\sum_{n=0}^\infty3(-4)^n[/tex]

(Note the summation starts at n=0, corresponding to a first term of 3.)

Solve the problem,
289 chocolates are to be packed into boxes, each of which will contain 12
chocolates. How many boxes of chocolates will there be? How many chocolates will
be left over?

Answers

Answer:

24 boxes, 1 chocolate remaining

Step-by-step explanation:

289 chocolates total, each box is 12.

just divide it and whatever is left will be your remainder.

289/12 = 24 boxes, 1 chocolate remaining

sub to gauthmath sub reddit for more help like this !

Please help me to find this answer

Answers

Step-by-step explanation:

question 1

angle DBA=90°, meaning to find m<D you have to add 90+38 then subtract by 180, because ABD is a triangle

90+18+m<D=180

108+m<D=180

m<D=180-108

=72°

question 2

m<D again in this case angle ABD is also 90

m<D=180-(90+48)

=180-138

=42°

I hope this helps

SOMEONE HELP ME PLEASE

Answers

Answer:

9/25

Step-by-step explanation:

3 novels , 1 bio , 1 poetry = 5 books

P( novel) = novels / books

               = 3/5

Book is returned

3 novels , 1 bio , 1 poetry = 5 books

P( novel) = novels / books

               = 3/5

P(novel, return, novel) = 3/5 * 3/5 = 9/25

bionomial probabilities

Answers

Answer:

Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

Hope this will help you :)

The graph of the piecewise function f(x) is shown.
What is the range of f(x)?
6
5
O {x1-2 sx<4)
O {x1-2 Oy1-5 O {1-5 sys-1)
3+
2+
1
-7 -6 -5 -4 -3
-
1
3
4
5
8

Answers

The range is virtually the answer to the question,

"In which interval can find all y-values of the function".

So you look at the y-axis and see that your function begins with [tex]y=-5[/tex] (including -5 because of the dot on the graph) and ends at including [tex]y=-1[/tex].

So the interval notation is,

[tex]y\in[-5,-1][/tex]

But you are asked to specify the set notation of the interval, to do so first rewrite the interval using inequality operators, say we find some y in between (and including) -5 and -1,

[tex]-5\leq y\leq-1[/tex]

To specify that this is a set use curly bracelets and a bar,

[tex]\{y\mid-5\leq y\leq-1\}[/tex].

The y before bar is a step function and everything followed after the vertical bar is the range of the step function.

Hope this helps.

Using it's concept, it is found that the range of f(x) is given by:

{y|-5 <= -y <= -1}

What is the range of a function?

The range of a function is the set that contains all possible output values. In a graph, it is given by the values of y, that is, the values of the vertical axis.

In the function described by this graph, the vertical axis assumes values between -1 and -5, inclusive, hence the range is given by:

{y|-5 <= -y <= -1}

More can be learned about the range of a function at https://brainly.com/question/24374080

Use the distributive property to find the product of the rational number.
5/2 (- 8/5 + 7/5)

Answers

9514 1404 393

Answer:

  -1/2

Step-by-step explanation:

The factor outside parentheses multiplies each term inside.

  5/2(-8/5 +7/5)

  = (5/2)(-8/5) +(5/2)(7/5)

  = -8/2 +7/2 = -1/2

Find the missing ? Explanation need it

Answers

Answer:

37°

Step-by-step explanation:

that is the procedure above

o
37
Is your answer, Hope this helps

An 8 sided die, which may or may not be a fair die, has 4 colors on it; you have been tossing the die for an hour and have recorded the color rolled for each loss. What is the probability you will roll a purple on your next toss of the die? Enter your answer as a simplified fraction or a decimal rounded to four decimal places.
Red Purple Yellow Orange
44 37 41 21

Answers

Answer:

0.2587 = 25.87% probability you will roll a purple on your next toss of the die.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, which is the case in this question, the number of outcomes is taken from previous experiments.

In this question:

44 + 37 + 41 + 21 = 143 tosses.

37 purple.

What is the probability you will roll a purple on your next toss of the die?

[tex]p = \frac{37}{143} = 0.2587[/tex]

0.2587 = 25.87% probability you will roll a purple on your next toss of the die.

Quy tắc suy luận nào là cơ sở của suy diễn sau: "Biết rằng: 2 đường thẳng d và d' song song hoặc cắt nhau. Ta đã có d không song song với d'. Vậy d cắt d'
Select one:
a. Luật loại trừ
b. Luật rút gọn
c. Luật phản chứng
d. Luật tách rời

Answers

Answer: a

Step-by-step explanation:

Im new, and i hope someone tells me the right answers!

Answers

A factor is a natural number that can be multiplied by another natural number to get a value. The greatest common factor refers to when one compares the factors of two numbers, the largest natural number that both numbers have in common is the number's greatest common factor.

In the case of ([tex]m^2[/tex]) and ([tex]m^4[/tex]), the greatest common factor is ([tex]m^2[/tex]) because there are no factors of ([tex]m^2[/tex]) that are larger than it. No number can have a factor larger than itself. Since ([tex]m^2[/tex]) is also a factor of ([tex]m^4[/tex]) it is the greatest common factor of the two numbers.

The access code for a vault consists of four digits. The first digit
must be even and the last digit cannot be a zero. How many possible
codes are there?

Answers

Answer:

5 * 10 * 10 * 9 = 4500

Step-by-step explanation:

Answer:

4500

Explanation:

In photo ->

An empty freight train traveled 60 miles from an auto assembly plant to an oil refinery. There, its tank cars were filled with petroleum products, and it returned on the same route to the plant. The total travel time for the train was 4 1 2 hours. If the train traveled 20 mph slower with the tank cars full, how fast did the train travel in each direction

Answers

Answer:

On the way out the train traveled at about 40 mph, while on the return it did so at 20 mph.

Step-by-step explanation:

Since an empty freight train traveled 60 miles from an auto assembly plant to an oil refinery, and there, its tank cars were filled with petroleum products, and it returned on the same route to the plant, and the total travel time for the train was 4.5 hours, if the train traveled 20 mph slower with the tank cars full, to determine how fast did the train travel in each direction the following calculation must be performed:

60/20 = 3

60/40 = 1.5

60/20 = 3

3 + 1.5 = 4.5

Therefore, on the way out the train traveled at about 40 mph, while on the return it did so at 20 mph.

Use the discriminant to determine all values of k which would result in the graph of the equation
y
=
3
x
2
+
k
x
+
75
y=3x
2
+kx+75 being tangent to the x-axis.

Answers

Answer:

sauce is 177013

Step-by-step explanation:

write 6x10x10x10x10 with an expont

Answers

Answer:

6x10^4

Step-by-step explanation:

pls help

Drag each tile to the correct location on the inequality. Each tile can be used more than once.
Consider the graphed function.
y2
8
-6
H4
+2
-6
-4
-2
2
4
6
8
-2
-6
8
What are the domain and the range of this function?
-5
2021 Edmentum. All rights reserved.

Answers

The given graph is a line and he line is the distance between two points.  The required equation of the line is y = 0.5x + 5

Inequality graph

The given graph is a line and he line is the distance between two points. The equation of a line is represented as;

y = mx+ b

m is the slopeb is the intercept

Given the coordinate points (-5, 4) and (1, 7)

Get the slope

Slope = 7-4/1-(-5)

Slope = 3/6

Slope = 0.5

The intercept is 5 (the point where the line cuts the y-axis)

Determine the required equation

y = 0.5x + 5

Hence the required equation of the line is y = 0.5x + 5

Learn more on line here: https://brainly.com/question/18831322

#SPJ1

Other Questions
Put the steps In order in a data ,range is 17 and coefficient of range is 0.2 find the smallest term of the data. I will make brainelist to the best answer A car insurance company has determined that6% of all drivers were involved in a car accident last year. If14drivers are randomly selected, what is the probability of getting at most 3 who were involved in a car accidentlast year A researcher conducts an ANOVA analysis and reports no differences in average certification exam test scores for nurses identified as Baby Boomers, Millennials or Generation X. You would expect to see: What is the probability that you roll at least one 3 in your dice? Convert your answer todecimal form, then round to 3 decimal places, A power cycle receives QH by heat transfer from a hot reservoir at TH = 1200 K and rejects energy QC by heat transfer to a cold reservoir at TC = 400 K. For each of the following cases, determine whether the cycle operates reversibly, operates irreversibly, or is impossible.a.QH = 900 kJ, Wcycle= 450 kJ b. QH = 900 kJ, Qc = 300 kJ c. Weycle = 600 kJ, Qc= 400 kJ d. = 75% Electronic Wonders reports net income of $96,500. The accounting records reveal Depreciation Expense of $50,200 as well as increases in Prepaid Rent, Accounts Payable, and Income Tax Payable of $38,500, $23,900, and $20,400, respectively. Prepare the operating activities section of Electronic Wonders' statement of cash flows using the indirect method. (Amounts to be deducted and negative values should be indicated by minus sign.) Which __________, this kind of seminar or computer based training? A. do you prefer B. did you prefer C. have you preferred D. has you preferred Petty cash is disbursed by Manuela Luisina in the Cashier's Office. Manuela also maintains records of disbursements, places requests to the Finance Department to replace expended funds, and periodically reconciles the petty cash balance. This represents a(n) ________ segregation of duties. I need help to find m = Help!!! , is this all correct please help me ai gip mnh vs , thank you If p:q=3:4 and q:r=14:9, find p:r "Idaho Mining, Inc. borrows at prime plus 1.5% on its line of credit. The line requires a 15% compensating balance. If the prime rate is 9% and Idaho Mining plans on borrowing for a period of one year, what is the nominal APR of the line of credit?" In the early 1900s, engineers introduced the first_____. Think about the things we can do to protect the environment.? Help me fill in the blanks with the future tense of the verbs in parentheses to indicate what will happen??? 1. Yo ______ (conservar) el agua.2. Las nuevas qumicas no _____ (contaminar) el agua.3. Mi esposa _____ (cuidar) todos los animales en peligro de extincin.4. El gobierno ______ (hacer) mucho para promover la tecnologa verde.5. T _____ (proteger) los rboles.6. Nosotros _____ (poner) el plstico en el reciclaje. Es partidario de mantener los valores poltico social y marales tradicionales y se opone a reforma o cambio radicales en la sociedad Find the value of x and the value of y.A. x = 4, y = 8B.x=7, y=422C. X= 4/3, y= 7.2D. x= 73, y=412 Please help out explanation need it .