Tüm alıştırma soruları

5556 soru

Soru 4981Soru

Read the sentence below and answer the question that follows.

The lead linguist emphasized that while certain ancient dialects are highly susceptible for language shift over generations, others remain surprisingly resilient.

Which of the following choices correctly replaces the underlined phrase to form a grammatically and idiomatically correct sentence?

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Cevap: susceptible to

Cevap

The correct phrasing is 'susceptible to', as the adjective 'susceptible' idiomatically takes the preposition 'to'.
In standard written English, the adjective 'susceptible' is idiomatically followed by the preposition 'to' when expressing openness, vulnerability, or responsiveness to an influence. Therefore, 'susceptible to' is the only idiomatically correct choice.

Adım Adım Çözüm

1
Identify the head word modified by the preposition in the underlined segment.
The target word is the adjective 'susceptible'.
Idiomatic preposition usage depends on established conventions linking specific verbs, adjectives, or nouns to their corresponding prepositions.
2
Determine the standard English preposition that pairs idiomatically with 'susceptible'.
The correct standard preposition pairing is 'susceptible to'.
In English conventions of usage, one is 'susceptible to' something (meaning vulnerable or prone to it), rather than 'for', 'with', or 'from'.

Anahtar Kavram

Idiomatic Adjective-Preposition Pairings
Soru 4982Soru

A team of atmospheric chemists investigated the photochemical formation of secondary organic aerosols (SOAs) in a 5 m35\text{ m}^3 Teflon smog chamber. Across four distinct experimental runs, researchers introduced constant initial concentrations of α\alpha-pinene (100 ppb100\text{ ppb}) and ozone (200 ppb200\text{ ppb}) into the chamber alongside ammonium sulfate seed aerosols (15 μg/m315\ \mu\text{g/m}^3). Chamber temperature was maintained at 298 K298\text{ K} and relative humidity at 50%50\%. The ultraviolet (UV) light irradiance was set to a different value for each run (0 W/m20\text{ W/m}^2, 25 W/m225\text{ W/m}^2, 50 W/m250\text{ W/m}^2, or 100 W/m2100\text{ W/m}^2). After 4 hours of continuous irradiation, the researchers measured the final total SOA mass concentration (μg/m3\mu\text{g/m}^3) produced in the chamber.

Match each experimental component to its correct variable classification.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

UV light irradiance (0,25,50,and 100 W/m20, 25, 50, \text{and } 100\text{ W/m}^2)
Total SOA mass concentration measured after 4 hours
Chamber temperature (298 K298\text{ K}) and relative humidity (50%50\%)
Initial concentrations of α\alpha-pinene (100 ppb100\text{ ppb}) and ozone (200 ppb200\text{ ppb})

Eşleşmeler

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Cevap

UV light irradiance is the independent variable; total SOA mass concentration is the dependent variable; chamber temperature and relative humidity are controlled physical parameters; and initial reactant concentrations are controlled chemical parameters.
The independent variable is the factor systematically manipulated by the researchers (UV light irradiance). The dependent variable is the resulting response measured at the end of the experiment (total SOA mass concentration). The remaining parameters—such as chamber temperature, relative humidity, and initial reactant concentrations—are held constant across all trials to isolate the specific impact of UV irradiance on aerosol formation, classifying them as controlled variables.

Adım Adım Çözüm

1
Identify the variable manipulated across trials.
UV light irradiance is intentionally changed to four discrete values (0,25,50,100 W/m20, 25, 50, 100\text{ W/m}^2).
The parameter explicitly varied by experimenters to observe its effect is the independent variable.
2
Identify the measured outcome variable.
The final total SOA mass concentration (μg/m3\mu\text{g/m}^3) is recorded after 4 hours of irradiation.
The observed response or output resulting from changes in the independent variable is the dependent variable.
3
Identify all parameters held constant.
Temperature (298 K298\text{ K}), relative humidity (50%50\%), seed aerosol concentration (15 μg/m315\ \mu\text{g/m}^3), α\alpha-pinene (100 ppb100\text{ ppb}), and ozone (200 ppb200\text{ ppb}) are kept fixed.
Factors purposefully held constant to ensure a fair test and isolate the effect of the independent variable are controlled variables.

Anahtar Kavram

Classification of independent, dependent, and controlled variables in photochemical smog chamber experiments.
Soru 4983Soru

In ABC\triangle ABC, the length of side aa (opposite angle AA) is 99 inches, the length of side bb (opposite angle BB) is 1212 inches, and the measure of angle BB is 4545^\circ. What is the exact value of sinA\sin A?

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Cevap: 328\frac{3\sqrt{2}}{8}

Cevap

The exact value of sinA\sin A is 328\frac{3\sqrt{2}}{8}.
According to the Law of Sines, sinAa=sinBb\frac{\sin A}{a} = \frac{\sin B}{b}. Substituting a=9a = 9, b=12b = 12, and B=45B = 45^\circ yields sinA9=sin4512\frac{\sin A}{9} = \frac{\sin 45^\circ}{12}. Multiplying both sides by 99 and substituting sin45=22\sin 45^\circ = \frac{\sqrt{2}}{2} gives sinA=92212=9224=328\sin A = \frac{9 \cdot \frac{\sqrt{2}}{2}}{12} = \frac{9\sqrt{2}}{24} = \frac{3\sqrt{2}}{8}.

Adım Adım Çözüm

1
State the Law of Sines for the given triangle components.
sinAa=sinBb\frac{\sin A}{a} = \frac{\sin B}{b}
The Law of Sines relates the sines of angles to their opposite side lengths in any triangle.
2
Substitute the known values (a=9a = 9, b=12b = 12, and B=45B = 45^\circ) into the formula.
sinA9=sin4512\frac{\sin A}{9} = \frac{\sin 45^\circ}{12}
Plugging in the given numbers isolates the unknown quantity sinA\sin A.
3
Solve for sinA\sin A and substitute the exact value of sin45=22\sin 45^\circ = \frac{\sqrt{2}}{2}.
sinA=9sin4512=92212=9224=328\sin A = \frac{9 \cdot \sin 45^\circ}{12} = \frac{9 \cdot \frac{\sqrt{2}}{2}}{12} = \frac{9\sqrt{2}}{24} = \frac{3\sqrt{2}}{8}
Simplifying the fraction gives the exact trigonometric ratio.

Anahtar Kavram

Law of Sines
Soru 4984Soru

A circular stage turntable has a radius of 99 meters. A wedge-shaped performance zone on the turntable is formed by a sector with a central angle measuring 100100^\circ. A safety border is installed along the entire boundary of this performance zone, which consists of its curved arc and both straight radius edges. What is the total length, in meters, of the safety border?

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Cevap: 5π+185\pi + 18

Cevap

The total length of the safety border is 5π+185\pi + 18 meters.
To find the total length of the border surrounding the sector, calculate the arc length of the sector using s=θ360×2πr=100360×18π=5πs = \frac{\theta}{360^\circ} \times 2\pi r = \frac{100}{360} \times 18\pi = 5\pi meters. Then, add the two straight radial sides (2r=2×9=182r = 2 \times 9 = 18 meters) to get the complete perimeter of 5π+185\pi + 18 meters.

Adım Adım Çözüm

1
Calculate the arc length (ss) of the circular sector.
s=100360×2π(9)=518×18π=5πs = \frac{100^\circ}{360^\circ} \times 2\pi(9) = \frac{5}{18} \times 18\pi = 5\pi meters.
The arc length formula for a sector measured in degrees is s=θ360×2πrs = \frac{\theta}{360^\circ} \times 2\pi r.
2
Calculate the total perimeter (PP) of the sector.
P=s+2r=5π+2(9)=5π+18P = s + 2r = 5\pi + 2(9) = 5\pi + 18 meters.
The boundary of a sector includes the curved arc length plus two straight radial sides.

Anahtar Kavram

Perimeter of a Circle Sector
Tahmini Süre:1m 0s
Soru 4985Soru

Read the passage below. Which form of the verb 'lay' correctly completes the blank while maintaining consistent verb tense throughout the text?

Aşağıdaki boşlukları doldurun

In 1925, astronomer Cecilia Payne-Gaposchkin published her landmark doctoral dissertation, which demonstrated that hydrogen and helium were the main components of stars. Although prevailing scientific opinion at the time held that the Sun shared Earth's composition, her groundbreaking research the foundation for modern stellar astrophysics.
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Cevap

laid
The passage establishes a consistent past-tense narrative through verbs such as 'published', 'demonstrated', and 'held'. To maintain verb tense consistency, the verb in the main clause must also be in the simple past tense, which is 'laid'.

Adım Adım Çözüm

1
Analyze the context to determine the dominant timeframe.
The narrative details historical events occurring in 1925.
The surrounding verbs ('published', 'demonstrated', 'held', 'shared') establish a past-tense framework.
2
Identify the verb form that preserves tense consistency.
The simple past tense of 'lay' is 'laid'.
Using 'laid' maintains logical verb tense consistency with the surrounding past-tense verbs.

Anahtar Kavram

Verb Tense and Consistency
Soru 4986Soru

Read the sentence below:

The lead curator noted that the board of trustees was surprisingly receptive for the controversial proposal to loan the rare manuscripts to international museums.

Which of the following options best replaces the underlined portion to make the sentence idiomatically correct?

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Cevap: receptive to

Cevap

The phrase should be changed to 'receptive to' because the adjective 'receptive' idiomatically takes the preposition 'to' when describing openness to suggestions or proposals.
The adjective 'receptive' requires the preposition 'to' to form a standard idiomatic expression meaning open or responsive to something.

Adım Adım Çözüm

1
Identify the key word modifying the preposition in the underlined phrase.
The target word is the adjective 'receptive'.
Prepositional idioms depend on specific conventions dictated by the preceding verb, noun, or adjective.
2
Determine the standard English preposition that pairs idiomatically with 'receptive'.
In standard English, one is 'receptive to' something (e.g., an idea, proposal, or feedback).
'Receptive' indicates openness toward receiving something, which requires the directional preposition 'to'.
3
Evaluate the choices to select the idiomatically correct preposition.
The phrasing 'receptive to' is the only grammatically and idiomatically correct option.
Alternatives using 'for', 'with', or 'on' violate established conventions of usage.

Anahtar Kavram

Idiomatic Prepositions (Adjective + Preposition Pairings)
Soru 4987Soru

A student performed an experiment to study the catalytic decomposition of hydrogen peroxide (H2O2H_2O_2). In 5 separate trials, the student added 5 mL5\text{ mL} of a ferric nitrate (Fe(NO3)3Fe(NO_3)_3) solution of varying concentrations (0.1 M0.1\text{ M}, 0.2 M0.2\text{ M}, 0.3 M0.3\text{ M}, 0.4 M0.4\text{ M}, and 0.5 M0.5\text{ M}) to 50 mL50\text{ mL} of 3% H2O23\%\text{ }H_2O_2 solution in a sealed reaction flask connected to a gas syringe. The initial temperature of all solutions was maintained at 22C22^\circ\text{C}. For each trial, the volume of oxygen gas (O2O_2) produced in the first 30 seconds30\text{ seconds} was recorded to determine the initial reaction rate.

Based on the experimental procedure described, which of the following was the independent variable in the student's experiment?

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Cevap: Concentration of the ferric nitrate solution

Cevap

The concentration of the ferric nitrate solution is the independent variable because it is the factor purposefully altered across trials by the researcher.
The correct answer identifies the concentration of the ferric nitrate solution because it is the factor purposefully manipulated across the 5 trials (0.1 M0.1\text{ M} to 0.5 M0.5\text{ M}) to observe its effect on the rate of gas production.

Adım Adım Çözüm

1
Identify the variable manipulated by the experimenter across trials.
The concentration of ferric nitrate (Fe(NO3)3Fe(NO_3)_3) was systematically varied from 0.1 M0.1\text{ M} to 0.5 M0.5\text{ M}.
The independent variable is the factor directly and intentionally changed by the investigator.
2
Distinguish the independent variable from the dependent variable and controlled variables.
The volume of O2O_2 produced is the dependent variable (measured outcome), while temperature and H2O2H_2O_2 volume are controlled variables (held constant).
A clear separation of experimental roles is necessary to establish cause-and-effect relationships.

Anahtar Kavram

Independent vs. Dependent vs. Controlled Variables
Soru 4988Soru

Aerospace engineers conducted a series of wind tunnel trials to evaluate passive boundary layer control on a swept-wing model using micro-vortex generators (VGs). In Experiment 1, the engineers intentionally varied the VG orientation angle relative to the freestream flow (θ\theta) across five trials while maintaining a constant freestream velocity (v=45 m/sv = 45\text{ m/s}), wing angle of attack (α=12\alpha = 12^\circ), and ambient temperature (T=20CT = 20^\circ\text{C}). For each trial, they recorded the normalized chordwise position of boundary layer separation (xs/cx_s/c). Their data are shown in the table below:

TrialVG Angle (θ\theta)Freestream Velocity (vv)Separation Position (xs/cx_s/c)
100^\circ45 m/s45\text{ m/s}0.620.62
255^\circ45 m/s45\text{ m/s}0.710.71
31010^\circ45 m/s45\text{ m/s}0.800.80
41515^\circ45 m/s45\text{ m/s}0.860.86
52020^\circ45 m/s45\text{ m/s}0.830.83

Based on Experiment 1, which of the following correctly identifies the independent variable, the dependent variable, and one controlled variable?

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Cevap: Independent variable: VG orientation angle (θ\theta); Dependent variable: boundary layer separation position (xs/cx_s/c); Controlled variable: freestream velocity (vv)

Cevap

The independent variable is the VG orientation angle (θ\theta), the dependent variable is the boundary layer separation position (xs/cx_s/c), and a controlled variable is the freestream velocity (vv).
The option identifying the VG orientation angle as the independent variable, the boundary layer separation position as the dependent variable, and freestream velocity as a controlled variable is correct because the researchers systematically manipulated the angle across trials, measured the resulting separation position, and held the velocity fixed at 45 m/s throughout Experiment 1.

Adım Adım Çözüm

1
Identify the variable intentionally altered by the experimenters across trials.
The researchers changed the VG orientation angle (θ\theta) from 00^\circ to 2020^\circ, making it the independent variable.
The independent variable is the factor systematically manipulated by the experimenter to observe its effects.
2
Identify the response parameter measured as a result of changing the independent variable.
The normalized separation position (xs/cx_s/c) was measured for each angle, making it the dependent variable.
The dependent variable represents the outcome or measured data that responds to changes in the independent variable.
3
Identify the experimental factors kept unchanged across all trials.
Freestream velocity (v=45 m/sv = 45\text{ m/s}), angle of attack (α=12\alpha = 12^\circ), and ambient temperature (T=20CT = 20^\circ\text{C}) remained constant, making them controlled variables.
Controlled variables are parameters deliberately kept constant to ensure that changes in the dependent variable are solely attributable to the independent variable.

Anahtar Kavram

Classification of Experimental Variables
Tahmini Süre:1m 40s
Soru 4989Soru

In the damp temperate rainforests of the Pacific Northwest, certain species of fungi emit a soft, greenish glow at night. These bioluminescent mushrooms light up brightly during nighttime hours, illuminating the dark forest floor to attract spore-dispersing insects.

Which choice produces the most concise and grammatically correct sentence by eliminating redundancy in the underlined portion?

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Cevap: These mushrooms illuminate

Cevap

The option reading 'These mushrooms illuminate' is correct because it concisely conveys the intended meaning without repeating information or introducing grammatical errors.
The choice reading 'These mushrooms illuminate' directly provides the subject and verb needed for the clause without repeating details about nocturnal glowing that were already established in the sentence. It is clear, concise, and grammatically sound.

Adım Adım Çözüm

1
Identify redundant elements in the context.
The preceding sentence already states that the fungi 'emit a soft, greenish glow at night'. Descriptive terms in the underlined portion like 'bioluminescent', 'light up brightly', and 'during nighttime hours' repeat this exact information.
Standard assessment writing guidelines require eliminating words that duplicate meaning already expressed in adjacent context.
2
Evaluate the remaining options for conciseness and proper grammatical structure.
The choice reading 'These mushrooms illuminate' removes all repetitive phrasing while forming a grammatically complete subject and verb that connects smoothly to the rest of the sentence.
The correct answer must solve the redundancy issue without introducing new grammatical errors such as fragments or comma splices.

Anahtar Kavram

Eliminating Redundancy
Tahmini Süre:45s
Soru 4990Soru

Read the sentence below and answer the question that follows.

During their annual migration across the desert region, desert tortoises are remarkably attuned with subtle shifts in atmospheric pressure, allowing them to seek shelter hours before a flash flood begins.

Which of the following alternatives to the underlined portion is idiomatically correct in standard written English?

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Cevap: attuned to

Cevap

attuned to
The phrase 'attuned to' is the correct idiomatic expression. In standard English, the adjective 'attuned' takes the preposition 'to' when describing awareness of or responsiveness to an external condition or environmental stimulus.

Adım Adım Çözüm

1
Identify the underlined modifier and prepositional structure in the sentence.
The sentence uses the adjective-preposition combination 'attuned with'.
Standard written English requires specific fixed prepositions following certain adjectives.
2
Evaluate standard idiomatic usage for the adjective 'attuned'.
In standard English conventions, 'attuned' correctly pairs with the preposition 'to'.
The idiom 'attuned to' means being in harmony with or sensitive to a particular phenomenon or stimulus.
3
Select the option that replaces the unidiomatic phrasing with the correct preposition.
The option featuring 'attuned to' provides the grammatically and idiomatically sound correction.
Prepositions like 'with', 'for', and 'toward' create unidiomatic phrasing with 'attuned'.

Anahtar Kavram

Idiomatic Preposition Pairs (Adjective + Preposition)
Tahmini Süre:45s
Soru 4991Soru

If kk and mm are integers such that k3=8|k - 3| = 8 and m+2=5|m + 2| = 5, where k<0k < 0 and m<0m < 0, what is the distance on the number line between kk and mm?

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Cevap: 22

Cevap

The distance on the number line between kk and mm is 22.
To find kk, solve k3=8|k - 3| = 8, which gives k3=8    k=11k - 3 = 8 \implies k = 11 or k3=8    k=5k - 3 = -8 \implies k = -5. Since k<0k < 0, k=5k = -5. To find mm, solve m+2=5|m + 2| = 5, which gives m+2=5    m=3m + 2 = 5 \implies m = 3 or m+2=5    m=7m + 2 = -5 \implies m = -7. Since m<0m < 0, m=7m = -7. The distance on the number line between 5-5 and 7-7 is 5(7)=2|-5 - (-7)| = 2.

Adım Adım Çözüm

1
Solve the absolute value equation for kk using the given constraint k<0k < 0.
k3=8    k=11k - 3 = 8 \implies k = 11 or k3=8    k=5k - 3 = -8 \implies k = -5. Since k<0k < 0, k=5k = -5.
An absolute value equation X=c|X| = c splits into X=cX = c and X=cX = -c.
2
Solve the absolute value equation for mm using the given constraint m<0m < 0.
m+2=5    m=3m + 2 = 5 \implies m = 3 or m+2=5    m=7m + 2 = -5 \implies m = -7. Since m<0m < 0, m=7m = -7.
An absolute value equation X=c|X| = c splits into X=cX = c and X=cX = -c.
3
Calculate the distance between k=5k = -5 and m=7m = -7 on the number line.
\text{Distance} = |k - m| = |-5 - (-7)| = |-5 + 7| = |2| = 2.
The distance between two points on a number line is given by the absolute value of their difference.

Anahtar Kavram

Evaluating absolute value equations and finding distance between two integers on a number line.
Tahmini Süre:1m 15s
Soru 4992Soru

A public library is organizing its catalog of physical books. Currently, 38\frac{3}{8} of the books in the collection are categorized as fiction. Of the remaining books, 40%40\% are non-fiction, while the rest are divided between children's literature and reference volumes in a ratio of 3:23:2, respectively. If there are exactly 450450 reference volumes in the library, what is the total number of physical books in the collection?

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Cevap: 3,0003,000

Cevap

The total number of physical books in the library collection is 3,0003,000.
To find the total number of books, first calculate the remaining fraction after fiction books are removed: 138=581 - \frac{3}{8} = \frac{5}{8}. Next, account for non-fiction taking up 40%40\% of this remainder, leaving 60%60\% (or 35\frac{3}{5}) of 58\frac{5}{8} for children's and reference books, which equals 38\frac{3}{8} of the entire collection. Using the 3:23:2 ratio, reference books represent 25\frac{2}{5} of this 38\frac{3}{8} portion, which is 320\frac{3}{20} of the total collection. Setting 320\frac{3}{20} of the total equal to 450450 gives a total collection of 3,0003,000 books.

Adım Adım Çözüm

1
Determine the remaining fraction of books after setting aside fiction books.
Since 38\frac{3}{8} of the books are fiction, the remaining fraction is 138=581 - \frac{3}{8} = \frac{5}{8}.
The total collection equals 11 (or 100%100\%). Subtracting the fiction fraction leaves the remaining portion.
2
Calculate the fraction of books that are either children's literature or reference volumes.
Since 40%40\% of the remaining books are non-fiction, the remaining 60%60\% (0.600.60 or 35\frac{3}{5}) of the 58\frac{5}{8} portion are children's or reference books: 35×58=38\frac{3}{5} \times \frac{5}{8} = \frac{3}{8}.
Finding 60%60\% of the remaining 58\frac{5}{8} identifies the portion shared between children's and reference books.
3
Determine the fraction of total books represented by reference volumes using the given ratio.
With a children's to reference ratio of 3:23:2, reference books represent 23+2=25\frac{2}{3+2} = \frac{2}{5} of this subgroup. Thus, reference books account for 25×38=640=320\frac{2}{5} \times \frac{3}{8} = \frac{6}{40} = \frac{3}{20} of the total collection.
A ratio of 3:23:2 divides the subgroup into 55 equal parts, of which reference books make up 22 parts.
4
Solve for the total collection size using the known number of reference volumes.
Set up the equation 320×T=450\frac{3}{20} \times T = 450, where TT is the total number of books. Solving yields T=450×203=150×20=3,000T = 450 \times \frac{20}{3} = 150 \times 20 = 3,000.
Dividing the given quantity by its corresponding fraction gives the total population size.

Anahtar Kavram

Fractions, Decimals, and Percentages
Tahmini Süre:2m 0s
Soru 4993Soru

A park planner is designing a triangular walking trail connecting three landmarks: a fountain at point FF, a gazebo at point GG, and a bridge at point BB. The distance from the fountain to the gazebo is 800800 meters, and the distance from the gazebo to the bridge is 15001{}500 meters. If the angle formed at the gazebo (FGB\angle FGB) measures 6060^\circ, what is the direct distance, in meters, from the fountain at point FF to the bridge at point BB?

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Cevap: 1300

Cevap

1300 meters
Applying the Law of Cosines c2=a2+b22abcos(C)c^2 = a^2 + b^2 - 2ab\cos(C) with a=800a = 800, b=1500b = 1500, and C=60C = 60^\circ gives c2=8002+150022(800)(1500)(0.5)=1690000c^2 = 800^2 + 1500^2 - 2(800)(1500)(0.5) = 1{}690{}000. Taking the square root yields c=1300c = 1300 meters.

Adım Adım Çözüm

1
Identify given measurements and formula
FG=800FG = 800 m, GB=1500GB = 1500 m, FGB=60\angle FGB = 60^\circ, using Law of Cosines c2=a2+b22abcos(C)c^2 = a^2 + b^2 - 2ab\cos(C)
Two side lengths and the included angle (SAS) are known, requiring the Law of Cosines to solve for the opposite side.
2
Substitute values into the Law of Cosines equation
FB2=8002+150022(800)(1500)cos(60)FB^2 = 800^2 + 1500^2 - 2(800)(1500)\cos(60^\circ)
Direct replacement of known side lengths and angle measure into the formula.
3
Evaluate the arithmetic terms
FB2=640000+22500001200000=1690000FB^2 = 640{}000 + 2{}250{}000 - 1{}200{}000 = 1{}690{}000
Squaring the side lengths and calculating the product 2(800)(1500)(0.5)2(800)(1500)(0.5).
4
Take the square root to solve for FBFB
FB=1690000=1300FB = \sqrt{1{}690{}000} = 1300
Taking the principal square root yields the distance in meters.

Anahtar Kavram

Law of Cosines (SAS Triangle Solving)
Soru 4994Soru

Read the passage and answer the question that follows.

In 1910, polar researcher Alfred Wegener observed that the coastlines of South America and Africa fitted together like puzzle pieces. Intrigued by this alignment, he began gathering fossil evidence from both continents, which strengthens his radical hypothesis of continental drift before he formally presented his theory in 1912.

Which of the following alternatives to the underlined portion would be most grammatically acceptable in the context of the passage?

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Cevap: strengthened

Cevap

The correct option is 'strengthened', which maintains past-tense consistency throughout the historical narrative.
The passage establishes a historical narrative frame in the past tense ('observed', 'began', 'presented'). The past-tense form 'strengthened' maintains consistent tense throughout the sentence and paragraph.

Adım Adım Çözüm

1
Analyze the time frame established by the surrounding context in the paragraph.
The narrative describes events occurring in 1910 and 1912 using past-tense verbs like 'observed', 'fitted', 'began', and 'presented'.
Verb tenses within a narrative must remain consistent unless there is a clear chronological shift.
2
Evaluate the underlined verb in relation to its clause.
The underlined action describes how the gathering of fossil evidence supported Wegener's hypothesis during his past research process.
Because this gathering of evidence happened in the past alongside his other research actions, a simple past tense verb is required.
3
Select the choice that maintains consistent simple past tense.
'strengthened' matches 'observed', 'began', and 'presented'.
Using simple past tense prevents unnecessary tense shifts.

Anahtar Kavram

Verb Tense Consistency in Historical Narratives
Soru 4995Soru

The tip of a pendulum swings through a central angle measuring π3\frac{\pi}{3} radians, tracing an arc length of 4π4\pi centimeters. What is the area, in square centimeters, of the sector swept out by the pendulum?

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Cevap: 24π24\pi

Cevap

24π24\pi square centimeters
To find the area of the sector, first determine the radius of the pendulum's circular path using the arc length formula s=rθs = r\theta. Substituting s=4πs = 4\pi and θ=π3\theta = \frac{\pi}{3} gives r=12r = 12 cm. Then, substitute the radius and central angle into the sector area formula A=12r2θ=12(12)2(π3)=24πA = \frac{1}{2}r^2\theta = \frac{1}{2}(12)^2\left(\frac{\pi}{3}\right) = 24\pi square centimeters.

Adım Adım Çözüm

1
Calculate the radius of the circle using the arc length formula in radians.
Using s=rθs = r\theta with s=4πs = 4\pi and θ=π3\theta = \frac{\pi}{3} gives 4π=r(π3)    r=124\pi = r\left(\frac{\pi}{3}\right) \implies r = 12 cm.
The radius is required to calculate the sector area.
2
Calculate the area of the sector using the radian sector area formula.
A=12r2θ=12(12)2(π3)=12(144)(π3)=24πA = \frac{1}{2}r^2\theta = \frac{1}{2}(12)^2\left(\frac{\pi}{3}\right) = \frac{1}{2}(144)\left(\frac{\pi}{3}\right) = 24\pi square centimeters.
Multiplying half the squared radius by the radian measure of the central angle yields the sector area.

Anahtar Kavram

Arc Length and Sector Area in Radians
Tahmini Süre:1m 0s
Soru 4996Soru

Scientists studying ice core samples from Greenland analyze trapped air bubbles to reconstruct Earth's atmospheric history. Each annual sample provides a year-by-year record of greenhouse gas concentrations over past millennia.

Which choice best eliminates the redundancy in the underlined portion of the sentence?

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Cevap: Each annual sample provides a record of greenhouse gas concentrations

Cevap

The option reading 'Each annual sample provides a record of greenhouse gas concentrations' is the correct choice because it removes repetitive wording while maintaining complete, grammatical sentence structure.
The selection stating 'Each annual sample provides a record of greenhouse gas concentrations' is correct because it removes 'year-by-year,' which redundantly repeats the meaning of 'annual,' while keeping the rest of the main clause grammatically complete.

Adım Adım Çözüm

1
Identify the redundancy in the underlined portion.
The words 'annual' (meaning occurring once a year) and 'year-by-year' convey the exact same idea in the sentence.
Effective English writing avoids using synonymous modifiers that repeat information unnecessarily.
2
Evaluate the remaining options for conciseness and grammatical correctness.
Removing 'year-by-year' leaves 'Each annual sample provides a record of greenhouse gas concentrations', which is grammatically complete with a subject ('sample') and predicate ('provides').
The correct choice must eliminate the unnecessary repetition without introducing structural errors like sentence fragments or comma splices.

Anahtar Kavram

Eliminating Redundancy
Soru 4997Soru

Read the following passage adapted from an essay on historical archaeology:

In July 1799, during Napoleon Bonaparte's military campaign in Egypt, French soldiers under the command of engineering officer Captain Pierre-François Bouchard were tasked with rebuilding Fort Julien, an Ottoman fortification near the port city of Rashid (Rosetta). While clearing rubble from a ruined wall, soldiers unearthed a large, dark slab of granodiorite inscribed with three distinct scripts: Ancient Greek, Demotic, and Egyptian hieroglyphs. Recognizing its potential historic value, Captain Bouchard immediately informed French scholars stationed in Cairo and arranged for the artifact to be transported to the Institut d'Égypte.

Following the initial examination by scholars in Cairo, General Jacques-François Menou, who assumed command of the French expeditionary forces, claimed personal possession of the stone in late 1799 and relocated it to his private residence in Alexandria for safekeeping. However, the military situation shifted dramatically in August 1801 when British forces launched an offensive against French positions in Alexandria. Following the surrender of the French garrison, intense negotiations took place over the fate of collected Egyptian antiquities. Under the terms of the Capitulation of Alexandria signed in September 1801, the French army relinquished the Rosetta Stone to British military authorities.

In early 1802, the artifact was loaded onto the captured frigate HMS Égyptienne under the supervision of Colonel Tomkyns Hilgrove Turner. The ship set sail across the Mediterranean and Atlantic, arriving at the naval port of Portsmouth, England, in February 1802. Shortly thereafter, the stone was presented to the Society of Antiquaries of London before being permanently transferred to the British Museum later that year.

Based on the explicit details provided in the passage, place the following historical events in the correct chronological order from earliest to latest.

Öğeleri doğru sıraya koymak için sürükleyin

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Cevap

The correct chronological sequence of events is: 1) French soldiers under Captain Bouchard uncover the inscribed granodiorite slab while clearing rubble at Fort Julien; 2) General Menou relocates the Rosetta Stone to his private residence in Alexandria; 3) British military authorities acquire the Rosetta Stone under the terms of the Capitulation of Alexandria; 4) HMS Égyptienne arrives at the port of Portsmouth carrying the Rosetta Stone.
The correct order follows the chronological progression stated explicitly throughout the passage: discovery at Fort Julien (July 1799), transfer to Alexandria by General Menou (late 1799), surrender to British forces under the Capitulation of Alexandria (September 1801), and finally arrival at Portsmouth aboard HMS Égyptienne (February 1802).

Adım Adım Çözüm

1
Locate the explicit timestamp and context for the initial discovery of the artifact.
The passage explicitly states that Captain Bouchard's men unearthed the stone in July 1799 at Fort Julien.
This establishes July 1799 as the initial event in the chronological sequence.
2
Identify the next explicit movement of the artifact within Egypt.
General Menou claimed possession and relocated the stone to his residence in Alexandria in late 1799.
This took place in late 1799, directly following examination by scholars in Cairo.
3
Find the detail describing the transfer of ownership to British forces.
The French army surrendered the artifact under the Capitulation of Alexandria in September 1801.
This military treaty occurred after the August 1801 British offensive.
4
Determine the date of arrival in Portsmouth.
HMS Égyptienne arrived at Portsmouth in February 1802.
This was the final step of the passage's timeline, occurring in early 1802 after voyage across the sea.

Anahtar Kavram

Identifying explicitly stated events and their sequence directly from the text without inference.
Soru 4998Soru

An environmental science team investigated the effects of soil moisture on soil microbial respiration rates. In five experimental plots, they adjusted the soil volumetric water content to values ranging from 10%10\% to 50%50\%. Throughout all trials, they kept the soil temperature constant at 22C22^\circ\text{C} and maintained a uniform soil bulk density. At the end of 48 hours, they measured the total carbon dioxide (CO2CO_2) efflux from each plot.

Match each experimental component listed on the left with its correct variable classification on the right.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Soil volumetric water content
Soil carbon dioxide (CO2CO_2) efflux
Soil temperature

Eşleşmeler

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Cevap

Soil volumetric water content corresponds to the independent variable, Soil carbon dioxide efflux corresponds to the dependent variable, and Soil temperature corresponds to the controlled variable.
Soil volumetric water content is manipulated by the researchers across plots, so it is the independent variable. Soil CO2CO_2 efflux is measured as the experimental response, making it the dependent variable. Soil temperature is maintained at a constant 22C22^\circ\text{C}, making it a controlled variable.

Adım Adım Çözüm

1
Identify the factor intentionally manipulated across experimental trials.
The soil volumetric water content was deliberately set to different values (10%10\% to 50%50\%).
The variable systematically changed by the researchers is the independent variable.
2
Identify the outcome or metric measured to evaluate the effect of the manipulation.
The soil CO2CO_2 efflux was recorded at the end of 48 hours for each plot.
The response variable that changes as a result of the independent variable is the dependent variable.
3
Identify parameters kept uniform or unchanged throughout the experiment.
Soil temperature was held constant at 22C22^\circ\text{C} in all plots.
Conditions intentionally kept identical to isolate the effect of the independent variable are controlled variables.

Anahtar Kavram

Identifying Independent, Dependent, and Controlled Variables
Soru 4999Soru

After analyzing the structural integrity of the ancient stone bridge, the civil engineer recommended using dense, weather-resistant mortar, and she presented her findings to the preservation board.

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

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Cevap: NO CHANGE

Cevap

The original phrasing ('dense, weather-resistant mortar, and she') is correct because it properly separates coordinate adjectives with a comma and uses a comma followed by a coordinating conjunction to link two complete independent clauses.
The correct response preserves the original text, which appropriately uses a comma between the coordinate adjectives 'dense' and 'weather-resistant' (since they can be connected by 'and' or reversed) and uses a comma before the coordinating conjunction 'and' to connect two complete independent clauses.

Adım Adım Çözüm

1
Evaluate the adjectives preceding the noun 'mortar'
'Dense' and 'weather-resistant' are coordinate adjectives because they can be joined by 'and' ('dense and weather-resistant') or reversed without changing the meaning.
Coordinate adjectives modifying the same noun must be separated by a comma.
2
Identify the clause structure following the noun phrase
'the civil engineer recommended using dense, weather-resistant mortar' and 'she presented her findings to the preservation board' are both independent clauses.
Two independent clauses joined in a single sentence require a comma followed by a coordinating conjunction (FANBOYS: for, and, nor, but, or, yet, so).
3
Confirm the correct punctuation choice
The original phrasing contains both the comma between coordinate adjectives and the comma preceding 'and'.
All punctuation conventions for coordinate adjectives and compound independent clauses are satisfied.

Anahtar Kavram

Commas with Coordinate Adjectives and Independent Clauses
Soru 5000Soru

A team of plant physiologists investigated the effect of a chemical surfactant (Surfactant X) on the water retention capacity of corn seedlings (*Zea mays*) during a simulated drought.

Four experimental groups of 20 corn seedlings each were grown in identical pots containing 500 g of soil:
- Group 1 was watered with 100 mL of pure distilled water.
- Group 2 was watered with 100 mL of a 0.1% Surfactant X aqueous solution.
- Group 3 was watered with 100 mL of a 0.5% Surfactant X aqueous solution.
- Group 4 was watered with 100 mL of a 1.0% Surfactant X aqueous solution.

All groups were maintained in the same environmental chamber at 25C25^\circ\text{C} with 14 hours of light daily. After 14 days, the average change in seedling biomass was recorded.

Which group served as the control group in this experiment, and what baseline condition did it establish?

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Cevap: Group 1, because it measured seedling growth in the absence of Surfactant X to serve as a comparison baseline.

Cevap

Group 1 served as the control group because it measured seedling growth under conditions where the independent variable (Surfactant X) was omitted, providing a baseline comparison.
In experimental design, a control group establishes a baseline by maintaining all constant parameters while omitting the independent variable being tested. Here, the independent variable is the addition of Surfactant X. Group 1 receives pure distilled water without any Surfactant X, allowing researchers to measure normal plant growth and evaluate whether adding Surfactant X produces a significant effect.

Adım Adım Çözüm

1
Identify the independent variable tested in the experiment.
The independent variable is the concentration of Surfactant X added to the watering solution.
Determining what variable is intentionally manipulated helps isolate which group lacks this treatment.
2
Identify which experimental group excludes the independent variable.
Group 1 received 100 mL of pure distilled water with 0% Surfactant X.
A control group provides baseline conditions by withholding the treatment being evaluated.
3
Determine the purpose of including Group 1.
Group 1 establishes a baseline for normal seedling growth under drought conditions without any chemical additive.
Comparing the experimental groups (Groups 2–4) against Group 1 allows researchers to isolate the specific impact of Surfactant X.

Anahtar Kavram

Control Group and Baseline Identification
Tahmini Süre:1m 15s
ÖncekiSayfa 250 / 278Sonraki
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