Assinale a proposição CORRETA.
Um ciclista costuma dar 30 voltas completas por dia no quarteirão quadrado onde mora, cuja
área é de 102400 m2
. Então, a distância que ele pedala por dia é de 19200 m.
Assinale a proposição CORRETA.
Se a, b e c são raízes reais da equação x3
– 20x2 + 125x – 250 = 0, então o valor de
log
(1/a + 1/b + 1/c) é nulo.
Assinale a proposição CORRETA.
Suponha que “Chevalier de Mére”, um jogador francês do Século XVII, que ganhava a vida
apostando seu dinheiro em jogos de dados, decidiu apostar que vai sair um “3” no
lançamento de um dado perfeito de seis faces numeradas de 1 a 6. Com relação a esse
experimento, há dois resultados possíveis: ou sai “3” e Chevalier ganha, ou não sai “3” e ele
perde. Cada um destes resultados – “sai um 3” ou “não sai um 3” – tem a mesma
probabilidade de ocorrer.
Assinale a proposição CORRETA.
Para que a função P(x) = x2 + px seja divisível por 4x – 1, é necessário que p seja igual a 1/4 .
Assinale a proposição CORRETA.
Se 3n
= 5, então 
.
Assinale a proposição CORRETA.
O valor de x para que os pontos A(3, –5), B(x,9) e C(0,2) sejam colineares é 3.
Assinale a proposição CORRETA.
Se
A, B, C são matrizes inversíveis, então [(AB-1)-1 .(AC)]-1 .B = C.
Assinale a proposição CORRETA.
Se 
então 
.
Assinale a proposição CORRETA.
Se
det A = 8
para 
, então
det B = 8
para 
.
Assinale a proposição CORRETA.
As soluções do sistema homogêneo 
são ternas ordenadas do tipo
(a,b,c) com
(a + b + c) múltiplo de 11.
Assinale a proposição CORRETA.
O valor de x na equação
3+5+7 +...+ x = 440
, sabendo que as parcelas do primeiro membro
formam uma progressão aritmética, é 41.
Assinale a proposição CORRETA.
O primeiro termo da progressão geométrica em que
a3 = 15
e a6 = 5/9 é 135.
Assinale a proposição CORRETA.
A reta t de equação
4x+3y-6 = 0
é tangente à circunferência C de equação (x - 4)2 + y2 = 4 e perpendicular à reta s de equação
4x-3y+2 = 0 .
Assinale a proposição CORRETA.
As circunferências C de equação
x2 + y2 - 2x - 10y + 22 = 0 e C’ de equação
x2 + y2 - 8x - 4y +10 = 0 são secantes.
Assinale a proposição CORRETA.
A reta que passa pela origem e pelo ponto médio do segmento AB com A=(0,3) e B=(5,0) tem coeficiente angular 3/5 .
Assinale a proposição CORRETA.
As sequências (4, 7, 10, ...) e (5, 10, 15, ...) são duas progressões aritméticas com 50
termos cada uma. A quantidade de termos que pertencem a ambas as sequências é 15.
Select the proposition(s) which contains (contain) CORRECT references to the following words, underlined in text 2:
they (paragraph 4) → institutions
Text 2
The Living Library
1. From the mid 40's to the 70's, many big cities in Brazil expanded because of internal migrations. During those years, with the intensification of social problems, many nongovernmental organizations were created and many existing Community Centers increased their activities to provide nonformal education for children and adolescents after school hours.
2. The "Living Library" is a two-year project that aims at making the act of reading and writing as an everyday activity for poor children and their teachers. This would mean fewer failures in elementary school and more children learning about their reality and how to change it. These "libraries" are being implanted in Community Centers in charge of children and adolescents living in the poor districts of the peripheral area of the big cities, where huge slums and acute social problems are concentrated. To achieve its objective the Project team provides personal development for the community teachers by preparing them to work with books and reading activities in the context of poverty and deprivation of their institutions. Each library is unique, taking into account the needs and the culture of the community where it is located.
3. Forty-four institutions took part in the selective process. Among those, 10 were chosen to receive the library: two in Brasília and eight in São Paulo. Fourteen community teachers went through a 44 hour training program. The first 10 libraries received 4,000 books directly benefiting 2,500 children and adolescents.
4. The first 10 libraries were implanted and are open to the community. They attend institutions that look after street children from slums in the suburbs, children living in poor houses downtown, children living in shelters, who have no parents or are temporarily separated from them.
From: <http://www.unesco.org/most/southam7.htm>
Select the proposition(s) which contains (contain) CORRECT references to the following words, underlined in text 2:
them (paragraph 2) → community teachers
Text 2
The Living Library
1. From the mid 40's to the 70's, many big cities in Brazil expanded because of internal migrations. During those years, with the intensification of social problems, many nongovernmental organizations were created and many existing Community Centers increased their activities to provide nonformal education for children and adolescents after school hours.
2. The "Living Library" is a two-year project that aims at making the act of reading and writing as an everyday activity for poor children and their teachers. This would mean fewer failures in elementary school and more children learning about their reality and how to change it. These "libraries" are being implanted in Community Centers in charge of children and adolescents living in the poor districts of the peripheral area of the big cities, where huge slums and acute social problems are concentrated. To achieve its objective the Project team provides personal development for the community teachers by preparing them to work with books and reading activities in the context of poverty and deprivation of their institutions. Each library is unique, taking into account the needs and the culture of the community where it is located.
3. Forty-four institutions took part in the selective process. Among those, 10 were chosen to receive the library: two in Brasília and eight in São Paulo. Fourteen community teachers went through a 44 hour training program. The first 10 libraries received 4,000 books directly benefiting 2,500 children and adolescents.
4. The first 10 libraries were implanted and are open to the community. They attend institutions that look after street children from slums in the suburbs, children living in poor houses downtown, children living in shelters, who have no parents or are temporarily separated from them.
From: <http://www.unesco.org/most/southam7.htm>
Select the proposition(s) which contains (contain) CORRECT references to the following words, underlined in text 2:
it (paragraph 2) → reality
Text 2
The Living Library
1. From the mid 40's to the 70's, many big cities in Brazil expanded because of internal migrations. During those years, with the intensification of social problems, many nongovernmental organizations were created and many existing Community Centers increased their activities to provide nonformal education for children and adolescents after school hours.
2. The "Living Library" is a two-year project that aims at making the act of reading and writing as an everyday activity for poor children and their teachers. This would mean fewer failures in elementary school and more children learning about their reality and how to change it. These "libraries" are being implanted in Community Centers in charge of children and adolescents living in the poor districts of the peripheral area of the big cities, where huge slums and acute social problems are concentrated. To achieve its objective the Project team provides personal development for the community teachers by preparing them to work with books and reading activities in the context of poverty and deprivation of their institutions. Each library is unique, taking into account the needs and the culture of the community where it is located.
3. Forty-four institutions took part in the selective process. Among those, 10 were chosen to receive the library: two in Brasília and eight in São Paulo. Fourteen community teachers went through a 44 hour training program. The first 10 libraries received 4,000 books directly benefiting 2,500 children and adolescents.
4. The first 10 libraries were implanted and are open to the community. They attend institutions that look after street children from slums in the suburbs, children living in poor houses downtown, children living in shelters, who have no parents or are temporarily separated from them.
From: <http://www.unesco.org/most/southam7.htm>
Select the proposition(s) which contains (contain) CORRECT references to the following words, underlined in text 2:
its (paragraph 2) → personal development
Text 2
The Living Library
1. From the mid 40's to the 70's, many big cities in Brazil expanded because of internal migrations. During those years, with the intensification of social problems, many nongovernmental organizations were created and many existing Community Centers increased their activities to provide nonformal education for children and adolescents after school hours.
2. The "Living Library" is a two-year project that aims at making the act of reading and writing as an everyday activity for poor children and their teachers. This would mean fewer failures in elementary school and more children learning about their reality and how to change it. These "libraries" are being implanted in Community Centers in charge of children and adolescents living in the poor districts of the peripheral area of the big cities, where huge slums and acute social problems are concentrated. To achieve its objective the Project team provides personal development for the community teachers by preparing them to work with books and reading activities in the context of poverty and deprivation of their institutions. Each library is unique, taking into account the needs and the culture of the community where it is located.
3. Forty-four institutions took part in the selective process. Among those, 10 were chosen to receive the library: two in Brasília and eight in São Paulo. Fourteen community teachers went through a 44 hour training program. The first 10 libraries received 4,000 books directly benefiting 2,500 children and adolescents.
4. The first 10 libraries were implanted and are open to the community. They attend institutions that look after street children from slums in the suburbs, children living in poor houses downtown, children living in shelters, who have no parents or are temporarily separated from them.
From: <http://www.unesco.org/most/southam7.htm>