- - - - -_a_diameter_with - - ~ xy A circle in the -plane has endpoints (2,4) and (2,14). An equation of this (x−2)^2 +(y−9)^2 = circle is r^2, where r is a positive constant. What is the value of r?
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- - - -_3y_+12x_=_5_. - -_Line_n -_is ~ ℓ Line is defined by ℓ perpendicular to line in the xy-plane. What is the slope of line n?
–5x+13 = 73 What is the sum of the solutions to the given equation? −
f(1) For the exponential function f, the value of is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base? f(x) = 50(1.6)^x^+1
−9x^2 +30x+c = 0 In the given equation, c is a constant. The equation has exactly one solution. What is the value of c? 3
Which of the following expressions has a factor of x+2b, where b is a positive integer constant? 3x^2 +7x+14b
- Data Set A Data Set B 12 12~----- 10-+----- 10 ~ ~ 8 8+------i g. g. 6 6+---l ~ 4 ~ 4-+-~--t µ. µ. 2 2 ~ 0_10_20 0-+--+---+---+---+---+ I 30 40 50 60 10 20 30 40 50 60 Integer Integer Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?
- - - -_an_equilateral_triangle_is - - - - - ~ The perimeter of 624 centimeters. The height of this triangle is k 3 centimeters, where k is a constant. What is the value of k? OP
y, 1p I 8 ~ I I 6, ' I 4 ~ I I, 2 J I, I ~ 8_.=6-.=4-.=2 4 _ _ 6_ _8_^X IU, 2 J I 4 ' I I I, "' The graph shows the linear relationship between x and y. Which table gives three values of xand their corresponding values of yfor this relationship?
What is the perimeter, in inches, of a rectangle with a length of 4 inches and a width of 9 inches?
7m = 2(n +p) The given equation relates the positive numbers m, n, and p. Which equation correctly gives m in terms of n and p? =
73, 74, 75, 77, 79, 82, 84, 85, 91 What is the median of the data shown?
f(x) = 4x The function f is defined by. For what value of x does f(x) = 8?
- - - - - -_size_large._What - ~ Of 300,000 paper clips, 234,000 are percentage of the paper clips are size large? 22%
= 8x+4 f(x) The function f gives the estimated height, in feet, of a willow tree x years after its height was first measured. Which statement is the best interpretation of 4 in this context?
1 Ezra Pound’s poetry can be hard to b l a n k: it is dense, experimental, and so full of references and allusions that many readers have a difficult time even identifying the poems’ subjects. Which choice completes the text with the most logical and precise word or phrase?
10 The average age at which people in the United States start businesses is 35. Economist Andrés Hincapié studied why young adults are relatively less likely to start businesses and whether there are ways to increase entrepreneurship in early adulthood. Hincapié found that one impediment is lack of knowledge about the practical details of how businesses are started; he further found that simply providing young adults with good informational resources on the topic significantly alleviates this problem. Based on the text, what would Hincapié most likely say is a promising way to increase entrepreneurship in early adulthood?
11 Few animals are known to spit: among them are humans, cobras, and camels. But in January 2022 at a nature preserve in southern England, bird-watcher Clare Jacobs observed a gray seal spitting a jet of water at a white-tailed eagle flying overhead. Seals had never been seen spitting before. Biologist Sean Twiss, who studies gray seals, believes that the seal may have been attempting to scare the eagle away from a food source or that the seal may have just been playing. Which choice best states the main topic of the text?
12 The following text is from Mark Haber’s 2022 novel Saint Sebastian’s Abyss. The narrator and Schmidt are both art critics. When my first wife admitted to Schmidt over dinner that she didn’t find art, painting in particular, especially compelling, Schmidt winced, set down his fork, and sighed dramatically; he then excused himself, explaining an appointment he’d forgotten about had suddenly and inexplicably been remembered, while making it abundantly clear there was no appointment at all. ©2022 by Mark Haber Based on the text, what is notable about Schmidt’s behavior?
13 The following text is from Mick Herron’s 2023 novel The Secret Hours. The narrator is describing members of a government committee. Finally, and adding much-needed gravitas, was Sir Winston Day, whose features seemed moulded to adorn a bust, or possibly a stamp, and whose forehead was so evidently bulging with grey matter that it would have been impertinent to inquire too closely into the actual achievements his half century of public service had produced. His recently published memoirs possibly cast light on this enigma, but given that such details were not provided until after the thirty-page mark, they might as well have remained state secrets. ©2023 by Mick Herron Based on the text, which choice best describes Sir Winston Day?
14 Studies of ocean wave breaking have predominantly focused on traveling waves (those propagating along the horizontal plane), so Mark McAllister et al. utilized a circular wave tank to produce and study spike waves, axisymmetric standing waves that can erupt vertically when traveling waves propagating in opposing directions intersect. Traveling waves break when wave steepness (height-to-length ratio) passes a critical threshold; breaking thus constrains wave height. McAllister et al. found that spike waves can exceed that constraint, as other factors than just steepness (e.g., jet stability and cavity shape) mediate spike-wave breaking. Which choice best states the main idea of the text?
15 Energy Density of Four Fuels 45) 40 L / J 35 M ( 30 y t 25 i s n 20 e d 15 y g 10 r e n 5 E 0 e l n o e e i n u u a^l f f o h o^l t s t b e g a^l e j P O^i P Fuel A team of researchers used bacteria to create a biofuel (a renewable fuel produced from plants, algae, or other living materials). The team called the new fuel POP biofuel. To determine how much energy is stored in POP biofuel compared to other fuels, the team calculated the fuels’ energy density, in megajoules per liter (MJ/L). The team found that the fuel with the highest energy density is b l a n k Which choice most effectively uses data from the graph to complete the sentence?
16 Founded in 1965 and originally established as a cultural extension of the United Farm Workers—a union representing many Mexican American agricultural workers at the time—the theater troupe El Teatro Campesino has achieved recognition as a source of inspiration for subsequent Chicano theater companies and as a contributor to the dramatic arts. In an article about the company, a theater historian posits that a significant stylistic influence on El Teatro’s early performances was the audience-mediated slapstick comedy of carpa theater, vaudeville-style shows popular in Mexico and the US Southwest in the 1920s and ’30s. Which quotation from the article would best illustrate the theater historian’s claim?
17 Researchers Eugeni Vidal-Tortosa and Robin Lovelace looked at the relationship between street lighting in a city and people’s willingness to ride a bicycle. Their results suggest that poor street lighting can deter new or inexperienced cyclists from riding in a city but has little effect on experienced cyclists. Therefore, increasing the number of streetlights in a city could potentially b l a n k Which choice most logically completes the text?
18 Like many other genera of wild bees, bumblebees have in recent decades experienced population collapse caused by, among other factors, habitat destruction and climate variation. Bumblebees are also one of the most researched bee genera, second only to honeybees. As a result, ecologists have gained much of their insight about wild-bee declines from bumblebees. In a 2021 paper, zoologist Guillaume Ghisbain notes that bumblebees are among the relatively few wild-bee genera that display social behaviors and dietary generalism (ability to obtain nectar and pollen from a diversity of plant species), two traits that are associated with increased resilience to some specific environmental changes. Ghisbain therefore contends that b l a n k Which choice most logically completes the text?