Tüm alıştırma soruları

294 soru

Soru 201Soru

The following passage explores the debate surrounding the 'Early Anthropocene Hypothesis.'

For decades, the consensus among geologists and climatologists was that human activity began to alter the global climate only with the advent of the Industrial Revolution in the late eighteenth century. According to this traditional view, the burning of fossil fuels and large-scale manufacturing marked the definitive boundary of the Anthropocene. However, in 20032003, climatologist William Ruddiman proposed the controversial 'Early Anthropocene Hypothesis,' shifting this timeline back by thousands of years. Ruddiman argued that early agricultural practices initiated a slow, sustained warming trend that prevented the onset of a scheduled glacial period.

To construct his argument, Ruddiman first analyzed ice core data from Antarctica, which records historical levels of greenhouse gases. Over the past several hundred thousand years, carbon dioxide (CO2CO_2) and methane (CH4CH_4) levels consistently peaked during warm interglacial periods and then gradually declined due to predictable variations in Earth's orbit. Yet, Ruddiman noticed a distinct departure from this natural pattern: approximately 80008{}000 years ago, atmospheric CO2CO_2 levels unexpectedly began to rise, followed by a similar upward trajectory in CH4CH_4 levels around 50005{}000 years ago.

Having identified these anomalies, Ruddiman sought to establish a causal link to human action. He proposed that the rising CO2CO_2 resulted from massive deforestation as early European farmers cleared land for agriculture. The subsequent rise in CH4CH_4 was attributed to the expansion of wet-rice cultivation in Southeast Asia, which created artificial wetlands that released large volumes of the gas.

Critics of the hypothesis argued that early human populations were too small to generate such global effects, suggesting instead that natural changes in ocean circulation and solar output drove the warming. In response, Ruddiman and his supporters refined their models, demonstrating that early agricultural techniques were highly inefficient, requiring far more land per person than modern farming. By showing that a small population could cause disproportionately high deforestation, Ruddiman successfully defended the chronological progression of his argument, establishing a new framework for understanding human-environmental history.

Based on the passage, arrange the following steps in the development and defense of William Ruddiman’s Early Anthropocene Hypothesis in their logical chronological order, from the initial scientific observations to the final counter-defense.

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The correct sequence begins with the observation of greenhouse gas anomalies in ice cores, followed by the formulation of the Early Anthropocene Hypothesis, then the identification of specific agricultural practices (deforestation and wet-rice cultivation) to explain the gases, and finally the refutation of population size criticisms through early land-use inefficiency models.
The correct ordering traces the logical development of the argument: Ruddiman first analyzed ice core data to observe greenhouse gas anomalies deviating from natural cycles; next, he proposed the Early Anthropocene Hypothesis; then, he established causal mechanisms by linking carbon dioxide and methane increases to deforestation and wet-rice cultivation; and finally, he defended the hypothesis from critics by demonstrating early land-use inefficiency.

Adım Adım Çözüm

1
Locate the beginning of Ruddiman's scientific process in the passage.
The second paragraph states that Ruddiman 'first analyzed ice core data' and noticed a 'distinct departure' from natural orbital cycles in greenhouse gas levels.
This establishes the observation of anomalous greenhouse gas trends as the starting point of his argument.
2
Trace the formulation of the overarching hypothesis.
The first paragraph introduces his 'Early Anthropocene Hypothesis,' which argues that early agricultural practices initiated a warming trend that prevented a scheduled glacial period.
This shows he developed the general claim that early farming altered global climate patterns following the observations of anomalous data.
3
Identify the causal mechanisms proposed to connect the anomalies to human behavior.
The third paragraph explains that to establish a causal link, he proposed that deforestation caused the carbon dioxide rise and wet-rice cultivation caused the methane rise.
This links the general hypothesis to specific evidence of human activities.
4
Locate his response to the critiques of his hypothesis.
The fourth paragraph describes how critics questioned the scale of early populations, and Ruddiman responded by demonstrating that early agricultural techniques were highly inefficient, requiring massive land clearance.
This defends the chronological progression and validity of his argument against counter-arguments.

Anahtar Kavram

Identifying the logical progression of an author's argument and the sequencing of supporting evidence.
Tahmini Süre:3m 0s
Soru 202Soru

The following passage explores the scientific debate surrounding the origins of Earth's water.

For decades, planetary scientists widely accepted the 'late veneer' hypothesis to explain the origin of Earth’s oceans. According to this model, early Earth was entirely dry due to the high-temperature conditions of the inner solar nebula, which would have vaporized any volatile compounds. Water, therefore, must have been delivered to the surface after the planet had fully accreted and cooled, presumably during the Late Heavy Bombardment around 3.93.9 billion years ago. The primary candidates for this delivery were comets—icy remnants of the early solar system originating from the outer reaches, where water could easily freeze and accumulate.

However, this comet-delivery model faced a critical setback with the advent of direct space-probe measurements. In 19861986, the Giotto mission measured the deuterium-to-hydrogen (D/HD/H) ratio in the water of Halley's Comet. Scientists discovered that Halley’s water had a D/HD/H ratio roughly twice that of Earth’s oceans. Subsequent missions to other comets, including the Rosetta mission to Comet 67P in 20142014, confirmed this discrepancy: comet water is isotopically heavier than terrestrial water. Because the isotopic signature of water does not change over geological time, comets could not have been the primary source of Earth’s oceans.

This geochemical mismatch prompted a reevaluation of carbonaceous chondrite meteorites as the true carriers of terrestrial water. Originating from the outer asteroid belt, these meteorites contain water bound in hydrated clay minerals. Isotopic analyses of carbonaceous chondrites revealed that their D/HD/H ratios match Earth’s ocean water almost perfectly. This suggested that water delivery occurred earlier than previously thought, during the main phase of Earth’s accretion, rather than as a late addition.

This chondritic origin has been further reinforced by recent analyses of deep mantle rocks. Geochemists studying volcanic glass from Baffin Island discovered hydrogen isotopic signatures in Earth's deep mantle that are even lower than those of chondrites. This evidence suggests that a significant portion of Earth's water was present in the dust cloud from which the planet formed, trapped within the Earth since its accretion. Thus, the narrative has shifted from late cometary bombardment to early, endogenous water accumulation.

Based on the passage, arrange the phases of the scientific debate regarding the origin of Earth's water in the order they are presented, tracing the progression from the initial hypothesis to the most recent findings.

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The correct order begins with the initial cometary hypothesis, followed by the space-probe measurements that disproved it, then the shift to the carbonaceous chondrite model, and finally the recent deep-mantle rock evidence indicating an endogenous origin.
The passage presents the scientific debate in a linear logical progression. It starts with the cometary delivery theory, explains why space-probe measurements undermined it, details the subsequent proposal of the carbonaceous chondrite theory, and finishes with the most recent deep mantle rock evidence that supports an endogenous origin. The correct sequence directly follows this chronological and logical structure.

Adım Adım Çözüm

1
Analyze the first paragraph to identify the initial model.
The first paragraph outlines the 'late veneer' hypothesis, which posits that comets brought water to Earth during the Late Heavy Bombardment.
Establishing the starting point of the argument is essential to trace its progression.
2
Analyze the second paragraph to identify how the initial model was challenged.
The second paragraph explains that space probes (like Giotto and Rosetta) found that cometary water has a higher deuterium-to-hydrogen ratio than Earth's ocean water, rendering the comet hypothesis unlikely.
This shows the transition from the accepted hypothesis to its refutation based on new empirical evidence.
3
Analyze the third paragraph to identify the proposed alternative.
The third paragraph describes how scientists turned to carbonaceous chondrites, whose deuterium-to-hydrogen ratios match Earth's oceans and suggest water delivery during early accretion.
This establishes the new candidate source that replaced comets in the argument's development.
4
Analyze the fourth paragraph to identify the latest refinement.
The fourth paragraph describes how volcanic glass from Baffin Island revealed deep mantle hydrogen signatures suggesting that Earth's water was endogenous, present in the primordial dust cloud.
This identifies the final, most modern development in the argument's evolution.

Anahtar Kavram

Argument development and evidence sequencing in a reading passage
Tahmini Süre:2m 0s
Soru 203Soru

Suppose a scientist wants to modify an electroplating procedure to isolate the specific effect of temperature on the deposition rate of copper and determine the activation energy of the reaction. The scientist must ensure that concentration depletion and current fluctuations do not confound the results. Arrange the following steps in the correct chronological order to design and execute this modified follow-up experiment.

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The correct chronological sequence begins with preparing the high-volume electrolyte bath to maintain constant concentration. Next, preliminary trials are run to determine the optimal constant current. Once the current is established, the temperature-controlled trials are executed. After the trials, the deposited mass is measured to calculate rates. Finally, these rates are plotted against the reciprocal of absolute temperature to calculate the activation energy.
The correct sequence begins with preparing the high-volume electrolyte bath to ensure concentration remains constant. Next, preliminary trials must be run to determine the optimal current. Once the current is established, the temperature-controlled trials are executed. After completing the trials, the mass of deposited copper is measured to calculate rates. Finally, these rates are plotted to calculate activation energy.

Adım Adım Çözüm

1
Prepare the constant concentration electrolyte bath.
Maintains a stable chemical environment.
This must be done first so that all subsequent trials, including preliminary calibration, use the same electrolyte concentration.
2
Run preliminary trials to select the operating current.
Determines the optimal constant current value.
A constant current must be selected prior to running the main experimental trials to properly control this variable.
3
Execute the temperature-controlled trials.
Generates copper deposition at different temperatures.
This step uses the selected current and prepared bath to collect raw data across the independent temperature variable.
4
Measure mass and calculate deposition rates.
Obtains the rate of deposition for each temperature.
The rate data is the dependent variable required for the final activation energy calculation.
5
Construct an Arrhenius plot.
Determines the activation energy.
This final analytical step uses the rates calculated from the trials to perform the mathematical analysis.

Anahtar Kavram

Isolating independent variables and controlling confounding factors in a multi-step sequence for follow-up experimental design.
Tahmini Süre:3m 0s
Soru 204Soru

A student wants to modify an experiment measuring sugar solubility in water to determine the effect of higher temperatures (40C40^\circ\text{C}, 60C60^\circ\text{C}, and 80C80^\circ\text{C}) on the mass of dissolved sugar. Arrange the steps of this modified procedure in the correct chronological order from start to finish.

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Cevap

The correct order of steps for the modified experiment is first heating the water to a target temperature, next adding sugar until it no longer dissolves, then measuring and recording the mass of the dissolved sugar, and finally repeating these steps for the other temperatures.
The correct order follows a logical experimental procedure for measuring solubility at different temperatures: first, establishing the independent variable (temperature) by heating the water; second, performing the test by adding sugar to saturation; third, measuring the dependent variable (mass of dissolved sugar); and fourth, repeating the process for other levels of the independent variable (other temperatures) while controlling other factors.

Adım Adım Çözüm

1
Identify the first step in conducting a solubility test at a specific temperature.
The water sample must be heated to the target temperature (40C40^\circ\text{C}, 60C60^\circ\text{C}, or 80C80^\circ\text{C}) before adding sugar.
Dissolving sugar at the correct starting temperature ensures the solubility measurement is accurate for that temperature.
2
Determine the next physical step in the dissolution process.
Sugar is added incrementally and stirred until the solution becomes saturated.
Saturating the solution is necessary to find the maximum limit of solubility at that temperature.
3
Determine the measurement step that follows saturation.
Measure and record the total mass of sugar dissolved.
Recording the mass at the end of the trial provides the data point for that specific temperature.
4
Determine the final step to complete the study across the full temperature range.
Repeat the entire procedure for the remaining temperatures while keeping the water volume constant.
Testing all temperatures under controlled conditions allows for a valid comparison of solubility trends.

Anahtar Kavram

To modify an experiment to test a new range of an independent variable (temperature), one must systematically heat the solvent, dissolve the solute to saturation, measure the mass, and repeat the process under controlled conditions for all remaining values of the independent variable.
Soru 205Soru

Suppose a student wants to modify an experiment measuring the evaporation rate of salt water (200 mL200\text{ mL} of 5%5\% saline solution heated by a 100 W100\text{ W} heat lamp placed 30 cm30\text{ cm} above the beaker in a draft-free room) to determine the specific impact of wind speed on the evaporation rate, while ensuring that the thermal energy input and other variables remain controlled. Arrange the following steps in the correct chronological sequence to successfully conduct this follow-up experiment.

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The correct chronological sequence is: first, prepare the three identical saline solution beakers; second, position the heat lamp and the variable-speed fan at fixed distances relative to the beaker; third, select the wind speed setting and start the fan and lamp; and fourth, record the mass of the beaker at ten-minute intervals over one hour.
The correct sequence begins with preparing the identical solutions to establish controlled initial parameters. Next, the physical apparatus must be positioned to control the heat lamp distance and fan distance. Then, the specific wind speed is chosen and the trial is started by turning on the equipment. Finally, the mass is measured at regular intervals to track the evaporation rate.

Adım Adım Çözüm

1
Prepare identical samples to control initial conditions.
Three beakers with equal volume (200 mL200\text{ mL}) and concentration (5%5\%) of saline solution.
Ensures that differences in evaporation are due only to the wind speed, not variations in initial volume or salinity.
2
Set up the physical apparatus with controlled physical dimensions.
The beaker, heat lamp (30 cm30\text{ cm} away), and fan (50 cm50\text{ cm} away) are positioned in a stable, repeatable configuration.
Ensures the heat energy delivered to the solution is constant across all trials, and the fan's physical distance does not vary.
3
Apply the independent variable (wind speed) and start the experimental conditions.
The trial begins under a specific, constant wind speed with simultaneous heating.
Allows the evaporation process to begin under the selected test condition.
4
Measure and record the dependent variable over the specified duration.
Mass data at 1010, 2020, 3030, 4040, 5050, and 6060 minutes.
Provides the raw data necessary to calculate the rate of mass loss (evaporation rate) over time for that specific wind speed.

Anahtar Kavram

Designing a controlled follow-up experiment requires isolating the new independent variable (wind speed) by maintaining all original variables (lamp distance, initial salinity, and volume) constant, and sequencing the steps from sample preparation to final measurement.
Soru 206Soru

A team of astrophysicists modeled the equilibrium surface temperature, TT (in Kelvin, K\text{K}), of airless rocky planets orbiting a distant star. According to the model, the temperature is predicted by the following equation:

T=T0(1a)1/4D1/2T = T_0 (1 - a)^{1/4} D^{-1/2}

where:
- T0T_0 is a star-specific constant equal to 400 K400\text{ K}.
- aa is the planet's albedo (reflectivity), ranging from 0.00.0 to 1.01.0.
- DD is the planet's distance from the star in astronomical units (AU\text{AU}).

Based on this model, arrange the four planets (W, X, Y, and Z) shown in the diagram in order of their predicted equilibrium surface temperature, from lowest to highest.

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The correct order of the planets from lowest to highest predicted equilibrium surface temperature is Planet W, Planet X, Planet Y, and Planet Z.
Substituting the specific physical parameters into the model equation T=400(1a)1/4D1/2T = 400(1-a)^{1/4}D^{-1/2} yields the exact temperatures: 100 K100\text{ K} for Planet W, 200 K200\text{ K} for Planet X, 400 K400\text{ K} for Planet Y, and 800 K800\text{ K} for Planet Z, demonstrating an ascending sequence from W to Z.

Adım Adım Çözüm

1
Identify the parameters of each planet and analyze the model equation: T=T0(1a)1/4D1/2T = T_0 (1 - a)^{1/4} D^{-1/2}.
The constant T0=400 KT_0 = 400\text{ K}. Planet W has a=0.9375,D=4.0 AUa = 0.9375, D = 4.0\text{ AU}. Planet X has a=0.9375,D=1.0 AUa = 0.9375, D = 1.0\text{ AU}. Planet Y has a=0.0,D=1.0 AUa = 0.0, D = 1.0\text{ AU}. Planet Z has a=0.0,D=0.25 AUa = 0.0, D = 0.25\text{ AU}.
Listing the parameters clearly helps set up the mathematical calculations for comparison.
2
Calculate the predicted equilibrium temperature for Planet W and Planet X.
For Planet W, T=400(10.9375)1/4(4.0)1/2=400(0.0625)1/4(0.5)=400(0.5)(0.5)=100 KT = 400(1 - 0.9375)^{1/4}(4.0)^{-1/2} = 400(0.0625)^{1/4}(0.5) = 400(0.5)(0.5) = 100\text{ K}. For Planet X, T=400(10.9375)1/4(1.0)1/2=400(0.0625)1/4(1.0)=400(0.5)(1.0)=200 KT = 400(1 - 0.9375)^{1/4}(1.0)^{-1/2} = 400(0.0625)^{1/4}(1.0) = 400(0.5)(1.0) = 200\text{ K}.
Evaluating the fractional power (1/16)1/4=1/2(1/16)^{1/4} = 1/2 and distance roots allows us to determine the temperatures for high-albedo planets.
3
Calculate the predicted equilibrium temperature for Planet Y and Planet Z.
For Planet Y, T=400(10.0)1/4(1.0)1/2=400(1.0)(1.0)=400 KT = 400(1 - 0.0)^{1/4}(1.0)^{-1/2} = 400(1.0)(1.0) = 400\text{ K}. For Planet Z, T=400(10.0)1/4(0.25)1/2=400(1.0)(2.0)=800 KT = 400(1 - 0.0)^{1/4}(0.25)^{-1/2} = 400(1.0)(2.0) = 800\text{ K}.
Evaluating the model for the zero-albedo planets establishes their temperatures.
4
Compare the calculated temperatures to order the planets from lowest to highest.
Planet W (100 K100\text{ K}) < Planet X (200 K200\text{ K}) < Planet Y (400 K400\text{ K}) < Planet Z (800 K800\text{ K}). The order is Planet W, Planet X, Planet Y, Planet Z.
Arranging the numerical values in ascending order directly determines the correct sequence.

Anahtar Kavram

Applying mathematical models with fractional and negative exponents to predict and compare astronomical states.
Tahmini Süre:2m 0s
Soru 207Soru

During a biology experiment, a student measures the lengths of four different biological specimens. Based on these measurements, arrange the following specimens in order from smallest to largest length.

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Virus (40 nm40\text{ nm}), Bacterium (2.0 μm2.0\text{ }\mu\text{m}), Red blood cell (8.0 μm8.0\text{ }\mu\text{m}), Human hair diameter (0.1 mm0.1\text{ mm})
To arrange the specimens from smallest to largest, convert each value to meters using standard scientific notation. The prefix nano- represents 10910^{-9}, micro- represents 10610^{-6}, and milli- represents 10310^{-3}. Converting the values yields: Virus = 4.0×108 m4.0 \times 10^{-8}\text{ m}, Bacterium = 2.0×106 m2.0 \times 10^{-6}\text{ m}, Red blood cell = 8.0×106 m8.0 \times 10^{-6}\text{ m}, and Human hair = 1.0×104 m1.0 \times 10^{-4}\text{ m}. Comparing the exponents shows that the virus is the smallest, followed by the bacterium and the red blood cell (since both have an exponent of 6-6 and 2.0<8.02.0 < 8.0), and the human hair is the largest.

Adım Adım Çözüm

1
Convert all measurements to a common unit, meters (m\text{m}), using scientific notation.
Virus: 40 nm=40×109 m=4.0×108 m40\text{ nm} = 40 \times 10^{-9}\text{ m} = 4.0 \times 10^{-8}\text{ m}. Bacterium: 2.0 μm=2.0×106 m2.0\text{ }\mu\text{m} = 2.0 \times 10^{-6}\text{ m}. Red blood cell: 8.0 μm=8.0×106 m8.0\text{ }\mu\text{m} = 8.0 \times 10^{-6}\text{ m}. Human hair: 0.1 mm=0.1×103 m=1.0×104 m0.1\text{ mm} = 0.1 \times 10^{-3}\text{ m} = 1.0 \times 10^{-4}\text{ m}.
To compare physical sizes, they must be represented in the same base unit and format.
2
Compare the exponents of the values in scientific notation.
The exponents are 8-8 for the virus, 6-6 for both the bacterium and the red blood cell, and 4-4 for the human hair.
A smaller (more negative) exponent in scientific notation indicates a smaller value.
3
Compare values with the same exponent and arrange the entire list from smallest to largest.
Comparing the coefficients for the exponent 6-6: 2.0<8.02.0 < 8.0. Therefore, 2.0×106 m2.0 \times 10^{-6}\text{ m} is smaller than 8.0×106 m8.0 \times 10^{-6}\text{ m}. The final ordered list is: Virus, Bacterium, Red blood cell, and Human hair.
For values with the same exponent, compare their coefficients directly.

Anahtar Kavram

Converting metric units to scientific notation in base meters and comparing exponent values.
Soru 208Soru

A student in a materials science lab is analyzing the layers of a multi-junction solar cell. The thicknesses of the four distinct layers are measured using different units, as shown in the table below:

Layer NameThickness
Antireflective layer6.0×104 pm6.0 \times 10^4 \text{ pm}
Perovskite layer1.8×104 mm1.8 \times 10^{-4} \text{ mm}
Silicon layer3.5×107 m3.5 \times 10^{-7} \text{ m}
Contact layer4.2×102 nm4.2 \times 10^2 \text{ nm}

Based on these measurements, arrange the four solar cell layers by thickness from smallest to largest.

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The correct order of layers from smallest to largest thickness is: Antireflective layer, Perovskite layer, Silicon layer, and Contact layer.
By converting all measurements to standard meters, we get: Antireflective layer = 0.6×107 m0.6 \times 10^{-7} \text{ m}, Perovskite layer = 1.8×107 m1.8 \times 10^{-7} \text{ m}, Silicon layer = 3.5×107 m3.5 \times 10^{-7} \text{ m}, and Contact layer = 4.2×107 m4.2 \times 10^{-7} \text{ m}. Comparing these values yields the correct order from smallest to largest thickness: Antireflective, Perovskite, Silicon, and Contact.

Adım Adım Çözüm

1
Convert the thickness of the Antireflective layer to meters.
6.0×104 pm=6.0×104×1012 m=6.0×108 m=0.6×107 m6.0 \times 10^4 \text{ pm} = 6.0 \times 10^4 \times 10^{-12} \text{ m} = 6.0 \times 10^{-8} \text{ m} = 0.6 \times 10^{-7} \text{ m}
To compare the thicknesses, all values should be converted to the same standard unit (meters). One picometer (1 pm1 \text{ pm}) is equal to 1012 m10^{-12} \text{ m}.
2
Convert the thickness of the Perovskite layer to meters.
1.8×104 mm=1.8×104×103 m=1.8×107 m1.8 \times 10^{-4} \text{ mm} = 1.8 \times 10^{-4} \times 10^{-3} \text{ m} = 1.8 \times 10^{-7} \text{ m}
Convert millimeters to meters. One millimeter (1 mm1 \text{ mm}) is equal to 103 m10^{-3} \text{ m}.
3
Ensure the Silicon layer thickness is expressed in the same exponent scale.
3.5×107 m3.5 \times 10^{-7} \text{ m}
This value is already in meters with a 10710^{-7} exponent, making comparison straightforward.
4
Convert the thickness of the Contact layer to meters.
4.2×102 nm=4.2×102×109 m=4.2×107 m4.2 \times 10^2 \text{ nm} = 4.2 \times 10^2 \times 10^{-9} \text{ m} = 4.2 \times 10^{-7} \text{ m}
Convert nanometers to meters. One nanometer (1 nm1 \text{ nm}) is equal to 109 m10^{-9} \text{ m}.
5
Order the converted values from smallest to largest.
0.6×107 m<1.8×107 m<3.5×107 m<4.2×107 m0.6 \times 10^{-7} \text{ m} < 1.8 \times 10^{-7} \text{ m} < 3.5 \times 10^{-7} \text{ m} < 4.2 \times 10^{-7} \text{ m}
Comparing the coefficient values multiplied by 107 m10^{-7} \text{ m} allows ordering of the layers.

Anahtar Kavram

Expressing and comparing measurements by converting prefix units to a standard baseline unit using scientific notation.
Soru 209Soru

During an environmental monitoring study of urban air quality, scientists use a cascade impactor to collect and analyze different types of airborne particulate matter. The average diameters of four distinct particulate samples were recorded as follows:

* Particle W: 3.5×102 nm3.5 \times 10^2 \text{ nm}
* Particle X: 1.2×106 m1.2 \times 10^{-6} \text{ m}
* Particle Y: 7.5×102 μm7.5 \times 10^{-2} \text{ }\mu\text{m}
* Particle Z: 4.0×105 cm4.0 \times 10^{-5} \text{ cm}

Based on these measurements, arrange the four particulate samples in order of their average diameters from smallest to largest.

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Cevap

The correct order from smallest to largest is Particle Y, Particle W, Particle Z, and Particle X.
By converting all measurements to meters, we find: Particle Y is 7.5×108 m7.5 \times 10^{-8} \text{ m}, Particle W is 3.5×107 m3.5 \times 10^{-7} \text{ m}, Particle Z is 4.0×107 m4.0 \times 10^{-7} \text{ m}, and Particle X is 1.2×106 m1.2 \times 10^{-6} \text{ m}. Comparing these values shows that Particle Y is the smallest, followed by Particle W, Particle Z, and Particle X as the largest.

Adım Adım Çözüm

1
Convert all measurements to meters (m{\text{m}}) using standard conversion factors (1 nm=109 m1 \text{ nm} = 10^{-9} \text{ m}, 1 μm=106 m1 \text{ }\mu\text{m} = 10^{-6} \text{ m}, and 1 cm=102 m1 \text{ cm} = 10^{-2} \text{ m}).
Particle W: 3.5×102 nm=3.5×102×109 m=3.5×107 m3.5 \times 10^2 \text{ nm} = 3.5 \times 10^2 \times 10^{-9} \text{ m} = 3.5 \times 10^{-7} \text{ m}.
Particle X: 1.2×106 m1.2 \times 10^{-6} \text{ m}.
Particle Y: 7.5×102 μm=7.5×102×106 m=7.5×108 m7.5 \times 10^{-2} \text{ }\mu\text{m} = 7.5 \times 10^{-2} \times 10^{-6} \text{ m} = 7.5 \times 10^{-8} \text{ m}.
Particle Z: 4.0×105 cm=4.0×105×102 m=4.0×107 m4.0 \times 10^{-5} \text{ cm} = 4.0 \times 10^{-5} \times 10^{-2} \text{ m} = 4.0 \times 10^{-7} \text{ m}.
Expressing all values in the same base metric unit (meters) allows for a direct comparison of their scales.
2
Express all values in terms of the same exponent of 1010 (such as 10710^{-7}) to easily compare the coefficients.
Particle Y: 0.75×107 m0.75 \times 10^{-7} \text{ m}.
Particle W: 3.5×107 m3.5 \times 10^{-7} \text{ m}.
Particle Z: 4.0×107 m4.0 \times 10^{-7} \text{ m}.
Particle X: 12.0×107 m12.0 \times 10^{-7} \text{ m}.
Aligning the exponents simplifies the comparison to just ordering the coefficient numbers.
3
Compare the coefficients from smallest to largest.
Since 0.75<3.5<4.0<12.00.75 < 3.5 < 4.0 < 12.0, the order from smallest to largest is Particle Y, Particle W, Particle Z, then Particle X.
The coefficients directly scale the common base exponent, yielding the final ordered list.

Anahtar Kavram

To compare values with different metric prefixes, convert each value to a common base unit (such as meters) and write them in scientific notation with a matching exponent.
Tahmini Süre:1m 30s
Soru 210Soru

An environmental scientist is writing a report on a wetland field study. Arrange the following segments to construct a grammatically correct sentence that maintains a parallel structure.

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Cevap

To assess the health of the wetland, the field team planned to document the native plant species, measure the water acidity levels, and record the population of migratory birds.
The correct order begins with the main clause introducing the team's plans, followed by the full infinitive phrase 'to document the native plant species' to establish the grammatical pattern. The remaining actions are parallel bare infinitives, with the coordinating conjunction 'and' correctly introducing the final item in the sequence.

Adım Adım Çözüm

1
Identify the introductory independent clause that sets up the action of the sentence.
The segment 'To assess the health of the wetland, the field team planned' must come first as it contains the main subject ('the field team') and verb ('planned').
An independent clause or main introducing phrase must establish the sentence structure before any list items can be introduced.
2
Determine the first item in the list of planned activities.
The segment 'to document the native plant species,' must follow the introduction.
The verb 'planned' requires the infinitive marker 'to' (i.e., 'planned to document'). This initial 'to' establishes the grammatical framework for the subsequent items in the parallel list.
3
Arrange the remaining items to maintain a consistent grammatical structure and logical flow.
The segment 'measure the water acidity levels,' must come next, followed by 'and record the population of migratory birds.'
To maintain parallel structure, the remaining actions in the list must be bare infinitives ('measure' and 'record') that share the initial preposition 'to'. The segment beginning with the coordinating conjunction 'and' must go at the very end to properly close the list.

Anahtar Kavram

Parallel structure in infinitive lists
Tahmini Süre:1m 15s
Soru 211Soru

A geophysicist studying volcanic emissions measures the mass of carbon dioxide (CO2CO_2) released by four different vents (Vents A, B, C, and D) in a hydrothermal field over a 1-hour period. The recorded masses are:

- Vent A: 4.2×105 mg4.2 \times 10^5 \text{ mg}
- Vent B: 0.052 kg0.052 \text{ kg}
- Vent C: 3.8×103 cg3.8 \times 10^3 \text{ cg}
- Vent D: 8.9×101 g8.9 \times 10^{-1} \text{ g}

Based on these measurements, arrange the vents in order from the smallest mass of CO2CO_2 released to the largest mass of CO2CO_2 released.

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Cevap

The correct order of vents from smallest to largest mass of CO2CO_2 released is Vent D, Vent C, Vent B, then Vent A.
To compare the masses, they must be converted to a common unit, such as grams. Vent D releases 0.89 g0.89 \text{ g}, Vent C releases 38 g38 \text{ g}, Vent B releases 52 g52 \text{ g}, and Vent A releases 420 g420 \text{ g}. Comparing these quantities confirms the order from smallest to largest is Vent D, Vent C, Vent B, and Vent A.

Adım Adım Çözüm

1
Convert the mass of Vent A from milligrams to grams.
4.2×105 mg×1 g103 mg=4.2×102 g=420 g4.2 \times 10^5 \text{ mg} \times \frac{1 \text{ g}}{10^3 \text{ mg}} = 4.2 \times 10^2 \text{ g} = 420 \text{ g}
Converting all masses to a single standard unit (grams) allows for a direct comparison.
2
Convert the mass of Vent B from kilograms to grams.
0.052 kg×103 g1 kg=52 g0.052 \text{ kg} \times \frac{10^3 \text{ g}}{1 \text{ kg}} = 52 \text{ g}
Converting kilograms to grams requires multiplying by the conversion factor of 103 g/kg10^3 \text{ g/kg}.
3
Convert the mass of Vent C from centigrams to grams.
3.8×103 cg×1 g102 cg=3.8×101 g=38 g3.8 \times 10^3 \text{ cg} \times \frac{1 \text{ g}}{10^2 \text{ cg}} = 3.8 \times 10^1 \text{ g} = 38 \text{ g}
Since centi- means 10210^{-2}, converting centigrams to grams requires dividing by 10210^2.
4
Convert the mass of Vent D to a standard decimal value in grams.
8.9×101 g=0.89 g8.9 \times 10^{-1} \text{ g} = 0.89 \text{ g}
Expressing 8.9×101 g8.9 \times 10^{-1} \text{ g} in standard decimal format makes comparison straightforward.
5
Compare the converted masses in grams to order them from smallest to largest.
0.89 g<38 g<52 g<420 g0.89 \text{ g} < 38 \text{ g} < 52 \text{ g} < 420 \text{ g}
Comparing the values shows that Vent D releases the least mass (0.89 g0.89 \text{ g}), followed by Vent C (38 g38 \text{ g}), Vent B (52 g52 \text{ g}), and Vent A (420 g420 \text{ g}).

Anahtar Kavram

Scientific Notation and Unit Conversions
Tahmini Süre:1m 30s
Soru 212Soru

In a baseline experiment, a student measured the rate of yeast fermentation by recording the volume of CO2\text{CO}_2 gas produced in a 10%10\% glucose solution at a constant temperature of 30C30^\circ\text{C}. The student wants to design a follow-up experiment to determine the effect of pH on the fermentation rate. Arrange the following steps in the correct chronological order to properly execute this modified procedure.

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Cevap

The correct chronological order is to first prepare the yeast cultures with different pH levels, then place them in the constant-temperature water bath, next allow the cultures to reach temperature equilibrium before sealing, and finally measure the volume of gas produced over the fixed 20-minute interval.
The correct sequence begins with preparing the experimental groups with varying pH (the independent variable) while maintaining constant concentrations. Next, the controlled variable (temperature) is applied by placing them in the water bath. The mixtures must then equilibrate to prevent thermal expansion from affecting measurements. Finally, the dependent variable (gas volume) is recorded over a standardized time interval.

Adım Adım Çözüm

1
Vary the independent variable while holding other starting factors constant.
Yeast cultures are prepared with different pH values but identical yeast and glucose levels.
To isolate the effect of pH on fermentation.
2
Apply the temperature control variable to all test groups.
All cultures are incubated at 30C30^\circ\text{C}.
To ensure that temperature does not act as a confounding variable.
3
Equilibrate the temperature of the mixtures before sealing the apparatus.
Thermal expansion of gas is prevented from skewing fermentation measurements.
To eliminate physical gas expansion errors from the biological gas production data.
4
Measure the accumulation of the dependent variable over a set time period.
The final volume of gas produced in 20 minutes is recorded.
To calculate and compare the fermentation rates across different pH values.

Anahtar Kavram

Designing and sequencing follow-up experiments with controlled variables.
Tahmini Süre:1m 30s
Soru 213Soru

Researchers study the electrical resistance of four different wire samples as a function of temperature. The resistance RR (in ohms, Ω\Omega) of a metal wire at temperature TT (in C^\circ\text{C}) is modeled by the linear relationship:

R(T)=R0[1+α(TT0)]R(T) = R_0 [1 + \alpha(T - T_0)]

where R0R_0 is the baseline resistance at the reference temperature T0=20CT_0 = 20^\circ\text{C}, and α\alpha is the temperature coefficient of resistance (in C1^\circ\text{C}^{-1}).

The baseline resistance and temperature coefficients for the four wire samples are shown in the table below:

Wire MaterialBaseline Resistance (R0R_0 at 20C20^\circ\text{C})Temperature Coefficient (α\alpha)
Copper10 Ω10\ \Omega0.0040 C10.0040\ ^\circ\text{C}^{-1}
Iron8 Ω8\ \Omega0.0060 C10.0060\ ^\circ\text{C}^{-1}
Tungsten12 Ω12\ \Omega0.0045 C10.0045\ ^\circ\text{C}^{-1}
Carbon15 Ω15\ \Omega0.0005 C1-0.0005\ ^\circ\text{C}^{-1}

Arrange the wire samples in order of their predicted electrical resistance at 120C120^\circ\text{C} from lowest resistance to highest resistance.

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Cevap

The correct order of wire samples from lowest to highest predicted resistance is Iron wire, Copper wire, Carbon wire, and Tungsten wire.
Evaluating the linear resistance model at 120C120^\circ\text{C} (TT0=100CT - T_0 = 100^\circ\text{C}) yields resistances of 12.8 Ω12.8\ \Omega for Iron, 14.0 Ω14.0\ \Omega for Copper, 14.25 Ω14.25\ \Omega for Carbon, and 17.4 Ω17.4\ \Omega for Tungsten, establishing the sequence from lowest to highest.

Adım Adım Çözüm

1
Calculate the temperature difference (TT0T - T_0) from the reference temperature to the target temperature.
TT0=120C20C=100CT - T_0 = 120^\circ\text{C} - 20^\circ\text{C} = 100^\circ\text{C}
The model uses the temperature deviation from the baseline reference temperature T0=20CT_0 = 20^\circ\text{C}.
2
Apply the model R(T)=R0[1+α(TT0)]R(T) = R_0 [1 + \alpha(T - T_0)] to calculate the resistance of each wire at 120C120^\circ\text{C}.
Iron: 8×[1+0.0060(100)]=12.8 Ω8 \times [1 + 0.0060(100)] = 12.8\ \Omega; Copper: 10×[1+0.0040(100)]=14.0 Ω10 \times [1 + 0.0040(100)] = 14.0\ \Omega; Carbon: 15×[10.0005(100)]=14.25 Ω15 \times [1 - 0.0005(100)] = 14.25\ \Omega; Tungsten: 12×[1+0.0045(100)]=17.4 Ω12 \times [1 + 0.0045(100)] = 17.4\ \Omega.
Evaluating the mathematical model with the given parameters determines the resistance values for comparison.
3
Order the wire materials from the smallest calculated resistance value to the largest.
Iron (12.8 Ω12.8\ \Omega) < Copper (14.0 Ω14.0\ \Omega) < Carbon (14.25 Ω14.25\ \Omega) < Tungsten (17.4 Ω17.4\ \Omega).
This matches the requested sorting direction from lowest to highest resistance.

Anahtar Kavram

Applying mathematical linear models to predict physical quantities at specific conditions.
Tahmini Süre:1m 30s
Soru 214Soru

An editor is revising a research proposal guidelines document. In what order should the following segments be arranged to construct a grammatically correct sentence that maintains parallel structure?

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Cevap

To qualify for the advanced research grant, applicants must demonstrate a history of publishing original work, securing external funding, and collaborating with international teams.
The correct order constructs a coherent sentence where the preposition 'of' is followed by three parallel gerund phrases ('publishing original work', 'securing external funding', and 'collaborating with international teams'). This maintains consistent grammatical form throughout the list.

Adım Adım Çözüm

1
Identify the main introductory clause that establishes the grammatical context.
The clause 'To qualify for the advanced research grant, applicants must demonstrate a history of' must come first because it ends with the preposition 'of', which sets up a list of object noun phrases.
This establishes the structural foundation of the sentence.
2
Align the parallel items that act as objects of the preposition 'of'.
The objects must all be in the same grammatical form (gerund-participial phrases: 'publishing...', 'securing...', 'collaborating...').
Parallelism requires all items in a list to share the same grammatical structure.
3
Determine the sequence of the parallel items based on punctuation and conjunctions.
'publishing original work,' has a trailing comma and no conjunction, indicating it is the first item. 'securing external funding, and' ends with the coordinating conjunction, placing it second. 'collaborating with international teams.' has the terminal period, placing it last.
Punctuation and coordinating conjunctions dictate the logical and grammatical flow of a series.

Anahtar Kavram

Parallel Structure
Soru 215Soru

A student conducted a baseline experiment to measure the rate of heat transfer through a copper rod. The student attached wax beads at 5 cm5\text{ cm} intervals along the rod, heated one end with a Bunsen burner, and recorded the time taken for each bead to melt. The student now wants to design a follow-up experiment to compare the relative thermal conductivities of copper, aluminum, and iron rods. To ensure a scientifically valid comparison that controls variables and measures the rate of heat transfer accurately, in what order should the student perform the following procedural steps?

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Cevap

Select copper, aluminum, and iron rods that are identical in length, diameter, and surface texture; attach wax beads of equal mass and size at identical 5 cm5\text{ cm} intervals along each of the three rods; expose one end of each rod to the same heat source simultaneously, ensuring equal contact area and heat input; record the elapsed time taken for each wax bead to melt on each rod.
The correct ordering begins with selecting identical rods to control the physical properties of the materials. Next, the wax beads must be attached uniformly at identical distances on the cold rods to ensure a standardized measurement system. After the setup is complete, heat must be applied simultaneously and equally to all three rods to initiate the independent variable. Finally, the elapsed melting times are recorded to gather the dependent variable data. This sequence ensures all variables are controlled except for the rod material.

Adım Adım Çözüm

1
Identify the constant factors that must be controlled to isolate the effect of the rod material on heat transfer.
The student must select rods of copper, aluminum, and iron that are identical in dimensions (length, diameter, and surface texture).
Varying physical dimensions would introduce confounding variables, as a thicker or shorter rod would naturally transfer heat differently regardless of its material.
2
Ensure uniform indicators are applied to the rods before the experiment begins.
Wax beads of equal mass and size are attached at identical 5 cm5\text{ cm} intervals on the cold rods.
Applying the beads to hot rods or placing them at unequal distances would distort the measurement of heat propagation rate.
3
Apply the independent variable (heat) uniformly to start the process.
A heat source of equal intensity is applied to one end of all three rods simultaneously.
Simultaneous and equal heating ensures that any differences in melting times are due solely to the differing thermal conductivities of the materials.
4
Observe and record the dependent variable.
The elapsed times for each wax bead to melt are recorded.
Recording these times provides the quantitative data needed to compare the rates of heat transfer and draw a valid scientific conclusion.

Anahtar Kavram

Controlling variables and establishing standard procedures in comparative follow-up experiments.
Tahmini Süre:1m 30s
Soru 216Soru

In a baseline experiment, a chemist measured the rate of hydrogen peroxide (H2O2H_2O_2) decomposition by adding 1.0 g1.0\text{ g} of manganese dioxide (MnO2MnO_2) to 100 mL100\text{ mL} of a 3% H2O23\%\text{ }H_2O_2 solution at 25C25^\circ\text{C} and recording the volume of oxygen (O2O_2) gas produced over 5 minutes5\text{ minutes}. The chemist wants to design a follow-up experiment to determine how temperature affects this reaction rate, while ensuring that the concentration of reactants, catalyst mass, and total volume remain controlled. Place the following steps in the correct chronological order to successfully perform this follow-up experiment.

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Cevap

The correct sequence of steps is: prepare the identical hydrogen peroxide solutions, adjust their temperatures in the different water baths, add the manganese dioxide catalyst to initiate the reaction, and then measure the oxygen gas volume produced over the five-minute interval.
The correct sequence starts with preparing the identical solutions, then bringing them to the target temperatures. The catalyst must only be added after the temperatures are established to ensure the entire reaction occurs at the target temperature. Finally, the volume of gas produced is measured to determine the rate.

Adım Adım Çözüm

1
Identify the independent variable (temperature) and the controlled variables (reactants concentration, volume, and catalyst mass).
The setup must isolate temperature as the only variable that changes before the reaction begins.
To accurately measure the effect of temperature on the rate of decomposition.
2
Sequence the steps such that temperature is controlled before the reaction is initiated.
The solutions must be prepared and brought to their target temperatures prior to adding the catalyst.
Adding the catalyst first would start the reaction at an uncontrolled, transitional temperature.
3
Determine the final phase of the experiment.
Adding the catalyst starts the reaction, immediately followed by the measurement of gas volume.
The rate is determined by measuring gas production over time once the reaction is active.

Anahtar Kavram

Isolating the independent variable in a modified experimental procedure by establishing controlled conditions and adjusting the independent variable before initiating the reaction.
Tahmini Süre:1m 30s
Soru 217Soru

A group of students conducted a baseline experiment to measure the rate of transpiration in tomato plants under still-air conditions at a constant temperature of 25C25^\circ\text{C} and 50%50\% relative humidity. They measured transpiration by recording the mass loss of a plant over time using a digital scale.

Suppose the students want to modify this experiment to investigate the specific, independent effect of wind speed on transpiration rate using a variable-speed fan and an anemometer (wind gauge). To ensure a valid follow-up experiment, in what order should the students perform the following procedural steps?

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Cevap

The correct sequence starts with establishing control variables (temperature and relative humidity), followed by calibrating the wind speeds using the anemometer, placing the plant on the scale in the wind path, and finally recording the plant's mass loss over time.
The correct order begins with establishing the control variables (temperature and relative humidity) at their baseline levels to isolate the effect of wind speed. Next, the new independent variable must be calibrated by measuring the fan settings with the anemometer. Once calibrated, the plant is positioned on the scale in front of the fan. Finally, the dependent variable (mass loss over time) is measured to determine the transpiration rate.

Adım Adım Çözüm

1
Identify the control variables that must match the baseline experiment.
Temperature must be held at 25C25^\circ\text{C} and relative humidity at 50%50\%.
To isolate the effect of wind speed, all other variables from the baseline experiment must remain constant.
2
Establish and measure the levels of the new independent variable.
Calibrate the fan speed settings using the anemometer.
The independent variable (wind speed) must be accurately measured and set before starting the trials.
3
Position the plant and scale within the experimental setup.
The plant is placed on the digital scale in front of the fan.
The physical setup must be assembled before data collection can begin.
4
Collect the dependent variable data.
Measure the mass of the plant over a 30-minute30\text{-minute} period.
Transpiration rate is determined by mass loss per unit of time, which requires tracking mass change over a set interval.

Anahtar Kavram

Designing follow-up experiments requires isolating the new independent variable by holding all other variables constant at baseline levels, calibrating the independent variable, setting up the test subject, and then measuring the dependent variable.
Soru 218Soru

Arrange the following segments to construct a grammatically correct sentence that avoids any misplaced or dangling modifiers.

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Cevap

The correct order of segments is 'Cluttered with old magazines,' followed by 'the desk', then 'was finally cleaned', and ending with 'by Sarah.'
The correct order places the introductory modifying phrase 'Cluttered with old magazines,' directly before 'the desk', which is the noun it logically modifies. This is followed by the verb phrase 'was finally cleaned' and the prepositional phrase 'by Sarah.'

Adım Adım Çözüm

1
Identify the introductory modifying phrase.
'Cluttered with old magazines,' is a participial phrase that describes an object.
Recognizing the modifier helps determine what noun must follow it.
2
Identify the noun that is logically described by the modifier.
'the desk' is the object that can be cluttered with magazines, whereas Sarah cannot.
Placing the correct noun immediately after the introductory phrase avoids a dangling modifier.
3
Complete the predicate of the sentence.
Connect the subject 'the desk' to the verb phrase 'was finally cleaned' and the agent 'by Sarah.'
This establishes a grammatically complete, passive-voice sentence.

Anahtar Kavram

An introductory modifying phrase must be placed immediately next to the noun it logically modifies to avoid a dangling modifier.
Soru 219Soru

A laboratory technician measured the concentration of active reagent in four different solutions and recorded the values in various numerical forms: Solution W contains 716\frac{7}{16} active reagent, Solution X contains 42.5%42.5\% active reagent, Solution Y contains 0.440.44 active reagent, and Solution Z contains 49\frac{4}{9} active reagent. What is the correct order of the four solutions from the least concentration of active reagent to the greatest concentration?

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Cevap

The correct order from least to greatest concentration is Solution X (42.5%42.5\%), Solution W (716\frac{7}{16}), Solution Y (0.440.44), and Solution Z (49\frac{4}{9}).
To arrange values given in different numerical formats, convert each to decimal form: Solution X equals 0.42500.4250, Solution W equals 0.43750.4375, Solution Y equals 0.44000.4400, and Solution Z equals 0.4444...0.4444.... Arranging these decimals from least to greatest yields Solution X, Solution W, Solution Y, then Solution Z.

Adım Adım Çözüm

1
Convert all values to decimal format for direct comparison.
Solution W: 716=0.4375\frac{7}{16} = 0.4375; Solution X: 42.5%=0.42542.5\% = 0.425; Solution Y: 0.44=0.44000.44 = 0.4400; Solution Z: 49=0.4444...\frac{4}{9} = 0.4444...
Converting fractions, decimals, and percentages to a single decimal format makes order comparisons straightforward.
2
Compare the resulting decimal values place by place.
0.4250<0.4375<0.4400<0.4444...0.4250 < 0.4375 < 0.4400 < 0.4444...
Comparing digits from left to right establishes the numerical sequence.
3
Match the ordered decimals back to their corresponding solution names.
Solution X (0.4250.425) < Solution W (0.43750.4375) < Solution Y (0.440.44) < Solution Z (49\frac{4}{9})
The question requires ranking the original solution labels.

Anahtar Kavram

Converting fractions, decimals, and percentages into a uniform decimal format to compare and order rational numbers
Soru 220Soru

How should the following segments be ordered to construct a clear, grammatically correct sentence that avoids misplaced modifiers?

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Cevap

While walking to the local library, Maya found a lost wallet lying on the sidewalk.
The correct sentence structure starts with the introductory modifier 'While walking to the local library,' which is immediately followed by the logical subject 'Maya'. The main clause 'found a lost wallet' is then completed by the modifying phrase 'lying on the sidewalk', which correctly describes the wallet.

Adım Adım Çözüm

1
Identify the introductory modifying phrase.
The phrase 'While walking to the local library,' describes a temporary action.
Introductory phrases must be followed immediately by the actor performing the action to prevent a dangling modifier.
2
Determine the subject of the action and place it next.
Place 'Maya' directly after the comma.
Since Maya is the one walking, placing her name here establishes her as the logical subject of the introductory modifier.
3
Add the main verb and direct object.
Follow the subject with 'found a lost wallet'.
This establishes the main action and object of the sentence.
4
Position the remaining modifier.
Attach 'lying on the sidewalk.' at the end.
Placing this modifying phrase next to 'wallet' clearly shows that the wallet, not Maya, was lying on the sidewalk.

Anahtar Kavram

Introductory modifiers must immediately precede the noun they describe, and modifying phrases within a sentence must be placed as close as possible to the nouns they modify to ensure clarity.
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