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

Read the excerpt from "The Legacy of Billy Mason."

Outside, the windmill continued its eerie creaking and moaning, and the light of the moon scarcely penetrated the dirt on the glass in the only window in the bedroom. Lying there in the darkness, Billy looked at the door again and again. What was behind it? Did it hide some awful secret? Did something monstrous lurk there? Then suddenly, as he watched, the door slowly opened, and as it opened, he saw his own name glowing in the darkness: Billy Mason.

What can the mood of the excerpt best be described as?

tragic
lighthearted
nostalgic
mysterious

Answers

Answer:

im pretty sure its mysterious

Answer:

I am 99420% sure it's D.mysterious

Explanation:

Junk food or healthy food?

Answers

Answer:

Healthy

Explanation:

It gives you more energy through out the day and your body will definitely thank you

Explanation:

obviously healthy food

because it gives us more energy to work

please urgent please beg

Answers

Answer:

1)  

1. dancing - 2. sitting - 3. playing - 4. lying - 5. cutting - 6. flying - 7. living - 8. jumping - 9. dying - 10. having - 11. studying - 12. Winning - 13. Helping - 14. Paying - 15. Drying - 16. Hitting - 17. Kissing - 18. Taking

2)

1. helping - 2. it’s - 3. he’s - 4. dancing - 5. is not - 6. aren’t - 7. she - 8. studying - 9. are sitting - 10. are

3)

1. aren’t - 2. Isn’t - 3. Isn’t - 4. Am not - 5. Aren’t - 6. Isn’t - 7. Isn’t - 8. Aren’t - 9. Aren’t - 10. Aren’t - 11. Isn’t - 12. Aren’t - 13. Am not - 14. Isn’t

4) see picture attached.

10.I haven't seen / haven't been seeing you for ages. 11.God! Hakan has scored / has been scoring.

Answers

Answer:

10. I haven't seen you for ages.

11. God! Hakan has scored.

I like to go to the lake. I like to run on the shore and fly kites. Swimming in the lake is fun, and so is flying kites. I like to ride on the paddleboats, too. Going to the lake is great fun.

One idea is repeated in the paragraph above. Which idea is repeated?

A.Riding paddleboats.
B.Swimming is fun.
C.Flying kites.
D.Running on the shore.​

Answers

The answer is C mothertrucker

Which plot event from Through the Looking Glass, could only happen in fantasy fiction? O Alice scolds her cat for misbehaving. O Alice reads a poem. O Alice goes into the garden. Alice meets talking flowers.
CORRECT ANSWER GETS BRAINLIEST AND 20 POINTS​

Answers

Answer: the fourth one

Explanation: Only in a fantasy world could you meet talking flowers

Into the wild

Several men along the journey became...... to McCandless

A. Enemies
B. Father figures
C. Friends
D. Like brothers

Answers

This question is incomplete. Here's the complete question.

Read Into The Wild” by John Krakauer

Several men along the journey became...... to McCandless

A. Enemies

B. Father figures

C. Friends

D. Like brothers

Answer: B. Father figures

Explanation:

Chris McCandless had fled his family after he found out his father had a second family. In his following journey, his search for father figures is an important element of the story as it depicts how important they are for him to define his own identity. Wayne Westerberg and Ronald Franz are father figures to Chris, and Franz even tried to legally adopt him.

PLEASE PLEASE HELP ME!!!!!! What is the tone of the passage?
O A argumentative
OB.scholarly
OC. sarcastic
OD. reflective

Answers

It’s probably D. Sounds mostly reflective to me.

The tone of the passage is, reflective.

What is reflective?

Reflective is characterizing to deep thoughts.

Because in the passage the writer is talking about going on a solo journey just to be with nature and gives a list of reason of travelling alone can help to gain and observe other things and just being with yourself, these are the reflective thoughts the writer express his tone with in this passage.

Hence the correct option is, D. reflective

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We do not sin to get grace, according to St. Paul. Why is this?

Answers

Answer:

Because sinning is against GOD and you dont need to sin to get grace

Explanation:

what is the author's main purpose in writing this article? “DO JUVENILE KILLERS DESERVE LIFE BEHIND BARS?” by Nina Totenberg

Answers

Answer:

In this article, Totenberg discusses whether life in prison is too harsh a punishment for juvenile killers. He is pretty much asking if life in prison is to bad for criminals.

Explanation:

:D

The article "DO JUVENILE KILLERS DESERVE LIFE BEHIND BARS?" by Nina Totenberg explores the issue of whether or not juveniles who commit murder should be sentenced to life in prison without the possibility of parole.

What is the opening of the article ?

The article opens with a brief description of the case of Lee Boyd Malvo, who was convicted of murder as a teenager and is currently serving a life sentence in prison. The author then goes on to discuss a recent Supreme Court case that addressed the issue of sentencing juveniles to life without parole, as well as several other court cases and research studies.

The article presents arguments from both sides of the debate. Those who argue for more lenient sentencing for juvenile killers point out that teenagers' brains are not fully developed and that they may be more susceptible to peer pressure and other outside influences.

They also argue that teenagers have a greater capacity for rehabilitation than adult offenders, and that it is therefore unfair to sentence them to life in prison without the possibility of parole.

On the other hand, those who argue for holding juvenile killers fully accountable for their crimes argue that murder is a serious crime that should be punished accordingly, regardless of the offender's age. They also point out that some juvenile offenders are capable of committing heinous crimes and may pose a danger to society if they are released from prison.

Throughout the article, the author presents information and arguments in a balanced and objective manner. She cites court cases, research studies, and other sources of information to support her points, and she presents both sides of the debate in a fair and even-handed way.

Ultimately, the purpose of the article is to inform readers about the complex legal and ethical issues surrounding the sentencing of juvenile killers, and to encourage further discussion and debate on the topic.

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write a essay on why children should be able to go to neighborhood schools it must not be less than 300 words​

Answers

Answer:

This essay is about my opinion on why I think that children should be able to go to neighbourhood schools.

I believe this because It would have a better impact on the world and our surroundings for example, if children were in neighbourhood schools the transport use in the area would be less, putting less pollution in our air. If I child goes to a school far away on a bus it’s not as bad as that bus can hold up to 20-25 people. therefore 1 vehicle- 20 students. Whereas if students take their own car and everyone takes their own cars there Is more vehicles with less human transport.  

They would feel more comfortable in and out of school for example they would be closer to home for emergencies. If they know there way around and are used to the area then the children should then feel more safer in a more comfortable, close-to-home environment.

If children come across as ill during school it is a less drive putting less pollution in the atmosphere, or they could even walk home.  

Children having houses nearer school would make it easier if the children wanted to go have lunch at home or in the town, then return to school after the break.  

If they leave then neighbourhood, they wouldn’t take as much pride in the town as a community

There may be some disadvantages to going to a closer school such as, to get the grades you need for your dream job may depend on the quality of the school itself.

Statistics show that school effectiveness studies show that the importance of schools on child academic progress doesn’t make much of a difference. But statistics show shat children feel more safer in a closer school.

In conclusion I believe being in a closer school is beneficial.

Grace

Which of the following is NOT a renewable resource?
Animals

Plants

Oil

Clothing

Answers

Answer:

clothing

Explanation:

Because clothing is human made. I hope this helps :)

Answer:

Oil

Explanation:

Oil is not a renewable source because it is harming the earth the way we are using it. Like using it for cars to let out fumes taking away oxygen we need to live. The other options are all made from nature so they would most likely desinigrate over time.

You are writing a report on how far the Earth is from other planets in the Milky Way. What would be the best graphics
to include in your presentation?

a. illustration
b. map
c. chart
d. diagram

choose all that apply.

Answers

Answer: Map

Explanation:

An illustration is a visual explanation of a text or a concept which is published in a book or media. A chart is a sheet of information which is presented in the form of a graph, table, or a diagram. A diagram is a drawing is when information are presented using visuals.

A map shows the whole world in visuals on a smaller scale. Maps shows us about the various planets and countries that we have which are presented as visuals.

what's the meaning of the below words:-
hope, Sharon, senorita, dreams, genius, fortune,honey ​

Answers

Explanation:

Hope: a feeling of expectation and desire for a particular thing to happen.

Sharon: as a girl's name is of Hebrew origin meaning "a fertile plain". In the Bible, Sharon refers to flat land at the foot of Mount Carmel.

Señorita: a title or form of address used of or to a Spanish-speaking unmarried woman, corresponding to Miss.

Dreams: a series of thoughts, images, and sensations occurring in a person's mind during sleep.

Genius: an exceptionally intelligent person or one with exceptional skill in a particular area of activity.

Fortune: chance or luck as an arbitrary force affecting human affairs.

Honey: a sweet, sticky yellowish-brown fluid made by bees and other insects from nectar collected from flowers.

Which words are synonyms for execrable?

revolting
repugnant
unfortunate
detestable

Answers

Answer:

repugnant is the synonums for execrable

Answer this question

Answers

Answer Okay ❤

Explanation:

.........

To properly cite quotations longer than four lines of verse or prose
A) None of these
B) Start the quotation on a new line, with the entire quote indented one inch from
the left margin
C)Place quotations in a freestanding block of text and omit quotation marks.
D) Maintain double-spacing and place your parenthetical citation after the closing
punctuation mark

Answers

Answer:

B. Start the quotation on a new line, with the entire quote indented one inch from the left margin

C. Place quotations in a freestanding block of text and omit quotation marks.

D. Maintain double-spacing and place your parenthetical citation after the closing punctuation mark.

Explanation:

To properly cite quotations longer than four lines of verse or prose, one should start the quotation on another line that is about an inch from the paper's left edge.

It should also be noted that the quotation marks should be omitted ans double spacing should also be used. Original line breaks should also be maintained when verses are being quoted.

Answer: B.

Explanation:

In which sentence could the word event be replaced by occurrence?
F. The parade is a major even in our town.
G. They are planning a special event to celebrate the day.
H. A full moon is a regular event.
J. A visit from Grandma was a big event at Hoons's house.
PLEASE HELP PLEASE ASAP!! WILL MARK BRAINLIEST

Answers

I think it would be full moon

Answer:

J. A visit from Grandma was a big "event" at Hoon's house.

Explanation:

Feel free to give brainliest.

Have an excellent day!

Which of these exemplifies how journalists can slant a story?
O A. Using a straightforward headline
O B. Quoting someone out of context
C. Highlighting an unbiased sound bite
D. Including pictures with a story

Answers

i believe the answer is B :)

By quoting someone out of context the journalists can slant a story. The correct option is B.

What is the main purpose of a quotation?

A quotation is a statement outlining the terms and conditions under which a seller will sell goods or services to a buyer at a given price. Quotations, also known as quotes, sales quotes, or sales quotations, are used to inform prospective customers of the price of goods or services before they commit to the purchase.

By not repeating what the reporter has already written in their own words, quotations also aid in the progression of stories. As the story progresses toward its inevitable conclusion, they instead give it a sense of urgency. For recording the promises and declarations of public figures, quotations are particularly useful.

Thus, the ideal selection is option B.

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Do the benefits of nuclear power outweigh the risks?

Answers

Answer:

No

Explanation:

Beneifts can kill you, like nuclear power can.

Answer:

While there is no such thing as 100 percent safe, having nuclear energy is much safer than you think. It's thousands of times safer than conventional coal and other fossil-fuel-derived energy, not to mention the specter of an environmental disaster from continued use of carbon-based energy sources.

Explanation:

Good Morning! Will anyone be kind enough to help me???

BOOK ONE: THE COMING OF THE MARTIANS

CHAPTER ONE: THE EVE OF THE WAR, excerpt



No one would have believed in the last years of the nineteenth century [between 1890-1899] that this world was being watched keenly and closely by intelligences greater than man's and yet as mortal as his own; that as men busied themselves about their various concerns they were scrutinised and studied, perhaps almost as narrowly as a man with a microscope might scrutinise the transient creatures that swarm and multiply in a drop of water . With infinite complacency men went to and fro over this globe about their little affairs, serene in their assurance of their empire over matter. No one gave a thought to the older worlds of space as sources of human danger, or thought of them only to dismiss the idea of life upon them as impossible or improbable. It is curious to recall some of the mental habits of those departed days. At most terrestrial men fancied there might be other men upon Mars , perhaps inferior to themselves and ready to welcome a missionary enterprise. Yet across the gulf of space, minds that are to our minds as ours are to those of the beasts that perish, intellects vast and cool and unsympathetic, regarded this earth with envious eyes, and slowly and surely drew their plans against us. And early in the twentieth century [between 1900-1910] came the great disillusionment.



Yet so vain is man, and so blinded by his vanity, that no writer, up to the very end of the nineteenth century, expressed any idea that intelligent life might have developed there far, or indeed at all, beyond its earthly level. Nor was it generally understood that since Mars is older than our earth, with scarcely a quarter of the superficial area and remoter from the sun, it necessarily follows that it is not only more distant from time's beginning but nearer its end.



The secular cooling that must someday overtake our planet has already gone far indeed with our neighbour. Its physical condition is still largely a mystery, but we know now that even in its equatorial region the midday temperature barely approaches that of our coldest winter. Its air is much more attenuated than ours , its oceans have shrunk until they cover but a third of its surface, and as its slow seasons change huge snowcaps gather and melt about either pole and periodically inundate its temperate zones. That last stage of exhaustion, which to us is still incredibly remote, has become a present-day problem for the inhabitants of Mars. The immediate pressure of necessity has brightened their intellects, enlarged their powers, and hardened their hearts. And looking across space with instruments, and intelligences such as we have scarcely dreamed of, they see, at its nearest distance only 35,000,000 of miles sunward of them, a morning star of hope, our own warmer planet, green with vegetation and grey with water, with a cloudy atmosphere eloquent of fertility, with glimpses through its drifting cloud wisps of broad stretches of populous country and narrow, navy-crowded seas.



And we men, the creatures who inhabit this earth, must be to them at least as alien and lowly as are the monkeys and lemurs to us . The intellectual side of man already admits that life is an incessant struggle for existence, and it would seem that this too is the belief of the minds upon Mars. Their world is far gone in its cooling and this world is still crowded with life, but crowded only with what they regard as inferior animals. To carry warfare sunward is, indeed, their only escape from the destruction that, generation after generation, creeps upon them.





In three to five complete sentences, explain why the inhabitants of Mars are interested in Earth. Use information from the text to support your answer. Use proper spelling, grammar, and punctuation.

Answers

Answer:

inhabitants of mars would be interested in mars because they would need more water earth has many water and mars has unknown water so it would make sense. Also they would need a better food source because for all we know inhabitants of mars would just eat the dirt meanwhile earth has many sources of food. Finally,inhabitants of mars would probably not need air because mars has no oxygen meaning that they would most likely want a more ordinary temperature than the cold temperature.

Explanation:

It is important to use information from reliable sources because if you know its a safe and trustworthy website then it would make sense to trust the info inside it.For example if your friend is trustworthy and has never lied to you and he says that vitamin D is from the sun but you thought vitamin C was from the sun you would most likely trust them more because they never lied to you.Also if the source is unreliable then you probably wouldn't even go onto the website or trust it so it makes more sense to trust a reliable website. Another example would be when you read a dictionary you would always trust it because that is !00% facts meaning that you would not need to doubt it for even a second because literally nobody has ever made a dictionary where it says that light is where all the less vision is and it makes you see less. This is why you must trust only reliable sources/websites.    

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

Answers

there is no true meaning behind it.

what activity to you connect with freedom?

Answers

Answer:

Going for  a walk, getting out of the house, or hanging out with friends is what i'd consider connecting with freedom!

Explanation:

Answer:

Activity to connect with freedom

Explanation:

Going for walks, having time on your own

I HAVE SOME TEA!!! Who wants me to spill?

Answers

Answer:

me

Explanation:

In paragraph 3, how does the author’s use of the word “miracle” impact the tone of the text?

Answers

Answer: what paragraph

Explanation:

In paragraph 3, The author's use of the word “miracle” foreshadows the minimal casualties suffered in the battle.

What do you mean by Tone in the text?

The tone of a piece of writing in literature refers to how the author conveys their attitude throughout the text. A piece's tone may remain constant, or it may alter to correspond to a change in the plot or mood. Also, a writer may employ varied tones in the numerous writings they produce.

In fiction, tone refers to the viewpoint character's or narrator's attitude towards the plot's events and other characters. The tone in a first-person narrative can also refer to the narrator's disposition towards the audience. In nonfiction, tone refers to the author's perspective on the topic and audience.

Therefore, The author's use of the word “miracle” foreshadows the minimal casualties suffered in the battle.

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asap please tell answer will give brainliest.​

Answers

D. or B.

It’s either one of those I’ll put a final answer in the comments once I find out which one. Good luck !

. hii guys! can you help me decide what netflix MOVIE i should watch? I will be staying up all night so feel free to give me more than one! thanks! :)

Answers

Answer:

You should watch Eurovision Song Contest: The Story of Fire Saga. It's a really good movie starring Will Ferrel and Rachel Adams. it is a comedy, but the songs are just AMAZING!!

Explanation:

Why is it important to pay attention to conventions of English in a persuasive essay?
1.It helps you write a good rough draft.
2.It makes you appear friendly and engaging.
3.It lends credibility to your paper.
4.It allows you to use sophisticated words to persuade

Answers

Answer:

It allows you to use sophisticated words to persuade

Explanation:

When you write a persuasive essay you want to sound and speak very maturely. Most people will read certain things if the person knows what they are talking about.

Hope this helps you out!  

Answer:

B. It lends credibility to your paper.

Explanation:

A persuasive essay (also called an argumentative essay) is a type of essay written to convince readers to believe in an idea or opinion and perform an action. When writing a persuasive essay, you should use logic and reason to prove that your point of view is the correct one. Your arguments should be supported by convincing facts.

Besides that, it's very important to pay attention to the conventions of the language you are writing your essay in. We are more likely to believe someone who uses correct grammar than someone who makes mistakes. That is how proper language lends credibility to your paper.

Anybody can help plz

Answers

Answer:

nah bc i thought u were ahead

Answer:

I wore a blue scarf to complement the color of my eyes.

Explanation:

It uses the dictionary definition of the word blue which is the color blue.

Is a positive attitude necessary for success? Explain.​

Answers

Answer:

A positive attitude helps you cope more easily with the daily affairs of life. It brings optimism into your life and makes it easier to avoid worries and negative thinking. If you adopt it as a way of life, it would bring constructive changes into your life and makes them happier, brighter, and more successful.

Explanation:

having a positive attitude helps motivate you to reach for your achievements and accomplish them. if you dont have a positive attitude it is less likely that u will be successful because you are not motivated, less productive, less likely to do what to do to be successful

hope it helps nd makes sense:(

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Find the angle between vectors r and s, where |r| = 16, |s| = 9, and r s = 125. = 85.87 = 82.65 = 29.77 = 16.26 pls help asap!!! i need help 3x + 10 =1 A:x=6B=X=3 C:x=-3 13) How do you know when to use the mean or median as the best measure of center? Using the given diagram, solve for x. How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with a side length of 9 meters? What would you say to an immigrant who shares your ancestry and who is coming to the United States to live today? 3. Contextualize. Prompt: Evaluate the extent to which the Industrial Revolution influenced global reform efforts from 1877 to 1922. Write two to three sentences describing a broader historical context that is relevant to the above prompt. After you complete your sample, explain how it meets the essays requirements for contextualization. What was possibly the first book that was studied and led to education? What kind of features would you expect to find in a transitionalfossil between Ichthyostega and Eusthenopteron? Which actions help to protect a computer and keep it running properly? Check all that apply.performing regular scansdeleting any unwanted filesbacking up files and other datasaving Internet browsing historysaving and storing all junk files Lee is making scarfs for a shelter. He purchased 11 skeins of yarns. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf. of the following pair of variables indicate whether you would expect a positive, negative, or no correlation to exist.Maximum daily temperature and cost to coolant house How many points will I get if I get 60 points every 5 mins and it goes on for 4 hours? What is the adjective in the sentence Emily asked Tania if she could borrow her iPad Which of these outcomes is a goal of collaborative discussions about point of view? ASAP!!!! The speed of light is 300,000,000 m/s. What is the frequency of microwaves with a wavelength of 0.01 meter? Name and draw the lewis dot diagram for CuO ype the following sentence and add parentheses or brackets where needed. Add any necessary punctuation marks for clarity. Use exact spelling and correct spacing."I appreciate this the honor truly, but I can't accept it." But does everyone on earth have an equal right to an equal share of its resources? The spaceship metaphor can be dangerous when used by misguided idealists to justifysuicidal policies for sharing our resources through uncontrolled immigration and foreign aid. In their enthusiastic but unrealistic generosity, they confuse theethics of a spaceship with those of a lifeboat.Which words from the passage most suggest that the author wants to appealto the reader's emotions?A. lifeboat, earth, rightB. earth, resources, metaphorC. policies, immigration, aidD. dangerous, misguided, uncontrolled