← Voltar para a lista de provas Escola Preparatória de Cadetes do Ar (EPCAR) — Comando da Aeronáutica · Exame de Admissão ao 1º Ano do CPCAR 49 questões nesta prova · página 2 de 3 · 46 com gabarito Gabarito disponível Gabarito disponível Sobram 148 mL do segundo frasco, 74% (menos que 75%). Total usado: 3 × 14 × 6 = 252 mL. O primeiro frasco (200 cm³ = 200 mL) é usado inteiro, então do segundo sobram 52 mL usados e 148 mL não usados. 148/200 = 74%, que é menor que 75%. B (75%) e D (76%) não coincidem com 74%. C (maior que 76%) também está errada. Só A é compatível. Referência: Unidades de volume e capacidade (1 cm³ = 1 mL). Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível V – F – V. I: para pares n e n+2, (1/n + 1/(n+2))·(n+2)/2 = (n+1)/n, razão de inteiros consecutivos (V). II: (3−5b)x = a+5b; se b = 3/5 e a ≠ −3 não há solução (F). III: como m+3 < 0, a inequação dá x ≥ 3−m. Sendo m ímpar e m < −3, 3−m é par e positivo (V).
B, C e D erram ao classificar a I como falsa ou a II como verdadeira, ou ao classificar a III como falsa. A II é falsa porque a equação não tem solução para b = 3/5 e a ≠ −3. Referência: Equações e inequações do 1º grau. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível Gabarito disponível Custos de R$ 750 e R$ 250; razão igual a 3. Se ele pagou 2/5 e ainda devia 600, então 3/5 do total valem 600, e o total é R$ 1.000. A receita foi 600 + 525 = 1.125. Sendo a + b = 1000 e 1,2a + 0,9b = 1125, obtém-se 0,3a = 225, logo a = 750 e b = 250. A razão é 750/250 = 3. As razões 5, 4 e 2 não satisfazem simultaneamente o custo total de 1000 e a receita de 1125. Referência: Porcentagem, lucro e prejuízo; sistemas lineares. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível B sozinha leva 240 minutos para produzir n/2 peças. A produz n/2 em 120 min, então seu ritmo é n/240 por minuto. Juntas, A e B produzem n em 160 min, ritmo n/160. Logo B faz n/160 − n/240 = n/480 por minuto, e produzir n/2 leva 240 min. A, B e C não resultam do ritmo de B (n/480 por minuto). 120 min seria o tempo de A para n/2, e 160 min seria o tempo de A e B juntas para n peças. Referência: Problemas de trabalho conjunto (taxas de produção). Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível Questão anulada Gabarito disponível Cyberbullying é uso ofensivo da tecnologia para magoar alguém. O texto mostra que o cyberbullying usa celulares, redes e e-mails para ameaçar e humilhar, podendo até levar ao suicídio. Logo, é um uso ofensivo da tecnologia que deixa alguém irritado ou infeliz. A: a diversão é motivação do agressor, mas isso não define o fenômeno. B: o texto diz que não é inofensivo ("not as inoffensive as many people think"). C: não é uma forma de comunicação popular, e sim uma prática que se tornou comum. Referência: Texto 'Cyberbullying on the Rise', linhas 4-11 e 27-28. Resolução comentada do VaiConcursos. Gabarito disponível As vítimas sofrem bullying por motivos variados. O texto diz que "One of the reasons is..." e que os agressores agem por frustração, raiva, diversão ou tédio. Isso indica que as vítimas sofrem bullying por diferentes razões. A: falta de respeito é atribuída aos bullies, não às vítimas. C: o texto fala da popularidade do cyberbullying, não de vítimas populares. D: irresponsabilidade e frustração são atribuídas aos agressores. Referência: Texto 'Cyberbullying on the Rise', linhas 12-24. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponível A frase apresenta uma razão; a pergunta adequada é com 'Why'. "One of the reasons is the great use of cell phones" responde a uma pergunta sobre causa. Por isso a pergunta correta é "Why do children often practice cyberbullying?". A: 'When' pergunta sobre tempo. B: 'What kind of' pergunta sobre tipo de criança. D: 'How often' pergunta sobre frequência. Nenhuma dessas é respondida pela frase. Referência: Texto 'Cyberbullying on the Rise', linhas 12-15; interrogativos (Wh-questions). Resolução comentada do VaiConcursos. Gabarito disponível Bullies são adolescentes que tratam mal os outros nas redes. O texto define o cyberbullying como o ato de colocar alguém em perigo ou zombar dele por fotos, mensagens e redes sociais. Portanto, bullies são adolescentes que tratam muito mal os outros nas redes sociais. A: bullies são os agressores, não as vítimas, e o texto trata de ataques virtuais, não físicos. B: quem tem medo ou sofre é a vítima. D: o texto não fala de atitude agressiva com pais e professores, que aparecem apenas como fonte de ajuda. Referência: Texto 'Cyberbullying on the Rise', linhas 4-11. Resolução comentada do VaiConcursos. Gabarito disponível Cyberbullying é popular porque os agressores podem ficar anônimos. O texto afirma: "Cyberbullying is getting extremely popular because teens can stay anonymous". Ou seja, os bullies não se mostram, o que corresponde à alternativa A. B: o texto não relaciona os pais das vítimas ao uso de celular como causa. C: os adolescentes querem punir outra pessoa, não a si mesmos. D: "make fun of each other" refere-se a zombarias entre eles, e isso não explica a popularidade do cyberbullying nas redes. Referência: Texto 'Cyberbullying on the Rise', linhas 19-20. Resolução comentada do VaiConcursos. Gabarito disponível Gabarito disponívelEPCAR — Exame de Admissão ao 1º Ano do CPCAR 2016 — Língua Portuguesa, Matemática, Língua Inglesa e Redação — Versão A
Considerando que não há perda no transporte da água, afirma-se que:
I) Pode-se usar qualquer um dos recipientes 100 vezes para encher a caixa.
II) Se os recipientes A, B e C forem usados, respectivamente, 16, 33 e 50 vezes, a caixa ficará com sua capacidade máxima.
III) Após usar 20 vezes cada um dos recipientes, ainda não teremos metade da capacidade da caixa ocupada.
Das afirmativas acima, tem-se que é (são) verdadeira(s)Resolução comentada
Análise das alternativas
I) 
II) 
O valor de 
é um número
( ) Considere dois números pares, consecutivos e não nulos. O produto da soma dos inversos desses números pela metade do maior entre eles é um quociente entre dois números inteiros consecutivos.
( ) Para todo a ∈ ℝ e para todo b ∈ ℝ existe x ∈ ℝ tal que 3x − a = 5bx + 5b
( ) Se m é um número inteiro, ímpar e m < −3, então o menor valor para x, no conjunto solução da inequação m(m + x) ≤ −3(x − 3), é um número par positivo.
Tem-se a sequência correta emResolução comentada
Análise das alternativas
Sabe-se que os lados AB e BC desse terreno medem, respectivamente, 80m e 100m. Assim, a razão entre o perímetro do lote I e o perímetro do lote II, nessa ordem, é
, em que
x e y ∈ ℝ* e x ≠ y e x ≠ −y, é
Após pagar 2/5 do valor dessa compra, quando ainda devia R$ 600,00, resolveu revendê-los.
Com a venda de um dos eletrodomésticos, ele conseguiu um lucro de 20% sobre o custo, mas a venda do outro eletrodoméstico representou um prejuízo de 10% sobre o custo. Com o valor total apurado na revenda, ele pôde liquidar seu débito existente e ainda lhe sobrou a quantia de R$ 525,00.
A razão entre o preço de custo do eletrodoméstico mais caro e o preço de custo do eletrodoméstico mais barato, nessa ordem, é equivalente aResolução comentada
Análise das alternativas
Será possível alcançar a maior altura, 280 m do solo, em dois pontos dessa curva, distantes 900 m um do outro, e a descida atingirá o ponto mais baixo da curva a 30 metros do solo, como se vê na figura.
A distância horizontal entre o centro da roda dianteira do carrinho ① e o centro da roda traseira do carrinho ③ quando esses centros estiverem a 70 m do solo, são
A máquina A funcionando sozinha, mantendo sua velocidade constante, produziria, em 2 horas de funcionamento, n/2 dessas peças.
É correto afirmar que a máquina B, mantendo sua velocidade de produção constante, produziria também n/2 dessas peças emResolução comentada
Análise das alternativas
Sabe-se que o triângulo ABC é retângulo em B e a bissetriz do ângulo reto corta AC no ponto P.
Se B̅C̅ = 6√3 km, então C̅P̅ é, em km, igual a
Se ACE e BDF são triângulos equiláteros, então, a área da parte sombreada, nessa figura, em m², é igual a
Considerando que nenhum desses alunos pratica mais de um esporte, analise as afirmativas abaixo, classificando-as em V (verdadeira) ou F (falsa).
( ) Metade dos atletas gosta de vôlei ou de basquete.
( ) 40% dos atletas preferem futebol.
( ) O número de alunos desta turma é menor que 25
Tem-se a sequência correta em
Directions: Answer questions 33 to 48 according to the text.
TEXT
CYBERBULLYING ON THE RISE
Bullying among children and teenagers is not
something new but it is getting more and more common
by modern methods of communication.
Cyberbullying happens when an adolescent is
[5] put in danger by another child or teenager by photos or
text messages sent to cell phones or posted on social
networks. Sometimes cyberbullies send mails with
sexual comments or take passwords of other teenagers
and log on to websites with false identities. Children also
[10] play Internet games and make fun of each other in many
ways.
A study by a Canadian University shows that
half of the young people interviewed said that they suffer
bullying. One of the reasons is the great use of cell
[15] phones over the past years. Today’s children are
connected with each other electronically. They call
friends every time they want or communicate with them
on Facebook.
Cyberbullying is getting extremely popular
[20] because teens can stay anonymous. Many adolescents
act this way because they feel frustrated or angry and
want to punish somebody for something that happened
to them. At other times they do it just for fun or because
have nothing else to do. Parents usually don’t know their
[25] child is a cyberbully. They perceive it just when the
victim or the victim’s parents contact them.
This kind of bullying is not as inoffensive as
many people think. In some cases it can lead to suicide.
Many countries have organized campaigns to inform
[30] adults and children of its dangers.
There are a few ways to prevent cyberbullying.
First, it is important to show children that they have to
respect others and they are responsible for what they
do. For victims it is important not to play the bully’s game
[35] or answer their emails and text messages. It is also
important to get help from parents and teachers.
Often schools get involved. They bring together
the parents of victims and cyberbullies and talk with
them. Cyberbullying does not always end at school.
[40] Often, parents go to the police and accuse the bullies.
(Adapted from http://www.english-online.at/society/cyberbullying/cyberbullying-on-the-rise.htm)
Cyberbullying is a/anResolução comentada
Análise das alternativas
Directions: Answer questions 33 to 48 according to the text.
TEXT
CYBERBULLYING ON THE RISE
Bullying among children and teenagers is not
something new but it is getting more and more common
by modern methods of communication.
Cyberbullying happens when an adolescent is
[5] put in danger by another child or teenager by photos or
text messages sent to cell phones or posted on social
networks. Sometimes cyberbullies send mails with
sexual comments or take passwords of other teenagers
and log on to websites with false identities. Children also
[10] play Internet games and make fun of each other in many
ways.
A study by a Canadian University shows that
half of the young people interviewed said that they suffer
bullying. One of the reasons is the great use of cell
[15] phones over the past years. Today’s children are
connected with each other electronically. They call
friends every time they want or communicate with them
on Facebook.
Cyberbullying is getting extremely popular
[20] because teens can stay anonymous. Many adolescents
act this way because they feel frustrated or angry and
want to punish somebody for something that happened
to them. At other times they do it just for fun or because
have nothing else to do. Parents usually don’t know their
[25] child is a cyberbully. They perceive it just when the
victim or the victim’s parents contact them.
This kind of bullying is not as inoffensive as
many people think. In some cases it can lead to suicide.
Many countries have organized campaigns to inform
[30] adults and children of its dangers.
There are a few ways to prevent cyberbullying.
First, it is important to show children that they have to
respect others and they are responsible for what they
do. For victims it is important not to play the bully’s game
[35] or answer their emails and text messages. It is also
important to get help from parents and teachers.
Often schools get involved. They bring together
the parents of victims and cyberbullies and talk with
them. Cyberbullying does not always end at school.
[40] Often, parents go to the police and accuse the bullies.
(Adapted from http://www.english-online.at/society/cyberbullying/cyberbullying-on-the-rise.htm)
Victims of cyberbullyingResolução comentada
Análise das alternativas
Directions: Answer questions 33 to 48 according to the text.
TEXT
CYBERBULLYING ON THE RISE
Bullying among children and teenagers is not
something new but it is getting more and more common
by modern methods of communication.
Cyberbullying happens when an adolescent is
[5] put in danger by another child or teenager by photos or
text messages sent to cell phones or posted on social
networks. Sometimes cyberbullies send mails with
sexual comments or take passwords of other teenagers
and log on to websites with false identities. Children also
[10] play Internet games and make fun of each other in many
ways.
A study by a Canadian University shows that
half of the young people interviewed said that they suffer
bullying. One of the reasons is the great use of cell
[15] phones over the past years. Today’s children are
connected with each other electronically. They call
friends every time they want or communicate with them
on Facebook.
Cyberbullying is getting extremely popular
[20] because teens can stay anonymous. Many adolescents
act this way because they feel frustrated or angry and
want to punish somebody for something that happened
to them. At other times they do it just for fun or because
have nothing else to do. Parents usually don’t know their
[25] child is a cyberbully. They perceive it just when the
victim or the victim’s parents contact them.
This kind of bullying is not as inoffensive as
many people think. In some cases it can lead to suicide.
Many countries have organized campaigns to inform
[30] adults and children of its dangers.
There are a few ways to prevent cyberbullying.
First, it is important to show children that they have to
respect others and they are responsible for what they
do. For victims it is important not to play the bully’s game
[35] or answer their emails and text messages. It is also
important to get help from parents and teachers.
Often schools get involved. They bring together
the parents of victims and cyberbullies and talk with
them. Cyberbullying does not always end at school.
[40] Often, parents go to the police and accuse the bullies.
(Adapted from http://www.english-online.at/society/cyberbullying/cyberbullying-on-the-rise.htm)
Directions: Answer questions 33 to 48 according to the text.
TEXT
CYBERBULLYING ON THE RISE
Bullying among children and teenagers is not
something new but it is getting more and more common
by modern methods of communication.
Cyberbullying happens when an adolescent is
[5] put in danger by another child or teenager by photos or
text messages sent to cell phones or posted on social
networks. Sometimes cyberbullies send mails with
sexual comments or take passwords of other teenagers
and log on to websites with false identities. Children also
[10] play Internet games and make fun of each other in many
ways.
A study by a Canadian University shows that
half of the young people interviewed said that they suffer
bullying. One of the reasons is the great use of cell
[15] phones over the past years. Today’s children are
connected with each other electronically. They call
friends every time they want or communicate with them
on Facebook.
Cyberbullying is getting extremely popular
[20] because teens can stay anonymous. Many adolescents
act this way because they feel frustrated or angry and
want to punish somebody for something that happened
to them. At other times they do it just for fun or because
have nothing else to do. Parents usually don’t know their
[25] child is a cyberbully. They perceive it just when the
victim or the victim’s parents contact them.
This kind of bullying is not as inoffensive as
many people think. In some cases it can lead to suicide.
Many countries have organized campaigns to inform
[30] adults and children of its dangers.
There are a few ways to prevent cyberbullying.
First, it is important to show children that they have to
respect others and they are responsible for what they
do. For victims it is important not to play the bully’s game
[35] or answer their emails and text messages. It is also
important to get help from parents and teachers.
Often schools get involved. They bring together
the parents of victims and cyberbullies and talk with
them. Cyberbullying does not always end at school.
[40] Often, parents go to the police and accuse the bullies.
(Adapted from http://www.english-online.at/society/cyberbullying/cyberbullying-on-the-rise.htm)
Mark the option that is the correct question for the sentence “One of the reasons is the great use of cell phones (…)” (lines 14-15)Resolução comentada
Análise das alternativas
Directions: Answer questions 33 to 48 according to the text.
TEXT
CYBERBULLYING ON THE RISE
Bullying among children and teenagers is not
something new but it is getting more and more common
by modern methods of communication.
Cyberbullying happens when an adolescent is
[5] put in danger by another child or teenager by photos or
text messages sent to cell phones or posted on social
networks. Sometimes cyberbullies send mails with
sexual comments or take passwords of other teenagers
and log on to websites with false identities. Children also
[10] play Internet games and make fun of each other in many
ways.
A study by a Canadian University shows that
half of the young people interviewed said that they suffer
bullying. One of the reasons is the great use of cell
[15] phones over the past years. Today’s children are
connected with each other electronically. They call
friends every time they want or communicate with them
on Facebook.
Cyberbullying is getting extremely popular
[20] because teens can stay anonymous. Many adolescents
act this way because they feel frustrated or angry and
want to punish somebody for something that happened
to them. At other times they do it just for fun or because
have nothing else to do. Parents usually don’t know their
[25] child is a cyberbully. They perceive it just when the
victim or the victim’s parents contact them.
This kind of bullying is not as inoffensive as
many people think. In some cases it can lead to suicide.
Many countries have organized campaigns to inform
[30] adults and children of its dangers.
There are a few ways to prevent cyberbullying.
First, it is important to show children that they have to
respect others and they are responsible for what they
do. For victims it is important not to play the bully’s game
[35] or answer their emails and text messages. It is also
important to get help from parents and teachers.
Often schools get involved. They bring together
the parents of victims and cyberbullies and talk with
them. Cyberbullying does not always end at school.
[40] Often, parents go to the police and accuse the bullies.
(Adapted from http://www.english-online.at/society/cyberbullying/cyberbullying-on-the-rise.htm)
Bullies areResolução comentada
Análise das alternativas
Directions: Answer questions 33 to 48 according to the text.
TEXT
CYBERBULLYING ON THE RISE
Bullying among children and teenagers is not
something new but it is getting more and more common
by modern methods of communication.
Cyberbullying happens when an adolescent is
[5] put in danger by another child or teenager by photos or
text messages sent to cell phones or posted on social
networks. Sometimes cyberbullies send mails with
sexual comments or take passwords of other teenagers
and log on to websites with false identities. Children also
[10] play Internet games and make fun of each other in many
ways.
A study by a Canadian University shows that
half of the young people interviewed said that they suffer
bullying. One of the reasons is the great use of cell
[15] phones over the past years. Today’s children are
connected with each other electronically. They call
friends every time they want or communicate with them
on Facebook.
Cyberbullying is getting extremely popular
[20] because teens can stay anonymous. Many adolescents
act this way because they feel frustrated or angry and
want to punish somebody for something that happened
to them. At other times they do it just for fun or because
have nothing else to do. Parents usually don’t know their
[25] child is a cyberbully. They perceive it just when the
victim or the victim’s parents contact them.
This kind of bullying is not as inoffensive as
many people think. In some cases it can lead to suicide.
Many countries have organized campaigns to inform
[30] adults and children of its dangers.
There are a few ways to prevent cyberbullying.
First, it is important to show children that they have to
respect others and they are responsible for what they
do. For victims it is important not to play the bully’s game
[35] or answer their emails and text messages. It is also
important to get help from parents and teachers.
Often schools get involved. They bring together
the parents of victims and cyberbullies and talk with
them. Cyberbullying does not always end at school.
[40] Often, parents go to the police and accuse the bullies.
(Adapted from http://www.english-online.at/society/cyberbullying/cyberbullying-on-the-rise.htm)
Bullying on social networks is popular becauseResolução comentada
Análise das alternativas
Directions: Answer questions 33 to 48 according to the text.
TEXT
CYBERBULLYING ON THE RISE
Bullying among children and teenagers is not
something new but it is getting more and more common
by modern methods of communication.
Cyberbullying happens when an adolescent is
[5] put in danger by another child or teenager by photos or
text messages sent to cell phones or posted on social
networks. Sometimes cyberbullies send mails with
sexual comments or take passwords of other teenagers
and log on to websites with false identities. Children also
[10] play Internet games and make fun of each other in many
ways.
A study by a Canadian University shows that
half of the young people interviewed said that they suffer
bullying. One of the reasons is the great use of cell
[15] phones over the past years. Today’s children are
connected with each other electronically. They call
friends every time they want or communicate with them
on Facebook.
Cyberbullying is getting extremely popular
[20] because teens can stay anonymous. Many adolescents
act this way because they feel frustrated or angry and
want to punish somebody for something that happened
to them. At other times they do it just for fun or because
have nothing else to do. Parents usually don’t know their
[25] child is a cyberbully. They perceive it just when the
victim or the victim’s parents contact them.
This kind of bullying is not as inoffensive as
many people think. In some cases it can lead to suicide.
Many countries have organized campaigns to inform
[30] adults and children of its dangers.
There are a few ways to prevent cyberbullying.
First, it is important to show children that they have to
respect others and they are responsible for what they
do. For victims it is important not to play the bully’s game
[35] or answer their emails and text messages. It is also
important to get help from parents and teachers.
Often schools get involved. They bring together
the parents of victims and cyberbullies and talk with
them. Cyberbullying does not always end at school.
[40] Often, parents go to the police and accuse the bullies.
(Adapted from http://www.english-online.at/society/cyberbullying/cyberbullying-on-the-rise.htm)
Directions: Answer questions 33 to 48 according to the text.
TEXT
CYBERBULLYING ON THE RISE
Bullying among children and teenagers is not
something new but it is getting more and more common
by modern methods of communication.
Cyberbullying happens when an adolescent is
[5] put in danger by another child or teenager by photos or
text messages sent to cell phones or posted on social
networks. Sometimes cyberbullies send mails with
sexual comments or take passwords of other teenagers
and log on to websites with false identities. Children also
[10] play Internet games and make fun of each other in many
ways.
A study by a Canadian University shows that
half of the young people interviewed said that they suffer
bullying. One of the reasons is the great use of cell
[15] phones over the past years. Today’s children are
connected with each other electronically. They call
friends every time they want or communicate with them
on Facebook.
Cyberbullying is getting extremely popular
[20] because teens can stay anonymous. Many adolescents
act this way because they feel frustrated or angry and
want to punish somebody for something that happened
to them. At other times they do it just for fun or because
have nothing else to do. Parents usually don’t know their
[25] child is a cyberbully. They perceive it just when the
victim or the victim’s parents contact them.
This kind of bullying is not as inoffensive as
many people think. In some cases it can lead to suicide.
Many countries have organized campaigns to inform
[30] adults and children of its dangers.
There are a few ways to prevent cyberbullying.
First, it is important to show children that they have to
respect others and they are responsible for what they
do. For victims it is important not to play the bully’s game
[35] or answer their emails and text messages. It is also
important to get help from parents and teachers.
Often schools get involved. They bring together
the parents of victims and cyberbullies and talk with
them. Cyberbullying does not always end at school.
[40] Often, parents go to the police and accuse the bullies.
(Adapted from http://www.english-online.at/society/cyberbullying/cyberbullying-on-the-rise.htm)
Uma caixa de capacidade 6,4 m³ deve ser abastecida com água. Abaixo estão representados três recipientes que podem ser utilizados para esse fim.
Uma pessoa vai tomar um medicamento 3 vezes ao dia, durante 14 dias, em doses de 6 mL cada vez. Se cada frasco contém 200 cm³ do medicamento, a quantidade do segundo frasco que NÃO será utilizada é
Sobre os números reais positivos a, b, c, d, p e q, considere as informações abaixo:
Analise as afirmativas seguintes e classifique-as em V (verdadeira) ou F (falsa).
Um terreno com formato de um triângulo retângulo será dividido em dois lotes por uma cerca feita na mediatriz da hipotenusa, conforme mostra figura.
O valor da expressão
O dono de uma loja de produtos seminovos adquiriu, parceladamente, dois eletrodomésticos.
Uma das curvas radicais de uma montanha russa será construída de modo que, quando observada, perceba-se a forma de uma parábola como mostra a figura.
Duas máquinas A e B de modelos diferentes, mantendo cada qual sua velocidade de produção constante, produzem juntas n peças iguais, gastando simultaneamente 2 horas e 40 minutos.
As cidades A, B e C situam-se às margens de um rio e são abastecidas por uma bomba situada em P, conforme figura abaixo.
Na figura abaixo A, B, C, D, E e F são vértices de um hexágono regular inscrito numa circunferência de raio 1 metro e centro O.
Numa turma de x alunos, 2/3 são atletas e suas preferências por modalidades esportivas estão expressas no gráfico abaixo.
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