Tüm alıştırma soruları

5215 soru

Soru 4681Soru →

Passage:
Submarine atmospheric monitoring systems employ catalytic burner units to eliminate trace hydrogen gas generated by lead-acid battery banks. Ambient air drawn into the burner assembly first passes through an activated charcoal filter to capture volatile organic contaminants that could poison the catalyst. The filtered air stream then enters the preheater chamber, where electric heating elements raise the sample temperature to exactly 280°C before it reaches the precious-metal catalyst bed. Once oxidized into water vapor, the treated air flows through a secondary heat exchanger that lowers the discharge temperature below 45°C prior to releasing the stream back into the ventilation ductwork.

Statement: According to the passage, electric heating elements in the preheater chamber raise the air sample temperature to 280°C prior to reaching the catalyst bed.

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Cevap: True

Cevap

True
The statement is explicitly supported by the text, which states that electric heating elements in the preheater chamber raise the sample temperature to exactly 280°C before the air reaches the precious-metal catalyst bed.

Adım Adım Çözüm

1
Scan the passage for keywords related to the preheater chamber, electric heating elements, and the catalyst bed.
Located the sentence: 'The filtered air stream then enters the preheater chamber, where electric heating elements raise the sample temperature to exactly 280°C before it reaches the precious-metal catalyst bed.'
Direct fact retrieval requires pinpointing the specific sentence addressing the component and its operational parameters.
2
Compare the retrieved factual details with the statement to evaluate.
The statement accurately reflects the specified temperature (280°C) and the correct sequence (prior to reaching the catalyst bed).
Evaluating factual accuracy requires verifying both the numerical value and the stated chronological order against the source text.

Anahtar Kavram

Direct Fact Retrieval
Tahmini Süre:45s
Soru 4682Soru →

Passage: A remote mountain telecommunications relay station relies on a primary solar array and a backup diesel generator equipped with an automated power management unit. When solar output drops below critical operating thresholds for more than thirty consecutive minutes, the unit is programmed to initiate a tiered conservation and failover sequence. First, auxiliary climate control and non-essential telemetry transmitters are powered down to preserve stored battery reserves. Next, if solar irradiance does not recover within ten minutes of initial load shedding, the system triggers the generator's pre-heat cycle and starter motor. Once the diesel generator stabilizes at its rated rotational speed, the automated transfer switch disconnects the depleted battery bank and routes emergency electrical power directly to the primary communications transceivers.

Based on the passage, arrange the projected automated sequence of events in chronological order from first to last following a prolonged drop in solar output.

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct chronological order of projected events is: (1) Auxiliary climate control and non-essential telemetry systems are powered down, (2) The power management unit engages the diesel generator's pre-heat cycle and starter motor, (3) The backup diesel engine reaches and stabilizes at its rated rotational operating speed, and (4) The automated transfer switch routes generator power directly to the primary transceivers.
The sequence follows the explicit tiered timeline outlined in the passage: non-essential loads are shed first to conserve remaining battery power; after ten minutes without solar recovery, the engine begins cranking; once the engine stabilizes at rated speed, the transfer switch completes the process by supplying generator power to the primary transceivers.

Adım Adım Çözüm

1
Identify the initial conservation trigger and response in the text.
The text states that auxiliary climate controls and non-essential telemetry are deactivated first upon reaching the thirty-minute threshold.
This establishes the first stage of the automated failover sequence.
2
Determine the conditional threshold for generator activation.
If solar irradiance remains low ten minutes after shedding loads, the unit triggers the generator's pre-heat cycle and starter motor.
Starting the generator represents the second sequential action.
3
Analyze the mechanical requirement before electrical power transfer.
The engine must reach and stabilize at its rated rotational speed.
Physical stabilization must occur prior to engaging the electrical transfer switch.
4
Determine the final failover state.
The automated transfer switch disconnects the battery bank and routes power to the primary transceivers.
This completes the failover sequence based on the stated protocol.

Anahtar Kavram

Predicting Sequential Future Outcomes from Procedural Text
Tahmini Süre:1m 0s
Soru 4683Soru →

Consider the algebraic expression:

−2a(3a−4b)−3b(a−2b)+5a2-2a(3a - 4b) - 3b(a - 2b) + 5a^2

Which of the following represents the correctly simplified form of this expression?

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Cevap: −a2+5ab+6b2-a^2 + 5ab + 6b^2

Cevap

The correctly simplified form is −a2+5ab+6b2-a^2 + 5ab + 6b^2.
The expression correctly applies the distributive property while carefully maintaining negative signs, and properly groups terms with identical variable combinations (a2a^2, abab, and b2b^2) to reach the final simplified form.

Adım Adım Çözüm

1
Distribute −2a-2a into the first set of parentheses.
−6a2+8ab-6a^2 + 8ab
Applying the distributive property: (−2a×3a)+(−2a×−4b)(-2a \times 3a) + (-2a \times -4b). A negative term multiplied by a negative term results in a positive term.
2
Distribute −3b-3b into the second set of parentheses.
−3ab+6b2-3ab + 6b^2
Applying the distributive property: (−3b×a)+(−3b×−2b)(-3b \times a) + (-3b \times -2b). Again, the two negative factors produce a positive result.
3
Write out the full expanded expression by combining the distributed parts with the remaining term.
−6a2+8ab−3ab+6b2+5a2-6a^2 + 8ab - 3ab + 6b^2 + 5a^2
Setting up the expression to easily identify and group like terms together.
4
Group and combine the like terms.
−a2+5ab+6b2-a^2 + 5ab + 6b^2
Combining the a2a^2 terms (−6a2+5a2=−a2-6a^2 + 5a^2 = -a^2) and the abab terms (8ab−3ab=5ab8ab - 3ab = 5ab). The b2b^2 term remains unchanged.

Anahtar Kavram

Simplifying Expressions using the Distributive Property
Tahmini Süre:1m 0s
Soru 4684Soru →

While the older radio transmitter produced erratic signal transmissions that fluctuated without warning, the upgraded digital transceiver maintained a constant broadcast throughout the field exercise. Even during severe weather, communications personnel observed that the new equipment operated with steady reliability.

As used in the passage, what does the word "erratic" most nearly mean?

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Cevap: Inconsistent and unpredictable

Cevap

Inconsistent and unpredictable
The sentence opens with the transition word 'While,' which sets up a direct contrast between the older transmitter and the upgraded unit. The upgraded unit is described as having a 'constant broadcast' and 'steady reliability.' Therefore, the older unit's 'erratic' transmissions must mean the opposite of constant and steady, which is 'inconsistent and unpredictable.'

Adım Adım Çözüm

1
Identify the contrast signal word and the contrasting concept in the passage.
The word 'While' introduces a contrast between the older transmitter's signal and the upgraded transceiver's 'constant broadcast' and 'steady reliability.'
Contrast indicators signal that the target word has a meaning opposite to the counterpart phrase provided in the comparison.
2
Determine the antonym of the contrasting clue to find the meaning of the target word.
The opposite of 'constant' and 'steady' is 'inconsistent and unpredictable.'
Because the two devices behave in opposite ways, the older transmitter's 'erratic' transmissions must be irregular and fluctuating.

Anahtar Kavram

Identifying Antonym and Contrast Context Clues
Tahmini Süre:45s
Soru 4685Soru →

Read the following technical passage:

During pre-flight pressure testing of an aircraft's pitot-static system, technicians connect a calibrated field test set to the fuselage pitot probe adapter. To prevent rupture of the internal airspeed indicator diaphragms, the pitot line pressure must not exceed 25 inches of water before the static equalization valve is opened. If the test set displays an unexpected differential pressure spike, the technician must immediately vent the pneumatic manifold using the manual dump valve rather than cycling the electrical pump switch. This ensures that moisture and pressurized air escape without straining the sensitive aneroid wafers.

According to the passage, what action must a technician take if an unexpected differential pressure spike occurs?

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Cevap: Vent the pneumatic manifold using the manual dump valve

Cevap

Vent the pneumatic manifold using the manual dump valve
The author explicitly states that if the test set displays an unexpected differential pressure spike, the technician must immediately vent the pneumatic manifold using the manual dump valve.

Adım Adım Çözüm

1
Locate the specific condition mentioned in the prompt regarding an unexpected differential pressure spike.
Identified the sentence stating: 'If the test set displays an unexpected differential pressure spike, the technician must immediately vent the pneumatic manifold using the manual dump valve rather than cycling the electrical pump switch.'
Scanning for key terms isolates the exact sentence addressing the scenario.
2
Extract the explicit procedural instruction linked to that condition.
The technician must vent the pneumatic manifold using the manual dump valve.
Direct fact retrieval requires selecting the explicit statement provided in the text without inference.

Anahtar Kavram

Direct retrieval of explicitly stated procedures in technical text
Tahmini Süre:1m 0s
Soru 4686Soru →

Read the following technical maintenance report and use the contrast clue to complete the statement. What word best completes the blank?

Aşağıdaki boşlukları doldurun

Unlike the abrasive solvent that scratched the delicate protective glass on the sensor units, the newly issued cleaning agent was and preserved the finished surface. Technicians were directed to discontinue the use of harsh industrial detergents and rely solely on this balanced solution for all future maintenance.
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Cevap

The correct word to fill the blank is 'gentle' (or acceptable alternatives such as 'mild', 'nonabrasive', or 'safe').
The contrast indicator 'Unlike' establishes an antonym relationship between the two cleaning agents. Since the first solvent is characterized as 'abrasive' because it scratched the glass, the new cleaning agent must have the opposite property—meaning it is 'gentle', 'mild', or 'nonabrasive'—which is reinforced by the fact that it preserved the surface without causing wear.

Adım Adım Çözüm

1
Identify the contrast indicator and the initial descriptive trait in the passage.
The opening word 'Unlike' signals a direct contrast between the original cleaner and the newly issued formula. The original cleaner is described as an 'abrasive solvent' that caused scratches.
Contrast signal words establish that the target characteristic in the main clause must express the opposite quality of the referenced item.
2
Determine the antonym of the trait that fits the context of protecting delicate surfaces.
The opposite of 'abrasive' and 'harsh' in the context of surface treatment is 'gentle', 'mild', or 'nonabrasive', which aligns with the fact that the agent preserved the finished surface.
A term conveying a non-damaging, soft, or mild quality completes the logical contrast required by the sentence.

Anahtar Kavram

Identifying Antonym and Contrast Context Clues
Tahmini Süre:45s
Soru 4687Soru →

Read the following passage about wildland fire management:

"During wildland firefighting operations, forestry crews establish firebreaks—wide swaths of land cleared of combustible brush and timber. These physical barriers do not extinguish flames outright; rather, their main operational purpose is to check the advancing perimeter of the wildfire, depriving the front of continuous fuel and slowing its momentum so suppression crews can mount a direct attack."

Based on the context of the passage, complete the statement below to define the target word.

Aşağıdaki boşlukları doldurun

In the passage, the word "check" is used in context to mean the advancing wildfire.
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Cevap

restrain (or halt, slow, curb, stop)
In this passage, "check" means to restrain, slow, or halt. The author provides direct context clues by stating that firebreaks do not put out fires completely, but instead function by "depriving the front of continuous fuel and slowing its momentum."

Adım Adım Çözüm

1
Locate the target word "check" in the passage and identify the clause in which it appears.
The text states that the purpose of firebreaks is to "check the advancing perimeter of the wildfire."
Identifying the target word within its structural sentence frame is the first step in contextual vocabulary analysis.
2
Examine surrounding context clues, including contrast and explanatory phrases.
The author contrasts checking with extinguishing ("do not extinguish flames outright; rather...") and clarifies the action as "depriving the front of continuous fuel and slowing its momentum."
The contrast transition "rather" and the participial phrase "slowing its momentum" provide direct contextual evidence of the intended meaning.
3
Determine an appropriate synonym that satisfies the grammatical blank and reflects the meaning in the passage.
Words such as "restrain", "halt", "slow", or "curb" accurately capture the action of impeding forward movement.
In this context, the polysemous verb "check" refers to stopping or slowing progress rather than inspecting, verifying, or marking.

Anahtar Kavram

Inferring contextual vocabulary meaning of a polysemous word using contrast and explanatory context clues.
Tahmini Süre:1m 0s
Soru 4688Soru →

Read the following technical passage about aircraft emergency systems:

A Ram Air Turbine (RAT) is an emergency power source installed on modern military and commercial aircraft. In the event of total engine failure or primary electrical and hydraulic loss, the RAT automatically deploys into the airstream from a compartment in the fuselage or wing. As oncoming airflow spins its multi-blade propeller, the turbine directly drives a dedicated hydraulic pump, an electrical generator, or both. The RAT is governed to operate only when the aircraft maintains a minimum airspeed to ensure sufficient rotational speed. Because it derives its kinetic energy strictly from forward motion, it cannot generate power while the aircraft is stationary on the ground. Once deployed in flight, standard RAT systems cannot be retracted from the cockpit and must be manually reset by ground maintenance personnel after landing.

Match each statement regarding Ram Air Turbine (RAT) operation with its factual status according to the passage.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Generating auxiliary power while the aircraft is stationary on the ground
Retracting the deployed turbine assembly mid-flight using cockpit controls
Deploying automatically into the airstream upon total loss of primary power

Eşleşmeler

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Cevap

Generating power while stationary on the ground matches being contradicted due to forward motion requirements; retracting mid-flight via cockpit controls matches being contradicted due to requiring ground maintenance reset; and deploying automatically upon primary power failure matches being explicitly confirmed by the passage.
The passage outlines clear technical constraints for the Ram Air Turbine. Generating power on the ground is contradicted because the system requires kinetic energy from forward airspeed. In-flight retraction from the cockpit is contradicted because reset requires manual action by ground maintenance personnel. In contrast, automatic deployment following total primary power loss is explicitly confirmed by the text.

Adım Adım Çözüm

1
Evaluate the statement regarding stationary ground power generation against the text.
The passage explicitly notes that the RAT cannot generate power while stationary on the ground because it requires forward motion.
Identifies that ground power generation is a contradicted negative detail.
2
Evaluate the statement regarding cockpit retraction against the text.
The passage confirms that in-flight cockpit retraction is impossible and that reset requires ground maintenance personnel after landing.
Identifies that mid-flight cockpit retraction is contradicted by the passage.
3
Evaluate the statement regarding automatic deployment conditions.
The text directly states that total engine failure or primary electrical/hydraulic loss triggers automatic deployment.
Confirms this statement as a directly stated positive detail.

Anahtar Kavram

Distinguishing explicitly stated facts from contradicted or unsupported operational claims in technical passages.
Tahmini Süre:1m 0s
Soru 4689Soru →

Read the following technical passage and fill in the blanks with the exact details explicitly stated in the text.

Aşağıdaki boşlukları doldurun

Passage:
During turn-around servicing of helicopter main rotor transmissions, mechanics inspect the magnetic chip detector plug. When microscopic ferrous particles bridge the gap between the internal electrodes, the sensor illuminates a cockpit warning light. If fine metallic fuzz is detected without visible flakes or chips, technicians clean the magnetic core using a lint-free swab saturated with isopropyl alcohol before reinserting the plug with a new silicone O-ring.

According to the passage, technicians clean the magnetic core using a lint-free swab saturated with
and reinstall the plug using a new O-ring.
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Cevap

The magnetic core is cleaned using isopropyl alcohol, and the plug is reinstalled using a silicone O-ring.
The passage explicitly states that technicians clean the magnetic core with a lint-free swab saturated with isopropyl alcohol and reinsert the plug using a new silicone O-ring.

Adım Adım Çözüm

1
Scan the passage for the specific cleaning solvent used on the magnetic core.
The text states that technicians clean the magnetic core using a lint-free swab saturated with isopropyl alcohol.
Direct fact retrieval requires extracting the exact cleaning agent explicitly named in the text.
2
Scan the passage for the specific material required for the replacement O-ring.
The text states that the plug is reinserted with a new silicone O-ring.
Direct fact retrieval requires identifying the exact material property explicitly specified for the O-ring.

Anahtar Kavram

Direct Fact Retrieval from Technical Passages
Tahmini Süre:1m 0s
Soru 4690Soru →

During the rapid de-escalation drills, the commander praised the logistics unit for their tenacious adherence to the revised transport timeline despite severe equipment shortages. While neighboring divisions viewed the rigid schedule as an unreasonable burden, the commander recognized that the team's persistent refusal to delay supply convoys ensured the survival of forward operating bases in contested territory.

In the passage, the author uses the word "tenacious" primarily to convey which of the following?

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Cevap: Admirable perseverance and resolve under difficult operational conditions

Cevap

Admirable perseverance and resolve under difficult operational conditions
The passage establishes a commendatory tone by stating that the commander 'praised' the unit and that their persistent actions 'ensured the survival' of forward bases amid severe equipment shortages. Consequently, 'tenacious' carries a strong positive connotation of admirable perseverance and steadfast dedication.

Adım Adım Çözüm

1
Identify surrounding context clues and emotional tone associated with the target word
The passage notes the commander praised the unit and recognized that their refusal to delay shipments ensured the survival of bases despite severe equipment shortages.
Contextual clues reveal whether a word with multiple emotional shades carries a positive, neutral, or negative connotation.
2
Evaluate the specific connotation of 'tenacious' within this approving framework
In this context, 'tenacious' reflects praiseworthy determination and resolve rather than obstinate or uncooperative behavior.
Differentiating positive persistence from negative stubbornness ensures accurate interpretation of the author's tone.

Anahtar Kavram

Determining Word Connotation and Tone from Context
Tahmini Süre:1m 0s
Soru 4691Soru →

A drainage system is clearing a flooded trench. During the first hour of operation, the system removes 30%30\% of the initial volume of water. During the second hour, it removes 40%40\% of the water that remained after the first hour. If there are exactly 2,1002,100 gallons of water still left in the trench after the second hour, calculate the initial volume of water and the exact amount of water removed during the second hour.

Aşağıdaki boşlukları doldurun

The initial volume of water in the trench was gallons, and the system removed exactly gallons during the second hour.
Cevabı ve açıklamayı göster

Cevap

The initial volume was 5,000 gallons, and 1,400 gallons were removed during the second hour.
The problem requires tracking successive percentage changes relative to an unknown original base. Because 30%30\% was removed initially, 70%70\% of the original volume remained. During the second hour, 40%40\% of that 70%70\% was removed, which equates to removing an additional 28%28\% of the original volume. Subtracting 28%28\% from the 70%70\% leaves 42%42\% of the original volume. We are told this 42%42\% equals 2,1002,100 gallons. By dividing 2,1002,100 by 0.420.42, we find the initial volume was 5,0005,000 gallons. The water removed during the second hour is 28%28\% of 5,0005,000, which equals 1,4001,400 gallons.

Adım Adım Çözüm

1
Calculate the percentage of the initial volume remaining after the first hour.
100%−30%=70%100\% - 30\% = 70\% of the initial volume remains.
The second hour's removal rate is applied to the remaining water, so establishing this new base is required.
2
Determine the percentage of the initial volume that is removed during the second hour.
40%40\% of 70%70\% is 0.40×0.70=0.280.40 \times 0.70 = 0.28, or 28%28\% of the initial volume.
This converts the second hour's removal rate into a percentage relative to the overall initial volume.
3
Calculate the final percentage of the initial volume remaining after the second hour.
70%−28%=42%70\% - 28\% = 42\% of the initial volume remains.
Subtracting the second hour's removed percentage from the first hour's remaining percentage yields the final remaining proportion.
4
Set up an equation using the final remaining volume to find the initial volume (VV).
0.42V=2,1000.42V = 2,100, which solves to V=2,1000.42=5,000V = \frac{2,100}{0.42} = 5,000 gallons.
This algebraic equation equates the final percentage representation to the actual known volume to isolate the initial total.
5
Calculate the exact volume removed during the second hour.
0.28×5,000=1,4000.28 \times 5,000 = 1,400 gallons.
Applying the percentage removed during the second hour to the solved initial volume provides the specific amount removed.

Anahtar Kavram

Successive Percentages and Reverse Base Calculations
Soru 4692Soru →

Calculate the base production cost and the net percentage increase based on the successive price changes described below.

Aşağıdaki boşlukları doldurun

A technology firm sets the retail price of an industrial 3D printer by applying a 125%125\% markup to its base production cost. During a trade show, the retail price is discounted by 40%40\%. Partners who place orders at the show receive an additional 20%20\% discount on the trade show price.

If a partner pays $5,400\$5,400 for the printer, the base production cost is ${{blank1}}\$\{\{blank_1\}\}, and the firm's final selling price represents an overall increase of {{blank2}}%\{\{blank_2\}\}\% over the base production cost.
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Cevap

The base production cost is $5,000, and the final selling price represents an 8% overall increase.
To solve problems with successive percentage changes, express each change as a multiplier. A 125% markup is a multiplier of 2.25. A 40% discount is a multiplier of 0.60. A 20% discount is a multiplier of 0.80. Multiplying these sequentially (2.25 × 0.60 × 0.80) yields a final compound multiplier of 1.08. This means the final price is 1.08 times the base cost, which represents an 8% overall increase. Setting 1.08C equal to the final price of 5,400allowsustosolveforCbydividing5,400by1.08,givingabasecostof5,400 allows us to solve for C by dividing 5,400 by 1.08, giving a base cost of 5,000.

Adım Adım Çözüm

1
Express the initial retail price in terms of the base production cost (C).
Retail Price = C + 1.25C = 2.25C
A 125% markup means adding 125% of the cost to the original 100% cost, resulting in a multiplier of 2.25.
2
Apply the first discount (40%) to the retail price.
Trade Show Price = 2.25C × (1 - 0.40) = 2.25C × 0.60 = 1.35C
A 40% discount means the buyer pays 60% of the current price. Discounts are multiplicative.
3
Apply the second discount (20%) to the trade show price.
Final Partner Price = 1.35C × (1 - 0.20) = 1.35C × 0.80 = 1.08C
Successive discounts apply to the most recently discounted amount, not the original price.
4
Set up an equation for the final price and solve for the base cost (C).
1.08C = 5400 → C = 5400 / 1.08 = 5000
This reverse-calculates the initial unknown variable using the final compound multiplier and the given final amount.
5
Determine the net percentage increase from the final compound multiplier.
Multiplier is 1.08, which represents 100% + 8%. Thus, the net increase is 8%.
The coefficient of C directly indicates what percentage the final price is of the original cost.

Anahtar Kavram

Successive Percentage Adjustments and Reverse Calculation
Tahmini Süre:3m 0s
Soru 4693Soru →

An automated distribution center operates robotic cranes within a sub-zero cold storage unit. Operating guidelines state that if the interior temperature rises above −10∘C-10^\circ\text{C}, the automated system must divert all outgoing inventory carts through a sealed staging vestibule instead of sending them straight to the loading dock. Furthermore, if the staging vestibule's thermal barrier is non-operational during a temperature breach, the system supervisor is programmed to immediately pause all crane movement to protect temperature-sensitive goods. During an afternoon defrost cycle, the interior sensor detects a temperature of −6∘C-6^\circ\text{C}, and the thermal barrier in the staging vestibule registers an electrical disconnection.

Based on the passage, which action will the automated system supervisor most likely take next?

Cevabı ve açıklamayı göster

Cevap: Halt all robotic crane movement within the cold storage unit

Cevap

Halt all robotic crane movement within the cold storage unit
The passage outlines two specific conditions: first, temperatures warmer than −10∘C-10^\circ\text{C} trigger diversion through a staging vestibule; second, if the vestibule's thermal barrier is not working during such an event, the system supervisor is programmed to pause all crane movement. The scenario presents a temperature of −6∘C-6^\circ\text{C} (which is warmer than −10∘C-10^\circ\text{C}) combined with an electrical disconnection (non-operational barrier). Synthesizing these facts leads directly to the conclusion that crane movements will be halted.

Adım Adım Çözüm

1
Analyze the reported temperature condition
The interior reading of −6∘C-6^\circ\text{C} is higher than the −10∘C-10^\circ\text{C} limit, activating the temperature breach protocol.
Identifying whether the primary threshold was crossed determines which operating branch applies.
2
Evaluate the operational state of the secondary safety system
The electrical disconnection means the staging vestibule's thermal barrier is non-operational during the breach.
The protocol specifies a distinct mandatory action when the secondary barrier fails during an active temperature breach.
3
Synthesize the two findings to determine the required programmed response
Because a temperature breach occurred while the thermal barrier was down, the supervisor must pause all crane activity.
Combining the explicit conditional rules directly indicates the next automated action.

Anahtar Kavram

Predicting Future Outcomes
Tahmini Süre:1m 0s
Soru 4694Soru →

A numerical value decreases from 8080 to 6464. Which of the following represents the percentage of decrease?

Cevabı ve açıklamayı göster

Cevap: 20%20\%

Cevap

The correct answer is 20%20\%.
The percentage decrease is found by dividing the absolute change by the original amount. The value decreased by 16 (from 80 to 64). Dividing 16 by the original value of 80 gives 0.20, which converts to 20%.

Adım Adım Çözüm

1
Calculate the absolute decrease in the value.
80−64=1680 - 64 = 16
To find the percentage decrease, the total amount of change must first be determined.
2
Divide the change by the original starting value.
1680=0.20\frac{16}{80} = 0.20
Percentage change is always based on the initial value, not the final value.
3
Convert the resulting decimal to a percentage.
0.20×100%=20%0.20 \times 100\% = 20\%
Multiplying by 100 converts the decimal proportion into a percentage format.

Anahtar Kavram

Percentage Decrease
Tahmini Süre:45s
Soru 4695Soru →

Read the passage about railway track engineering. Based on the provided facts, what term logically completes the concluding deduction?

Aşağıdaki boşlukları doldurun

Continuous welded rail (CWR) expands longitudinally as ambient temperatures rise. To prevent track buckling, maintenance crews anchor the steel rails at a calculated neutral temperature and reinforce them with compacted crushed-stone ballast, which provides lateral restraint against expansion forces. When routine maintenance disturbs the surrounding ballast during cool weather, the track's lateral resistance is significantly compromised. Consequently, if seasonal temperatures rise sharply before the ballast has fully reconsolidated, the expanding rails are under severe risk of .
Cevabı ve açıklamayı göster

Cevap

buckling (or track buckling)
The text states that compacted ballast is necessary to supply the lateral restraint that prevents expanding rails from buckling. Because the passage specifies that the ballast was disturbed (reducing lateral resistance) and temperatures subsequently rose (increasing expansion), the direct and necessary logical deduction is that the track will experience buckling.

Adım Adım Çözüm

1
Identify the cause of mechanical stress and the role of the safety mechanism.
Rising temperatures cause longitudinal expansion in the rail, which induces buckling unless compacted ballast provides sufficient lateral restraint.
Establishes the foundational relationship between thermal expansion and the structural support needed to keep the track aligned.
2
Evaluate the specific vulnerability introduced by the scenario.
Disturbing the ballast during maintenance removes the lateral resistance required to counteract expansion.
Identifies that the critical protective condition has been disabled before thermal expansion occurs.
3
Deduce the inevitable physical consequence when temperature increases.
With expansion forces active and lateral restraint compromised, the rails will buckle.
Synthesizes the active expanding force with the compromised restraint to reach the only supported conclusion.

Anahtar Kavram

Synthesizing cause-and-effect relationships and physical constraints in a technical passage to deduce a logical outcome.
Soru 4696Soru →

A cosmetics laboratory prepares a bulk batch of hand sanitizer containing 33 gallons and 22 quarts. The sanitizer will be packaged into small travel bottles that hold 44 fluid ounces each. How many travel bottles can be completely filled from this batch?

Cevabı ve açıklamayı göster

Cevap: 112

Cevap

112
The correct answer is found by first unifying the entire volume into fluid ounces. Converting the 3 gallons into quarts yields 12 quarts. Adding the extra 2 quarts brings the total to 14 quarts. Because there are 32 fluid ounces in a single quart, you multiply 14 by 32 to determine the batch contains 448 fluid ounces. Dividing this total by the 4-ounce capacity per bottle yields exactly 112 bottles.

Adım Adım Çözüm

1
Convert the gallons portion to quarts.
3 gallons = 12 quarts
Converting to a smaller common unit makes it easier to combine the total volume.
2
Find the total volume in quarts.
12 quarts + 2 quarts = 14 quarts
This gives the complete batch size in a single unit.
3
Convert the total quarts to fluid ounces.
14 quarts × 32 fluid ounces/quart = 448 fluid ounces
The bottles are measured in fluid ounces, so the total volume must match this unit before dividing.
4
Divide the total fluid ounces by the capacity of each bottle.
448 ÷ 4 = 112
This determines the exact number of travel bottles that can be filled.

Anahtar Kavram

Converting mixed US customary volume units (gallons and quarts) to fluid ounces and dividing by a unit rate.
Soru 4697Soru →

Read the following passage:

"During the field survey of an active volcanic caldera, the chief volcanologist commended the sensor-deployment crew for their vigilant monitoring of subterranean tremors. Even when hazardous gas emissions spiked unpredictably, the researchers remained stationed at their posts to ensure uninterrupted telemetry transmission."

Based on the tone and context clues provided in the passage, fill in the blanks to complete the analytical statement below:

Aşağıdaki boşlukları doldurun

In this passage, the word 'vigilant' carries a distinctly connotation, reflecting an authorial tone of toward the crew's dedication.
Cevabı ve açıklamayı göster

Cevap

Blank 1: positive (or favorable / approving); Blank 2: admiration (or praise / respect)
The author uses the phrase 'chief volcanologist commended' and highlights the team's commitment to maintaining data transmission despite hazards. This establishes that 'vigilant' has a positive connotation, and the authorial tone expresses admiration for the crew's professional resolve.

Adım Adım Çözüm

1
Examine surrounding context clues in the passage
Identified supporting words such as 'commended' and 'ensure uninterrupted telemetry transmission'.
Contextual clues reveal how the author evaluates the crew's actions.
2
Determine the connotation of 'vigilant'
In this context, 'vigilant' signifies attentive and responsible professionalism rather than hyper-anxious paranoia.
The word is framed as a positive, praiseworthy attribute.
3
Infer the author's tone toward the research crew
The narrative highlights perseverance in dangerous conditions, establishing a tone of admiration and respect.
Commending workers who stay at their posts despite hazardous spikes demonstrates high regard.

Anahtar Kavram

Determining word connotation and authorial tone using surrounding contextual clues.
Tahmini Süre:1m 0s
Soru 4698Soru →

Passage:
During the manufacturing of temperature-sensitive vaccines, an industrial lyophilizer must maintain an internal chamber pressure below 0.08 millibars once the sublimation phase initiates. Standard operating protocol mandates that if the vacuum pressure rises above 0.12 millibars, the automated control unit must engage auxiliary condenser coils and trigger a secondary booster pump within ninety seconds to prevent product collapse. During a scheduled production cycle, sudden vapor release causes the chamber pressure to surge from 0.07 millibars to 0.16 millibars while the primary condenser remains at maximum capacity.

Statement:
Based on the passage, the automated control unit will engage the auxiliary condenser coils and activate the secondary booster pump to protect the vaccine batch.

Cevabı ve açıklamayı göster

Cevap: True

Cevap

The statement is True.
The evaluated statement accurately predicts the system's mandatory response under the conditions described in the text. Because the chamber pressure reached 0.16 millibars (surpassing the 0.12 millibar emergency threshold), the automated control unit must execute the stated protocol steps to preserve the batch.

Adım Adım Çözüm

1
Identify the conditional rule and trigger threshold defined in the passage.
The operating protocol requires activating auxiliary condenser coils and a secondary booster pump whenever pressure exceeds 0.12 millibars.
Establishing the cause-and-effect rule is necessary to determine what automated action must follow a pressure increase.
2
Evaluate the current operational data against the protocol threshold.
The pressure surged to 0.16 millibars, which is distinctly above the 0.12 millibars trigger limit.
Comparing the measured value to the operational benchmark confirms whether the threshold condition was met.
3
Predict the subsequent outcome based on the verified condition.
The system will proceed to engage the auxiliary condenser coils and secondary booster pump as mandated by protocol.
Connecting the triggered condition to the specified protocol yields the only logically supported future outcome.

Anahtar Kavram

Predicting future outcomes by applying explicit operational criteria to newly reported scenario data.
Tahmini Süre:1m 0s
Soru 4699Soru →

The greatest common factor (GCF) of two positive integers, xx and yy, is 1515, and their least common multiple (LCM) is 3,1503,150. If x=150x = 150, which of the following represents the prime factorization of yy?

Cevabı ve açıklamayı göster

Cevap: 32×5×73^2 \times 5 \times 7

Cevap

The prime factorization of y is 32×5×73^2 \times 5 \times 7.
The correct answer can be found by comparing prime exponents. The exponent of a prime in the GCF is the minimum of its exponents in xx and yy, while in the LCM it is the maximum. Given x=21×31×52x = 2^1 \times 3^1 \times 5^2, GCF=20×31×51\text{GCF} = 2^0 \times 3^1 \times 5^1, and LCM=21×32×52×71\text{LCM} = 2^1 \times 3^2 \times 5^2 \times 7^1. For prime 2, the min is 0, so yy must have 202^0. For prime 3, the max is 2, so yy must have 323^2. For prime 5, the min is 1, so yy must have 515^1. For prime 7, the max is 1, so yy must have 717^1. Combining these yields 32×5×73^2 \times 5 \times 7.

Adım Adım Çözüm

1
Find the prime factorizations of xx, the GCF, and the LCM.
x=150=21×31×52x = 150 = 2^1 \times 3^1 \times 5^2
GCF=15=20×31×51\text{GCF} = 15 = 2^0 \times 3^1 \times 5^1
LCM=3,150=21×32×52×71\text{LCM} = 3,150 = 2^1 \times 3^2 \times 5^2 \times 7^1
Comparing the exponents of prime factors between the numbers, their GCF, and their LCM allows us to deduce the exact prime factorization of yy.
2
Determine the necessary exponent for the prime factor 22 in yy.
The exponent for 22 in yy must be 00.
The GCF exponent is the minimum between xx and yy. Since the GCF has 202^0 and xx has 212^1, yy must provide the minimum of 00, meaning yy does not contain a factor of 22.
3
Determine the necessary exponent for the prime factor 33 in yy.
The exponent for 33 in yy must be 22.
The LCM exponent is the maximum between xx and yy. Since the LCM has 323^2 and xx has 313^1, yy must provide the maximum of 22, so it has 323^2.
4
Determine the necessary exponents for the prime factors 55 and 77 in yy.
The exponent for 55 is 11, and the exponent for 77 is 11.
For 55: The GCF has 515^1 and xx has 525^2, so yy must provide the minimum 11. For 77: The LCM has 717^1 and xx has 707^0, so yy must provide the maximum 11.
5
Combine the deduced prime factors to form the final prime factorization of yy.
y=20×32×51×71=32×5×7y = 2^0 \times 3^2 \times 5^1 \times 7^1 = 3^2 \times 5 \times 7
Multiplying the prime powers gives the complete prime factorization of yy.

Anahtar Kavram

Using prime factorizations to determine relationships between numbers, their Greatest Common Factor (GCF), and their Least Common Multiple (LCM).

Alternatif Yöntem

Instead of using the prime factorization minimum/maximum rules, you can use the mathematical property that the product of two positive integers is equal to the product of their GCF and LCM. Therefore, x×y=GCF×LCMx \times y = \text{GCF} \times \text{LCM}. Substituting the given values: 150×y=15×3,150150 \times y = 15 \times 3,150. This simplifies to 150y=47,250150y = 47,250. Solving for yy gives y=315y = 315. Finding the prime factorization of 315315 yields 32×5×73^2 \times 5 \times 7.
Tahmini Süre:2m 0s
Soru 4700Soru →

Consider the mathematical expression below:

−42−36÷(−3)×2∣1−4∣ -4^2 - \frac{36 \div (-3) \times 2}{|1 - 4|}

What is the exact evaluated value of this expression?

Cevabı ve açıklamayı göster

Cevap: -8

Cevap

-8
The correct answer is derived by carefully following the order of operations (PEMDAS/BODMAS). First, the denominator's absolute value evaluates to 3. Second, evaluating the numerator strictly from left to right gives 36÷(−3)=−1236 \div (-3) = -12, and −12×2=−24-12 \times 2 = -24. The entire fraction therefore simplifies to −24÷3=−8-24 \div 3 = -8. Next, the exponent −42-4^2 evaluates to −16-16 because the negative sign is not inside parentheses. Finally, subtracting the fraction's value yields −16−(−8)-16 - (-8), which simplifies to −16+8=−8-16 + 8 = -8.

Adım Adım Çözüm

1
Evaluate the absolute value grouping in the denominator.
∣1−4∣=∣−3∣=3|1 - 4| = |-3| = 3
Absolute value bars act as grouping symbols and must be evaluated first. Absolute value always returns a non-negative distance.
2
Evaluate the numerator from left to right.
36÷(−3)×2=−12×2=−2436 \div (-3) \times 2 = -12 \times 2 = -24
Multiplication and division have equal precedence, so they must be evaluated strictly from left to right.
3
Simplify the fraction by dividing the numerator by the denominator.
−243=−8\frac{-24}{3} = -8
The fraction bar acts as a grouping symbol separating the numerator and denominator.
4
Evaluate the exponent term.
−42=−16-4^2 = -16
Without parentheses around the base, the exponent applies only to the 4, not the negative sign.
5
Perform the final subtraction.
−16−(−8)=−16+8=−8-16 - (-8) = -16 + 8 = -8
Subtracting a negative number is equivalent to adding its positive value.

Anahtar Kavram

Applying the order of operations (PEMDAS), specifically evaluating multiplication/division from left to right, processing absolute values, and understanding how exponents apply to negative bases without parentheses.
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