Which addition expression has the sum 8 – 3i ? (9 2i) (1 – i) (9 4i) (–1 – 7i) (7 2i) (1 – i) (7 4i) (–1 – 7i)

Answers

Answer 1

Answer:

B- (9 + 4i) + (–1 – 7i)

Explanation:

:)

Answer 2

Considering the definition and sum of complex numbers, the sum (9 + 4i) + (–1 - 7i) gives as a result 8 -3i.

Complex numbers are combinations of real numbers and imaginary numbers.

In other words, complex numbers are numbers that have a real part and an imaginary part.

The most common representation of a complex number is the sum of a real part and an imaginary part. At the same time, the imaginary part is divided between the imaginary part and the imaginary unit:

z = a + bi

where

a is a real number. b is the imaginary part. i is the imaginary unit.

This expression is called the binomial form of the complex number z.

To add two or more complex numbers, you simply have to add the real and imaginary parts separately. That is, being z1 = a + bi and z2 = c + di, the sum of both complex numbers is calculated as:

z1 + z2 = (a + c) + (b + d) i

In this case, to obtain 8 -3i you have to sum:

(9 + 4i) + (–1 – 7i)= (9-1) + (4-7)i= 8 - 3i

So, the sum (9 + 4i) + (–1 - 7i) gives as a result 8 -3i.

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Related Questions

Give me a really good paragraph explaining what this means: "All happy families are alike; each unhappy family is unhappy in its own way."

Answers

All happy families are alike; each unhappy family is unhappy in its own way is that happiness is contagious that a happy family is one where parents and children work it out or help themselves as well as make themselves happy and the same goes with unhappy ones who have problems and do not help themselves.

Are all happy families alike?

All happy families are alike, but every unhappy family is unhappy in its own way  is known to be a famous quote that was given by Leo Tolstoy, Anna Karenina, in the year 1878.

Anna Karenina challenges us as people to be able to understand how we often overlook things that are right in front of us. Tolstoy constantly demonstrates to us the truth that we do not see the world; we simply overlook it.

He did re-educate us to see the world differently so that we can comprehend what is in front of our eyes and concealed from plain view.

Therefore, All happy families are alike; each unhappy family is unhappy in its own way is that happiness is contagious that a happy family is one where parents and children work it out or help themselves as well as make themselves happy and the same goes with unhappy ones who have problems and do not help themselves.

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The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 92 pounds. A random sample of 90 newly manufactured cables has a mean breaking strength of 1700 pounds. Based on this sample, find a 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place

Answers

Answer:

To find the 95% confidence interval for the true mean breaking strength of all cables produced by the manufacturer, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

First, let's calculate the standard error, which is the standard deviation divided by the square root of the sample size:

Standard Error = Standard Deviation / √(Sample Size)

= 92 / √(90)

≈ 9.685

Next, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is large (n > 30), we can use the z-table. The z-value for a 95% confidence level is approximately 1.96.

Now we can calculate the confidence interval:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

= 1700 ± (1.96 * 9.685)

Lower Limit = 1700 - (1.96 * 9.685)

≈ 1679.69

Upper Limit = 1700 + (1.96 * 9.685)

≈ 1720.31

Therefore, the 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer is approximately (1679.7, 1720.3). The lower limit is 1679.7 pounds, and the upper limit is 1720.3 pounds.

¿Qué realidades se ven representadas en la película? Anotalas para, en unos días, debatir en clase acerca de los problemas que se exponen.

Answers

If you write in english language maybe i can help you

What did Annamarie realize about her friend Ellen after peter’s visit?

Answers

In the book Number the Stars, following Peter's visit, Annemarie knows she must defend Ellen, and that she and the other Danes were supposed to be her protectors.

What is the central idea of Number the stars?

The challenge of growing up is the fundamental topic of Number the Stars. One may argue that Lowry emphasizes these challenges by setting them in the background of World War II.

Number the Stars was written by Lowry in 1988. She was inspired by a buddy who grew up in Denmark during the Nazi occupation of the nation during WWII. At the time, Jews were being arrested and subsequently massacred all throughout Europe by Germans.

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Which of the following is a function of a semicolon?

Joins two independent clauses
Separates hours and minutes
Follows a formal business greeting
Joins two incomplete sentences

Answers

Answer:

Joins two independent clauses

Explanation:

Answer:

Joins two independent clauses

Explanation:

I took the test and got it right

if f(x+1)=-1/2x+6, what is the value of f(-3)?

Answers

Answer:

8

Explanation:

which of the following is true about office friendships?

which of the following is true about office friendships?

Answers

Answer:

D. Office friendships lead to a workplace in which socializing rarely occurs.

in georgia who responsibile for making the laws of state

Answers

Answer:

their governor

Explanation:

hope this helps

Read the line from "an irish airman foresees his death." a waste of breath the years behind the meter, if any, from the line is

Answers

The line from an irish airman foresees his death is simply an example of iambic pentameter.

What is an iambic pentameter?

It should be noted that an iambic pentameter simply means the rhythm that the words establish in a line.

In this case, "a waste of breath the years behind the meter" is example of iambic pentameter. This is vital for the poem.

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Answer: Iambic Tetrameter

PLS HELP WILL GIVE BRAINLIEST Steve is whirling a rubber cork, tied with a string to his finger, over his head as shown in the figure. The motion of the cork is similar to the motion of a planet in the Solar System around the sun. Which force of the Solar System is similar to the tension of the string?

PLS HELP WILL GIVE BRAINLIEST Steve is whirling a rubber cork, tied with a string to his finger, over

Answers

Answer:

Gravitational

Explanation:

It's the sun's gravity that pulls the planets to keep them in that orbit just like the cork staying in place

What is the volume of a cube that is 20cm long when you flatten it out

Answers

The volume of a cube is equal to the length of all its sides cubed, which in this case is 20cm x 20cm x 20cm = 8000 cm^3. Therefore, the volume of a cube that is 20cm long when flattened out is 8000 cm^3.

What is volume?

Volume is the three-dimensional space occupied by an object or substance. It is typically measured in units such as cubic meters (m3), cubic centimeters (cm3), liters (L), or milliliters (mL). Volume is an important physical property of an object or substance, which can be used to determine the total amount of material present in an object or substance. Volume is also used to measure the capacity of a container, such as a tank, bottle, or bucket, and can also be used to measure the amount of liquid, gas, or solid contained within. Volume is an important concept in mathematics, and is used in the calculation of areas, perimeters, and volumes of geometric shapes. It can also be used to measure the rate at which a substance is flowing, such as in the calculation of fluid flow rates.

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A teacher tells her students that a large jar of marbles contains 55% red marbles. students randomly select a sample of 40 marbles and determined the proportion of red marbles. one sample a student selected contained 16 red marbles. assuming the teacher’s claim is true, 100 simulated proportions are displayed in the dotplot. using the dotplot and sample proportion, is there convincing evidence that the teacher’s claim is false? yes, because a proportion of 0.40 or more occurred 98 out of 100 times, the sample proportion of red marbles is statistically significant and there is convincing evidence that the teacher’s claim is false. yes, because a proportion of 0.40 or less occurred only 2 out of 100 times, the sample proportion of red marbles is statistically significant and there is convincing evidence that the teacher’s claim is false. no, because a proportion of 0.40 or more occurred 98 out of 100 times, the sample proportion of red marbles is not statistically significant and there is not convincing evidence that the teacher’s claim is false. no, because a proportion of 0.40 or less occurred 2 out of 100 times, the sample proportion of red marbles is not statistically significant and there is not convincing evidence that the teacher’s claim is false.

Answers

There is convincing evidence that the teacher's claim is false because:

"a proportion of 0.45 or more occurred 87 out of 100 times" (Option A).

Why is the Teacher's Claim False?

The teacher's claim is false because a percentage of 0.45 or more occurred 87 out of 100 times.

What this says is that the sample of red marbles is statistically significant.

Therefore, the teacher's claim that the large jar of marbles contains 55% red marble is false.

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Answer:

b

Explanation:

b

3a+45=52+2a find a.....​

Answers

Explanation:

\(\tt{ 3a+45=52+2a }\) ⠀

\(\tt{3a-2a=52-45 }\) ⠀

\(\tt{ a=7 }\) ⠀

\(\sf{ a=7}\)

Explanation:

3a+45=52+2a

2a-3a=45-52

-a=-7

a=7

What would win? A shark or a poisonous frog?

Answers

Answer:

Shark

Explanation:

A shark would just eat the frog.

This question said Poisonous meaning if it bit you.

if the frog was venomous then when the shark ate it the shark would die.

however you said poisonous, so the shark will win

his name can be carl

It is unlikely that a poisonous frog would win in a fight against a shark, as the two animals inhabit different environments and have vastly different physical abilities.

Sharks are large and powerful predators that are well adapted for life in the water. They have sharp teeth and powerful jaws that allow them to bite through tough prey, as well as a streamlined body shape that makes them fast and agile in the water. In contrast, poisonous frogs are small, terrestrial animals that rely on their bright coloration and toxic skin secretions to deter predators.

In a hypothetical scenario where a shark and a poisonous frog were somehow forced to fight, the shark would almost certainly have a significant physical advantage and would likely be able to overpower and kill the frog. However, it's important to note that such a scenario is highly unlikely and would never occur in the wild.

If the sun got bigger in size how may this affect food sources

Answers

Answer:

When sun gets big the surrounding planets like Mars, venus, and earth got to be destroy

what helps drivers retain steering control during emergency braking?

Answers

Answer:

Many newer cars come with ABS. What is that and what does it do? increase the distance required to stop the vehicle. The ABS will activate immediately, allowing you to retain full steering control during hard braking and on slippery surfaces.

Explanation:

:)

Answer:

anti lock brakes

Explanation:

1. X⁵-4x⁴-2x³-2x³+4x²+x=0
2. X³-6x²+11x-6=0
3. X⁴+4x³-3x²-14x=8
4. X⁴-2x³-2x²=0
Find the roots for these problem show your work​

Answers

So the roots of the original equation are:

x = 0, x = 1 + √3, x = 1 - √3

Let's solve each of these equations and find their roots.

x⁵ - 4x⁴ - 2x³ - 2x³ + 4x² + x = 0:

To factorize this equation, we can factor out an "x" term:

x(x⁴ - 4x³ - 4x² + 4x + 1) = 0

Now, we have two factors:

x = 0

To find the roots of the second factor, x⁴ - 4x³ - 4x² + 4x + 1 = 0, we can use numerical methods or approximation techniques.

Unfortunately, this equation does not have any simple or rational roots. The approximate solutions for this equation are:

x ≈ -1.2385

x ≈ -0.4516

x ≈ 0.2188

x ≈ 3.4714

x³ - 6x² + 11x - 6 = 0:

This equation can be factored using synthetic division or by guessing and checking.

One possible root of this equation is x = 1.

By performing synthetic division, we can obtain the following factorization:

(x - 1)(x² - 5x + 6) = 0

Now, we have two factors:

x - 1 = 0

x = 1

x² - 5x + 6 = 0

To find the roots of the quadratic equation x² - 5x + 6 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = -5, and c = 6.

Substituting these values into the quadratic formula, we get:

x = (5 ± √(25 - 24)) / 2

x = (5 ± √1) / 2

x = (5 ± 1) / 2

So the roots of the quadratic equation are:

x ≈ 2

x ≈ 3

Therefore, the roots of the original equation are:

x = 1, x ≈ 2, x ≈ 3

x⁴ + 4x³ - 3x² - 14x = 8:

To solve this equation, we need to move all the terms to one side to obtain a polynomial equation equal to zero:

x⁴ + 4x³ - 3x² - 14x - 8 = 0

Unfortunately, this equation does not have any simple or rational roots. We can use numerical methods or approximation techniques to find the roots.

Approximate solutions for this equation are:

x ≈ -2.5223

x ≈ -0.4328

x ≈ 1.6789

x ≈ 3.2760

x⁴ - 2x³ - 2x² = 0:

To solve this equation, we can factor out an "x²" term:

x²(x² - 2x - 2) = 0

Now, we have two factors:

x² = 0

x = 0

x² - 2x - 2 = 0

To find the roots of the quadratic equation x² - 2x - 2 = 0, we can again use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = -2, and c = -2. Substituting these values into the quadratic formula, we get:

x = (2 ± √(4 - 4(1)(-2))) / (2(1))

x = (2 ± √(4 + 8)) / 2

x = (2 ± √12) / 2

x = (2 ± 2√3) / 2

x = 1 ± √3

So the roots of the original equation are:

x = 0, x = 1 + √3, x = 1 - √3

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how many moles of alanine c3h7no2 are there in 159 g of alanine

Answers

Answer:

159 g of alanine correspond to 1.78 moles.

Explanation:

the distance d that a car can travel in a certain amount of time t can be found by multiplying the rate of speed r by the travel time. If a car has already traveled 4 miles, the formula for the total distance traveled is d=rt+4. Which of the following gives the value of r, in terms of d and t

Answers

Answer:

r=d-4/t

Explanation:

write the infinitives for sentences without infinitive right none: Ringo the cat likes to nap indoors every morning​

Answers

There is already an infinitive in the sentence: "to nap". The infinitive in this sentence is "to nap".

Define infinitive.

An infinitive is a grammatical term used to describe the basic or root form of a verb. In English, infinitives are usually preceded by the word "to," such as in "to walk," "to eat," "to sing," etc. Infinitives can be used as a noun, adjectives, or adverbs in a sentence, and they can function as the subject, object, complement, or modifiers of a sentence.

The infinitive is a grammatical term that refers to the basic form of a verb, usually preceded by the word "to." In the sentence "Ringo the cat likes to nap indoors every morning," the infinitive is "to nap, "It is the verb's basic form when the preposition "to" is added. The infinitive in this sentence is used to express the action that Ringo the cat enjoys doing, which is taking a nap indoors every morning.

Therefore, "To nap" serves as the sentence's infinitive.

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A pentagon $abcde$ is translated north by 40 units to pentagon $a_1 b_1 c_1 d_1 e_1. $ pentagon $a_1 b_1 c_1 d_1 e_1$ is then translated east by 50 units to pentagon $a_2 b_2 c_2 d_2 e_2. $ we know the perimeter of pentagon $abcde$ is 30 units. Find $cc_2. $

Answers

Answer:

64.03

Explanation:

Since the pentagon is translated 40 units north and 50 units east, we can look at c, c1 and c2 as a right triangle.
cc1 = 40

c1c2 = 50

By pythagoras theorem,

cc2² = cc1² + c1c2²

⇒ cc2 = √cc1² + c1c2²

cc2 =

\(\sqrt{40^{2} + 50^{2} } \\\\\sqrt{1600 + 2500} = \sqrt{4100} \\\\= 64.03\)

A pentagon $abcde$ is translated north by 40 units to pentagon $a_1 b_1 c_1 d_1 e_1. $ pentagon $a_1

Given:A pentagon ABCDE is translated north by 40 units to pentagon A1B1C1D1E1. Pentagon A1B1C1D1E1 is then translated east by 50 units to pentagon A2B2C2D2E2. We know the perimeter of pentagon ABCDE is 30 units.

To find:\($CC_2$\)Solution:The diagram is shown below:In the above diagram, the given information is shown. Let the length of \($AE$ be $x$\).As we know that perimeter of pentagon $ABCDE$ is 30 units, so we can say that:AB + BC + CD + DE + EA = 30Since, Pentagon ABCDE is translated north by 40 units to pentagon \($A_1B_1C_1D_1E_1$.So, $A_1B_1$ = AB = $x$\)

We know that \($B_2C_2 = x$ and $B_2B = EA = x$. Therefore,$(C_2C)^2 = (x)^2 + (x)^2$$(C_2C)^2 = 2x^2$C2C = $\sqrt{2}x$Therefore, CC2 = C1C + C2C = 50 + C2C = 50 + $\sqrt{2}x$\)So, the value of \($CC_2$ is $50 + \sqrt{2}x$.\)

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whats the diference between 1/2 e to the x minus 4 and e to the x minus 4

Answers

The difference between \(\frac{1}{2}e^{x-4}\) and \(e^{x-4}\) is that the first equation is only half of the second equation. When we multiplied \(e^{x-4}\) by \(\frac{1}{2}\), the remaining result became half of \(e^{x-4}\). Hope this helps!

How was Malcolm X's approach to gaining civil rights different from Dr. King's? Why do you think he resisted King's approach?

Answers

Answer:

Near the end of his life, Malcolm X publicly recognized that "Dr. King wants the same thing I want — freedom!" But for most of his ministry he did not identify with King and the civil rights movement. Although both Black Muslims and King's Southern Christian Leadership Conference had the same general goals of defeating white racism and empowering African Americans, Malcolm and King had different tended to speak at different venues (street corners vs. churches) and had different aims. Malcolm, who would publicly deny that he was even an American, worked for a Nation of Islam that sought to create a separate society for its members. Malcolm rejected integration with white America as a worthwhile aim (deriding it as "coffee with a cracker") and particularly opposed non-violence as a means of attaining it. "That's what you mean by non-violent," he said, "be defenseless." In Malcolm's mind, the African American could never surrender his right of self-defense against white violence.

Explanation:

I think that because Malcolm X had a different opinion thank King's approach on the civil rights movement he wanted to stick to it.

In the first paragraph, the words “heaven,” “firmament,” and “stars” serve mainly to
Choose 1 answer:
highlight the spiritual nature of sailing.
illustrate the dangers involved in climbing the mast.
describe the constellations in the night sky.
emphasize the height of the skysail.
I would be guessing.

Answers

The use of the terms "heaven," "firmament," and "stars" primarily serves to emphasize the spiritual component of sailing.

What kind of activity is sailing?

Sailing is the use of the wind to move a craft through a predetermined route, and is frequently a component of a broader navigational strategy. These craft can be on the surface of the water (sailing ships, sailboats, rafts, windsurfers, or kitesurfers), on ice (iceboats), or on land (land yachts).

What does sailing accomplish?

A sport known as sailing uses the wind to help boats move forward on water. The sailboat's purpose in a race is to go forward with the aid of the wind. So, speed and wind are the main driving forces of sailing.

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Explain the key steps in conducting a & learning et training needs analysis according to meyer of aut (206:165) and provide examples related to your work envirement for each step​

Answers

Meyer describes the primary actions necessary for organizing a thorough training and education evaluation, encompassing pinpointing business objectives, appraising current competencies, highlighting performance voids, formulating educational goals, constructing courses
of action, and examining their achievements.

What examples were given?

For instance, an establishment may require an increase in revenue, and encounter employees with inadequacies in software capabilities. The learning goals might revolve around enhancing earnings by 10% in the subsequent lap, as well as developing a curriculum inspiring increased expertise in that program where there are insufficiencies identified.

Subsequently, scrutinizing results constitute recommended practice to measure the effect of said initiatives on actual sales development.

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Read the excerpt for this question from The Age of Innocence by clicking here (https://assets.learnosity.com/organisations/328/ad81cc8c-a0f6-4441-a402-93aa80a8bda7/l03_passage.pdf). The passage will open on a second screen. Arrange the screens so you can see both at the same time.

What does the description of Mrs. Mingott’s house in the first paragraph suggest? (Select all that apply.)

Mrs. Mingott’s home is frequently crowded with influential New Yorkers.
Mrs. Mingott has more modern furnishings than others of her social class.
Mrs. Mingott’s home is not as old as other homes in the city.
Mrs. Mingott spends more than she can afford on decorations and food.

Answers

Answer:

Mrs. Mingott’s home is not as old as other homes in the city.

Explanation:

The description of Mrs. Mingott's home is that of a stately house built with a lot of furnishings. However, the passage recognized that the building was not as venerable or impressive as the other buildings in the city.

But it was mentioned that many of the buildings will go out of fashion before Mrs. Mingott's house. Some of them described were "the quarries, the one-storied salons, and the wooden green houses". This information from the first paragraph leads to the conclusion that Mrs. Mingott's home was not as old as other homes in the city.

Define the word "incognito"?

Answers

Answer:

(Of a person) Having ones true identity concealed

Answer:

When you wish to accomplish something without being seen, become incognito, which means concealing your actual identity. It's ironic that the terms recognize and incognito are both connected to the Latin verb cognoscere, which means "to learn," because you don't want to be recognized while you're doing anything incognito.

OAmalOHopeO

The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?

Answers

Answer:

299m + 261j >= 1000

Explanation:

The inequality equation is basically the mg of per glass of milk times the m cups of milk  +  mg per glass of juice times the j glasses of juice should be greater than or equal to required 1,000 mg per day

Describe the wastewater treatment that occurs at the Back River Wastewater Treatment Plant

Answers

The Back River Wastewater Treatment Plant utilizes a multi-step process to treat wastewater. It includes physical, biological, and chemical treatments to remove contaminants, reduce pollutants, and produce treated water that meets regulatory standards for discharge into the environment.

What is wastewater treatment?

Wastewater treatment is the   process of removing and eliminating impurities from wastewater and convertingit into effluent that may be recycled into the water cycle.

When returned to the water cycle,the effluent has a low   environmental impact or is utilised for other uses.

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Terrance was in an accident that caused damage to the part of his brain called the cerebellum. Which skill-related component will MOST likely be affected by this damage?


A) speed

B) balance

C) power

D) flexibility

Answers

Answer:

Balance

Explanation:

Note : -

The cerebellum controls voluntary movements such as:

walking.

posture.

balance.

coordination.

eye movements.

speech.

These are affected if cerebellum is damaged.

Answer:

it's balance cause the cerebellum controls voluntary movement which for example is walking

Other Questions
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