These structures, which contain a dilated sac called the membranous ampulla and contain a gelatinous cap called a cupula, are oriented in the X, Y, and Z axes, contain a viscous endolymph that drags across cilia and bends hair cells. What three structures are found in the bony labyrinth of the inner ear and allow for balance and spatial orientation?

If the square root of the quantity A times X to the 4th power is equal to 24X squared, what is the value of A? The equation is $$\sqrt{A x^4} = 24 x^2$$ .

Non-English term required. In a series in this style, two sumo wrestlers are carried over a river at one of the fifty-three stations of an imperial road. Prussian Blue was used to create a "Great Wave" in a work of this type, which was part of a series depicting Mount Fuji. Hiroshige depicted stops of the Tokaido road using what method of Japanese woodblock printing?

This organization’s legislative body includes a council appointed by 27 heads of state and a parliament of elected MEPs. The Treaty of Maastricht formed this organization, with most of its members belonging to the free movement Schengen Area. Name this economic and political union whose members include France and Germany.

Psychiatrist Etienne-Jean Georget commissioned this artist’s Portrait of a Kleptomaniac. This artist was accused of using dead bodies as models for a painting depicting 15 survivors of a French shipwreck. A man waving a tattered flag appears at the top of a pyramid-like structure in what artist’s The Raft of the Medusa?

If matrix A has dimensions of 2 by 7 and matrix B has dimensions of 7 by 4, what are the dimensions of the product matrix A times B?

Two word answer required. Hormones such as Indole-3-acetic acid promote this growth pattern by inhibiting growth in lateral buds. This growth pattern focuses on the meristem regions located at the tips of shoots. What is this phenomenon in which plants favor growth in height?

This position was first elected separately in 1804 due to the 12th amendment’s ratification, rather than be given to the winner of the second-most electoral college votes. The holder of this position is president of the Senate and casts its tie-breaking votes. J.D. Vance currently holds what position, second-in-command to the President?

This Roman poet chronicled his exile in his Letters from the Black Sea. He is remembered for his poetic treatise The Art of Love, as well as a work of dactylic hexameter outlining the mythical history of the world. Who is this renowned Latin poet of the long poem Metamorphoses?

A conic section has equation $$5x^2 + 8x - 5y^2 + 7y - 15 = 0$$ . What conic section is represented by this equation?

William Lloyd Garrison published The Liberator, a weekly newspaper advocating for this cause. The U.S. armory at Harpers Ferry was raided by an adherent of this movement, John Brown. The thirteenth amendment enforced what cause that demanded an end to the South’s use of slave labor?

The end of this novel sees Jody Baxter returned to his family and forced to grow up in the "world of men." After Jody’s mother mortally wounds the titular creature for eating their corn crop, Jody is forced to deliver the coup de grace. What is this novel about a boy and an orphaned deer by Marjorie Kinnan Rawlings, winner of the 1939 Pulitzer Prize for the Novel?

This deity was inflicted with sixty diseases when entering the realm of Ereshkigal. This consort of Dumuzi passes through seven gates in a Sumerian legend about this character’s "Descent" into the underworld. The Bull of Heaven was sent to attack Gilgamesh by what Babylonian Goddess of love?

This state is impossible to reach because the third law of thermodynamics says it would require an infinite number of steps to reach it. At this state, thermal motion would halt, but quantum effects would still cause some minimal amount of motion. What is this state in which a system’s internal energy reaches its lowest possible value and is named after the coldest possible temperature at which this occurs?

This molecular geometry is possessed by a compound that contains the first noble gas bonded to an element; that compound is xenon tetrafluoride. This molecular geometry, which has a hybridization of sp3d2, contains bond angles that measure approximately 90 degrees. What molecular geometry has atoms positioned in four corners?

This genre of music largely developed in Puerto Rico at the end of the 20th century in part to its early artists Vico C and others. A beat called “dem bow” is used extensively in this music style that is home to the musician Daddy Yankee. Name this Latin American and Hip Hop fused music style of Bad Bunny.

In this novel’s opening lines, a French-speaking parrot shouts, "Go away! Go away, for heaven’s sake!" Edna Pontellier drowns herself in the Gulf of Mexico after she is ultimately abandoned by her lover Robert Lebrun. What is this Modernist and early feminist work by Kate Chopin?

Vinland was the name these people called North America, centuries before Columbus arrived in the Americas. These people travelled in Longships, conquering places like the British Isles. The Sagas record the history of what people from medieval Scandinavia, often depicted as fierce warriors?

Multiple answers required. Let F of X equal the rational function (x + 4) over the product (x − 3)(x − 2). What are the equations of the vertical asymptotes of F of X?

In this musical, the audience is cruelly told they are about to see a Hungarian disappearing act before the execution of Katalin Hunyak. Spectators are told that "the gin is cold, but the piano's hot" in "a noisy hall" in this musical's opening song "All that Jazz." Roxie Hart and Velma Kelly feature in what musical named for an Illinois city?

One effect of this statement is the decreased solubility of a substance in the presence of a common ion. This statement explains why exothermic reactions produce more product when temperature is decreased. Identify this statement that a system's chemical equilibrium will shift to counteract any changes.

One ruler of this empire instituted an annual beard tax against its Boyars. That leader founded the new capital of this empire in land annexed from Sweden during the Great Northern War, and went on a Grand Embassy across Europe to modernize it. Peter the Great was Tsar of what Eastern European empire?

This man drew on his upbringing for his "play of voices" Under Milk Wood. His poems "Fern Hill" and "And death shall have no dominion" touch on religion and the fleeting nature of life. What Welsh poet authored the famous villanelle "Do Not Go Gentle Into That Good Night"?

A triangle is formed by using vertices located at the origin, (6, 0), and (2, 5). If the triangle is dilated by a factor of 3, centered at the origin, what is the area, in square units, of the dilated triangle?

Suppose a binomial distribution has a 40 percent chance of a success, and there are 10 attempts performed. What is the variance of this binomial distribution?

Pencil and paper ready. Two, 5 ohm resistors, are connected in parallel and are connected to another resistor in series. If the series resistor is 4.5 ohms, what is the total resistance of the circuit in ohms?

This literary technique has a name from the Greek for "cleansing." The term was first mentioned in Aristotle's Poetics as a method by which observers of a work may purge themselves of fear and pity. What is this release of emotion in response to a literary or dramatic work, classically occurring at the end of a tragedy?

This policy was upheld by Korematsu v. U.S. and ordered by Executive Order 9066. This policy relocated 120,000 people from the West Coast to camps like Tule Lake and Manzanar. Franklin Roosevelt instituted what policy of detaining Americans of a certain ethnicity after the attack on Pearl Harbor?

“PAR CANs” utilized in this element of drama originally used halogens before merging into their current form. Barn Doors and Gels are used in this element of drama to enhance visuals. In what element of drama are actors made visible from an otherwise dark stage?

Consider the linear equation 3x − 2x + 5 = 4x + 13. When solved, what is the value of x?

Plays of this type were collected in series like the Wakefield Cycle before their 1534 banning in England. Often performed by local guilds, they focused on providing stage representations of Biblical stories. What are these counterparts of the miracle and morality plays?

The Stanford marshmallow experiment studied these people and found those practicing delayed gratification had better outcomes. Another experiment on these people studied whether they would use violence against Bobo Dolls after watching adults. Psychologists often study what young individuals?

This structure is lined by a single layer of squamous cells called the mesothelium. In protostomes, the mesoderm splits to create this structure but it develops from the archenteron in deuterostomes. Name this fluid-filled body cavity that forms between layers of mesoderm.

A portrait of one of these figures that can be seen at the Doria Gallery features a red robe. Diego Velazquez's portrait of Juan de Pareja inspired "screaming" portraits of these figures drawn by Francis Bacon. A portrait of each of what figures can be found on a side wall of the Basilica of Saint Paul, the most recent of which features Leo XIV?

This artist installed a massive, orange curtain over a Colorado highway in his Valley Curtain. This artist's demonstration at the Arc de Triumphe was for over a year before its performance in 2021 was criticized for its omission of accreditation to this artist's late wife, Jeanne-Claude. The Reichstag was covered in one hundred thousand square meters of fabric by what environmental artist?

State your answer as a fraction. Suppose that 2 fair six-sided dice are rolled. What is the probability that that the sum is less than 5?

This process occurs in a double form as light passes through calcite. This process gives its name to values for different media called the "index of" this property, a value used in Snell's law. What is this phenomenon that causes light to bend as it moves from one medium to another?

The U.S. entered this war within a month of receiving the Zimmerman Telegram, which promised to return the Southwest to Mexico. Sentiment about joining this war shifted after 128 Americans died in the sinking of the Lusitania, but remained opposed by its German population. Woodrow Wilson entered what global war in 1917?

In this short story, egalitarian amendments to the U.S. Constitution require people to wear handicapping items. The titular teenager casts off his handicaps on live television before being shot by Diana Moon Glampers. What is this satirical work by Kurt Vonnegut?

This dramatist parodied Agatha Christie's long-running work The Mousetrap in his The Real Inspector Hound. Voyage, Shipwreck, and Salvage comprise his Coast of Utopia trilogy, while his best-known work examines the roles of two minor Shakespearean characters within their respective work. What Czech-English playwright created an absurdist parody of Hamlet with his Rosencrantz and Guildenstern Are Dead?

This country's Saur Revolution of 1978 established a socialist government. Operation Cyclone saw the U.S. arm this country’s mujahideen to resist that revolution. In 1989, the Soviet Union’s withdrawal after a decade of fighting rebels in what country allowed the Taliban to take control?

A scalene triangle has sides with lengths of X units, 2X units, and 3X minus 4 units. If the perimeter of the triangle is 44 units, what is the value of X?

For this process to occur, an atomic nucleus must bypass the Coulomb barrier. This process, which can come in muon-catalyzed, inertial confinement, and cold types, occurs in the first step of the proton-proton chain in stars. By what process do two lighter elements combine to form a heavier element?

The ballet Mayerling was premiered by this company’s choreographer Kenneth Macmillan. Frederick Ashton choreographed works including Symphonic Variations under this ballet company. Name this ballet company with which Rudolf Nureyev and Dame Margot Fonteyn often performed in London.

This part of a catholic church was pioneered during the Romanesque Era to accommodate growing numbers of altars. These features allow people to move around the sanctuary and access radiating chapels without disrupting services. Traditional Gothic churches feature what covered walkways around a chancel?

This phenomenon is measured as the area between the Lorenz Curve and a 45-degree line to calculate the Gini coefficient. Its increase has been criticized by movements like Occupy Wall Street that oppose the wealth of the top 1%. Give the name of the gap between the rich and the poor.

This work's frame story centers around a drunk man named Christopher Sly. Its true plot sees Petruchio court Katherina through torment and deprivation, leading many modern scholars to label it misogynistic. What play-within-a-play by Shakespeare is titled for an unpleasant, nagging stock character which shares its name with a squeaking insectivore?

Suppose that Y is directly related to the square root of X. If Y equals negative 12 when X equals $$9$$ , what is X when Y equals $$4$$ ?

Pencil and paper please. What is the phenotypic ratio of the offspring resulting from a cross between two pea plants who are heterozygous for both pod color and pod shape?

A temple in Xi’an dedicated to these people holds a temple for its leader’s craft of internal alchemy. A calabash gourd is carried by one of these figures to heal the sick, and these figures live on Mount Penglai. Iron Crutch Li was a member of what numerically named group of people revered in Taoism?

This American poet immortalized his hometown of Gardiner, Maine, in his "Tilbury Town" poems. He won three Pulitzer Prizes for Poetry for collections like Tristram and The Man Who Died Twice. Who was this disillusioned poet of works like "Miniver Cheevy" and "Richard Cory"?

Fire-hardened poles formed the basis of these structures’ walls and arc-shaped roofs. These structures housed matrilineally related families, with up to twenty families occupying one of them. Name these structures with an average length of over eighty feet, built by Eastern Woodlands peoples such as the Iroquois.

A chord, with a length of $$48$$ units, is located $$10$$ units from the center of a circle. What is the length, in units, of the radius of the circle?

While generally taught as using four equations, this field of physics has five equations that can be used. Those equations have five variables in use including initial and final velocity, time, acceleration, and displacement. What is this field of physics that uses a set of equations to describe the motion of an object when the acceleration is constant for a period of time?

The architect of this structure called a separate building named the Studio an "event" on the landscape. The bathroom of this New Canaan building is one of its few parts completed in brick. What see-through Connecticut building was designed by Frank Johnson?

If F of X equals log base $$4$$ of quantity X plus $$3$$ , close quantity, plus $$5$$ , what is F of $$13$$ ?

German chemist Karl Lohmann discovered this molecule in 1929, but its structure was not determined until 1948. About two units of this molecule are produced during the Krebs cycle, and it includes a purine, a ribose, and three phosphates. Name this "energy currency" of the cell, which is produced through cellular respiration.

This anthropologist popularized "off the verandah" fieldwork by participating in his subjects’ daily life. He wrote about the Trobriand people in his principal work, Argonauts of the Western Pacific. Name this Polish anthropologist who wrote about the Kula ring gift exchange ceremony of New Guinea.

This founder of the English novel attacked Samuel Richardson's work Pamela in his own novella, Shamela. His body of picaresque fiction includes Joseph Andrews, as well as the work for which he is most remembered. What 18th-century humorist authored Tom Jones?

In 1888, this country’s Princess Isabella signed the Golden Law ending slavery, making it the last Western hemisphere country to do so. From the House of Braganza, Isabella served as regent for this country’s last emperor, Pedro the Second. Napoleon forced the Portuguese monarchy to flee to what South American country?

One base of an isosceles trapezoid has a length of $$8$$ units, and the midsegment of the trapezoid has a length of $$31$$ units. What is the length, in units, of the other base of the trapezoid?

Two early dances that may have influenced this dance are the Sir Roger de Coverley and the Rinnce Fada. The "Virginia" type of this dance has performers form a line then gallop down the center. Name this Scottish and Irish folk dance set in 2/2 time.

Early in this novel, the protagonist fails to intervene in his half-brother's sexual assault. Amir emigrates to California following the Soviet invasion of Afghanistan, but returns years later to rescue the boy Sohrab from an orphanage in Kabul. What is this debut novel of Afghan-American author Khaled Hosseini?

This quantity can be measured by an apparatus called a Pfeffer cell. It is equal to the van't Hoff factor times molarity times $$RT$$ and this colligative property is symbolized as $$\pi$$ . What pressure is required to counteract the flow of water across a membrane?

What is the limit as X approaches $$3$$ of the quantity, negative $$4X^2$$ , plus $$5X$$ , minus $$2$$ ?

Identify the following sentence’s object complement. On the first Tuesday of November, they elected him governor.

In a failed attempt to end this event, the USS Coral Sea and the USS Nimitz supported Operation Eagle Claw. This event ended minutes after the inauguration of Ronald Reagan. Name this event that lasted 444 days, where 53 Americans were trapped in the U.S. embassy in Tehran.

This “line” marks the end of aeronautics and the beginning of astronautics. Named for the Hungarian scientist who first calculated it, this boundary is approximately 100 km above sea level in the thermosphere and is designated as the boundary between the atmosphere and outer space. Name this demarcation.

The tone of “Non Più Andrai” in this play is created as a mocking response to a character’s “greeting march.” At the beginning of this 20th-century play, an old rival to the title character claims to have poisoned him. Peter Shaffer wrote what play about an Austrian composer’s rivalry with Salieri?

This member of the Hartford Wits was a friend of John Trumbull and Thomas Paine. His long poem The Columbiad was meant to serve as the young nation’s national epic. Who is this early American poet of The Hasty-Pudding?

This environmental process sees the conversion of an ecosystem from r-strategists to k-strategists and ends in a stable group of organisms. It can begin with lichens or other pioneer species in the primary form, or with a flood or fire in the secondary form. Identify this process where an ecological community changes over time.

What is the value of $$\log_4\left(\frac{1}{64}\right)$$ ?

One word answer required. One of these pieces for violin by Jennifer Higdon won the 2010 Pulitzer Prize for music. The grosso version of this musical form uses a small group of soloists. Piano versions of what musical pieces showcase the talents of one soloist accompanied by an orchestra?

Garden Grove is the center of this county’s Little Saigon region, home to the U.S.’s largest Vietnamese population. John Wayne Airport serves this county, whose city of Anaheim is home to Disneyland. Name this traditionally conservative county southeast of Los Angeles.

Consider the angle on the unit circle with a measure of $$150^{\circ}$$ . What is $$\sec^2(150^{\circ})$$ ?

Non-English name required. A single vocalist in this Goethe ballad differentiates timbres to play four distinct characters. Rapid-paced piano triplet octaves open this piece to represent a horse galloping, and this piece’s title creature is depicted as hunting a sick child. An “elf-king” features in what lied by Franz Schubert?

This man’s armies mutinied after he won the Battle of the Hydaspes River, ending his Indian campaign. After crushing Darius III at the Battle of Gaugamela, this man captured Babylon and ended the Achaemenid Persian Empire. One of the largest ancient empires was built by what “great” Macedonian conqueror?

Pen name, please. This author, whose real name was Mary Ann Evans, made her literary debut with the novel Adam Bede. Two of her most famous works are subtitled The Weaver of Raveloe and A Study of Provincial Life. What Realist Victorian author is remembered for her novels Silas Marner and Middlemarch?

One example of this technique uses sodium thiosulfate to determine DO; that test is the Winkler test. Phenolphthalein is a common indicator that changes color at the equivalence point during the acid–base form of this technique. What laboratory technique uses a buret to determine the concentration of a solution?

A documentary covering this event features the band DakhaBrakha in its soundtrack. That documentary, The Porcelain War, sees Slava Leontyev split time between his work with ceramics and as a machine gun trainer. Another documentary called 20 Days in Mariupol centers on what conflict involving refugees from Kiev?

The Greek root iso- appears in words like isomer and isosceles. What is its meaning in English?

Suppose $$\frac{dy}{dx} = \frac{3x^2}{x+y}$$ . What is $$\frac{dy}{dx}$$ at $$(4, 2)$$ ?

This epoch started as glacial retreat accelerated at the end of the last glacial period. It began around 11,700 years ago and, together with the Pleistocene, forms the Quaternary period. What is the name of the current geological epoch?

This politician’s approval rating dropped after restricting the winter fuel payment. This world leader claimed his country risked becoming an “island of strangers,” pushing back on the pro-immigration administration of his predecessor Rishi Sunak. Name this Labour Party current Prime Minister of the U.K.