Tüm alıştırma soruları

For decades, cognitive psychologists hypothesized that bilingualism confers a general executive function advantage, enhancing cognitive flexibility and working memory. Early studies frequently reported that bilingual individuals outperformed monolinguals on tasks requiring attention control. However, recent large-scale replication attempts have struggled to consistently reproduce these findings, with several studies showing no significant differences between the two groups. This discrepancy has led researchers to propose that the bilingual advantage may not be a universal phenomenon but rather one moderated by specific contextual factors, such as the age of acquisition and the degree of daily language switching.

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

For an acute angle $\theta$, $\cos(\theta) = \frac{5}{13}$. What is the value of $5\tan(\theta) + 13\sin(\theta)$?

A researcher wants to estimate the proportion of registered voters in a county who support a proposed sales tax increase. The county has $50,000$ registered voters. The researcher randomly selects $400$ registered voters from a list of those who voted in the most recent school board election. Of the selected voters, $60\%$ support the proposed tax increase. Which of the following is the most appropriate conclusion?

For an acute angle $\theta$, the sum of its sine and cosine is $\frac{\sqrt{7}}{2}$. What is the value of $\sin^3(\theta) + \cos^3(\theta)$?

A municipal library system models the growth of its e-book collection at two different branches. At the start of the year ($t = 0$ months), Branch A and Branch B each have $1,000$ e-books. The number of e-books at Branch A increases by $150$ e-books each month. The number of e-books at Branch B increases by $20\%$ each month. What is the difference between the number of e-books at Branch B and the number of e-books at Branch A at $t = 3$ months?

A laboratory technician prepares a liquid mixture by combining compound $X$, compound $Y$, and water. The ratio of the volume of compound $X$ to the volume of compound $Y$ is $3$ to $5$, and the ratio of the volume of compound $Y$ to the volume of water is $2$ to $3$. If the technician prepares a total of $1,240$ milliliters of the mixture, how many milliliters of compound $Y$ are in the mixture?

While many plant species rely on vibrant flower colors to attract specific insect pollinators, the wild ginger (*Asarum canadense*) produces inconspicuous, brown blossoms that grow close to the ground, hidden beneath leaf litter. Early botanists hypothesized that these dull flowers were self-pollinating or relied entirely on crawling insects like ants. __________, recent video-tracking studies show that fungus gnats, flying insects attracted by the flower's fungus-like odor, are the primary pollinators of the plant.

Which choice completes the text with the most logical transition?

For an acute angle $\theta$, the equation $2\cos^2(\theta) - 5\sin(\theta) + 1 = 0$ is true. What is the value of $\sin(\theta)$?

Cathedral termites (*Nasutitermes triodiae*) build massive mounds in northern Australia that can reach heights of up to eight meters. These structures are designed to maintain a stable internal environment despite external temperature fluctuations. To regulate internal carbon dioxide levels, the termites construct a complex network of flutes and ventilation shafts on the northern, sun-facing side of the mound. Research by biologist Dr. Fiona Vance demonstrates that these shafts rely on solar heating of the mound's outer walls to drive convective air currents, which continuously flush out stale air. Conversely, the subterranean nesting chambers remain sealed off from this ventilation loop to preserve the high humidity levels required for the survival of the termite larvae.

Based on the text, what is true of the ventilation shafts in the mounds of *Nasutitermes triodiae*?

Environmental scientists often employ bioremediation strategies that utilize specialized microorganisms to break down pollutants, converting hazardous chemicals into non-toxic byproducts. ________, researchers frequently deploy the marine bacterium *Alcanivorax borkumensis* during ocean oil spill cleanups because it produces unique enzymes that consume hydrocarbons, effectively transforming the contaminants into harmless fatty acids.

Which choice completes the text with the most logical transition?

For an acute angle $x$ measured in degrees, $\sin(x) - \sin(90^\circ - x) = \frac{1}{5}$. What is the value of $12(\tan(x) + \tan(90^\circ - x))$?

A circle has a radius of $10$. A shaded sector of the circle has an area of $10\pi$. What is the measure, in degrees, of the central angle of the shaded sector?

A municipal utility department wants to estimate the number of residential water service lines that contain lead in a community with $3,600$ homes. The department selects a random sample of $120$ homes and inspects their water service lines. The inspection reveals that $9$ of the sampled homes have lead service lines. Based on the results of this sample, what is the estimated number of homes in the entire community that have lead service lines?

A right triangle has acute angles $P$ and $R$. The sine of angle $P$ is defined by $\frac{a}{13}$ and the cosine of angle $R$ is $\frac{5}{13}$, where $a$ is a positive constant. What is the value of $\sin(R)$?

In the field of ethnomusicology, researchers document oral traditions that are at risk of being lost. The transcription of complex polyphonic songs performed by Georgian folk ensembles _______ a deep familiarity with regional dialects and tuning systems. Without this specialized knowledge, scholars struggle to accurately represent the microtonal variations unique to each performance. Which choice completes the text so that it conforms to the conventions of Standard English?

In a 2018 study of the ancient city of Teotihuacan, archaeologist Linda Manzanilla analyzed the isotopic composition of human remains from different neighborhoods. She discovered that individuals buried in the multiethnic neighborhood center of Teopancazco consumed a diet rich in marine resources, such as fish and shellfish, which were imported from the Gulf Coast. In contrast, remains from the wealthier neighborhood of Tlajinga showed a diet dominated by terrestrial resources, specifically maize and small game. Manzanilla concluded that residents of poorer, multiethnic sectors had access to long-distance trade networks that supplied coastal foods, whereas wealthier enclave residents relied primarily on local agricultural production.

Based on the text, what is true of the diet of the individuals buried in Teopancazco?

A construction project requires a specific concrete mixture made by combining cement, sand, and gravel in a ratio of $1 : 2 : 4$ by weight. A builder needs to prepare exactly $350$ pounds of this concrete mixture. If the builder currently has $80$ pounds of sand and an unlimited supply of cement and gravel, how many additional pounds of sand must the builder purchase to make the concrete mixture?

In behavioral economics, the endowment effect describes the tendency of individuals to value an item more highly simply because they own it. Early researchers hypothesized that this cognitive bias was a universal human trait shaped by evolutionary adaptation. ________, subsequent cross-cultural studies conducted by anthropologists have revealed that the effect is significantly less pronounced, and in some cases entirely absent, among populations in non-industrialized societies that practice communal ownership.

Which choice completes the text with the most logical transition?

A polynomial $f(x)$ is defined by $f(x) = 2x^3 + hx^2 - 7x - 6$, where $h$ is a constant. If the graph of $y = f(x)$ in the $xy$-plane passes through the point $(2, 0)$, what is the value of $h$?

Which choice completes the text with the most logical and precise word or phrase?