Maximum number of Number of cars passengers and crew 3 174 5 284 10 559 The table shows the linear relationship between the number of cars, c, on a commuter train and the maximum number of passengers and crew, p, that the train can carry. Which equation represents the linear relationship between c and p? 55c−p = −9
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- - Note: Figure not drawn to scale. In the figure, two lines intersect at a point. Angle 1 and angle 2 are vertical angles. The measure of 72° angle 1 is. What is the measure of angle 2? 72°
- 4^c 8 = 3 4 7 If, what is the value of c?
ABC In triangle, angle B is a right angle. The length t___and_the_length_of_side AB 10 37 BC of side is is 24 t___._What_is_the_length_of_side 37 AC? 14 t__ 37
t__ The function f is defined by f(x) = a x+b, where a and b are constants. In the xy-plane, the graph of = f(x) (−24,0) y passes through the point, and f(24) < 0. Which of the following must be true? f(0) = 24
In the xy-plane, a circle has center C with (h,k) coordinates. Points A and B lie on the circle. J_ h +1,k+ 102 Point A has coordinates, and ACB AB is a right angle. What is the length of? J_ 206
- y 50.,,, 40,,/^,/ /" 30,;I /',,,,✓ 20 /,T u X 4 8 12 16 20 The scatterplot shows the relationship between two variables, x and y, for data set E. A line of best fit is shown. Data set F is created by multiplying the y-coordinate of each data point from data set E by 3.9. Which of the following could be an equation of a line of best fit for data set F? = 46.8 +5.9x
- - - - - -_48y_+24 - - - ~ 48x−64y = = −12x ry 1/8 In the given system of equations, r is a constant. If the system has no solution, what is the value of r? OP
- -_street -_with_7_houses,_2 - - -_houses_are_blue._If_a - - - ~ On a house from this street is selected at random, what is the probability of selecting a house that is blue?
= f(x) The graph of function f is shown, where^-^~ y. y 10 8 6., ~ 4,,,. 2 I.; ~ I ~ X 10 -8 -6 -4 4--6-~8-10 I.A'" 2-, 2.,. I 4 I I '6 I lg I '16 Which of the following describes function f?
y I I X ()) 2 4 I ->---2 I I ->---4) -~f I -~-s The graph of the function f is shown, where = y f x. What is the y-intercept of the graph? (0,−1)
= 8 x^-^-^-^-^- x+3y = 26 The solution to the given system of equations is (x,y). What is the value of y?
- - - - -_bill_for_a_food_order_was_$50. - - - - - The amount of Hanna’s Hanna gave a tip of 20% of the amount of the bill. What is the amount, in dollars, of the tip Hanna gave?
5x^5 −6x^4 +8x^3 Which expression is equivalent to? 5x−6
- ~ XY The ratio^-^-^-^-^-^-^-^- of the length of line segment to the length of line segment ZV is 6 to 1. If the length of XY line segment is 102 inches, what is the length, in ZV inches, of line segment?
On the basis of extensive calculations and models, astronomers in the 1990s predicted that the collision of two neutron stars or a neutron star and a black hole could release a massive burst of gamma rays in an event called a kilonova. This _______ was confirmed with observations in 2017. Which choice completes the text with the most logical and precise word or phrase?
In 2018, scientists discovered an immense aggregation of Muusoctopus robustus(pearl octopuses) along a hydrothermal vent 3,200 meters beneath the ocean’s surface. Water temperatures at this site—named the Octopus Garden—climb as high 11°C 1.6°C as, much warmer than the ambient typical at this depth. Based on observations made over three years, scientists concluded that temperatures at the site likely confer reproductive benefits and that the site is used exclusively for reproduction—6,000 M. robustusadults, hatchlings, and eggs were observed at the garden, but no juveniles were present. Which statement about M. robustusand the Octopus Garden is best supported by the text?
The following text is from Thomas Mann’s 1924 novel The Magic Mountain, translated by John E. Woods in 1995. The story of Hans Castorp that we intend to tell here—not for his sake (for the reader will come to know him as a perfectly ordinary, if engaging young man), but for the sake of the story itself, which seems to us to be very much worth telling (although in Hans Castorp’s favor it should be noted that it is hisstory, and that not every story happens to everybody)—is a story that took place long ago, and is, so to speak, covered with the patina of history and must necessarily be told with verbs whose tense is that of the deepest past. ©1995 by Alfred A. Knopf, Inc. What does the text most strongly suggest about the story of Hans Castorp?
- Percentage of Participants Who Mentioned Factors Researcher Judith Hilton and her team interviewed 55 people about which factors would make them switch from using single-use plastic containers to reusable containers. The graph shows three of the factors mentioned in the interviews and the percentage of participants who mentioned them. According to the graph, about what percentage of participants mentioned costs in the interviews?
Almost all works of fiction contain references to the progression of time, including the time of day when events in a story take place. In a 2020 study, Allen Kim, Charuta Pethe, and Steven Skiena claim that an observable pattern in such references reflects a shift in human behavior prompted by the spread of electric lighting in the late nineteenth century. The researchers drew this conclusion from an analysis of more than 50,000 novels spanning many centuries and cultures, using software to recognize and tally both specific time references—that is, clock phrases, such as 7 a.m. or 2:30 p.m.—and implied ones, such as mentions of meals typically associated with a particular time of day. Which finding from the study, if true, would most directly support the researchers’ conclusion?
Narwhals are shy whales that live in the remote Arctic Ocean. Some of them have a long tusk, like a unicorn horn, with sensitive nerves. Narwhals are known for this tusk, but many actually don’t have one and its purpose is unknown. One group of scientists came up with a possible purpose in 2014. The scientists suggested that the tusk may help narwhals determine when water around them is likely to start freezing and become dangerous for them. Marine biologist Kristin Laidre disagrees with that idea, though. She reasons that if the narwhal’s tusk serves such an important purpose, then it’s most likely that _______ Which choice most logically completes the text?
To address the susceptibility of materials used in components of high-performance machinery, such as aircraft engines, to creep (deformation that is induced by persistent mechanical stress and that often occurs at elevated temperatures), materials researchers have developed silicon carbide (SiC) fibers for producing aerospace composites. Testing the thermomechanical properties of several commercially available SiC fibers, Ramakrishna T. Bhatt et al. found that in comparison with two polymer-derived SiC fibers, a nitrogen-treated SiC fiber exhibited a lower minimum creep rate, a measure of the rate at which a stress-exposed material deforms at a constant temperature and uniaxial load. The finding suggests that _______ Which choice most logically completes the text?
One of the earliest known maps is a Babylonian clay tablet thought to be almost 4,500 years old. The map _______ the area of a plot of land, shows a river valley, and includes the cardinal directions. Which choice completes the text so that it conforms to the conventions of Standard English?
The following text is from John Muir’s 1913 autobiography The Story of My Boyhood and Youth. Muir describes being on a boat. The water was so clear that it was almost invisible, and when we floated slowly out over the plants and fishes, we seemed to be miraculously sustained in the air while exploring a veritable fairyland. As used in the text, what does the word “clear” most nearly mean?
Eighteen letters written by Louisa May Alcott, author of the popular novel Little Women(1868), can be found at the New York Historical Society. _______ letters demonstrate Alcott’s keen business sense in her interactions with publishers. Which choice completes the text so that it conforms to the conventions of Standard English?