Questõesde UNICAMP 2015
Considere a matriz quadrada de ordem 3,
, onde x é um número real.
Podemos afirmar que
Considere a matriz quadrada de ordem 3,
, onde x é um número real.
Podemos afirmar que
Seja (a,b,c) uma progressão geométrica de números
reais com a ≠ 0 . Definindo s = a + b + c , o menor valor
possível para s/ a é igual a
Seja (a,b,c) uma progressão geométrica de números
reais com a ≠ 0 . Definindo s = a + b + c , o menor valor
possível para s/ a é igual a
Considere a função afim f (x) = ax + b definida para todo
número real x , onde a e b são números reais. Sabendo
que f (4)= 2, podemos afirmar que f (f (3) + f(5)) é igual a
Considere o gráfico da função y = f(x ) exibido na figura a
seguir.
O gráfico da função inversa y = f-1(x)é dado por
Considere o gráfico da função y = f(x ) exibido na figura a seguir.
O gráfico da função inversa y = f-1(x)é dado por
A solução da equação na variável real x , logx (x + 6) = 2 , é um número
Em uma matriz, chamam-se elementos internos aqueles
que não pertencem à primeira nem à última linha ou
coluna. O número de elementos internos em uma matriz
com 5 linhas e 6 colunas é igual a
Uma moeda balanceada é lançada quatro vezes, obtendo-se
cara exatamente três vezes. A probabilidade de que as
caras tenham saído consecutivamente é igual a
O gráfico abaixo exibe o lucro líquido (em milhares de
reais) de três pequenas empresas A, B e C, nos anos de
2013 e 2014.
Com relação ao lucro líquido, podemos afirmar que
O gráfico abaixo exibe o lucro líquido (em milhares de reais) de três pequenas empresas A, B e C, nos anos de 2013 e 2014.
Com relação ao lucro líquido, podemos afirmar que
Que mudanças no comportamento dessas pessoas são
decorrentes da adaptação à tecnologia apresentada no
texto?
We’ve modified our behavior so we can text and walk
Texting – or checking social media or reading/responding to mail or reading the news or checking the weather or watching a video – while walking is a pretty common phenomenon. It’s so common that most people who own a mobile device have become texting walkers.
Research suggests that these texters adopt protective measures to minimize the risk of accidents when walking. They’re less likely to trip because they shorten their step length, reduce step frequency, lengthen the time during which both feet are in contact with the ground, and increase obstacle clearance height. Taken together this creates an exaggerated image of walking, but it apparently slows the walker enough so that he registers some of what is happening around him and can compensate for it.
(Adaptado de http://blogs.scientificamerican.com/anthropology-in-practice/we-ve-modified-our-behavior-so-we-can-text-and-walk/.)
If apes go extinct, so could entire forests
Bonobos eat a lot of fruit, and fruit contains seeds.
Those seeds travel through a bonobo’s digestive system
while bonobo itself travels around the forest. A few hours
later, the seeds end up being deposited far from where the
fruits were plucked. And that is where the new trees come
from.
According to a paper recently published, if the
bonobos disappeared, the plants would also likely go
extinct, for many trees and plants species in Congo rely
almost exclusively on bonobos for seed dispersal.
The bonobo has two major functions here. First of all,
many seeds will not germinate well unless they have been
“handled” by another species. Stomach acids and intestinal
processes make the seed more able to absorb water and
later sprout.
Secondly, many seeds will not succeed if they remain
too close to their parental trees. The seeds that fell to the
ground near their parents did not survive because they
were choked off by the nearby plants. The bonobos eat
about 3,5 hours every day and travel a mean of 1.2
kilometers from meal sites before defecating.
(Adaptado de http://blogs.scientificamerican.com/extinction-countdown
/if-apes-go-extinct-so-could-entire-forests/.)
Qual é a explicação para o título?
If apes go extinct, so could entire forests
Bonobos eat a lot of fruit, and fruit contains seeds. Those seeds travel through a bonobo’s digestive system while bonobo itself travels around the forest. A few hours later, the seeds end up being deposited far from where the fruits were plucked. And that is where the new trees come from.
According to a paper recently published, if the bonobos disappeared, the plants would also likely go extinct, for many trees and plants species in Congo rely almost exclusively on bonobos for seed dispersal.
The bonobo has two major functions here. First of all, many seeds will not germinate well unless they have been “handled” by another species. Stomach acids and intestinal processes make the seed more able to absorb water and later sprout.
Secondly, many seeds will not succeed if they remain too close to their parental trees. The seeds that fell to the ground near their parents did not survive because they were choked off by the nearby plants. The bonobos eat about 3,5 hours every day and travel a mean of 1.2 kilometers from meal sites before defecating.
(Adaptado de http://blogs.scientificamerican.com/extinction-countdown /if-apes-go-extinct-so-could-entire-forests/.)
Qual é a explicação para o título?
Segundo o texto, “Texting walkers” são pessoas que
We’ve modified our behavior so we can text and walk
Texting – or checking social media or reading/responding to mail or reading the news or checking the weather or watching a video – while walking is a pretty common phenomenon. It’s so common that most people who own a mobile device have become texting walkers.
Research suggests that these texters adopt protective measures to minimize the risk of accidents when walking. They’re less likely to trip because they shorten their step length, reduce step frequency, lengthen the time during which both feet are in contact with the ground, and increase obstacle clearance height. Taken together this creates an exaggerated image of walking, but it apparently slows the walker enough so that he registers some of what is happening around him and can compensate for it.
(Adaptado de http://blogs.scientificamerican.com/anthropology-in-practice/we-ve-modified-our-behavior-so-we-can-text-and-walk/.)
Para lidar com a situação, a estratégia adotada foi deixar
de se preocupar e
Advice for new students from those who know (old students)
The first day of college I was a ball of nerves. I remember walking into my first class and running to the first seat I found, thinking everyone would be staring at me. But nobody seemed to notice and then it hit me: The fact that nobody knew me meant nobody would judge, which, upon reflection, was what I was scared of the most. I told myself to let go. All along the year, I forced myself into situations that were uncomfortable for me – for example, auditioning for a dance piece. Believe it or not, that performance was a highlight of my freshman year. My advice: challenge yourself to try something new, something you couldn’t have done in high school. – Ria Jagasia, Vanderbilt University, ’18.
(Adaptado de http://www.nytimes.com/2015/08/02/ education/edlife/ advice-for-new-students-from-those-who-know-old-students.html?ref= edlife.)
No primeiro dia de faculdade, Ria ficou muito nervosa
Advice for new students from those who know (old students)
The first day of college I was a ball of nerves. I remember walking into my first class and running to the first seat I found, thinking everyone would be staring at me. But nobody seemed to notice and then it hit me: The fact that nobody knew me meant nobody would judge, which, upon reflection, was what I was scared of the most. I told myself to let go. All along the year, I forced myself into situations that were uncomfortable for me – for example, auditioning for a dance piece. Believe it or not, that performance was a highlight of my freshman year. My advice: challenge yourself to try something new, something you couldn’t have done in high school. – Ria Jagasia, Vanderbilt University, ’18.
(Adaptado de http://www.nytimes.com/2015/08/02/ education/edlife/ advice-for-new-students-from-those-who-know-old-students.html?ref= edlife.)
O texto anuncia um
O texto anuncia um
Na tirinha, Calvin dá dicas sobre como
Na tirinha, Calvin dá dicas sobre como
"If you believe in freedom of speech, you believe in freedom
of speech for views you don’t like. Goebbels was in favor of
freedom of speech for views he liked. So was Stalin. If
you’re in favor of freedom of speech, that means you’re in
favor of freedom of speech precisely for views you
despise."
(NoamChomsky)
(Fonte: http://noam-chomsky.tumblr.com/post/7223808896/if-youbelieve-in-freedom-of-speech-you-believe.)
O autor do texto
"If you believe in freedom of speech, you believe in freedom of speech for views you don’t like. Goebbels was in favor of freedom of speech for views he liked. So was Stalin. If you’re in favor of freedom of speech, that means you’re in favor of freedom of speech precisely for views you despise."
(NoamChomsky)
(Fonte: http://noam-chomsky.tumblr.com/post/7223808896/if-youbelieve-in-freedom-of-speech-you-believe.)
O autor do texto
A tira tematiza a contribuição da atividade humana para a
deterioração do meio ambiente. Do diálogo apresentado,
pode-se depreender que os ursos já sabiam
A tira tematiza a contribuição da atividade humana para a deterioração do meio ambiente. Do diálogo apresentado, pode-se depreender que os ursos já sabiam
Os compostos (NH4)H2PO4 e NaHCO3 são usados em extintores como agentes de combate ao fogo. Quando lançados sobre uma chama, ocorrem as seguintes transformações:
(NH4)H2PO4 → NH3 + H3PO4
H3PO4 → polifosfato (viscoso)
NaHCO3 → CO2 + H2O + Na2CO3 (particulado).
No combate a todos os tipos de incêndio, a nuvem formada
de gás é importante, mas naqueles envolvendo materiais
sólidos, o depósito do material oriundo da transformação
do agente de combate sobre o combustível tem papel
decisivo. Assim, o agente (NH4)H2PO4 pode substituir o
NaHCO3 em qualquer situação, mas o contrário não é
verdade. Isso permite concluir que no combate ao incêndio
que envolve
Os compostos (NH4)H2PO4 e NaHCO3 são usados em extintores como agentes de combate ao fogo. Quando lançados sobre uma chama, ocorrem as seguintes transformações:
(NH4)H2PO4 → NH3 + H3PO4
H3PO4 → polifosfato (viscoso)
NaHCO3 → CO2 + H2O + Na2CO3 (particulado).
No combate a todos os tipos de incêndio, a nuvem formada
de gás é importante, mas naqueles envolvendo materiais
sólidos, o depósito do material oriundo da transformação
do agente de combate sobre o combustível tem papel
decisivo. Assim, o agente (NH4)H2PO4 pode substituir o
NaHCO3 em qualquer situação, mas o contrário não é
verdade. Isso permite concluir que no combate ao incêndio
que envolve