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Uma fonte de luz visível e monocromática, imersa em um fluido homogêneo, pode emitir dois raios de luz por dois caminhos distintos. Num dos caminhos a luz parte do ponto A e percorre uma trajetória retilínea até atingir o ponto C. No segundo caminho, a luz emitida do ponto A é refletida no ponto B, por um espelho plano perfeitamente polido, e, em seguida, atinge o ponto C. Conforme pode ser observado na figura a seguir, a distância entre o ponto A e a normal (N), descrita com relação ao espelho, é de 16 km. Admita que num determinado instante t = 0 a fonte é acionada e os raios de luz começam, ao mesmo tempo, a percorrer as trajetórias descritas. Determine a diferença de tempo, em segundos, entre os diferentes percursos até atingir o ponto C.
Considere a velocidade da luz no meio igual a 2.108 m/s.
Os pontos A(2, 2), B(5, 6) e C(8, 1) são os vértices de um
triângulo; os pontos D e E são pontos médios, respectivamente, de 
e 
, e o ponto G é a intersecção de 
e 
. Assim, as
coordenadas de G são
Sejam as matrizes 
Se 
, então x + y é
Choose the alternative that best completes the dialogue:
Mary: Hi, ____ am Mary Smith. ___ am from the USA. What’s your name?
Paul: _____ name is Paul Thompson.
Mary: Nice to meet you. _____ are you from?
Paul: Nice to meet you, too. _____ am from London. And who is ____ woman?
Mary: ____ is Jessica Lopez. ____ is from the USA too.
Change the sentence into the interrogative form.
“The cost of living has doubled in relative terms over recent years.”
Paul Thompson is a student and he has a part-time job, too. He lives in London and goes to university there. Paul works at an Italian restaurant called Mamma Mia. He’s a waiter there. He likes his job very much, but he doesn’t like to work on the weekends. When he is free, he likes to go to the movies. He recently watched “Avengers - Infinity War”, a superhero movie that was a huge success.
Paul Thompson is a student and he has a part-time job, too. He lives in London and goes to university there. Paul works at an Italian restaurant called Mamma Mia. He’s a waiter there. He likes his job very much, but he doesn’t like to work on the weekends. When he is free, he likes to go to the movies. He recently watched “Avengers - Infinity War”, a superhero movie that was a huge success.
An e-mail to Mary
Hi, Mary!
How are you? I miss you so much!
I arrived in Rome last week and I’m having a lot of fun. This morning my parents and I woke up at 8:00 and had a great breakfast at the hotel. Afterwards, I walked a little and saw many tourists (many from Russia and China) and even some famous people!
Now we are going to Venice.
How are things in Las Vegas? Come meet us!
See you soon!
Paul.
An e-mail to Mary
Hi, Mary!
How are you? I miss you so much!
I arrived in Rome last week and I’m having a lot of fun. This morning my parents and I woke up at 8:00 and had a great breakfast at the hotel. Afterwards, I walked a little and saw many tourists (many from Russia and China) and even some famous people!
Now we are going to Venice.
How are things in Las Vegas? Come meet us!
See you soon!
Paul.
All of me
John Legend
‘Cause all of me
Loves all of you
Love your curves and all your edges
All your perfect imperfections
Give your all to me
I’ll give my all to you
You’re my end and my beginning
Even when I lose I’m winning
‘Cause I give you all of me
And you give me all of you
All of me
John Legend
‘Cause all of me
Loves all of you
Love your curves and all your edges
All your perfect imperfections
Give your all to me
I’ll give my all to you
You’re my end and my beginning
Even when I lose I’m winning
‘Cause I give you all of me
And you give me all of you
All of me
John Legend
‘Cause all of me
Loves all of you
Love your curves and all your edges
All your perfect imperfections
Give your all to me
I’ll give my all to you
You’re my end and my beginning
Even when I lose I’m winning
‘Cause I give you all of me
And you give me all of you
“The Little Prince”, now, is a movie
Alex Weiss
An all-time favorite children’s book, The Little Prince by Antoine de Saint-Exupéry has been turned into a beautifully animated movie — and it’s finally being released. The inspiring lessons, timeless story, and beautiful quotes from The Little Prince make this a perfect choice for an on-screen adaptation. At one point or another, your parents read this book to you when you were a child, and then you picked it up later on in life, realizing how incredibly important this small book truly is.
Adapted from: https://www.bustle.com/articles/176416-18-the-little-prince-quotes-to-get-you-pumpedfor-the-movie
In The End
Linkin Park
One thing, I don’t know why
It doesn’t even matter how hard you try
Keep that in mind
I designed this rhyme
To remind myself of a time when
I tried so hard
In spite of the way you were mocking me
Acting like I was part of your property
Remembering all the times you fought with me
I’m surprised it got so
Things aren’t the way they were before
You wouldn’t even recognize me anymore
Not that you knew me back then
But it all comes back to me in the end
You kept everything inside
And even though I tried, it all fell apart
What it meant to me will eventually be a memory of a time when
I tried so hard
And got so far
But in the end
It doesn’t even matter
I had to fall
To lose it all
But in the end
It doesn’t even matter
I’ve put my trust in you
Pushed as far as I can go
For all this
There’s only one thing you should know
I’ve put my trust in you
Pushed as far as I can go
For all this
There’s only one thing you should know
https://www.vagalume.com.br/linkin-park/in-the-end.html
In The End
Linkin Park
One thing, I don’t know why
It doesn’t even matter how hard you try
Keep that in mind
I designed this rhyme
To remind myself of a time when
I tried so hard
In spite of the way you were mocking me
Acting like I was part of your property
Remembering all the times you fought with me
I’m surprised it got so
Things aren’t the way they were before
You wouldn’t even recognize me anymore
Not that you knew me back then
But it all comes back to me in the end
You kept everything inside
And even though I tried, it all fell apart
What it meant to me will eventually be a memory of a time when
I tried so hard
And got so far
But in the end
It doesn’t even matter
I had to fall
To lose it all
But in the end
It doesn’t even matter
I’ve put my trust in you
Pushed as far as I can go
For all this
There’s only one thing you should know
I’ve put my trust in you
Pushed as far as I can go
For all this
There’s only one thing you should know
https://www.vagalume.com.br/linkin-park/in-the-end.html
Rude
Magic
Can I have your daughter for the rest of my life? Say yes, say yes
‘Cause I need to know
You say I’ll never get your blessing till the day I die
Tough luck my friend but the answer is no!
Why you gotta be so rude?
Don’t you know I’m human too
Why you gotta be so rude
I’m gonna marry her anyway
(Marry that girl) Marry her anyway
(Marry that girl) Yeah no matter what you say
(Marry that girl) And we’ll be a family
https://www.vagalume.com.br/magic-11/rude.html
Rude
Magic
Can I have your daughter for the rest of my life? Say yes, say yes
‘Cause I need to know
You say I’ll never get your blessing till the day I die
Tough luck my friend but the answer is no!
Why you gotta be so rude?
Don’t you know I’m human too
Why you gotta be so rude
I’m gonna marry her anyway
(Marry that girl) Marry her anyway
(Marry that girl) Yeah no matter what you say
(Marry that girl) And we’ll be a family
https://www.vagalume.com.br/magic-11/rude.html
Price Tag
Jessie J.
Seems like everybody’s got a price
I wonder how they sleep at night
When the sale comes first
And the truth comes second
Just stop for a minute and smile
Why is everybody so serious
Acting so damn mysterious
Got shades on your eyes
And your heels so high
That you can’t even have a good time
Everybody look to the left
Everybody look to the right
Can you feel that yeah
We’re paying with love tonight
It’s not about the money money money
We don’t need your money money money
We just wanna make the world dance
Forget about the price tag
Ain’t about the uh cha-ching cha-ching
Ain’t about the yeah b-bling b-bling
Wanna make the world dance
Forget about the price tag
https://www.letras.mus.br/jessie-j/1777864/
Price Tag
Jessie J.
Seems like everybody’s got a price
I wonder how they sleep at night
When the sale comes first
And the truth comes second
Just stop for a minute and smile
Why is everybody so serious
Acting so damn mysterious
Got shades on your eyes
And your heels so high
That you can’t even have a good time
Everybody look to the left
Everybody look to the right
Can you feel that yeah
We’re paying with love tonight
It’s not about the money money money
We don’t need your money money money
We just wanna make the world dance
Forget about the price tag
Ain’t about the uh cha-ching cha-ching
Ain’t about the yeah b-bling b-bling
Wanna make the world dance
Forget about the price tag
https://www.letras.mus.br/jessie-j/1777864/
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