Tüm alıştırma soruları

Evaluate the algebraic expression for the given variable values.

During their restoration of an 18th-century maritime map, paper conservators dusted the delicate brittle paper; repaired small tears, and documented the faint ink inscriptions.

Which choice best maintains standard written English punctuation conventions?

A software development company allocated its annual operating budget across three departments: Engineering, Marketing, and Customer Support. Exactly $\frac{2}{5}$ of the total budget was allocated to Engineering, and $35\%$ of the total budget was allocated to Marketing. If the remaining budget of $\$45,000$ was allocated to Customer Support, what was the company's total annual operating budget?

In a wildlife sanctuary habitat, the ratio of finches to sparrows is $3 : 5$, and the ratio of sparrows to thrushes is $2 : 3$. If there are $45$ thrushes in the habitat, what is the total number of finches, sparrows, and thrushes?

A customer satisfaction survey asked $25$ patrons at a local restaurant to rate their dining experience on a scale from $1$ (poor) to $5$ (excellent). The frequency table below summarizes the ratings collected:

What is the positive difference between the mean rating and the median rating of these $25$ patrons?

Read the following passage carefully:

In 1912, metallurgist Dr. Samuel Albright published his landmark treatise on copper-nickel corrosion resistance in naval boilers, a work that solidified his reputation in maritime engineering. However, his foundational breakthroughs had begun years earlier during his 1904 fellowship at the Glasgow Foundry, where he first observed how trace additions of iron altered alloy durability. Before departing for Scotland, Albright had served as an assistant chemist at the Portsmouth Dockyard, where he conducted routine stress tests on standard brass fittings from 1899 to 1903. It was not until 1908, four years after his Scottish observations, that he synthesized experimental forged samples in his private London laboratory, securing the empirical data required for his treatise.

Based on the passage, which of the following events occurred AFTER Albright observed the effects of iron additions at the Glasgow Foundry, but BEFORE he published his landmark treatise?

Read the following passage carefully:

Prior to launching the Deep Trench Hydrothermal Survey in 2015, marine geologist Dr. Aris Thorne spent over a decade refining deep-sea core sampling protocols. His interest in benthic sediments began in 2001 during an undergraduate expedition off the coast of Iceland. In 2008, three years after earning his master's degree in sedimentology, Dr. Thorne published a preliminary paper on abyssal clay composition that attracted international attention. That publication led directly to his appointment as chief researcher at the Oceanic Institute in 2010. However, as Dr. Thorne noted in a 2022 retrospective, his team's most vital instrument—a high-pressure core extraction cylinder—was designed and patented in 2006, well before his appointment at the Institute.

Based on the passage, place the following events from Dr. Thorne's career in chronological order from earliest to latest.

A solar-powered charging station operates using two types of solar panels, Type A and Type B. The ratio of Type A panels to Type B panels installed at the station is $5 : 3$. Each Type A panel generates $24$ watt-hours of energy per hour, and each Type B panel generates $40$ watt-hours of energy per hour. If there are a total of $48$ solar panels installed at the station, how many total watt-hours of energy do all the panels generate combined in one hour?

A container holds $40$ marbles, each of which is red, blue, or green. The probability of randomly drawing a red marble from the container is $\frac{2}{5}$. Among the remaining marbles, the ratio of blue marbles to green marbles is $1:3$. If one marble is selected at random from the container, what is the probability that it is green?

Dendrochronologists studying structural timbers in medieval cathedrals analyze annual growth rings to determine exact felling dates. Variations in ring width reflect past climatic conditions, providing a high-resolution record of local rainfall fluctuations. These precise growth patterns allow researchers to date architectural modifications with remarkable accuracy, however, unseasonal weather anomalies can sometimes complicate the tree-ring alignment. By cross-referencing multiple timber samples from the same region, scholars can nevertheless resolve these discrepancies.

Which choice best resolves the grammatical error in the underlined portion?

Glaciologists studying Subglacial Lake Whillans in Antarctica recently recovered water samples from beneath eight hundred meters of ice, discovering diverse microbial ecosystems that thrive without sunlight. These extremophile bacteria rely on chemical energy derived from bedrock minerals, however, their discovery expands our understanding of potential life in icy environments across the solar system. Further analysis of sediment cores suggests that these organisms have remained isolated for thousands of years.

Which choice best completes the sentence to conform to the conventions of standard written English?

A marine biologist conducted an experiment to investigate how varying water salinity affects the bioluminescence of the dinoflagellate *Pyrocystis fusiformis*. Four identical $500\text{ mL}$ cultures were maintained at $22^\circ\text{C}$ with a cell density of $1,000\text{ cells/mL}$. Each culture was exposed to a different salinity level ($20\text{ PSU}$, $25\text{ PSU}$, $30\text{ PSU}$, and $35\text{ PSU}$) and subjected to identical mechanical agitation to induce bioluminescence, after which the peak light intensity was measured.

Match each experimental component listed on the left to its corresponding variable classification on the right.

A solar power plant generated a total of $480\text{ megawatt-hours (MWh)}$ of energy in one month. Of this total, $\frac{2}{5}$ was stored in battery banks, $0.35$ was supplied directly to an industrial facility, and the remaining portion was delivered to residential homes. How many megawatt-hours of energy were delivered to residential homes?

A materials science research group conducted an experiment to analyze the photo-degradation of polylactic acid (PLA) films. Four identical $0.5\text{ mm}$ thick PLA samples were placed into separate sealed test chambers, each maintained at a constant temperature of $25^\circ\text{C}$ and relative humidity of $50\%$. Each sample was exposed to a different UV-C radiation intensity ($2.0$, $4.0$, $6.0$, and $8.0\text{ W/m}^2$) for 48 hours, after which the percentage reduction in sample mass was measured.

Which of the following correctly identifies the independent variable and the dependent variable in this experiment?

In the standard $(x, y)$ coordinate plane, a circle is defined by the equation $x^2 + y^2 - 8x + 10y + k = 0$, where $k$ is a constant. If the circle is tangent to the $y$-axis, what is the value of $k$?

A community garden supervisor distributes a total of $d$ pounds of organic compost equally among $8$ raised garden beds. If each bed receives exactly $14.5$ pounds of compost, which of the following equations can be solved to find $d$?

If $x = -2$ and $y = 3$, what is the value of the algebraic expression $3x^2 - y^2 + 4x$?

The novel turbine design significantly reduced noise pollution during field trials, yet engineers continued to refine the blade geometry to maximize energy capture.

Which of the following choices produces a grammatically correct sentence?

A commercial diver descends at a constant rate of $2.5$ meters per second. If the diver's total change in depth after $t$ seconds is $-85$ meters, which of the following equations can be solved to find $t$?

Experiment 1

Students set up a capillary potometer to measure the rate of water uptake (transpiration) by a leafy plant shoot under different light intensities. The apparatus consists of a plant stem fitted tightly into a water-filled glass tube connected horizontally to a calibrated capillary tube containing a single air bubble. Attached above the capillary tube is a water reservoir controlled by a stopcock valve.

Based on the described experimental setup, which of the following best explains the purpose of including the water reservoir and stopcock valve in this apparatus?