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What is the distance between the points negative 2 comma 1 and 4 comma 9? 10 seconds

What is the magnitude of a two-dimensional vector whose components are 9 and 12? 10 seconds

A bag contains 4 red and 3 blue tokens. Two tokens are drawn without replacement. What is the probability that both are red? 10 seconds

Let f of x equal four x minus nine. What is f inverse of 19? 10 seconds

Snell's law relates the incident and transmitted angles produced during this phenomenon. It occurs because a wave changes speed while crossing into a different medium. A partly submerged straw appears bent because light undergoes this process. Name this bending of a wave at a boundary.

Its independent formulation by Alfred Russel Wallace prompted a joint presentation in 1858. This mechanism changes allele frequencies when heritable traits affect reproductive success. Charles Darwin used it to explain how populations become adapted to their environments. Name this mechanism of evolution through differential survival and reproduction.

Slow cooling underground produces intrusive examples, while rapid surface cooling produces extrusive ones. Interlocking mineral crystals in these rocks form as molten material cools and solidifies. Granite and basalt belong to this major rock class formed from magma or lava. Name this class of rock.

Orbital overlap gives this bond directional character in many molecular geometries. It commonly forms between nonmetal atoms whose electronegativity difference is relatively small. In this bond, atoms achieve stability by sharing one or more electron pairs. Name this type of chemical bond formed by shared electrons.

In this system, concurrent powers may be exercised by more than one level of government. Constitutions often distinguish national enumerated powers from powers reserved to regional governments. The United States uses this arrangement, which divides authority between national and state governments. Name this system of divided governmental power.

Differential heating of land and ocean helps reverse the prevailing winds associated with this circulation. Its seasonal shift can create a wet summer and a much drier winter. Agriculture in South Asia depends heavily on rains delivered by this wind system. Name this seasonal wind and rainfall pattern.

Dependent origination and the doctrine of no permanent self are teachings of this tradition. Its Four Noble Truths diagnose suffering and prescribe the Eightfold Path. Siddhartha Gautama founded this religion, whose ultimate goal is nirvana. Name this major Asian religion and philosophy.

Its charter took effect in 1945 after delegates met in San Francisco. Its Security Council gives veto power to five permanent members. Headquartered in New York, this organization was created after World War II to promote peace and cooperation. Name this international organization.

Its many chapters portray courtship, poetry, and political rank in Japan's Heian court. A court lady conventionally known as Murasaki Shikibu wrote this work around the early eleventh century. Its shining prince pursues many relationships before later chapters shift to Kaoru and Niou. Name this early Japanese novel.

The eyes of Doctor T. J. Eckleburg overlook a desolate valley in this novel. Its narrator, Nick Carraway, rents a house beside a mysterious millionaire's mansion. A green light across the bay symbolizes Gatsby's longing for Daisy in this F. Scott Fitzgerald novel. Name this novel set during the Jazz Age.

A line in this meter normally contains five repetitions of a two-syllable foot. Each regular foot moves from an unstressed syllable to a stressed one. Many English sonnets and much of Shakespeare's blank verse use this rhythm. Name this five-foot poetic meter.

Roger Chillingworth hides his identity while seeking revenge on the minister Arthur Dimmesdale. Pearl is the daughter of a woman forced to wear a decorated red letter. Hester Prynne faces judgment in Puritan Boston in this novel by Nathaniel Hawthorne. Name this novel about sin and public shame.

Its score layers ostinatos and shifting accents over an imagined ancient pagan ceremony. Vaslav Nijinsky choreographed its original Ballets Russes production. A famously disruptive 1913 Paris premiere greeted this ballet by Igor Stravinsky. Name this ballet depicting a ritual sacrifice.

Blue notes, call-and-response patterns, and syncopation shape many performances in this musical tradition. Improvisers often create new melodic lines over repeating chord changes. This American genre developed from Black musical traditions in and around New Orleans. Name this musical genre.

Its analytic phase used subdued colors and fragmented forms, while its synthetic phase incorporated collage. Objects in this movement can appear from several viewpoints at once. Pablo Picasso and Georges Braque pioneered this movement built from geometric planes. Name this early twentieth-century art movement.

Actors in this theater may freeze in stylized mie poses at dramatic moments. A raised hanamichi walkway carries performers through the audience toward the stage. Elaborate makeup and highly codified movement characterize this traditional Japanese theater form. Name this Japanese theatrical tradition.