If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
2
4
9
10

Answers

Answer 1

Answer:

A: 2

Step-by-step explanation:

EDGE 2021

Answer 2

Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.

What is a complex number?

A complex number is modeled by:

z = a + bi.

In which:

a is the real part.b is the imaginary part.

In this problem, the number is:

x = 3 + bi.

It's magnitude is given by:

[tex]|x| = \sqrt{3^2 + b^2}[/tex]

Then:

[tex]\sqrt{3^2 + b^2} = \sqrt{13}[/tex]

[tex]3^2 + b^2 = 13[/tex]

[tex]b = \pm \sqrt{4}[/tex]

[tex]b = \pm 2[/tex]

A possible value of b is of 2.

More can be learned about complex numbers at https://brainly.com/question/25572463

#SPJ2


Related Questions

In a relation, the input values can also be referred to as the __________?

Answers

Answer: The answer for the blank is domain.

Step-by-step explanation: Domain is the input of a function, and range is the output.

What is 1 divided by 1/6

Answers

Answer:

6

Step-by-step explanation:

The answer will be (6) hope this helps!

The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.

Answers

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

Are these answers right

Look at pictures

Complementary angles

Answers

Answer:

1) correct

2) correct

3) incorrect, x = 11

4) incorrect, x = 50

Step-by-step explanation:

3) 90-35 = 5x

5x = 55

x = 11

4) 90-56 = (x-16)

x-16 = 34

x = 50

Answer:

Step-by-step explanation:

3) 5x +  35 = 90 {Complementary angles}

          5x = 90 - 35

          5x = 55

            x = 55/5

             x = 11

4) 56 +x - 16 = 90 {Complementary angles}

         x + 40 = 90

                x = 90 - 40

               x = 50

4w+2=2w+7

Please quick I dont have time!

Answers

That’s the answer for this problem

Answer:

W = 2.5 or 5/2

Step-by-step explanation:

It Equal to 2.5 or 5 by 2.

7. A recipe calls for 4 tbsp of sugar to 10 tbsp of baking powder. What is the
ratio in simplest form of the number of tbsp. of baking powder to the
number of tbsp. of sugar in this recipe?
A. 2 to 5
B. 2 to 3 C. 5 to 2 D. 3 to 1

8. which statement is true about proportion?
A. the product of the main is greater than the product of extremes
B. the product of the extremes is greater than the product of the means
C. the product of the means is equal to the product of the extremes
D. the product of the 1st ratio is equal to the product of the 2nd ratio​

Answers

Answer:

The correct answers are:

7) 2 to 5

8) the product of the means is equal to the product of the extremes (D)

Step-by-step explanation:

7) Number of tbsp of sugar = 4

Number of tbsp of baking powder = 10

∴ ratio of sugar to baking powder = 4 : 10

simplifying further by dividing through by 2

4 : 10 = 2 : 5

∴ ratio of sugar to baking powder = 2 to 5

8) A proportion is a statement that equates two rates or ratios.

For example:

[tex]\frac{a}{b} = \frac{c}{d}[/tex]

In this equation, the first and the fourth terms (a and d) are called extremes, while the second and third terms are called means.

Therefore, one rule of proportions is that the product of the extremes must equal the product of the means. This means that:

a × d (extremes) = b × c (means)

A company has 118 employees of whom x are members of a union. How many employees are not union​ members?

Answers

Im not sure if you just need an equation here or if you are not giving all the information... if you just need an equation then it should be: y=118-x

Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case one of them does not show up. From past experience, Christine knows that there is a 55% chance that Dave will not show up and a 45% chance that Mike will not show up. Dave and Mike do not know each other and their decisions can be assumed to be independent. a. What is the probability that both Dave and Mike will show up

Answers

Answer:

a) 26.79%, b) 50.42% and c) 22.79%

Step-by-step explanation:

a. What is the probability that both Dave and Mike will show up?

As decisions of showing up can be assumed to be independent, the probability will be given by

(1-0.53)(1-0.43)=(0.47)(0.57)=0.2679=26.79%

b. What is the probability that at least one of them will show up?

There are two possibilities for this to happen:

Dave shows up but Mike does not. The probability of Dave to show up is (1-0.53)=0.47 and the probability that Mike does not is 0.43. Then, as these events are independent, the probability for both of them to happen is (0.47)(0.43)=0.2021=20.21%

Mike shows up but Dave does not. The probability of Mike to show up is (1-0.43)=0.57 and the probability that Mike does not is 0.53. Then, as these events are independent, the probability for both of them to happen is (0.57)(0.53)=0.3021=30.21%

Therefore, the probability that at least one of them will show up? is 20.21%+30.21%=50.42%.

c. What is the probability that neither Dave nor Mike will show up?

As decisions of showing up can be assumed to be independent, the probability will be given by

(0.53)(0.43)=0.2279=22.79%

help me with this math

Answers

Answer:

=

Step-by-step explanation:

I hope this helps! :)

☁️☁️☁️☁️☁️☁️☁️☁️

At Wilson High School 34 girls participate in soccer, 39 girls participate in basketball, and 13 girls participate in both soccer and basketball. How many girls participate in either soccer or basketball?

Answers

Answer:

Hello ppcarrerasx3 I am going to be your personal instructor on brainly ty for choosing us for 5 star awnsers

The correct answer is will play

It is modified to show future aspect, but is still simple.

Step-by-step explanation:

Answer:

47 in soccer and 52 in basketball

Step-by-step explanation:

How many degrees would an angle that
is cut from 1o/3 a circle measure

Answers

120 degrees

Vvvdcfddfdvffv

Consider the graph below:
What is the equation of the line in slope-intercept form?



​​The equation of the line is

Answers

Answer:

y=-5/4x+5

Step-by-step explanation:

The line goes down 5 for every 4 to the right, and it crosses the y-axis at (0,5).

find the inequality represented by the graph please helpp ​

Answers

Answer:

y=3/4x

Step-by-step explanation:

What is the diameter of circle 0 if the radius is 4​

Answers

Answer:

8

Step-by-step explanation:

Answer:

The diameter would be 8

Step-by-step explanation:

The diameter of a circle is twice the radius.

4×2=8

I hope this helps

Looking for the answer to this

Answers

Required Answer :-

Given system of linear equations are ,

x + y = 2 -3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]

→ Multiplying equⁿ (i) by 3 ,

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

→ Adding the two equations ,

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

Hence the required solution is ( 0 , 2 ) .

Which of the following points lies on the graph of the function y = 4^x

(1,0)
(4,1)
(2,16)
(−1, 0.5)

Answers

Answer:

The answer is (2,16)

Step-by-step explanation:

graphing

A survey asks students if they would like to go to the beach, play volleyball, or swim. Students may choose more than one option. Explain the different categories that could result from the survey.

Answers

Answer:

go to the beach

play volleyball

swim

go to the beach and play volleyball

go to the beach and swim

play volleyball and swim

go to the beach and play volleyball and swim

Step-by-step explanation:

Answer:

go to the beach

play volleyball

or swim

Step-by-step explanation:

royal lawncare company produces and sells two packaged products

Answers

Royal Lawncare Company produces and sells two packaged products. Weedban and Greengrow. Revenue and cost information relating to the products follow: Product Weedban Greengrow Selling price per unit $ 11.00 $ 36.00 Variable expenses per unit $ 3.00 $ 14.00 Traceable fixed expenses per year $ 136.000 $ 31.000 Common fixed expenses in the company total $96.000 annually. Last year the company produced and sold 37.000 units of Weedban and 15.500 units of Greengrow. Required: Prepare a contribution format income statement segmented by product lines. Product Line Total Company Weedban Greengrow Sales Variable expenses Contribution margin Traceable fixed expenses Product line segment margin Common fixed expenses not traceable to products Net operating income

PLEASE HELP MEEEEEEEEEEEEEEEE

Answers

Answer:

C

Step-by-step explanation:

Basically just multiply every number by 2 for the new coordinates

Answer: C

Step-by-step explanation:

What is 56x92.2÷3?
Answer this fast for brainliest
Plz help

Answers

Answer:

1721.06666667

Step-by-step explanation:

Answer:

1795.73333333

Step-by-step explanation:

hope this helps

What is the relationship between CE and AD?
I’ll give brainly

Answers

It’s the second one because it can’t be half but it can be 1/4 and if you do the measurements you can tell it is the second one

help me figure this out

Answers

Answer:

Each number matches up below. The left side is x, and the right is y.

1 ⇒ 192

2 ⇒ 384

4 ⇒ 768

6 ⇒ 1152

10 ⇒ 1920

Step-by-step explanation:

We know in 1 serving, there is 192 calories. Following this, to find the calories for 2 servings, we multiply 192 by 2.

192*2 = 384

When we know the calories but not the serving, you divide the calories by 192

768/192 = 4

seven years ago beths son was one third her age at the time. seven years from now he will be one half her age. how old is beth's son

Answers

Easy
Anwer:
15 and 17
Step by step explanation:
34-7x=2y
-13 -13
(15,17)
I hope this helps have a good day

2. You have a bag containing 5 red markers, 6 green markers, and 4 blue markers. You reach Into the bag, select 1 marker, replace it, and then select another marker. What is the probability
that you selected a blue marker and then a green marker?
14.3%
10.7%
73.3%
83.3%

Answers

Answer:

10.7%

Step-by-step explanation:

possibility to get a blue marker : 4/15

possibility to get a green marker: 6/15

possibility to get a blue then a green: 24/225

= 10.666666%

= 10.7%

find the value of x ​

Answers

Answer:

50

Step-by-step explanation:

140- 40=100

100÷2=50

x=50

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 27% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let X denote the number among the four who have earthquake insurance.
(a) Find the probability distribution of X. [Hint: Let S denote a homeowner that has insurance and F one who does not. Then one possible outcome is SFSS, with probability (0.27)(0.73)(0.27)(0.27) and associated X value 3. There are 15 other outcomes.] (Round your answers to four decimal places.)
x 0 1 2 3 4
p(x) ___ __ __ __ __
(c) What is the most likely value for X?
(d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.)

Answers

Answer:

a)

P(X = 0) = 0.2840

P(X = 1) = 0.4201

P(X = 2) = 0.2331

P(X = 3) = 0.0575

P(X = 4) = 0.0053

c) The most likely value for X is 1.

d) 0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.

Step-by-step explanation:

For each homeowner, there are only two possible outcomes. Either they are insured against earthquake damage, or they are not. Homeowners are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

27% of all homeowners are insured against earthquake damage.

This means that [tex]p = 0.27[/tex]

Four homeowners are to be selected at random.

This means that [tex]n = 4[/tex]

(a) Find the probability distribution of X.

This is the probability of each outcome. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.27)^{0}.(0.73)^{4} = 0.2840[/tex]

[tex]P(X = 1) = C_{4,1}.(0.27)^{1}.(0.73)^{3} = 0.4201[/tex]

[tex]P(X = 2) = C_{4,2}.(0.27)^{2}.(0.73)^{2} = 0.2331[/tex]

[tex]P(X = 3) = C_{4,3}.(0.27)^{3}.(0.73)^{1} = 0.0575[/tex]

[tex]P(X = 4) = C_{4,4}.(0.27)^{4}.(0.73)^{0} = 0.0053[/tex]

So the probability distribution is

P(X = 0) = 0.2840

P(X = 1) = 0.4201

P(X = 2) = 0.2331

P(X = 3) = 0.0575

P(X = 4) = 0.0053

(c) What is the most likely value for X?

P(X = 1) has the highest probability, so X = 1 is the most likely value.

(d) What is the probability that at least two of the four selected have earthquake insurance?

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.2331 + 0.0575 + 0.0053 = 0.2959[/tex]

0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.

which expression is equivalent to 4(6x+11) A.68 B.68x C.24x+11 D.24x+44

Answers

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

[tex]\large\text{4(6x + 11)}[/tex]

[tex]\large\text{Distribute}[/tex]

[tex]\large\text{4(6x) + 4(11)}[/tex]

[tex]\large\text{4(6x) = 24x}[/tex]

[tex]\large\text{4(11) = 44}[/tex]

[tex]\large\text{= 24x + 44}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf{24x + 44}}}}\huge\checkmark[/tex] ☑️

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

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

ALGEBRA 1 PLS HELP ASAP

Answers

Its c , i just did the quiz myself and did this photomath

Find the median of 19, 29, 36, 15, and 20. Show all the steps that you took to find your answer.

Answers

Answer:

20

Step-by-step explanation:

to find the median we have to Arrangement it from lowest number to the bigger number

15 , 19 , 20 , 29 , 36

No we clean one of the right and on of the left

- , 19 , 20 , 29 , -

repeat step 2

- , - , 20 , - , -

so the median is 20

Over a 10-year period, Snow City had a snowfall of 478 inches. The snowfall during the past year was 56 inches. If the variable s stands for the total amount of snow for the other 9 years, which would be a reasonable value for s? A. 0.6 inches B. 420 inches C. 730 inches O D. 11 inches​

Answers

Answer:

b.

Step-by-step explanation:only reasonable answer if you are subtracting 56 and attempting to estimate to the closest value. my guess, not TOTAL aswer,

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