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Determine:
1. A circunferência do círculo maior 2. A área do círculo menor 3. A área da região sombreada (anel)
Assinale a alternativa que apresenta corretamente os três valores, nessa ordem.
De acordo com as propriedades dos números racionais e irracionais, assinale a alternativa correta.
I. A condição para que o receptor esteja acima da abertura da parábola implica que o coeficiente a seja positivo e que o foco esteja localizado em um valor de y superior ao do vértice.
II. Caso a parábola represente uma antena cujo formato não intercepta o eixo x, conclui-se que o discriminante da equação quadrática associada é negativo, o que corresponde geometricamente a um vértice acima da linha y = 0 para a > 0.
III. III. Se o equipamento exige que todos os sinais paralelos ao eixo de simetria sejam refletidos exatamente para o foco, então a curva deve manter o mesmo coeficiente a independentemente de deslocamentos horizontais, pois tais translações não alteram a distância focal.
Diante desse contexto, pode-se afirmar que apenas:
(k,a) + (n, b) = (k + n, a + b) (k,a)(n, b) = (kn, kb + na + ab),
onde k e n pertencem a ℤ, e a e b pertencem a R. Quais das afirmações abaixo devem ser verdadeiras sobre S?
I. S é um anel com identidade.
II.S possui um subanel isomorfo a R.
III. S é um domínio de integridade (não possui divisores de zero).
1 × 1, 2 × 2, 3 × 4, 4 × 8, 5 × 16, …
é formada pelo produto entre um termo de uma progressão aritmética e um termo correspondente de uma progressão geométrica. O n-ésimo termo e a soma dos n primeiros termos da sequência, correspondem a:
Considere a expressão complexa:
(1+ 2i)(1 + 3i)(2 + i) - 1.
Assinale a alternativa que representa corretamente o valor dessa expressão escrito na forma a + ib.
Mark each one as True (T) or False (F), then choose the correct sequence.
I. ( ) The singer uses metaphors such as “coffee in the morning” and “sunshine in the rain” to express emotional comfort and affection.
II. ( ) When he says “Where you go, I’ll follow,” the singer suggests unconditional commitment to the person he loves.
III. ( ) The lyric “You're the Tylenol I take when my head hurts” is meant to describe the partner as a source of emotional relief.
IV. ( ) The song presents the relationship as fragile and temporary, emphasizing loss and separation.
Choose the correct sequence:
If the moon was Europe, my father was an astronaut who died on his
way to the moon.
My father, the failed moonwalker, blinded by space.
My father, the
Black cosmonaut, frenzied
by thirst. My father who heard the voice of God, clear as the call to
prayer, suspended in that dark desert.
My father who wore a spacesuit slashed by longing, spinning towards
the vast desolate.
On a night when the angels have drawn back their wings, you may
glimpse my father
hurtling through space, his body carried by gravity’s absence, blood
collecting in his head,
his tears pink, gelatinous clots, unable to fall. (2022, Warsan Shire. From: Bless the Daughter Raised by a Voice in Her Head Publisher: Penguin Random house)
In light of the the excerpt from “My Father, the Astronaut” by Warsan Shire, which of the following single words most aptly encapsulates the overarching emotional and symbolic tenor of the passage?
“Do not underestimate others, nor idolize them too much. Be polite, but not perfect. Do things you never imagined before. Do not lie, but do not reveal the whole truth. Dance alone when no one is watching. Have fun while your wolf has not arrived.”— Martha Medeiros
Considering that the metaphor “your wolf” can represent the inevitability of death, it is correct to affirm that:
Sentence: “If he hadn’t ignored the weather warnings, he wouldn’t be stuck at the airport now.”Based on standard conditional forms, this sentence is:

Based on a pragmatic and discourse-analysis perspective, which statement BEST explains the mother’s response pattern and Calvin’s final inference?
“Teacher of language has received the knowledge of linguistic theory to teach language. Linguistics has been used as one of the disciplines which contribute to the theory of language teaching.
The knowledge of linguistic theory has been used as a device to help the language teacher.” Source: Middle-East Journal of Scientific Research 15 (8): Author: Ali Akbar Khansir – Applied Linguistics and English Language Teaching. The discussion emphasizes that Linguistics provides theoretical foundations that support language teachers in understanding linguistic structure, selecting methods, and developing appropriate teaching materials. It also states that the teacher’s role is not to teach theoretical linguistics, but to apply linguistic principles in the classroom. Based on these ideas, analyze the statements below:
I. The global expansion of English increasesthe need for teachers to master linguistic knowledge that supports intercultural communication and effective lesson planning.
II. It is argued that linguists and language teachers perform the same professional role, since both work directly with the scientific description of language.
III. Linguistics, although not offering ready-made teaching methods, provides theoretical principles that help teachers understand how language works and produce suitable learning materials.
IV. Applied Linguistics also includes the study of teaching methods and error-correction strategies related to language learning.
Choose the correct alternative.