Tüm alıştırma soruları

2789 soru

Soru 2481Soru

Text 1
Many conservationists advocate for active forest restoration, arguing that planting a diverse mix of native tree species is essential to accelerate canopy recovery and prevent soil erosion in degraded lands. According to this view, relying solely on natural regeneration is risky and slow, as invasive weeds and altered soil chemistry often stall the growth of native species. Consequently, intensive human intervention—such as soil preparation and seedling planting—is presented as the only reliable path to restore functional, resilient forest ecosystems in a reasonable timeframe.

Text 2
Conversely, ecologists like Dr. Clara Alvarez caution against the widespread preference for active restoration. Alvarez argues that natural regeneration—allowing forests to recover on their own—frequently yields ecosystems that are more genetically diverse and better adapted to local microclimates than those planted by humans. Furthermore, active restoration projects often favor fast-growing species that may not support the complex web of local wildlife, leading to homogenous forests. Alvarez suggests that instead of immediately planting trees, managers should first remove barriers to natural recovery, such as livestock grazing, and allow the land to heal itself.

Based on the texts, how would Dr. Clara Alvarez (Text 2) most likely respond to the claim in Text 1 that intensive human intervention is the only reliable path to restore functional forest ecosystems?

Cevabı ve açıklamayı göster

Cevap: By arguing that intensive human management can lead to ecologically uniform habitats that lack the resilience of naturally recovered areas.

Cevap

Dr. Clara Alvarez would respond by arguing that intensive human management can lead to ecologically uniform habitats that lack the resilience of naturally recovered areas.
The author of Text 2, Dr. Clara Alvarez, argues that human-planted forests often favor fast-growing species, leading to homogenous (uniform) ecosystems that fail to support local wildlife as effectively as naturally regenerated forests. Thus, Alvarez would counter the assertion in Text 1 that active human intervention is the only reliable path to restoration by pointing out that such methods can produce ecologically simplified habitats rather than the diverse and resilient systems conservationists intend to create.

Adım Adım Çözüm

1
Analyze Text 1 to identify the conservationists' core argument and claims regarding forest restoration.
Conservationists in Text 1 claim that active restoration (planting native species and preparing soil) is the only reliable path to restore functional, resilient forest ecosystems.
Understanding the specific claim being asked about is necessary to evaluate the second author's response to it.
2
Analyze Text 2 to identify Dr. Clara Alvarez's stance on active restoration and her arguments about natural regeneration.
Alvarez argues that active restoration can result in homogenous, uniform forests that do not support wildlife, whereas natural regeneration yields more genetically diverse and adapted ecosystems.
Identifying the second author's counterarguments allows for direct comparison with the claims in the first text.
3
Determine how Alvarez would respond to the claim that active restoration is the only reliable path to resilience.
Alvarez would point out that active human management can lead to ecologically uniform habitats that lack the resilience of naturally recovered areas.
Synthesizing the two positions yields the correct perspective comparison.

Anahtar Kavram

Cross-Text Connections: Perspective Comparison
Soru 2482Soru

Many computational linguists have developed sophisticated algorithms to analyze sign frequencies in the Indus script, arguing that statistical patterns alone can reveal its structure. ______ these mathematical models have struggled to identify syntax without the aid of a bilingual text, prompting researchers to integrate archaeological evidence into their analyses.

Which choice completes the text with the most logical transition?

Cevabı ve açıklamayı göster

Cevap: Still,

Cevap

Still,
The text presents a contrast between an optimistic assumption (that statistical patterns alone can reveal the Indus script's structure) and a practical limitation (that these mathematical models have struggled without bilingual texts). The transition 'Still' correctly establishes this concession, signaling that despite the arguments of computational linguists, the challenge of identifying syntax remains unresolved.

Adım Adım Çözüm

1
Analyze the relationship between the two sentences.
The first sentence describes the claim that statistical patterns alone can decode the Indus script, while the second sentence states that these models have struggled to identify syntax.
Understanding the semantic connection between the ideas is necessary to determine the correct transition category.
2
Determine the transition category required.
The relationship is one of contrast or concession, as the second sentence introduces a limitation or counter-evidence to the claim in the first sentence.
Establishing the transition category helps narrow down the choices to contrast/concession transitions.
3
Evaluate the transition choices based on the identified category.
The word 'Still' is a contrast/concession transition (meaning 'nevertheless' or 'despite this'), making it the only logical fit.
Selecting the option that correctly implements the contrast relationship is the final step.

Anahtar Kavram

Transitions: Contrast and Concession
Soru 2483Soru

Ancient Roman builders achieved extraordinary structural durability in maritime concrete structures, such as piers and breakwaters, by utilizing a specific mix of volcanic ash known as pozzolana. Unlike modern Portland concrete, which degrades when exposed to seawater, Roman concrete undergoes a beneficial chemical reaction upon contact with saline ocean water. Specifically, the seawater dissolves the volcanic crystals and tuffs within the concrete, which subsequently recrystallizes as a rare mineral called aluminous tobermorite. This mineral reinforces the cohesive structure of the concrete over centuries, rather than weakening it. Consequently, instead of eroding, Roman maritime concrete structures actually grow stronger over time when submerged in marine environments.

Based on the text, what is true of Roman maritime concrete when it is exposed to seawater?

Cevabı ve açıklamayı göster

Cevap: It undergoes a chemical reaction that results in the formation of a mineral that reinforces its structure.

Cevap

Roman maritime concrete undergoes a chemical reaction when exposed to seawater, creating a mineral that reinforces its structure.
The passage explicitly states that contact with seawater initiates a chemical reaction in which volcanic crystals and tuffs are dissolved and subsequently recrystallize as aluminous tobermorite. This mineral is described as reinforcing the cohesive structure of the concrete, making it stronger over time.

Adım Adım Çözüm

1
Locate the portion of the text that describes the direct effect of seawater on the components of Roman concrete.
The text states that seawater dissolves the volcanic crystals and tuffs, which then recrystallize as the mineral aluminous tobermorite.
This establishes the immediate physical and chemical consequences of seawater exposure.
2
Identify the structural outcome of this recrystallization process.
The text explicitly states that this mineral reinforces the cohesive structure of the concrete, making it grow stronger.
This connects the chemical change directly to the material's reinforcement, confirming the correct answer.

Anahtar Kavram

Explicit Details
Soru 2484Soru

A local library recorded the number of books checked out by 9 patrons on a certain day. The numbers of books checked out were:

2,3,3,5,6,7,8,9,122, 3, 3, 5, 6, 7, 8, 9, 12

If a 10th patron who checked out xx books is included, the mean of the numbers of books checked out by the 10 patrons is equal to the median of the numbers of books checked out by the 10 patrons. If xx is a positive integer, what is the value of xx?

Cevabı ve açıklamayı göster

Cevap: 10

Cevap

10
To find the value of xx, we first find the sum of the 9 given numbers: 2+3+3+5+6+7+8+9+12=552 + 3 + 3 + 5 + 6 + 7 + 8 + 9 + 12 = 55. When a 10th number xx is added, the mean of the 10 numbers is 55+x10\frac{55 + x}{10}. Since xx is a positive integer, we analyze the median of the 10 numbers depending on the value of xx. If x8x \ge 8, the sorted list of the 10 numbers is 2,3,3,5,6,7,8,9,12,x2, 3, 3, 5, 6, 7, 8, 9, 12, x (with the positions of 99, 1212, and xx potentially rearranged depending on how large xx is). In this case, the 5th and 6th numbers in the sorted list are 66 and 77. Thus, the median is 6+72=6.5\frac{6 + 7}{2} = 6.5. Setting the mean equal to the median gives 55+x10=6.5\frac{55 + x}{10} = 6.5, which simplifies to 55+x=6555 + x = 65, or x=10x = 10. Since 1010 is indeed a positive integer and is 8\ge 8, 1010 is the correct answer.

Adım Adım Çözüm

1
Find the sum of the original 9 data points.
Sum = 55
This is needed to write the formula for the mean of the 10 data points: Mean = (55 + x)/10.
2
Determine the median of the 10 data points when x is a large positive integer.
Median = 6.5
For x >= 8, the ordered dataset is 2, 3, 3, 5, 6, 7, 8, 9, 12, x. The median of a 10-element dataset is the average of the 5th and 6th elements (6 and 7), which is 6.5.
3
Equate the mean and median expressions and solve for x.
x = 10
Setting (55 + x)/10 = 6.5 gives 55 + x = 65, which results in x = 10. Since 10 is a positive integer and is greater than or equal to 8, it is the correct value.

Anahtar Kavram

Calculating and comparing the mean and median of a dataset after adding a new value.
Soru 2485Soru

To reduce urban heat island effects, municipal planners in Tokyo have extensively promoted the installation of green roofs, which utilize vegetation to absorb sunlight and cool buildings. These green installations require significant initial capital and ongoing irrigation maintenance, making them difficult to implement widely in lower-income districts. ______ reflective cool roofs, which simply use light-colored paint to redirect solar radiation, offer a far more cost-effective alternative that can be rapidly deployed across diverse neighborhoods.

Which choice completes the text with the most logical transition?

Cevabı ve açıklamayı göster

Cevap: Conversely,

Cevap

Conversely,
The passage establishes a contrast between green roofs, which are expensive and difficult to maintain, and reflective cool roofs, which are a cheap and easily deployed alternative. The transition 'Conversely' correctly signals this contrast.

Adım Adım Çözüm

1
Analyze the relationship between the two parts of the passage.
The first part describes green roofs as expensive and difficult to maintain. The second part introduces reflective cool roofs as a cost-effective and easily deployed alternative.
To determine the appropriate transition, we must understand how the ideas in the passage connect.
2
Identify the logical relation between these two ideas.
The relationship is one of contrast, as the two roofing methods have opposing characteristics (expensive and difficult vs. cost-effective and easy).
Identifying the relationship type helps narrow down the categories of transition words.
3
Evaluate the choices to find the transition that signals contrast.
The transition word 'Conversely' signals contrast. Other choices like 'Consequently' (cause/effect), 'Furthermore' (addition), and 'Specifically' (elaboration) do not fit this relationship.
Selecting the correct transition ensures logical flow and coherence in the passage.

Anahtar Kavram

Contrast and Concession Transitions
Tahmini Süre:1m 0s
Soru 2486Soru

A quadratic function ff is defined by f(x)=a(x4)(xk)f(x) = a(x - 4)(x - k), where aa and kk are constants. In the xyxy-plane, the graph of y=f(x)y = f(x) has its vertex at (6,12)(6, 12). What is the value of kk?

Cevabı ve açıklamayı göster

Cevap: 8

Cevap

The value of kk is 88.
The given quadratic function is in the factored form f(x)=a(x4)(xk)f(x) = a(x - 4)(x - k), meaning the x-intercepts of its graph are x=4x = 4 and x=kx = k. Due to the symmetry of a parabola, the x-coordinate of the vertex is the midpoint of the x-intercepts. Since the vertex is at (6,12)(6, 12), its x-coordinate is 66. Setting the midpoint of the intercepts equal to 6 gives the equation 4+k2=6\frac{4 + k}{2} = 6. Multiplying both sides by 2 gives 4+k=124 + k = 12, and subtracting 4 gives the correct answer k=8k = 8.

Adım Adım Çözüm

1
Identify the x-intercepts of the function f(x)=a(x4)(xk)f(x) = a(x - 4)(x - k).
The x-intercepts are at x=4x = 4 and x=kx = k.
For any quadratic function written in the factored form f(x)=a(xr1)(xr2)f(x) = a(x - r_1)(x - r_2), the values r1r_1 and r2r_2 correspond to the x-intercepts of the graph.
2
Relate the x-coordinate of the vertex to the x-intercepts using symmetry.
The axis of symmetry equation is 4+k2=6\frac{4 + k}{2} = 6.
Because a parabola is symmetric, the x-coordinate of the vertex always lies exactly halfway between the two x-intercepts.
3
Solve the equation for kk.
k=8k = 8.
Multiplying both sides of the equation 4+k2=6\frac{4 + k}{2} = 6 by 2 yields 4+k=124 + k = 12. Subtracting 4 from both sides gives k=8k = 8.

Anahtar Kavram

Symmetry of quadratic graphs and their vertices relative to their x-intercepts.

Alternatif Yöntem

Alternatively, substitute the vertex coordinates (6,12)(6, 12) into the function: 12=a(64)(6k)=2a(6k)12 = a(6 - 4)(6 - k) = 2a(6 - k). Since the vertex is the maximum point, the derivative f(x)=a(xk)+a(x4)f'(x) = a(x - k) + a(x - 4) must be equal to 0 at x=6x = 6. This yields a(6k)+a(64)=0a(6 - k) + a(6 - 4) = 0. Since a0a \neq 0, dividing by aa gives (6k)+2=0(6 - k) + 2 = 0, which simplifies to 8k=08 - k = 0, or k=8k = 8.
Tahmini Süre:1m 30s
Soru 2487Soru

A software developer recorded the number of software bugs resolved each day for 20 days, as shown in the table below.

Bugs ResolvedNumber of Days
02
14
27
35
42

On the 21st day, the developer resolved 10 bugs. Which of the following statements best describes the effect of this new data point on the mean and the median of the dataset?

Cevabı ve açıklamayı göster

Cevap: The mean increases, and the median remains the same.

Cevap

The mean increases, and the median remains the same.
The mean is sensitive to extreme values, so adding a value of 10, which is significantly larger than the initial mean of 2.05, increases the mean of the dataset. The median is resistant to extreme values; since the 11th value of the sorted 21-element dataset is still 2, the median remains unchanged.

Adım Adım Çözüm

1
Calculate the initial mean and median of the dataset.
The initial mean is 2.05 and the initial median is 2.
The sum of the values is (0 * 2) + (1 * 4) + (2 * 7) + (3 * 5) + (4 * 2) = 41. With 20 days, the mean is 41 / 20 = 2.05. The median of 20 values is the average of the 10th and 11th values when sorted. Ordering the frequencies shows that indices 7 through 13 contain the value 2, so both the 10th and 11th values are 2, giving a median of 2.
2
Calculate the new mean and median after adding the 21st data point (10).
The new mean is approximately 2.43 and the new median is 2.
The new sum of values is 41 + 10 = 51. With 21 days, the new mean is 51 / 21 ≈ 2.43. The median of 21 values is the 11th value in the sorted list. Since the 11th value is still within the group of 2s (indices 7 through 13), the new median is 2.
3
Compare the initial values to the new values to determine the overall changes.
The mean increases from 2.05 to 2.43, while the median remains 2.
Comparing the results shows that the mean increases and the median remains the same.

Anahtar Kavram

Effect of outliers on measures of center (mean vs. median)
Tahmini Süre:1m 30s
Soru 2488Soru

The following passage discusses urban climate interventions. Which word completes the text with the most logical and precise meaning?

Aşağıdaki boşlukları doldurun

Urban heat islands present a growing challenge for modern cities, prompting many municipalities to invest in green infrastructure. Although urban canopy projects can significantly lower surface temperatures in localized neighborhoods, researchers warn that such microclimatic interventions cannot entirely the overarching thermal impacts of regional urbanization. Consequently, these initiatives must be paired with broader structural changes to achieve long-term cooling.
Cevabı ve açıklamayı göster

Cevap

mitigate (or a similar word meaning to make less severe, such as alleviate, counteract, or offset)
The context contrasts the local success of urban canopy projects in lowering temperatures with their limitation in addressing the broader regional thermal impacts. The word completing the text must mean to lessen the severity of or reduce these impacts. Words like 'mitigate,' 'alleviate,' 'counteract,' or 'offset' fit this context perfectly because they denote the reduction or balancing of a negative effect.

Adım Adım Çözüm

1
Analyze the context of the sentence, paying attention to contrasting transition words.
The word 'Although' at the beginning of the second sentence establishes a contrast between the positive localized effects of urban canopy projects and their limitations regarding the broader regional impacts.
Understanding the logical relationship in the sentence is essential to determining the meaning of the missing word.
2
Determine the required meaning of the blank based on the contrast.
Since the local interventions 'significantly lower' temperatures but cannot 'entirely' solve the larger regional problem, the blank must mean to lessen, reduce the severity of, or counteract the negative impacts.
This identifies the precise semantic role that the high-utility vocabulary word must play in the sentence.
3
Identify high-utility academic vocabulary words that fit this meaning.
'Mitigate' (meaning to make less severe, serious, or painful) fits both the academic tone and the exact context of reducing environmental impacts.
Verifying that the selected word matches the context semantically and grammatically completes the problem-solving process.

Anahtar Kavram

Words in Context: High-Utility Vocabulary
Soru 2489Soru

An investment account and a savings account are opened at the same time. The value of the investment account, in dollars, is modeled by the function I(t)=5,000(1.08)tI(t) = 5,000(1.08)^t, where tt is the number of years since the account was opened. The value of the savings account increases linearly by $400\$400 each year, starting with an initial deposit of $5,000\$5,000. What is the difference, in dollars, between the value of the investment account and the value of the savings account 22 years after they are opened?

Cevabı ve açıklamayı göster

Cevap: 32

Cevap

The difference between the values of the two accounts after 2 years is 32 dollars.
The correct answer of 32 is found by evaluating both account models at 2 years. The investment account value is 5,000(1.08)2=5,8325,000(1.08)^2 = 5,832, and the savings account value is 5,000+400(2)=5,8005,000 + 400(2) = 5,800. Subtracting the two values yields a difference of 32.

Adım Adım Çözüm

1
Calculate the value of the investment account after 2 years.
I(2)=5,000(1.08)2=5,000(1.1664)=5,832I(2) = 5,000(1.08)^2 = 5,000(1.1664) = 5,832
The investment account grows exponentially, so we substitute t=2t = 2 into the given exponential model.
2
Determine the linear equation for the savings account and calculate its value after 2 years.
S(t)=5,000+400tS(t) = 5,000 + 400t, so S(2)=5,000+400(2)=5,800S(2) = 5,000 + 400(2) = 5,800
The savings account grows linearly by a constant rate of 400peryearfromaninitialdepositof400 per year from an initial deposit of 5,000.
3
Find the difference between the two account values.
5,8325,800=325,832 - 5,800 = 32
To find how much more the investment account is worth, subtract the savings account value from the investment account value.

Anahtar Kavram

Distinguishing between and calculating values for linear growth (constant addition per time unit) and exponential growth (constant percentage multiplication per time unit).
Soru 2490Soru

A rectangular garden has a length of 1212 feet and a width of 55 feet. A gardener wants to place a straight wooden diagonal walk from one corner of the garden to the opposite corner. What is the length, in feet, of the diagonal walk?

Cevabı ve açıklamayı göster

Cevap: 1313

Cevap

The length of the diagonal walk is 1313 feet.
The diagonal of the rectangular garden forms a right triangle with the garden's length and width acting as the legs. By applying the Pythagorean theorem, a2+b2=c2a^2 + b^2 = c^2, where a=5a = 5 and b=12b = 12, we get 52+122=25+144=1695^2 + 12^2 = 25 + 144 = 169. Taking the square root of 169169 gives 1313. Thus, the length of the diagonal walk is 1313 feet.

Adım Adım Çözüm

1
Identify the right triangle formed by the length, width, and diagonal of the rectangle.
A right triangle is formed where the two legs are the length (1212 feet) and the width (55 feet), and the hypotenuse is the diagonal walk (dd).
The corners of a rectangle form 9090^\circ angles, making the diagonal the hypotenuse of a right triangle.
2
Apply the Pythagorean theorem, a2+b2=c2a^2 + b^2 = c^2, where a=5a = 5, b=12b = 12, and c=dc = d.
52+122=d25^2 + 12^2 = d^2
To relate the legs of a right triangle to its hypotenuse.
3
Simplify the equation to solve for dd.
25+144=d225 + 144 = d^2, which simplifies to 169=d2169 = d^2. Taking the square root of both sides gives d=13d = 13.
To find the numerical value of the hypotenuse.

Anahtar Kavram

Right Triangles and the Pythagorean Theorem
Tahmini Süre:45s
Soru 2491Soru

Which transition word or phrase most logically connects the two sentences in the passage below?

Aşağıdaki boşlukları doldurun

In historical linguistics, researchers use the comparative method to reconstruct extinct parent languages by comparing sister languages with documented histories. , evolutionary biologists analyze morphological and genetic features of modern species to reconstruct the characteristics of their long-extinct common ancestors.
Cevabı ve açıklamayı göster

Cevap

similarly (or likewise)
The passage establishes a parallel between two different scientific fields: historical linguistics and evolutionary biology. The first sentence explains how historical linguists reconstruct extinct parent languages from sister languages. The second sentence describes how evolutionary biologists reconstruct extinct common ancestors from modern species. Because the second sentence presents an analogous process in a different discipline, a transition indicating similarity (such as 'similarly' or 'likewise') is required to connect the two ideas logically.

Adım Adım Çözüm

1
Analyze the relationship between the first sentence and the second sentence.
The first sentence describes how historical linguists reconstruct extinct languages using the comparative method on sister languages. The second sentence describes how evolutionary biologists reconstruct extinct ancestors using morphological and genetic features of modern species.
To determine the logical connection that the transition word must establish.
2
Determine the transition category that best fits this logical connection.
Since both sentences describe analogous methods of using modern/extant data to reconstruct historical/extinct entities in different fields, the relationship is one of similarity or analogy.
To narrow down the correct transition words to those indicating similarity.
3
Select an appropriate transition word or phrase that expresses similarity.
Words like 'similarly' or 'likewise' fit the blank logically and grammatically.
To complete the sentence with a transition that correctly signals the similarity between the two research fields.

Anahtar Kavram

Transitions: Addition and Similarity
Soru 2492Soru

In conservation chemistry, researchers analyzing seventeenth-century European oil paintings noticed that yellow paint layers containing lead-tin yellow (type I) show significantly less degradation in high-humidity environments than do those containing type II lead-tin yellow. The researchers determined that type I lead-tin yellow contains a high crystalline silicon dioxide fraction, which forms a protective matrix around the lead carboxylate complexes that are prone to moisture-induced degradation. Conversely, type II lead-tin yellow lacks this high crystalline silicon dioxide content, leaving its carboxylate complexes fully exposed to ambient water molecules.

Which choice most logically completes the text?

Cevabı ve açıklamayı göster

Cevap: experience higher rates of pigment degradation than will paintings containing type I lead-tin yellow.

Cevap

The correct answer states that paintings containing type II lead-tin yellow pigments will experience higher rates of pigment degradation than will paintings containing type I lead-tin yellow.
The passage explains that type I lead-tin yellow contains crystalline silicon dioxide, which forms a protective matrix around the moisture-sensitive lead carboxylate complexes, resulting in less degradation in humid environments. In contrast, type II lead-tin yellow lacks this protective silicon dioxide content, leaving its carboxylate complexes exposed. Therefore, it logically follows that when exposed to humidity, paintings with type II pigments will experience higher rates of pigment degradation than those containing the protected type I pigments.

Adım Adım Çözüm

1
Identify the comparative premises established in the passage.
Type I lead-tin yellow contains crystalline silicon dioxide that protects moisture-sensitive lead carboxylate complexes. Type II lead-tin yellow lacks this silicon dioxide fraction, leaving those same complexes exposed to water.
This establishes the chemical differences and relative vulnerability of the two types of pigments to moisture.
2
Determine the logical consequence of exposing both pigments to a humid environment.
Since type II pigments lack the protective silicon dioxide barrier, their exposed complexes will degrade more readily when contacting water molecules compared to the protected complexes in type I pigments.
This sets up a direct, non-speculative comparison of their expected degradation under humid conditions.
3
Evaluate the choices to find the one that directly matches this logical deduction.
The option asserting that type II paintings will experience higher rates of pigment degradation than type I paintings do.
This completes the text's contrast logically using only the provided facts.

Anahtar Kavram

Logical Inferences
Soru 2493Soru

While preparing a presentation on geomorphology, a student took the following notes:
* Lichenometry is a scientific method used to estimate the age of exposed rock surfaces.
* It relies on measuring the growth of specific lichen species.
* Austrian scientist Roland Beschel developed the technique in the 1950s.
* It is commonly applied in geomorphology and archaeology.
* It helps researchers date geological events like rockfalls and historical structures.

The student wants to introduce lichenometry to an audience unfamiliar with the technique. Which choice most effectively uses information from the given notes to accomplish this goal?

Cevabı ve açıklamayı göster

Cevap: Lichenometry, a scientific method developed in the 1950s by Roland Beschel, estimates the age of exposed rock surfaces by measuring the growth of specific lichen species.

Cevap

Lichenometry, a scientific method developed in the 1950s by Roland Beschel, estimates the age of exposed rock surfaces by measuring the growth of specific lichen species.
The correct option effectively introduces lichenometry to an unfamiliar audience by naming the method, defining what it does (estimating the age of exposed rock surfaces), and explaining how it works (measuring the growth of specific lichen species).

Adım Adım Çözüm

1
Analyze the rhetorical goal in the prompt.
The goal is to introduce lichenometry to an audience unfamiliar with the technique. This requires naming the term, defining what it is, and explaining how it works.
Identifying the goal helps filter out choices that focus only on secondary details like history or applications without defining the core concept.
2
Evaluate the notes to determine the key elements of the definition.
Lichenometry is a method to estimate the age of rock surfaces by measuring the growth of lichens.
These details must be synthesized in the correct choice to successfully introduce the topic.
3
Compare the options against the criteria.
The option starting with 'Lichenometry, a scientific method' is the only one that names 'lichenometry', defines it as a method to estimate the age of rock surfaces, and explains that it does so by measuring lichen growth.
This option satisfies the rhetorical goal of introducing the concept to a new audience using only the provided facts.

Anahtar Kavram

Rhetorical Synthesis: Introduction and Definition
Soru 2494Soru

The Venus flytrap (*Dionaea muscipula*) employs a sophisticated mechanism to avoid wasting energy on non-prey stimuli, such as falling raindrops or windblown debris. The plant's trap consists of two lobes with sensitive trigger hairs on their inner surfaces. In order to initiate closure, a stimulus must touch two different hairs within a twenty-second window, or a single hair twice in rapid succession. This dual-touch requirement prevents the leaf from snapping shut on inanimate objects that are unlikely to trigger a second contact. Consequently, the plant conserves its limited metabolic resources for actual prey capture and digestion.

Which choice best describes the function of the underlined sentence in the text as a whole?

Cevabı ve açıklamayı göster

Cevap: It describes the specific mechanical conditions required to trigger the trap, illustrating how the plant avoids closing on non-prey stimuli.

Cevap

The choice stating that the sentence describes the specific mechanical conditions required to trigger the trap, illustrating how the plant avoids closing on non-prey stimuli, is correct.
The correct answer accurately identifies the role of the underlined sentence as describing the physical conditions required to trigger the trap, which directly explains the mechanism that prevents the plant from closing on non-prey stimuli.

Adım Adım Çözüm

1
Analyze the purpose of the passage as a whole.
The passage explains how the Venus flytrap conserves energy by not closing its trap on non-prey stimuli like rain or wind.
To understand the context and main focus of the text before assessing how the specific part contributes to it.
2
Identify the specific content of the underlined sentence.
The underlined sentence describes the sensory requirements for closure: touching two different hairs in twenty seconds or one hair twice quickly.
To define the precise function of the part being tested.
3
Relate the underlined sentence to the sentences that precede and follow it.
The preceding sentences introduce the need to avoid non-prey stimuli, and the subsequent sentences explain how this dual-touch mechanism accomplishes that goal. Thus, the underlined sentence provides the mechanical details of the triggering system.
To determine the part-to-whole relationship and identify the correct option.

Anahtar Kavram

Part-to-Whole Rhetorical Function
Tahmini Süre:1m 15s
Soru 2495Soru

The graph of the quadratic function ff in the xyxy-plane is a parabola. If f(3)=2f(-3) = -2 and f(7)=2f(7) = -2, what is the xx-coordinate of the vertex of the parabola?

Cevabı ve açıklamayı göster

Cevap: 2

Cevap

The correct answer is 2, since the vertex lies on the axis of symmetry, which is the midpoint of the symmetric x-coordinates.
The vertex of a parabola in the xyxy-plane lies on its axis of symmetry. For any quadratic function, points with the same yy-coordinate are symmetric with respect to the axis of symmetry. Since f(3)=2f(-3) = -2 and f(7)=2f(7) = -2, the yy-coordinates are equal, which means the axis of symmetry is the vertical line midway between x=3x = -3 and x=7x = 7. The xx-coordinate of the vertex is the midpoint of these two xx-values, calculated as 3+72=2\frac{-3 + 7}{2} = 2.

Adım Adım Çözüm

1
Identify the two points on the parabola with the same y-value.
The points are (3,2)(-3, -2) and (7,2)(7, -2).
Since both points share the same y-value of 2-2, they are symmetric with respect to the axis of symmetry of the parabola.
2
Find the x-coordinate of the axis of symmetry by calculating the midpoint of the x-coordinates of the two symmetric points.
Midpoint=3+72=42=2\text{Midpoint} = \frac{-3 + 7}{2} = \frac{4}{2} = 2.
The axis of symmetry is always located exactly halfway between any two symmetric points on the parabola.
3
Determine the x-coordinate of the vertex of the parabola.
The x-coordinate of the vertex is 2.
The vertex of a parabola lies on its axis of symmetry, so its x-coordinate is equal to the x-coordinate of the axis of symmetry.

Anahtar Kavram

Symmetry of quadratic graphs and the axis of symmetry

Alternatif Yöntem

Alternatively, any quadratic function that takes the value 2-2 at x=3x = -3 and x=7x = 7 can be written in the form f(x)=a(x+3)(x7)2f(x) = a(x + 3)(x - 7) - 2 for some constant aa. Expanding this expression yields f(x)=a(x24x21)2f(x) = a(x^2 - 4x - 21) - 2. Since the xx-coordinate of the vertex of a quadratic function in standard form y=ax2+bx+cy = ax^2 + bx + c is given by b2a-\frac{b}{2a}, we can find the vertex xx-coordinate as 4a2a=2-\frac{-4a}{2a} = 2.
Tahmini Süre:1m 30s
Soru 2496Soru

An acute angle θ\theta in a right triangle satisfies cos(θ)=35\cos(\theta) = \frac{3}{5}. If ϕ\phi is the other acute angle of the triangle, what is the value of sin(ϕ)tan(θ)\sin(\phi) \tan(\theta)?

Cevabı ve açıklamayı göster

Cevap: 45\frac{4}{5}

Cevap

four-fifths
The correct answer is four-fifths. Because θ\theta and ϕ\phi are complementary angles in a right triangle, sin(ϕ)\sin(\phi) equals cos(θ)\cos(\theta), which is given as three-fifths. Using the Pythagorean identity, sin(θ)\sin(\theta) is four-fifths, making tan(θ)\tan(\theta) equal to four-thirds. Multiplying sin(ϕ)\sin(\phi) and tan(θ)\tan(\theta) gives three-fifths times four-thirds, which simplifies to four-fifths.

Adım Adım Çözüm

1
Use the complementary angle relationship to find sin(ϕ)\sin(\phi).
sin(ϕ)=cos(θ)=35\sin(\phi) = \cos(\theta) = \frac{3}{5}
The two acute angles in a right triangle, θ\theta and ϕ\phi, sum to 9090^\circ. Therefore, the sine of one angle equals the cosine of the other.
2
Find sin(θ)\sin(\theta) using the Pythagorean identity.
sin(θ)=45\sin(\theta) = \frac{4}{5}
Since sin2(θ)+cos2(θ)=1\sin^2(\theta) + \cos^2(\theta) = 1, we have sin2(θ)+(35)2=1\sin^2(\theta) + \left(\frac{3}{5}\right)^2 = 1, which gives sin2(θ)=1625\sin^2(\theta) = \frac{16}{25}. Because θ\theta is acute, sin(θ)=45\sin(\theta) = \frac{4}{5}.
3
Calculate tan(θ)\tan(\theta) using the quotient identity.
tan(θ)=43\tan(\theta) = \frac{4}{3}
By definition, tan(θ)=sin(θ)cos(θ)=4/53/5=43\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} = \frac{4/5}{3/5} = \frac{4}{3}.
4
Multiply sin(ϕ)\sin(\phi) by tan(θ)\tan(\theta).
sin(ϕ)tan(θ)=45\sin(\phi) \tan(\theta) = \frac{4}{5}
Substitute the found values: sin(ϕ)tan(θ)=35×43=45\sin(\phi) \tan(\theta) = \frac{3}{5} \times \frac{4}{3} = \frac{4}{5}.

Anahtar Kavram

Trigonometric co-function identities and quotient identities in right triangles
Soru 2497Soru

In cognitive psychology, the concept of 'selective attention' refers to the human brain's ability to focus cognitive resources on a single sensory stimulus while successfully filtering out other competing inputs from the environment. _______, during a crowded and noisy social gathering, a person can easily maintain a coherent conversation with a single speaker while completely ignoring the surrounding cacophony of background chatter, music, and clinking glasses.

Which choice completes the passage with the most logical transition?

Cevabı ve açıklamayı göster

Cevap: For instance,

Cevap

For instance,
The correct option is 'For instance,' because the relationship between the two sentences is one of exemplification. The first sentence introduces the general cognitive concept of 'selective attention,' and the second sentence provides a specific, concrete example of how this attention works in a real-world setting (focusing on a conversation at a noisy party).

Adım Adım Çözüm

1
Analyze the relationship between the first and second sentences.
The first sentence defines 'selective attention' as focusing on one stimulus while filtering out others, while the second sentence describes a specific scenario (conversing in a noisy room) that demonstrates this cognitive ability.
Identifying the logical connection between the ideas is necessary to determine the appropriate transition category.
2
Classify the required transition relationship.
The second sentence serves as a concrete example of the general concept introduced in the first sentence, indicating that an exemplification transition is needed.
Knowing that the second sentence is an example guides the selection of the correct transition category.
3
Evaluate the choices to find the transition that fits this relationship.
'For instance,' is an exemplification transition, which perfectly matches the relationship, whereas the other options signal sequence, contrast, or addition.
Selecting the option that correctly represents the logical category of exemplification resolves the question.

Anahtar Kavram

Identifying transitions that signal elaboration or exemplification.
Soru 2498Soru

While preparing a presentation on earth science, a student took the following notes:
* Speleology is the scientific study of caves and other karst features, including their structure, biology, and formation.
* The term is derived from the Greek words spelaion (meaning "cave") and logos (meaning "study").
* Speleologists study speleothems, which are mineral deposits like stalactites and stalagmites.
* Édouard-Alfred Martel is considered the founder of modern speleology due to his extensive explorations in the late nineteenth century.
* In 1895, Martel established the Société de Spéléologie, the world's first cave exploration society.

The student wants to provide a definition of speleology. Which choice most effectively uses relevant information from the notes to accomplish this goal?

Cevabı ve açıklamayı göster

Cevap: Derived from the Greek words for "cave" and "study," speleology is the scientific study of caves and other karst features, encompassing their structure, biology, and formation.

Cevap

The option that defines speleology as the scientific study of caves and other karst features, derived from the Greek words for "cave" and "study".
The correct option successfully defines speleology as the scientific study of caves and other karst features, including their structure, biology, and formation, and notes its Greek roots. This directly fulfills the rhetorical goal of providing a definition.

Adım Adım Çözüm

1
Identify the goal of the prompt, which is to provide a definition of the term "speleology".
The focus must be on defining the term, rather than detailing its history, founders, or specific cave features.
This establishes the criteria for evaluating the choices based on the requested rhetorical goal.
2
Select the notes that contain definitional information.
Note 1 gives the definition of speleology, and Note 2 gives its etymology.
These notes directly address the meaning of the term speleology.
3
Evaluate the choices to see which one synthesizes these specific details to define the term.
The correct choice combines the scientific definition of speleology with its Greek roots to provide a clear definition, while the other choices focus on historical origins or speleothems.
This confirms which option accomplishes the goal without introducing irrelevant historical details.

Anahtar Kavram

Synthesizing notes to define a term or introduce a subject by selecting relevant details and avoiding goal neglect.
Tahmini Süre:1m 0s
Soru 2499Soru

The function ff is defined by f(x)=x6+3f(x) = |x - 6| + 3. In the xyxy-plane, the graph of the function gg is obtained by reflecting the graph of ff across the xx-axis and then translating it vertically upward by 11 units. If g(a)=0g(a) = 0 and a>0a > 0, what is the value of aa?

Cevabı ve açıklamayı göster

Cevap: 14

Cevap

The value of aa is 14.
Reflecting f(x)=x6+3f(x) = |x - 6| + 3 across the xx-axis negates the entire expression, giving f(x)=x63-f(x) = -|x - 6| - 3. Translating this graph upward by 11 units adds 11 to the expression, which yields g(x)=x63+11=x6+8g(x) = -|x - 6| - 3 + 11 = -|x - 6| + 8. Setting g(a)=0g(a) = 0 results in a6+8=0-|a - 6| + 8 = 0, which simplifies to a6=8|a - 6| = 8. The solutions to this equation are a=14a = 14 and a=2a = -2. Since the problem specifies that a>0a > 0, the correct answer is 14.

Adım Adım Çözüm

1
Reflect the function f(x)f(x) across the xx-axis.
f(x)=x63-f(x) = -|x - 6| - 3
Reflecting a graph across the xx-axis negates the entire function expression, transforming y=f(x)y = f(x) to y=f(x)y = -f(x).
2
Translate the reflected function upward by 11 units to obtain g(x)g(x).
g(x)=x6+8g(x) = -|x - 6| + 8
Translating a function vertically upward by kk units adds kk to the expression, so g(x)=f(x)+11=x63+11=x6+8g(x) = -f(x) + 11 = -|x - 6| - 3 + 11 = -|x - 6| + 8.
3
Set g(a)=0g(a) = 0 and solve for aa.
a6=8    a=14|a - 6| = 8 \implies a = 14 or a=2a = -2
Solving the equation a6+8=0-|a - 6| + 8 = 0 requires isolating the absolute value term to get a6=8|a - 6| = 8. This splits into two cases: a6=8a - 6 = 8 and a6=8a - 6 = -8.
4
Apply the constraint a>0a > 0 to identify the final answer.
a=14a = 14
The problem specifies that aa must be positive, which excludes the solution a=2a = -2 and leaves a=14a = 14.

Anahtar Kavram

Function transformations including reflections across the axes and vertical translations.
Tahmini Süre:1m 30s
Soru 2500Soru

For centuries, urban architecture was constrained by the load-bearing capacity of masonry walls, which required thicker bases to support taller structures. By introducing structural steel framing in the late nineteenth century, architects could distribute a building's weight to an internal skeleton rather than its exterior walls. This innovation allowed for unprecedented height and larger window openings, transforming city skylines. Consequently, the reliance on heavy stone foundations diminished, paving the way for the modern curtain-wall design that defines contemporary high-rises.

Which choice best describes the function of the underlined sentence in the text as a whole?

Cevabı ve açıklamayı göster

Cevap: It describes a technological development that resolved the architectural limitation mentioned in the first sentence.

Cevap

The correct option is the one stating that the underlined sentence describes a technological development that resolved the architectural limitation mentioned in the first sentence.
The first sentence of the passage states that urban architecture was constrained by the load-bearing capacity of masonry walls. The underlined sentence introduces structural steel framing as a technology that shifts weight to an internal skeleton, which directly resolves this load-bearing limitation. The rest of the passage then describes the results of this shift. Thus, the underlined sentence functions to describe a technological development that resolved the architectural limitation mentioned in the first sentence.

Adım Adım Çözüm

1
Identify the contextual constraint introduced at the start of the passage.
The first sentence states that architecture was historically constrained by the load-bearing limits of masonry walls.
This establishes the problem that the passage is addressing.
2
Analyze the role of the underlined sentence in relation to that constraint.
The underlined sentence explains that structural steel framing allowed weight to be distributed to an internal skeleton rather than the walls.
This directly describes how the previously mentioned constraint was overcome.
3
Examine the subsequent sentences to verify the logical flow.
The subsequent sentences detail the consequences of this steel-framing innovation (greater height, curtain-wall design).
This confirms that the underlined portion serves to introduce the pivotal solution that enabled these modern developments.

Anahtar Kavram

Analyzing the rhetorical function of a specific sentence within the broader context of a passage.
Tahmini Süre:1m 30s
ÖncekiSayfa 125 / 140Sonraki
Tüm alıştırma soruları — SAT | Examkin