Math
A rectangle has a length of (7x - 2) units and a width of (3x + 5) units. Find the area of the rectangle in terms of x.
(21x² + 29x − 10)
A compound has molar mass 180g/mol and empirical formula CH₂O. Find its molecular formula.
C₆H₁₂O₆
Spanning multiple decades and generations, the monumental "Rosales Saga" is a five-novel sequence that explores the socioeconomic struggles and colonial history of the Philippines. Which National Artist for Literature penned this epic series?
Francisco Sionil Jose
What fundamental scientific term describes the precise temperature and pressure conditions at which the solid, liquid, and gaseous phases of a pure substance can coexist in a stable, dynamic equilibrium?
Triple point
During the height of the Cold War in 1961, United States President John F. Kennedy authorized a disastrous, covert, CIA-backed invasion attempt by Cuban exiles to overthrow Fidel Castro. By what geographical name is this event known?
The Bays of Pigs Invasion
The ages of four siblings are in the ratio 2 : 3 : 5 : 6. If their total age is 64 years, what is the age of the oldest sibling?
24 years old
A 2.0 L solution of 1.5 M HCl is diluted to 6.0 L. What is the new molarity?
0.5 M
What specific poetic meter, characterized by an unrhymed line with five feet where each foot consists of one short (or unstressed) syllable followed by one long (or stressed) syllable, did John Milton use to write Paradise Lost?
Blank verse (or unrhymed iambic pentameter)
In evolutionary biology and phylogenetics, what term is used to describe a shared, derived character state or trait that is unique to a specific monophyletic clade and distinguishing it from other organisms?
Synapomorphy
Which Roman Emperor, famously known as one of the "Five Good Emperors" and a practitioner of Stoic philosophy, wrote the highly influential personal journal now known as Meditations while on military campaigns?
Marcus Aurelius
A store offers a 15% discount on a jacket originally priced at ₱2,400. After the discount, a 12% VAT is added. What is the final price of the jacket?
2,284.80 pesos
An atom has 35 electrons. Write its condensed electron configuration.
[Ar] 3d¹⁰ 4s² 4p⁵
The prestigious Booker Prize was famously shared in 1922, but a permanent rule change was later enacted to ensure only one winner could be selected per year. However, in 2019, the judges intentionally broke the rules one last time by splitting the award between which two authors?
Margaret Atwood (for The Testaments) and Bernardine Evaristo (for Girl, Woman, Other)
In thermodynamics, what is the term used to describe a theoretical process in which a system changes state without any heat transfer (Q= 0) between the system and its surrounding environment?
Adiabatic process
Spanning a narrow maritime corridor between the Malay Peninsula and the Indonesian island of Sumatra, which highly strategic bottleneck is recognized as one of the busiest and most vital shipping lanes in the world for global trade and oil supply?
Strait of Malacca
A student bought 3 notebooks and 2 pens for ₱140. Another student bought 1 notebook and 4 pens for ₱110. Find the total price of 2 notebooks and 1 pen.
87 pesos
A gas occupies 375 mL at a pressure of 0.85 atm. If the pressure is increased to 2.45 atm at constant temperature, what is the new volume of the gas?
130.1 mL
In poetry, a speaker directly addresses an absent person, an abstract concept, or an inanimate object as though it were capable of responding. This device appears prominently in works such as John Donne’s address to Death and Percy Bysshe Shelley’s invocation of the West Wind. Although often confused with personification, the defining feature lies in the mode of direct address itself. What literary device is being described?
Apostrophe
Within the human immune system, which specific class of cell-surface glycoproteins is responsible for binding to foreign peptide fragments and presenting them to T-cells, playing a critical role in distinguishing "self" from "non-self" and mediating organ transplant rejections?
Major Histocompatibility Complex (MHC) (Accept: Human Leukocyte Antigens / HLA)
After Japan attacked Pearl Harbor in December 1941, the United States formally entered World War II. Several months later, American forces launched a counteroffensive campaign against Japan that included a decisive naval battle often considered the turning point of the Pacific Theater because it significantly weakened Japanese aircraft carrier strength.What battle is being described?
Battle of Midway
A box contains 6 red balls, 5 blue balls, and 7 green balls. Two balls are drawn at random without replacement. What is the probability that both balls drawn are the same color?
36/53
How many grams of NH₃ are produced when 14.0 g of N₂ reacts with excess H₂ in the unbalanced equation: N₂ + H₂ → NH₃ (N = 14g/mol, H = 1g/mol)?
17 g
In Aristotle’s analysis of tragedy, the downfall of a tragic hero does not arise purely from villainy but from a critical flaw or error in judgment. This concept became foundational in later literary criticism and is often illustrated through characters such as Oedipus, Macbeth, or Hamlet, whose own decisions contribute significantly to their destruction. What Greek term refers to this tragic flaw or fatal error?
Hamartia
In astrophysics, what specific term describes the critical radius around a non-rotating, spherically symmetric massive object (such as a black hole) where the escape velocity exactly equals the speed of light, effectively defining its event horizon?
Schwarzschild radius
A political doctrine associated with the medieval Holy Roman Empire asserted that supreme authority was shared between the pope and the emperor, symbolizing the intertwined power of church and state in Christian Europe. This idea was later challenged during conflicts such as the Investiture Controversy, which questioned whether secular rulers or the papacy had the authority to appoint church officials.
What controversy is being referred to?
Investiture Controversy