sat
In the 𝑥𝑦-plane, line ℓ passes through the point (0,0) and is parallel to the line represented by the equation 𝑦=8𝑥+2. If line ℓ also passes through the point (3,𝑑), what is the value of 𝑑?
24. A line in the xy-plane can be defined by the equation 𝑦=𝑚𝑥+𝑏, where 𝑚 is the slope of the line and 𝑏 is the y-coordinate of the y-intercept of the line. It's given that line 𝓁𝑙 passes through the point 0,0. Therefore, the y-coordinate of the y-intercept of line 𝓁𝑙 is 0. It's given that line 𝓁𝑙 is parallel to the line represented by the equation 𝑦=8𝑥+2. Since parallel lines have the same slope, it follows that the slope of line 𝓁𝑙 is 8. Therefore, line 𝓁𝑙 can be defined by an equation in the form 𝑦=𝑚𝑥+𝑏, where 𝑚=8 and 𝑏=0. Substituting 8 for 𝑚 and 0 for 𝑏 in 𝑦=𝑚𝑥+𝑏 yields the equation 𝑦=8𝑥+0, or 𝑦=8𝑥 . If line 𝓁𝑙 passes through the point 3,𝑑, then when 𝑥=3, 𝑦=𝑑 for the equation 𝑦=8𝑥. Substituting 3 for 𝑥 and 𝑑 for 𝑦 in the equation 𝑦=8𝑥 yields 𝑑=83, or 𝑑=24.
out of 300 seeds that were planted, 80% sprouted. How many of these seeds sprouted?
240. It's given that 80% of the 300 seeds sprouted. Therefore, the number of seeds that sprouted can be calculated by multiplying the number of seeds that were planted by 80/100, which gives 300x80/100, or 240.
f(x) = 4x2 - 50x + 126 The given equation defines the function 𝑓. For what value of 𝑥 does 𝑓𝑥 reach its minimum?
25/4 or 6.25. The given equation can be rewritten in the form 𝑓𝑥=𝑎𝑥-ℎ)^2+𝑘, where 𝑎, ℎ, and 𝑘 are constants. When 𝑎>0, ℎ is the value of 𝑥 for which 𝑓(𝑥) reaches its minimum. The given equation can be rewritten as 𝑓𝑥=4(𝑥^2-50/4𝑥)+126, which is equivalent to 𝑓(𝑥)=4(𝑥^2-50/4 𝑥+(50/8)^2(x-50/8^2)+126. This equation can be rewritten as 𝑓(𝑥)=4(𝑥-50/8^2-50/8^2+126, or 𝑓𝑥=4𝑥-50/8^2-4(50/8^2+126, which is equivalent to 𝑓𝑥=4𝑥-25/4^2-121/4. Therefore, ℎ=254, so the value of 𝑥 for which 𝑓𝑥 reaches its minimum is 254. Note that 25/4 and 6.25 are examples of ways to enter a correct answer.
last year, 200 students enrolled in an interior design program. this year, the number of students enrolled is 147% of last year's number. how many students are enrolled in the interior design program this year?
294. you do 147 divided by 100 times 200 and get 294 or 1.47 times 200
The circle shown has center 𝑂, circumference 144𝜋, and diameters 𝑃𝑅¯ and 𝑄𝑆¯. The length of arc 𝑃𝑆 is twice the length of arc 𝑃𝑄. What is the length of arc 𝑄𝑅?
48 𝜋
rs=440 st=384 tr=584 The side lengths of right triangle 𝑅𝑆𝑇 are given. Triangle 𝑅𝑆𝑇 is similar to triangle 𝑈𝑉𝑊, where 𝑆 corresponds to 𝑉 and 𝑇 corresponds to 𝑊. What is the value of tan𝑊?
55/48 The hypotenuse of triangle 𝑅𝑆𝑇 is the longest side and is across from the right angle. The longest side length given is 584, which is the length of side 𝑇𝑅. Therefore, the hypotenuse of triangle 𝑅𝑆𝑇 is side 𝑇𝑅, so the right angle is angle 𝑆. The tangent of an acute angle in a right triangle is the ratio of the length of the opposite side, which is the side across from the angle, to the length of the adjacent side, which is the side closest to the angle that is not the hypotenuse. It follows that the opposite side of angle 𝑇 is side 𝑅𝑆 and the adjacent side of angle 𝑇 is side 𝑆𝑇. Therefore, tan𝑇=𝑅𝑆𝑆𝑇. Substituting 440 for 𝑅𝑆 and 384 for 𝑆𝑇 in this equation yields tan𝑇=440/384. This is equivalent to tan𝑇=55/48. It's given that triangle 𝑅𝑆𝑇 is similar to triangle 𝑈𝑉𝑊, where 𝑆 corresponds to 𝑉 and 𝑇 corresponds to 𝑊. It follows that 𝑅 corresponds to 𝑈. Therefore, the hypotenuse of triangle 𝑈𝑉𝑊 is side 𝑊𝑈, which means tan𝑊=𝑈𝑉/𝑉𝑊. Since the lengths of corresponding sides of similar triangles are proportional, 𝑅𝑆/𝑆𝑇=𝑈𝑉/𝑉𝑊. Therefore, tan𝑊=𝑈𝑉/𝑉𝑊 is equivalent to tan𝑊=𝑅𝑆/𝑆𝑇, or tan𝑊=tan𝑇. Thus, tan𝑊=55/48.
The graph of 7𝑥+2𝑦=-31 in the 𝑥𝑦-plane has an 𝑥-intercept at (𝑎,0) and a 𝑦-intercept at (0,𝑏), where 𝑎 and 𝑏 are constants. What is the value of 𝑏/𝑎?
7/2. The x-coordinate 𝑎 of the x-intercept 𝑎, 0 can be found by substituting 0 for 𝑦 in the given equation, which gives 7𝑥+20=-31, or 7𝑥=-31. Dividing both sides of this equation by 7 yields 𝑥=-31/7. Therefore, the value of 𝑎 is -31/7. The y-coordinate 𝑏 of the y-intercept 0,𝑏 can be found by substituting 0 for 𝑥 in the given equation, which gives 70+2𝑦=-31, or 2𝑦=-31. Dividing both sides of this equation by 2 yields 𝑦=-31/2. Therefore, the value of 𝑏 is -312. It follows that the value of 𝑏𝑎 is -31/2-31/7, which is equivalent to 31/2 7/31, or 7/2.
In the 𝑥𝑦-plane, a line with equation 2𝑦=𝑐 for some constant 𝑐 intersects a parabola at exactly one point. If the parabola has equation 𝑦=-2𝑥2+9𝑥, what is the value of 𝑐?
814. The given linear equation is 2𝑦=𝑐. Dividing both sides of this equation by 2 yields 𝑦=𝑐2. Substituting 𝑐2 for 𝑦 in the equation of the parabola yields 𝑐2=-2𝑥2+9𝑥. Adding 2𝑥2 and -9𝑥 to both sides of this equation yields 2𝑥2-9𝑥+𝑐2=0. Since it's given that the line and the parabola intersect at exactly one point, the equation 2𝑥2-9𝑥+𝑐2=0 must have exactly one solution. An equation of the form 𝐴𝑥2+𝐵𝑥+𝐶=0, where 𝐴, 𝐵, and 𝐶 are constants, has exactly one solution when the discriminant, 𝐵2-4𝐴𝐶, is equal to 0. In the equation 2𝑥2-9𝑥+𝑐2=0, where 𝐴=2, 𝐵=-9, and 𝐶=𝑐2, the discriminant is -92-42𝑐2. Setting the discriminant equal to 0 yields -92-42𝑐2=0, or 81-4𝑐=0. Adding 4𝑐 to both sides of this equation yields 81=4𝑐. Dividing both sides of this equation by 4 yields 𝑐=814. Note that 81/4 and 20.25 are examples of ways to enter a correct answer.
An object is kicked from a platform. The equation ℎ=-4.9𝑡2+7𝑡+9 represents this situation, where ℎ is the height of the object above the ground, in meters, 𝑡 seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?
9 it's given that the equation ℎ=-4.9𝑡^2+7𝑡+9 represents this situation, where ℎ is the height, in meters, of the object 𝑡 seconds after it is kicked. It follows that the height, in meters, from which the object was kicked is the value of ℎ when 𝑡=0. Substituting 0 for 𝑡 in the equation ℎ=-4.9𝑡^2+7𝑡+9 yields ℎ=-4.9(0)^2+7(0)+9, or ℎ=9. Therefore, the object was kicked from a height of 9 meters
While researching a topic, a student has taken the following notes: In 2013, archaeologists studied cat bone fragments they had found in the ruins of Quanhucun, a Chinese farming village. The fragments were estimated to be 5,300 years old. A chemical analysis of the fragments revealed that the cats had consumed large amounts of grain. The grain consumption is evidence that the Quanhucun cats may have been domesticated.
A 2013 analysis of cat bone fragments found in Quanhucun, China, suggests that cats there may have been domesticated 5,300 years ago.
Larissa Behrendt's novel After Story tells the tale of Indigenous lawyer Jasmine and her mother Della as they take a literary tour of England. During their tour, a girl disappears, echoing the disappearance of Jasmine's older sister twenty-five years earlier. ____________ Jasmine reexamines her past, and family secrets come to light. which choice completes the text with the most logical transition?
Consequently,
Black beans (Phaseolus vulgaris) are a nutritionally dense food, but they are difficult to digest in part because of their high levels of soluble fiber and compounds like raffinose. They also contain antinutrients like tannins and trypsin inhibitors, which interfere with the body's ability to extract nutrients from foods. In a research article, Marisela Granito and Glenda Álvarez from Simón Bolívar University in Venezuela claim that inducing fermentation of black beans using lactic acid bacteria improves the digestibility of the beans and makes them more nutritious. Which finding from Granito and Álvarez's research, if true, would most directly support their claim?
Fermented beans contained significantly less soluble fiber and raffinose than nonfermented beans, and when cooked, the fermented beans also displayed a significant reduction in trypsin inhibitors and tannins.
People who are interested in reducing food waste are using banana peels in unique ways. ___ ________ banana peels can be dried and ground into flour and used in baking. Researchers found that baking cookies with banana peel flour let some more healthful cookies. Which choice complete the text with the most logical transition?
For instance,
Samuel Coleridge-Taylor was a prominent classical music composer from England who toured the US three times in the early 1900s. The child of a West African father and an English mother, Coleridge-Taylor emphasized his mixed-race ancestry. For example, he referred to himself as Anglo-African. ______ he incorporated the sounds of traditional African music into his classical music compositions. which choice completes the text with the most logical transition?
In addition,
Astronomers are confident that the star Betelgeuse will eventually consume all the helium in its core and explode in a supernova. They are much less confident, however, about when this will happen, since that depends on internal characteristics of Betelgeuse that are largely unknown. Astrophysicist Sarafina El-Badry Nance and colleagues recently investigated whether acoustic waves in the star could be used to determine internal stellar states but concluded that this method could not sufficiently reveal Betelgeuse's internal characteristics to allow its evolutionary state to be firmly fixed. Which choice best describes the function of the second sentence in the overall structure of the text?
It identifies the problem that Nance and colleagues attempted to solve but did not.
One poll taken after the first 1960 presidential debate suggested that John Kennedy lost badly: only 21 percent of those who listened on the radio rated him the winner. ______ the debate was ultimately considered a victory for the telegenic young senator, who rated higher than his opponent, Vice President Richard Nixon, among those watching on the new medium of television. Which choice completes the text with the most logical transition?
Nevertheless,
In his 1925 book The Morphology of Landscape, US geographer Carl Sauer challenged prevailing views about how natural landscapes influence human cultures. ______ Sauer argued that instead of being shaped entirely by their natural surroundings, cultures play an active role in their own development by virtue of their interactions with the environment. Which choice completes the text with the most logical transition?
Specifically,
When hibernating, Alaska marmots and Arctic ground squirrels enter a state called torpor, which minimizes the energy their bodies need to function. Often a hibernating animal will temporarily come out of torpor (called an arousal episode) and its metabolic rate will rise, burning more of the precious energy the animal needs to survive the winter. Alaska marmots hibernate in groups and therefore burn less energy keeping warm during these episodes than they would if they were alone. A researcher hypothesized that because Arctic ground squirrels hibernate alone, they would likely exhibit longer bouts of torpor and shorter arousal episodes than Alaska marmots. Which choice best describes data from the table that support the researcher's hypothesis?
The Alaska marmots had shorter torpor bouts and longer arousal episodes than the Arctic ground squirrels did.
In triangle 𝐽𝐾𝐿, cos𝐾=2451 and angle 𝐽 is a right angle. What is the value of cos𝐿?
The correct answer is 1517. It's given that angle 𝐽 is the right angle in triangle 𝐽𝐾𝐿. Therefore, the acute angles of triangle 𝐽𝐾𝐿 are angle 𝐾 and angle 𝐿. The hypotenuse of a right triangle is the side opposite its right angle. Therefore, the hypotenuse of triangle 𝐽𝐾𝐿 is side 𝐾𝐿. The cosine of an acute angle in a right triangle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. It's given that cos𝐾=2451. This can be written as cos𝐾=817. Since the cosine of angle 𝐾 is a ratio, it follows that the length of the side adjacent to angle 𝐾 is 8𝑛 and the length of the hypotenuse is 17𝑛, where 𝑛 is a constant. Therefore, 𝐽𝐾=8𝑛 and 𝐾𝐿=17𝑛. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. For triangle 𝐽𝐾𝐿, it follows that 𝐽𝐾2+𝐽𝐿2=𝐾𝐿2. Substituting 8𝑛 for 𝐽𝐾 and 17𝑛 for 𝐾𝐿 yields 8𝑛2+𝐽𝐿2=17𝑛2. This is equivalent to 64𝑛2+𝐽𝐿2=289𝑛2. Subtracting 64𝑛2 from each side of this equation yields 𝐽𝐿2=225𝑛2. Taking the square root of each side of this equation yields 𝐽𝐿=15𝑛. Since cos𝐿=𝐽𝐿𝐾𝐿, it follows that cos𝐿=15𝑛17𝑛, which can be rewritten as cos𝐿=1517.
5g+45r=380 At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won 𝐺 green tokens and 𝑅 red tokens worth a total of 380 points. The given equation represents this situation. How many more points is a red token worth than a green token?
The correct answer is 40. It's given that 5𝐺+45𝑅=380, where 𝐺 is the number of green tokens and 𝑅 is the number of red tokens won by one student and these tokens are worth a total of 380 points. Since the equation represents the situation where the student won points with green tokens and red tokens for a total of 380 points, each term on the left-hand side of the equation represents the number of points won for one of the colors. Since the coefficient of 𝐺 in the given equation is 5, a green token must be worth 5 points. Similarly, since the coefficient of 𝑅 in the given equation is 45, a red token must be worth 45 points. Therefore, a red token is worth 45-5 points, or 40 points, more than a green token.
55/x+6=x
The correct answer is 5. Multiplying both sides of the given equation by a + 6 results in 55 = x× + 6). Applying the distributive property of multiplication to the right-hand side of this equation results in 55 = 2? + 6x. Subtracting 55 from both sides of this equation results in 0 = 22 + 6x - 55. The right-hand side of this equation can be rewritten by factoring. The two values that multiply to -55 Ind add to 6 are 11 and - 5. It follows that the equation 0 = 22 + 6x - 55 can be rewritten as 0 = (2 + 11)(× - 5). Setting each factor equal to O yields two equations: x + 11 = 0 and x - 5 = 0. Subtracting 11 from both sides of the equation x + 11 = 0 results in x = - 11. Adding 5 to both sides of the equation × - 5 = 0 results in 2 = 5. Therefore, the positive solution to the given equation is 5.
Emmet Chappelle, a scientist who started working with NASA in the 1960s, discovered a way to detect extraterrestrial life. He found that mixing two chemicals found in fireflies, insects known for their bioluminescence, with adenosine triphosphate (ATP) produces light. ATP is present in all living organisms. _________ the presence of life can be confirmed if light is produced when the two firefly chemicals are applied to a same. Which choice completes the text with the most logical transition?
Therefore,
Text 1 When companies in the same industry propose merging with one another, they often claim that the merger will benefit consumers by increasing efficiency and therefore lowering prices. Economist Ying Fan investigated this notion in the context of the United States newspaper market. She modeled a hypothetical merger of Minneapolis-area newspapers and found that subscription prices would rise following a merger. Text 2 Economists Dario Focarelli and Fabio Panetta have argued that research on the effect of mergers on prices has focused excessively on short-term effects, which tend to be adverse for consumers. Using the case of consumer banking in Italy, they show that over the long term (several years, in their study), the efficiency gains realized by merged companies do result in economic benefits for consumers. Based on the texts, how would Focarelli and Panetta (Text 2) most likely respond to Fan's findings (
They would encourage Fan to investigate whether the projected effect on subscription prices persists over an extended period.
just remember this
a parallel line is 180 degrees
Although street art is sometimes treated as commonplace graffiti or vandalism, Bright Tetteh Ackwerh has used the medium to represent his satirical views on religious and political issues in Ghana. ___________ his goal is to provoke a spirited conversation about these topics after people view his works. which choice completes the text with the most logical transition?
accordingly
The classic children's board game Chutes and Ladders is a version of an ancient Nepalese game, Paramapada Sopanapata. In both games, players encounter "good" or "bad" spaces while traveling along a path; landing on one of the good spaces ______ a player to skip ahead and arrive closer to the end goal. Which choice completes the text so that it conforms to the conventions of Standard English?
allows
During the English neoclassical period (1660-1789), many writers imitated the epic poetry and satires of ancient Greece and Rome. They were not the first in England to adopt the literary modes of classical ______ some of the most prominent figures of the earlier Renaissance period were also influenced by ancient Greek and Roman literature. Which choice completes the text so that it conforms to the conventions of Standard English?
antiquity, however;
One theory behind human bipedalism speculates that it originated in a mostly ground-based ancestor that practiced four-legged "knuckle-walking," like chimpanzees and gorillas do today, and eventually evolved into moving upright on two legs. But recently, researchers observed orangutans, another relative of humans, standing on two legs on tree branches and using their arms for balance while they reached for fruits. These observations may suggest that ______Which choice most logically completes the text?
bipedalism evolved because it was advantageous to a tree-dwelling ancestor of humans.
In a study of the cognitive abilities of white-faced capuchin monkeys (Cebus imitator), researchers neglected to control for the physical difficulty of the tasks they used to evaluate the monkeys. The cognitive abilities of monkeys given problems requiring little dexterity, such as sliding a panel to retrieve food, were judged by the same criteria as were those of monkeys given physically demanding problems, such as unscrewing a bottle and inserting a straw. The results of the study, therefore, ______Which choice most logically completes the text?
could suggest that there are differences in cognitive ability among the monkeys even though such differences may not actually exist
An airplane descends from an altitude of 9,500 feet to 5,000 feet at a constant rate of 400 feet per minute. What type of function best models the relationship between the descending airplane's altitude and time?
decreasing linear. it's given that the airplane descends at a constant rate of 400 feet per minute. Since the altitude decreases by a constant amount during each fixed time period, the relationship between the airplane's altitude and time is linear. Since the airplane descends from an altitude of 9,500 feet to 5,000 feet, the airplane's altitude is decreasing with time. Thus, the relationship is best modeled by a decreasing linear function.
American writer Edwidge Danticat, who emigrated from Haiti in 1981, has won acclaim for her powerful short stories, novels, and ______ her lyrical yet unflinching depictions of her native country's turbulent history, writer Robert Antoni has compared Danticat to Nobel Prize-winning novelist Toni Morrison.Which choice completes the text so that it conforms to the conventions of Standard English?
essays. Praising
Ofelia Zepeda's contributions to the field of linguistics are ______: her many accomplishments include working as a linguistics professor and bilingual poet, authoring the first Tohono O'odham grammar book, and co-founding the American Indian Language Development Institute. Which choice completes the text with the most logical and precise word or phrase?
extensive
In the linear function 𝑓, 𝑓(0)=8 and 𝑓(1)=12. Which equation defines 𝑓?
f(X) = 4x + 8. subtract by a number that go into both of them. so you would subtract 4 from both of them
some foraging models predict that the distance bees travel when foraging will decline as floral density increases, but biologists shalene jha and claire kremen showed that bees' behavior is inconsistent with this prediction if flowers in dense patches are ______: bees will forage beyond patches of low species richness to acquire multiple resource types. which choice completes the text with the most logical and precise word or phrase?
homogeneous
During the Apollo 14 mission in 1971, astronaut Stu Roosa carried 500 tree seeds into lunar orbit. Once back on earth, the seeds were germinated and the majority of the trees were successfully planted around the world. The locations of the moon trees were not recorded, _______ until it renewed interest in them in 1996 led to the creation of a database of the rediscovered moon trees and their locations. Which choice completed the text with the most logical transition?
however,
h (x) = x^2 - 3
if this is given with a table, always do something by the last number. so you would go about the table with -3
Earth's atmosphere is bombarded by cosmic dust originating from several sources: short-period comets (SPCs), particles from the asteroid belt (ASTs), Halley-type comets (HTCs), and Oort cloud comets (OCCs). Some of the dust's material vaporizes in the atmosphere in a process called ablation, and the faster the particles move, the higher the rate of ablation. Astrophysicist Juan Diego Carrillo-Sánchez led a team that calculated average ablation rates for elements in the dust (such as iron and potassium) and showed that material in slower-moving SPC or AST dust has a lower rate than the same material in faster-moving HTC or OCC dust. For example, whereas the average ablation rate for iron from AST dust is 28%, the average rate for ______ Which choice most effectively uses data from the table to complete the example?
iron from HTC dust is 90%
The violins handmade in the seventeeth century by Italian craftsman Antonio Stradivari have been celebrated as some of the finest in the world. In close collaboration with musicians, Stradivari introduced changes to the shape of a traditional violin, flattening some of the instrument's curves and making ______ lighter overall. Which choice completes the text so that it conforms to the conventions of Standard English?
it
14j+5k=m The given equation relates the numbers 𝑗, 𝑘, and 𝑚. Which equation correctly expresses 𝑘 in terms of 𝑗 and 𝑚?
k=m-14j/5 Subtracting 14𝑗 from each side of the given equation results in 5𝑘=𝑚-14𝑗. Dividing each side of this equation by 5 results in 𝑘=𝑚-14𝑗/5.
Rosa opened a savings account at a bank. The table shows the exponential relationship between the time 𝑡, in years, since Rosa opened the account and the total amount 𝑛, in dollars, in the account. If Rosa made no additional deposits or withdrawals, which of the following equations best represents the relationship between 𝑡 and 𝑛?
n=604(1+0.004)^t It's given that the relationship between 𝑡 and 𝑛 is exponential. The table shows that the value of 𝑛 increases as the value of 𝑡 increases. Therefore, the relationship between 𝑡 and 𝑛 can be represented by an increasing exponential equation of the form 𝑛=𝑎1+𝑏𝑡, where 𝑎 and 𝑏 are positive constants. The table shows that when 𝑡=0, 𝑛=604. Substituting 0 for 𝑡 and 604 for 𝑛 in the equation 𝑛=𝑎1+𝑏𝑡 yields 604=𝑎1+𝑏0, which is equivalent to 604=𝑎1, or 604=𝑎. Substituting 604 for 𝑎 in the equation 𝑛=𝑎1+𝑏𝑡 yields 𝑛=6041+𝑏𝑡. The table also shows that when 𝑡=1, 𝑛=606.42. Substituting 1 for 𝑡 and 606.42 for 𝑛 in the equation 𝑛=6041+𝑏𝑡 yields 606.42=6041+𝑏1, or 606.42=6041+𝑏. Dividing both sides of this equation by 604 yields approximately 1.004=1+𝑏. Subtracting 1 from both sides of this equation yields that the value of 𝑏 is approximately 0.004. Substituting 0.004 for 𝑏 in the equation 𝑛=6041+𝑏𝑡 yields 𝑛=6041+0.004𝑡. Therefore, of the choices, choice C best represents the relationship between 𝑡 and 𝑛.
Euphorbia esula (leafy spurge) is a Eurasian plant that has become invasive in North America, where it displaces native vegetation and sickens cattle. E. esula can be controlled with chemical herbicides, but that approach can also kill harmless plants nearby. Recent research on introducing engineered DNA into plant species to inhibit their reproduction may offer a path toward exclusively targeting E. esula, consequently ______ Which choice most logically completes the text?
reducing invasive E. esula numbers without harming other organisms.
ormer astronaut Ellen Ochoa says that although she doesn't have a definite idea of when it might happen, she ______ that humans will someday need to be able to live in other environments than those found on Earth. This conjecture informs her interest in future research missions to the moon. Which choice completes the text with the most logical and precise word or phrase?
speculates
The increased integration of digital technologies throughout the process of book creation in the late 20th and early 21st centuries lowered the costs of book production, but those decreased costs have been most significant in the manufacturing and distribution process, which occurs after the authoring, editing, and design of the book are complete. This suggests that in the late 20th and early 21st centuries, ______ Which choice most logically completes the text?
the costs of writing, editing, and designing a book were less affected by the technologies used than were the costs of manufacturing and distributing a book.
In 1930, Japanese American artist Chiura Obata depicted the natural beauty of Yosemite National Park in two memorable woodcuts: Evening at Carl Inn and Lake Basin in the High Sierra. In 2019, ______ exhibited alongside 150 of Obata's other works in a single-artist show at the Smithsonian American Art Museum. Which choice completes the text so that it conforms to the conventions of Standard English?
they were
g (x) = 11 (1/12)^x
(0,11) The x-coordinate of any y-intercept of a graph is 0. Substituting O for x in the given equation yields g(0) = 11 (1/12)°. Since any nonzero number raised to the Oth power is 1, this gives g(0) - 11 • 1, or g(0) = 11. The y-intercept of the graph is, therefore, the point (0, 11).
each rock in a collection of 70 rocks was classified as either igneous, metamorphic, or sedimentary. igneous: 10 metamorphic: 33 sedimentary: 27 if one of these rocks is selected at random, what is the probability of selecting a rock that is igneous?
10/70
From a population of 50,000 people, 1,000 were chosen at random and surveyed about a proposed piece of legislation. Based on the survey, it is estimated that 35% of people in the population support the legislation, with an associated margin of error of 3%. Based on these results, which of the following is a plausible value for the total number of people in the population who support the proposed legislation?
16,750. The corresponding numbers of people represented by these percentages in the population can be calculated by multiplying the total population, 50,000, by 0.32 and by 0.38, which gives 50,000(0.32) = 16,000 and 50,000(0.38) = 19,000
Over the past two hundred years, the percentage of the population employed in the agricultural sector has declined in both France and the United States, while employment in the service sector (which includes jobs in retail, consulting, real estate, etc.) has risen. However, this transition happened at very different rates in the two countries. This can be seen most clearly by comparing the employment by sector in both countries in ______ Which choice most effectively uses data from the table to complete the statement?
1900 with the employment by sector in 1950
A cylinder has a diameter of 8 inches and a height of 12 inches. What is the volume, in cubic inches, of the cylinder?
192𝜋. The base of a cylinder is a circle with a diameter equal to the diameter of the cylinder. The volume, 𝑉, of a cylinder can be found by multiplying the area of the circular base, 𝐴, by the height of the cylinder, ℎ, or 𝑉=𝐴ℎ. The area of a circle can be found using the formula 𝐴=𝜋𝑟2, where 𝑟 is the radius of the circle. It's given that the diameter of the cylinder is 8 inches. Thus, the radius of this circle is 4 inches. Therefore, the area of the circular base of the cylinder is 𝐴=𝜋42, or 16𝜋 square inches. It's given that the height ℎ of the cylinder is 12 inches. Substituting 16𝜋 for 𝐴 and 12 for ℎ in the formula 𝑉=𝐴ℎ gives 𝑉=16𝜋12, or 192𝜋 cubic inches.
the following text is adapted from etsu Inagaki sugimoto's 1925 memoir a daughter of the samurai. as a young woman, sugimoto moved from feudal japan to the united states. the standards of my own and my adopted country differed so widely in some ways, and my love for both lands was so sincere, that sometimes i had an odd feeling of standing upon a cloud in space, and gazing with measuring eyes upon two separate worlds. at first i was continually trying to explain, by japanese standards, all the queer things that came every day before my surprised eyes; for no one seemed to know the origin or significance of even the most familiar customs, nor why they existed and were followed. which choice best describes the main purpose of the text?
to convey the narrator's experience of observing and making sense of differences between two cultures she embraces
It is by no means ______ to recognize the influence of Dutch painter Hieronymus Bosch on Ali Banisadr's paintings; indeed, Banisadr himself cites Bosch as an inspiration. However, some scholars have suggested that the ancient Mesopotamian poem Epic of Gilgamesh may have had a far greater impact on Banisadr's work. Which choice completes the text with the most logical and precise word or phrase?
unimportant. unimportant is the best answer because it most logically completes the sentence about the influences on Banisadr's work. In context, "It is by no means" followed by "unimportant" conveys how it is relevant to recognize Bosch's influence on Banisadr. The text points out that the artist himself cites Bosch as an inspiration, and then goes on to claim that The Epic of Gilgamesh has had a more significant influence than Bosch.
