Use the FOIL method to find the terms of the following multiplication problem.
(4+3i) (6-3i)

Use The FOIL Method To Find The Terms Of The Following Multiplication Problem.(4+3i) (6-3i)

Answers

Answer 1

Answer:

FOIL = First terms, outer terms, inner terms, and last terms. The product of the first terms is 24 (4*6). The product of the outer terms is -12i(4*-3i). The product of the inner terms is 18i(3i*6). The product of the last terms is -9i^2(3i*-3i). "i^2"= -1 So, -9*-1= 9.


Related Questions

urgent!
Which of the following becomes
disrupted when we don't feel
self-control?
A. anxiety
B. internal circadian rhythm
C. relational processes
D. personal reality

Answers

Self-control could be defined as the conscious ability to regulate impulses voluntarily, if we don't feel self-control relational processes becomes disrupted.

Self-control is the ability to regulate emotions, thoughts and behaviors effectively in different situations.

A person with self-control can manage their emotions and regulate her behavior, copes with setbacks with serenity, has patience and understanding in relational processes.

Lack of self-control affects the ability to establish and maintain positive and rewarding relationships with diverse individuals and groups through communication, social commitment, and teamwork.

Therefore, we can conclude that self-control allows to regulate emotions, thoughts and behaviors, giving the possibility of choosing actions and reactions to stimuli, with the aim of achieving a greater personal and relational balance.

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How were social categories, roles, and practices maintained or changed from 1450-1750?

Answers

Answer:

This is an essay question. You need to develop a theory about the three biggest forces in world history during that 300 year period. You should look at the movement of capital, the movement of ideas, and the movement of people. That should get you started with a tidy five para structure. You will need to gather some sources together. Happy research!

Is a type of decision-making who over-analyzes information.

Answers

Answer:

Analytical decision-makers carefully analyze data to come up with a solution. They are careful and adaptable thinkers. They will invest time to glean information to form a conclusion.

Explanation:

John notices Jimmy taking $5 from the cash register at the end of the night. Jimmy says that the company owes him for making him work three Friday nights in a row. Jimmy also asks John not to tell anyone. John’s ethical duty is to ______. a. Stay loyal to Jimmy and not turn him in b. Forget the incident because it doesn’t involve him c. Ask Jimmy for half the money not to tell d. Turn Jimmy in despite his protests Please select the best answer from the choices provided A B C D

Answers

Answer:

Explanation:

super subjective, but i assume they want D

John’s ethical duty is to turn Jimmy in despite his protests, hence option D is correct.

What is work Ethics?

Work Ethics are a set of standards, values, and moral with which employees executes their duties e,g Integrity.

In this case, if John does not turn Jimmy in, he will be an accomplice which is unethical also.

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a crocodile ate my shoes ​

Answers

Answer: Spiderman

Explanation: The raccoon man said so

Hope they weren’t crocs. Hate to see croc on croc violence ;(

What are the benefits that can help the body in doing physical exercise? essay​

Answers

Answer:

a essay  a

Explanation:

what were georgia's after the proclamation of 1763

Answers

Answer:

The Proclamation of 1763 was issued by the British at the end of the French and Indian War to appease Native Americans by checking the encroachment of European settlers on their lands. It created a boundary, known as the proclamation line, separating the British colonies on the Atlantic coast from American Indian lands west of the Appalachian Mountains. In the centuries since the proclamation, it has become one of the cornerstones of Native American law in the United States and Canada.

What were some ways that September 11th affected North Carolina’s economy? Check all that apply. It led to several major commercial airline companies relocating to the state. It led to the creation of thousands of military jobs in the state. It led to the opening of more factories across the state. It encouraged more defense and military spending.

Answers

Considering the situation described above, some of how September 11th affected North Carolina’s economy include "it led to the creation of thousands of military jobs in the state."

The other way September 11th affected North Carolina’s economy is that "it encouraged more defense and military spending."

September 11, 2001, Terrorist Attack

September 11, 2001, Terrorist Attack was an attack on the United States targeting significant buildings such as Pentagon, World Trade Centers, and U.S Capitol.

Following the saddened incident that led to the immediate death of about 3,000 people, its effects were felt across the United States, including North Carolina.

Some of the effects led to increment in the militarization of North Carolina, making the state become the fourth-ranked state with military personnel in the United States with 166,000 troops.

Hence, in this case, it is concluded that the correct answer is options B and D.

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Larousse Language College will have 201 students in the Sixth Form next year. Mr Roche, who
does the timetabling, knows that between 70% and 75% of the students intend to study French
and between 40% and 50% of the students intend to study German. All students study either
French or German or both.

Answers

By using Venn diagram method, the smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

Given that Larousse Language College will have 201 students in the Sixth Form next year. And between 70% and 75% of the students intend to study French. Also, between 40% and 50% of the students intend to study German.

If  all students study either French or German or both, the least number of students that will study French will be

70/100 x 201

140. 7

Which means 141 students

The least number of students that will study German will be

40/100 x 201

80.4

That means 81 students

Also, the maximum number of students that will study French will be

75/100 x 201

150.75

That is 150 students ( Because approximation can't be done twice)

And the maximum number of students that will study German will be

50/100 x 201

100 students ( Because approximation can't be done twice)

a.) The smallest number of students that intend to study both French and German can be calculated as followed

Let the smallest number be x

141 - x + x + 81 - x = 201

222 - x = 201

- x = 201 - 222

-x = - 21

x = 21

b.) The largest number of students that intend to study both French and German can be calculated as followed

Let the largest number be y

150 - y + y + 100 - y = 201

250 - y = 201

- y = 201 - 250

-y = - 49

y = 49

Therefore, The smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

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Explain ONE historical situation in the period 1450-1750, other than the one illustrated in the passage, in which states experienced environmental impact.

Answers

During the period 1450-1750, are the environmental impact on the soil erosion are the transfer of the diseases.

What is environmental?

The term "environmental" refers to the surrounds on Earth. The environment is made up of both living and non-living entities. The influence of the environment on human life Plants, fisheries, animals, woods, and microorganisms are examples of biotic factors in the environment. Water, land, rocks, air, and other abiotic components are examples.

The movement of cattle and animals from one region to another, notably from the eastern to western hemispheres, had a significant environmental impact in the Americas. The animals brought west overgrazed, causing land degradation and disease transmission.

As a result, during the period 1450-1750, are the environmental impact on the soil erosion are the transfer of the diseases.

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Which of the following best explains the changes on the map between 1644 and 1800?

Answers

Answer: It incorporated many diverse cultural groups

Explanation:

Bryan takes out an unsubsidized loan of $3,000 with an interest rate of 5%/per year. How much will he owe at time of graduation?

$3,000

nothing

$3,600

$15,000

Answers

Answer:

Explanation:

C

5%3000 = 150

150 x 4 = 600

3000 + 600 = 3600

Answer: $3,600

Explanation:

3,000 * 0.05 = 150

150 * 4 = 600

3,000 + 600 = 3,600

Which of the following identifies an error in Mathus' theory?


A. A famine caused food production to fall instead of grow as Malthus predicted.

B. The population grew much more than Malthus predicted.

C .A war reduced the population size instead of growing as Malthus predicted.

D. Food production grew much more quickly than Malthus predicted.

E. The population remained steady and did not grow as Malthus predicted.

Answers

D.- Food production grew much more quickly than Malthus predicted

Answer:

its D

Explanation:

i just took the exam it was right



In a cluster sample:

A. a subset of naturally occurring groups are randomly sampled.

B. an alphabetic list of individuals is used for random selection into

the sample.

C. individuals are distinguished based on some characteristic such

as gender before they're randomly selected from the population.

D. only convenient members of the population are chosen.

E. None of the above

Answers

In a cluster sample only convenient members of the population are chosen. The correct option is D.

What is cluster?

In cluster sampling, a population is divided into clusters, which are smaller groups. They then choose a sample at random from these clusters.

Often employed to investigate huge populations, particularly those that are extensively geographically distributed, cluster sampling is a probability sampling technique.

Large, dispersed populations should be studied using cluster sampling because interviewing every individual would be expensive, time-consuming, and possibly impossible.

Cluster sampling enables the construction of smaller, more similar representations of the population being studied. Only practical population members are picked for a cluster sample.

Thus, the correct option is D.

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1. f(x) = 2x^3 -3x. If h(x) is the inverse function of f, then h'(-1) =

I believe the correct answer is 1/3, but I don't know how to get it.

Answers

If f and h are inverses of one another, then we have

h(f(x)) = x

Differentiating both sides using the chain rule gives

h'(f(x)) • f'(x) = 1

Let f(x) = -1. Then it would follow that

h'(-1) = 1/f'(x)

for the value of x such that f(x) = -1. This result is known as the inverse function theorem.

Solve for x such that f(x) = -1 :

2x³ - 3x = -1

2x³ - 3x + 1 = 0

By inspection, x = 1 is a solution, since 2 - 3 + 1 = 0. So x - 1 is a factor of the left side; polynomial division yields a factorization of

(x - 1) (2x² + 2x - 1) = 0

and using the quadratic formula, we find three solutions,

x = 1, x = (-1 - √3)/2, x = (-1 + √3)/2

Since there's more than one solution here, this means f(x) is not one-to-one and thus has no inverse in the strict sense of the term.

We can however restrict the domain of f(x) to a subset over which it can be inverted. Using the fact that polynomials are monotonic over intervals between their extrema, we find the critical points of f(x) :

f'(x) = 6x² - 3 = 0   ⇒   x² = 1/2   ⇒   x = ± 1/√2

Check the sign of the second derivative at each critical point:

f''(x) = 12x

• f''(-1/√2) = -12/√2 < 0   ⇒   x = -1/√2 is a local maximum

• f''(1/√2) = 12/√2 > 0   ⇒   x = 1/√2 is a local minimum

Now we have a few choices of how to define the inverse of f(x).

• If we restrict the domain of f(x) to the interval (-∞, -1/√2), then f(x) = -1 when x = (-1 - √3)/2. Then by the inverse function theorem,

f((-1 - √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 - √3)/2) = (-1 + √3)/6

• If we instead restrict the domain to (-1/√2, 1/√2), then f(x) = -1 when x = (-1 + √3)/2. Then

f((-1 + √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 + √3)/2) = (-1 - √3)/6

• Otherwise, if we restrict to (1/√2, ∞), then f(x) = -1 when x = 1. Then

f(1) = -1   ⇒   h'(-1) = 1/f'(1) = 1/3

The Image demonstrates the legacy of:
a nation-state
federalism
separatism
colonialism
dependency theory

Answers

Answer:

federalism

Explanation:

the Parliament is the federal institution with the power to make laws, to raise taxes, and to authorize government spending.

Read the following poem carefully before you choose your answer.

The following poem is addressed to a friend of the speaker.

Then hate me when thou wilt; if ever, now;
Now, while the world is bent my deeds to cross,
Join with the spite of fortune, make me bow,
And do not drop in for an after-loss:
(5) Ah, do not, when my heart has 'scaped this sorrow,
Come in the rearward of a conquered woe;
Give not a windy night a rainy morrow,
To linger out a purposed overthrow.
If thou wilt leave me, do not leave me last,
(10) When other petty griefs have done their spite;
But in the onset come, so shall I taste
At first the very worst of fortune's might;
And other strains of woe, which now seem woe,
Compared with loss of thee, will not seem so.
(1609)

Which of the following best describes the function of the poem's couplet?

A) It challenges the notion that the relationship will end.
B) It discounts the speaker's concerns with a hint of possible change.
C) It introduces an explanation for the speaker's strong feelings.
D) It remarks on the recipient's sudden and unexpected change of heart.
E) It summarizes why the relationship should be dissolved now.

Answers

Answer:

b is the answer if not sorry

The poet's couplet describes the It discounts the speaker's concerns with a hint of possible change.

What is fortune's night?

This particular sonnet and those which are numbered 1-126 belong to Shakespeare’s famous Fair Youth sequence. These poems are devoted to a young, beautiful man whose identity remains unknown to this day. There has been a great deal of speculation about who this young man could possibly be, but no single identity has ever been decided upon.

Shakespeare uses a variety of poetic devices in "Sonnet 90." These include metaphor, caesura, and alliteration, among others. When words that start with the same sound are used consecutively or even just near to one another, alliteration develops.

When a line is cut in two, sometimes with punctuation and other times without, this is known as a caesura. Punctuation in these places causes a highly deliberate stop in the text.

Therefore, The poet's couplet describes the It discounts the speaker's concerns with a hint of possible change.

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Pleassee Helppp!!!!
Health professionals communicate effectively by referring to the body as though it is in anatomical position.
True
False

Answers

I think it’s true but I’m sry if that’s wrong

What are the advantages and disadvantages of two-wheeled transportation?
edge2021

Answers

howdy! ^_^

the sample response from edge is

Two-wheeled transportation is an inexpensive way of traveling in comparison to cars, they conserve energy, and require little parking space. The disadvantages are they have high accident rates, requires special skill, constant attention, and requires the use of appropriate safety equipment.


hopefully this helps! goodluck<3

im almost done with high school and I want to go to a college in texas where the love of my life lives. anyone got any suggestions for good colleges there???

Answers

Answer:

Trinity University in San Antonio is nice, just know that if you walk around downtown San Antonio (really anywhere in Texas) either carry pepper spray and or other self defense mechanisms and/or walk with a man you trust (that applies only if you are a woman, sadly)

I was there visiting Trinity and it's nice, really nice gyms and stuff, cool food court, other stuff too, but i was walking downtown with MY PARENTS on either side of me and a scary guy came up and cut us off and was making crude comments toward me and was advancing on us. so guys in big cities are bold a-holes.

It seems like going to school in texas would mean out-of-state tuition for you, so apply for any and all scholarships that you can.

Explanation:

5.During the process of condensation water in ________ state changes to ________ state.

Answers

During the of condensation , water in a gas state changes to a liquid state.


What statement is incorrect about natural selection

Answers

Answer: What statement is incorrect about natural selection

Explanation: Human genetic modification.

I am with you wherever you go, but I am never personally there.
What am I????

Answers

Answer:

I'm pretty sure the answer is God.


Looking at a hypothetical situation requires what kind of thinking

Answers

Most likely requires hypothetical thinking, such as "what if........happened?"

20 POINTS!!!!
Which of the following statements BEST describes the position of the United States following World War II?

The United States should set up and control democratic governments in allied European countries.
Promoting democracies in European countries is the best way for the United States to combat the spread of communism.
The United States should not be expected to provide financial aid to countries struggling to rebuild after the war.
It is not the United States' responsibility to provide aid to states that have resisted communist takeovers.
The United States should focus attention on Western Europe only.

Answers

The first one. Skshsbeebshshshdhdbdbdbd

What holioday is your favorite if you answer correct you get brainliest

100 points

Answers

Answer:

Christmas and valentines day

Christmas bc i love giving gifts and spending time with fam

valentines day bc i like getting Chocolate  lol

:)

List the molecules of the “energy investment phase” in order starting from Glucose?

Answers

Answer:

Energy investment phase. Glucose is first converted to fructose-1,6-bisphosphate in a series of steps that use up two ATP. Then, unstable fructose-1,6-bisphosphate splits in two, forming two three-carbon molecules called DHAP and glyceraldehyde-3-phosphae.

Explanation:

hope it helps you

Explain four reasons of preserving farm produce​

Answers

The following are some of the reasons we preserve our food.

Not to lose it freshness

.To prevent contamination and infection

.To prevent food from smelling

.To keep insect and other pest away from the food.

Keeps farm produce in good condition for planting in the next season

.To keep food for a long period of time.

Explanation:

One- Not to lose it freshness.

Two- To prevent contamination and infection.

Three- To prevent food from smelling.

Four- To keep insect and other pest away from the food.

100 Points.

What does it mean when a guy calls you pretty?
I know there is a difference from Pretty Buitiful, and Cute. But I don't know the difference please help.

Answers

Answer:

hmm i know STOP BEING A STALKER TO NARUTO

Explanation:

Answer:

Beautiful is probably the highest compliment, because it`s respectful and kinda ego-boosting. When they call you pretty, it`s a lesser version of beautiful but it`s still a nice compliment. Pretty is a term that friends like using amongst each other (at least my friend group, id.k for anyone else).

Cute is just straight up flirtatious, unless you`re talking to a friend. It`s the all-purpose term for complimenting lm.ao

Hope this helps :/

describe life in the south in 2 sentences

Answers

Answer:

Loaded Guns

Explanation:

2 Loaded guns

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