What are the amplitude, period, and phase shift of the given function?
Ft) = -4 sin (7t + 3)

Answers

Answer 1

Answer:

Amplitude: 4

Period: 0.898 seconds.

Phase shift: 6.142 radians.

Explanation:

A sinusoidal function is defined by the following model:

[tex]F(t) = A\cdot \sin (\omega\cdot t + \phi)[/tex] (1)

Where:

[tex]A[/tex] - Amplitude.

[tex]\omega[/tex] - Angular frequency, measured in radians per second.

[tex]\phi[/tex] - Phase shift, measured in radians.

We need to transform the given function into this form by trigonometric means. The following trigonometric identity is used:

[tex]-\sin \theta = \sin (\theta + \pi)[/tex] (2)

Then,

[tex]F(t) = -4\cdot \sin (7\cdot t + 3)[/tex]

[tex]F(t) = 4\cdot \sin (7\cdot t +3+\pi)[/tex]

Then, the following information is found:

[tex]A = 4[/tex], [tex]\omega = 7\,\frac{rad}{s}[/tex], [tex]\phi = (3+\pi)\,rad[/tex]

The period of the given function ([tex]T[/tex]), measured in seconds, is determined by the following formula:

[tex]T = \frac{2\pi}{\omega}[/tex] (3)

[tex]T = \frac{2\pi}{7}[/tex]

[tex]T \approx 0.898\,s[/tex]

Then, the following information is found:

Amplitude: 4

Period: 0.898 seconds.

Phase shift: 6.142 radians.


Related Questions

When the first shot of the Civil War was fired at four thirty in the morning on April 12, 1861, many believed that it would be a short conflict. Even though Fort Sumter had to endure thirty-four hours of Confederate bombardment before the Union surrendered it, the Union enjoyed a number of significant advantages over the Confederacy. Yet, by the time Robert E. Lee surrendered to Ulysses Grant at Appomattox, Virginia, some four years later, about 620,000 soldiers had died on the battlefields, more than American battle deaths in all other wars from the Revolution through the Vietnam War.


How does this paragraph from The Dark Game best support the central idea that the Civil War was a long war?

a
It shares the detail that the war lasted four years.
b
It gives an example of a battle that lasted almost two days.
c
It states what people believed about the war at the time.
d
It tells how many soldiers actually died in the war.

Answers

Answer:

a . It shares the detail that the war lasted four years.

Explanation:

Paul Janeczko's "The Dark Game: True Spy Stories" is a novel about espionage and surveillance in the world of US politics and security. The book also describes several instances of spy stories from the real top-secret missions undertaken by the US government.

In the given passage from the novel, the author details how devastating the Civil War was for the people of the United States as the number of casualties was more than that of "wars from the Revolution through the Vietnam War." The paragraph reveals how long the Civil War took place, stating that it was "some four years later" after General Lee surrendered to Ulysses Grant.

Thus, the correct answer is option a.

In your opinion, is Lily, who is the narrator, the heroine or the villain? What are her flaws and her strengths?

Answers

Answer:

well it depends on how the narrarator is expressing the story, if she is giving or telling the story like a villian or giving off a bad mood overall, if she was a heroine it would be the oppisite she would be giving off a good mood and telling the story excitingly

Explanation:

hope this helps :)

Describe how opinions of Keesh have changed throughout the story.

Answers

Answer: When Keesh was a kid, his father sacrificed himself to save people in a hunt; Therefore, he and his mother were left alone. They were treated like slaves for a long time. However, as the story goes, he gets more and more acceptance by the people since he became not only a hunter but the best hunter in town. He made sure the people always had something to eat.

Explanation: In the story of Keesh, the main character has a personality growth throughout the story. The author implies at the beginning that he was a weak character, mistreated by the people, and suffered along with his mother. However, as years pass by, he became the headman of his village and gave a better life to his mother as well.

I BET NO ONE KNOWS THIS Who regulates money and stock markets?

the government
private companies
the federal banks
All of these choices are correct.

Answers

I personally think that that is correct

Answer:

The government regulates money and stock markets. The private companies and federal banks control the money and stock markets.

Explanation:

Describe thurstons relationship with his name

Answers

Answer:

His mother was what he describes as a "pan-African hippie type of woman who marched in the streets" and named him Baratunde as a way to "get back to Africa."

In which section of Ben's presentation does this information belong?

Answers

Answer:

in the presentation of the negative effects of the problem

Explanation:

The higher rate of accidents associated with drivers who text while behind the wheel is clearly a negative consequence of doing so. As such, it belongs in the part of the presentation that exposes the dangers of texting while driving.

In the presentation of the solution, Ben should include AI developments that better voice texting. The slide title should not mention either negative effects or solutions, but rather the topic itself. Positive effects of the proposed solution should be reserved for the last few slides before the conclusion.

Ben is taking notes for his oral presentation about the impact of people using their cell phones while they drive. He finds data suggesting that people who are distracted on their phones get in accidents at higher rates than drivers who are not on their phones. in the presentation of the negative effects of the problem

any idea for an informative essay?
i really need help!

Answers

Answer:

Give an informative essay on butterflies.

Explanation:

They're beautiful :)))

How does the structure of the Declaration contribute to its meaning? It provides a list of human rights protected by the United Nations B. It provides steps on how to ensure that all people have equal rights . It compares the rights that people in different nations have access to compares rights that are and are not protected by the United Nations

Answers

Answer:

It provides steps on how to ensure that all people have equal rights

Explanation:

The declaration of independence was written very wisely because it provided a structure that organized not only the reasons why America should be independent, but also presented in a logical and succinct way, the steps that would be necessary for all people in the country to have all equal rights and had all their freedoms guaranteed equally among all. Because of this very logical and well-defined structure, the declaration is easily accepted and defended by the population.

which word means that a persons statment are likely to be belived

Answers

Answer:

belivable or trustworthy

Explanation:

Answer:

credible, plausible would also be a possible word to describe it

Explanation:

I’ll give the Brainliest to who answers this question with a reasonable explanation.

1. Who wrote one of the fist postmodern plays?

A. Eugene O’Neill and Anton Chekhov
B. Stephen Sondheim and Tony Kushner
C. Lin Manuel Miranda and Lorraine Hansberry
D. Samuel Beckett and Edward Albee

Thank you.

Answers

Answer: I dont think it’s any of these

Explanation:

Answer:

none hahahs

Explanation:

What does “Beedle,Beedle,Beedle,” mean?

Answers

there is no true meaning behind it.

I need a 2 page or 1 1/2 page story details I need is that I won a ticket to any tv show and I picked keeping up with the Kardashian and I need to put myself in there and think about what it would be like.

Due today 8:30
Writing

Answers

If you search up EssayTyper it writes your essays for you
I would say spill whatever comes to your mind. It seems like an easy situation to put your shoes into, though. Two pages or at least 1 1/2 of one would take an hour or two, maybe an hour and a half if you put some thought into it. Some people probably wondered what life would be like as a Kardashian so think of all the stuff you would do with money or what celebrities you would befriend had you get the chance.

Identify at least three central ideas expressed by Thoreau in this essay, "Where I Lived, and What I Lived For."

Answers

The correct answer to this open question is the following.

The three central ideas expressed by Thoreau in this essay, "Where I Lived, and What I Lived For," are the following.

The idea of having an ideal life. The idea of self-reliance. The idea of having your bare necessities covered such as food, housing, and clothing.

Henry David Thoreau is the author of "Where I Lived, and What I Lived For,"

Thoreau (1817-1862) was an author and a naturalist that had different ideas compared to the ones expressed in his time by other authors, In his book "Walden" he refers to the importance of having a simple life with the basic necessities covered, living in a nice place, surrounded by nature and family members.

He also had a rebellious side that is portrayed in the essay "Civil Disobedience," written in 1849.

What is the Main idea of "Lets pretend this never happened" By Jim Benton?

Answers

In her diary, middle school student Jamie Kelly describes her life at home and at school, including her attempts to triumph over her nemesis, the beautiful and popular Angeline.

A summary should include

Answers

Answer:

A full detailed recollection of events or a sequence of events.

Which resources did Shakespeare used to write Macbeth?
A) A history of Scotland by Raphael Holinshrd
B) A classical tragedy from ancient Greece
C) the story of the Flates from Greek and Roman mythology
D)) An older English play by an anonymous Author

Answers

Answer:

A Trust me bro is A. i know for a fact

According to the article, what has contributed to the increase in people attempting to summit Denali over the past century? * 1 point A. Rising temperatures B. Improvements in climbing gear C. E. Coli D. Glacier movement

Answers

Answer:

B. Improvements in climbing gear

Explanation:

Denali is the highest mountain in the USA and is one of the most difficult to climb. The difficulty of climbing is mainly due to the inhospitable climate, composed of very low temperatures that hinder the survival of climbers. In addition, the mountain has numerous very steep vertical climbs that make climbing extremely difficult. However, the number of people who try to climb this mountain is much greater than the number of people who tried to do it in the last century. This is probably a result of the advancement of climbing techniques and equipment, which has become increasingly safe and efficient in helping difficult mountain climbs like Denali.

John's car idling in the parking lot.​

Answers

Ohhh that’s so bad merry Christmas
What did you want us to correct this?

Based on the preceding dialogue, who is Theseus?
A.
a noble or Duke
B.
C. the bride's groom
D. a family friend
E. the bride's older brother
the bride's father

Answers

Answer:

Theseus was the mythical king and founder-hero of Athens.

Read Maria’s brainstorming table.

Beginning: My cat escaped the house when a window was left open. Middle: I searched everywhere for my cat and posted signs around my neighborhood. End: After a few days, I found my cat waiting for me on the porch after school.

Which sentence would best introduce this series of events in a descriptive narrative?

My dad drove me to the office supply store so I could make copies of the “Lost Cat” poster with my cat’s photograph on it.
There was my cat, sitting by the door licking her paws.
One hot summer day, my cat pushed the screen out from an open window and snuck out into the big outside world.
My cat got lost one day by jumping out of an open window.

Answers

Answer:

One hot summer day, my cat pushed the screen out from an open window and snuck out into the big outside world.

Explanation:

In this statement, at the beginning, it is described that it was hot and summer so one can picture the weather that day.The way in which the cat got lost is also explained.

Answer:

One hot summer day, my cat pushed the screen out from an open window and snuck out into the big outside world. (C)

Explanation:

I got it right on the test :) hope this helps!

Which conjuction is not used to indicate a contrasting relationship among ideas?
A. but
B. also
C. however
D. yet

Answers

Answer:

also

Explanation:

A metaphor is _____?
Select one:
A) a comparison between two unlike items that is developed at great length
B) a figure of speech using comparison of two seemingly unlike things
C) a figure of speech using deliberate exaggeration or overstatement
D) a similarity or comparison between two different things or the relationship between them

Answers

Answer:

i think D

Explanation:

He has no one to miss him at home __________.

A. Dally

B. Ponyboy

C. Bob

D. Johnny

E. Soda Pop (For The Outsiders)

Answers

Answer:

johnny

Explanation:

hope this helps

Janna analyzed the following paragraph.

Nuts are small, easy to carry, and easy to store for an emergency snack. They are packed with protein and contain some heart-healthy benefits, such as healthy fat. Be careful, though—they also have plenty of calories! Of course, coating nuts with salt or chocolate reduces any health benefits they might have.

Which of Janna’s conclusions is supported by the textual evidence in this paragraph?

A.
Nuts cannot be part of a healthy diet.
B.
Nuts can be used creatively in cooking.
C.
Nuts would be a good food to take on a hike.
D.
Nuts should only be eaten in small quantities.

Answers

Maybe C or D I’m really thinking it’s one of those

Answer:

C

Explanation:

what do you think of when you hear the word freedom

Answers

What comes to your mind when you hear the word "freedom"?
It comes to my mind the great Martin Luther King who fight against the white oppression and lead the black people on the protest of 1963 where he talked about his big phrase "I have a dream".
Do you have as much freedom as you want to in your life? Explain.
if you compare someone like me 200 years ago with the present, I would tell you, yes, i have enought freedom to do anything I want. but now on day, you cant tell you are free, because to go to the neighbor country you need a passport or things like that.
In what way can society take away your freedom? Think about how people lived a long time ago.
They can make us slaves. They can tell us whenever they want a war and we got to respect that decision. We got to give the teens away to a dumb war.
What are some examples of freedom?
The freedom is when ou realize you are tie to anything at all, that anything ties you down. That you can go to any country you want. That you can be free. But, we still have on mind that our freedom's border is the other one's.

6) Which text feature clarifies the proper pronunciation of the national
monument described in this passage?
A) artifacts
B) philosophies
C)
Ocmulgee
D) Oke-mull-gee

Answers

Answer:

D.)

Explanation:

I hope this helps. :)

Why is Emily Dickinson’s "Because I could not stop for Death" a lyric poem?
A. The lines contain dashes.
B. The stanzas have a musical quality.
C. The lines are of the same length.
D. The lines have simple words.
E. The stanzas contain four lines each.

Answers

E-the stanzas contains four lines each

the correct answer is B, the stanzas have a musical quality

Read this excerpt from T. C. Boyle's "Top of the Food Chain":
The villagers [were] in a panic over the threat of the plague and the stream of nonstop hysterical reports from the interior — people were turning black, swelling up and bursting.

Which statement best describes why this excerpt is an appeal to pathos?



A.

Words like "panic" and "hysterical" cause the reader to feel frightened for the people.




B.

Words like "villagers" and "reports" provide the reader with specific facts and details.




C.

Words like "villagers" and "reports" help the reader sympathize with the people's situation.




D.

Words like "panic" and "hysterical" help the author establish himself as an expert.

Answers

Answer: A is the answer

Explanation:

please help i have ten mins Jake really works well with numbers and is skilled with computers but doesn't work well with others. Which of the jobs discussed in this unit might be best for Jake? Why?

Answers

Answer:

what jobs were discussed

Answer:

Pherhaps he can try computer coding, or tech support, or something

Explanation:

I Have A Dream
Which is the best meaning for decree as it is used in the second
paragraph?
A)
a lesson
B)
a schedule of events
C)
a mandate or declaration
D)
a chance happening of events

Answers

Answer:

b

Explanation:

Answer:

a scedual of events.

Explanation:

big Bs

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