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Question 4661Question →

What is the exact numerical value of the following mathematical expression?

∣−18∣−72+45−9 |-18| - 7^2 + \frac{45}{-9}
Show answer & explanation

Answer: -36

Answer

The correct numerical value is -36.
To evaluate the expression, follow the order of operations strictly. First, resolve the absolute value: |-18| becomes 18. Next, evaluate the exponent: 7^2 becomes 49 (note that the negative sign is separate from the squared base). Then, perform the division: 45 divided by -9 equals -5. Finally, perform the remaining subtraction and addition from left to right: 18 - 49 equals -31, and -31 + (-5) yields the final answer of -36.

Step-by-Step Solution

1
Evaluate the absolute value.
|-18| = 18
Absolute value acts as a grouping symbol and must be processed first, returning the non-negative distance from zero.
2
Evaluate the exponential term.
7^2 = 49
Exponents are evaluated before multiplication, division, addition, and subtraction. The negative sign is outside the base, so only the 7 is squared.
3
Evaluate the division.
45−9=−5\frac{45}{-9} = -5
Division and multiplication are evaluated before addition and subtraction.
4
Evaluate addition and subtraction from left to right.
18 - 49 + (-5) = -36
Addition and subtraction hold the same precedence and are solved strictly from left to right as they appear.

Key Concept

Order of Operations with signed numbers, absolute value, and exponents
Question 4662Question →

While modern composite airframes are remarkably resilient, earlier prototype materials were easily damaged under extreme thermal stress. Ground crews had to inspect older aircraft for fractures after every test flight, whereas new models consistently endured the harsh conditions without structural wear.

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

Show answer & explanation

Answer: Able to withstand damage

Answer

Able to withstand damage
The sentence opens with the contrast transition word 'While', contrasting the 'resilient' modern airframes with older prototypes that were 'easily damaged'. Additionally, the passage notes that new models 'consistently endured the harsh conditions', confirming that 'resilient' means able to withstand damage.

Step-by-Step Solution

1
Identify the contrast indicator and opposing clause in the text.
The word 'While' at the beginning of the sentence establishes a direct contrast between 'resilient' modern airframes and earlier prototypes that were 'easily damaged'.
Contrast signal words show that the two compared subjects possess opposite characteristics.
2
Determine the antonym of the contrast clue to define the target word.
Since the contrasting prototype materials were easily damaged and the new models endured harsh conditions, 'resilient' means able to withstand damage or recover quickly.
Deriving the opposite meaning of 'easily damaged' directly yields the definition of the target word.

Key Concept

Identifying Antonym and Contrast Context Clues
Estimated Time:45s
Question 4663Question →

Honeybees perform an astonishing behavior known as the waggle dance to communicate the precise location of nectar to their hive. By angling their movements relative to the sun and vibrating with remarkable accuracy, these tiny insects transmit complex navigational coordinates over long distances. It is truly marvelous how such small creatures execute their foraging tasks with such flawless coordination.

Which of the following best describes the author's tone toward honeybee communication?

Show answer & explanation

Answer: Admiring

Answer

Admiring
The author repeatedly relies on highly appreciative and enthusiastic diction—such as 'astonishing,' 'remarkable accuracy,' and 'truly marvelous'—to highlight the impressive nature of honeybee communication, establishing an admiring tone.

Step-by-Step Solution

1
Examine the author's specific word choices (diction) in the passage.
The passage uses strong positive descriptors such as 'astonishing,' 'remarkable accuracy,' 'truly marvelous,' and 'flawless coordination.'
An author's attitude and tone are revealed through emotional connotations and choice of adjectives.
2
Synthesize the overall attitude conveyed by these descriptors.
The diction clearly expresses wonder, praise, and respect for the insects' complex communication system.
Consistently appreciative vocabulary indicates an admiring tone.

Key Concept

Inferring author tone through diction and descriptive language
Estimated Time:45s
Question 4664Question →

Calculate the final sale price and fill in the blank with the correct numerical value.

Fill in the blanks below

A hardware store is selling a power drill that originally costs 120120 dollars. During a weekend sale, the drill is discounted by 20%20\%. The final sale price of the drill is dollars.
Show answer & explanation

Answer

96
The correct final price is 9696, which is found by taking 20%20\% of 120120 to determine the discount amount (2424), and then subtracting that discount from the original price (120−24=96120 - 24 = 96).

Step-by-Step Solution

1
Calculate the amount of the discount.
0.20×120=240.20 \times 120 = 24
To find the discount amount, multiply the original price by the discount percentage expressed as a decimal.
2
Subtract the discount from the original price to find the final sale price.
120−24=96120 - 24 = 96
The final sale price is the original price minus the amount of the discount.

Key Concept

Calculating a percentage decrease to find a final price

Alternative Method

You can calculate the final price directly in one step. Since the drill is discounted by 20%20\%, you are paying 100%−20%=80%100\% - 20\% = 80\% of the original price. Multiply 0.80×120=960.80 \times 120 = 96.
Estimated Time:45s
Question 4665Question →

During pre-deployment staging of armored vehicle launched bridge systems, technicians must carefully verify the hydraulic scissor arm mechanism. The secondary mechanical bypass valve must remain closed until hydraulic reservoir pressure stabilizes at 2,400 psi. If the ambient fluid temperature drops below 40°F, operators are required to cycle the auxiliary warm-up circuit for eight minutes before engaging the scissor release. Engaging the release mechanism prematurely can distort the internal bronze thrust bushings.

According to the passage, what must operators do if the hydraulic fluid temperature falls below 40°F before engaging the scissor release?

Show answer & explanation

Answer: Cycle the auxiliary warm-up circuit for eight minutes

Answer

Cycle the auxiliary warm-up circuit for eight minutes
The passage explicitly states that when the ambient fluid temperature drops below 40°F, operators must cycle the auxiliary warm-up circuit for eight minutes prior to engaging the scissor release.

Step-by-Step Solution

1
Locate the factual condition in the text regarding fluid temperature dropping below 40°F.
Identified the sentence: 'If the ambient fluid temperature drops below 40°F, operators are required to cycle the auxiliary warm-up circuit for eight minutes before engaging the scissor release.'
Direct fact retrieval requires pinpointing the exact condition stated in the prompt.
2
Extract the explicit mandatory procedure associated with this condition.
The mandated action is cycling the auxiliary warm-up circuit for eight minutes.
Direct retrieval relies solely on explicitly stated text without extrapolating or substituting values.

Key Concept

Direct Fact Retrieval
Estimated Time:1m 0s
Question 4666Question →

What is the evaluated result of the arithmetic expression below?

(−3)2−4×(−2)(-3)^2 - 4 \times (-2)
Show answer & explanation

Answer: 17

Answer

17
Following the proper order of operations, the exponent is evaluated first to yield 9. Next, multiplying 4 by -2 gives -8. Finally, subtracting -8 from 9 results in 9 + 8, which equals 17.

Step-by-Step Solution

1
Evaluate the exponent (−3)2(-3)^2.
9
According to the order of operations, exponents must be resolved before multiplication and subtraction.
2
Perform the multiplication 4×(−2)4 \times (-2).
-8
Multiplication takes precedence over subtraction.
3
Subtract the result of the multiplication from the result of the exponent.
17
Subtracting a negative number is equivalent to adding its positive counterpart (9−(−8)=9+8=179 - (-8) = 9 + 8 = 17).

Key Concept

Order of Operations with Integers
Question 4667Question →

An engineer uses the formula below to calculate a specific stress factor in a structural component:

p3−4pqr−q+(r−p)2 p^3 - \frac{4pq}{r - q} + (r - p)^2

If the component's parameters are measured as p=−2p = -2, q=−1q = -1, and r=3r = 3, what is the calculated stress factor?

Show answer & explanation

Answer: 15

Answer

15
The correct answer is found by strictly following the order of operations (PEMDAS) while properly applying integer sign rules during substitution. First, evaluating grouping symbols yields a denominator of 4 and an exponent base of 5. Second, resolving the exponents gives -8 and 25. Third, calculating the middle fraction evaluates to 2. Finally, computing -8 - 2 + 25 from left to right results in 15.

Step-by-Step Solution

1
Substitute the given values into the expression.
(−2)3−4(−2)(−1)3−(−1)+(3−(−2))2(-2)^3 - \frac{4(-2)(-1)}{3 - (-1)} + (3 - (-2))^2
Variable substitution must be done precisely, maintaining all negative signs within parentheses to avoid sign errors.
2
Simplify the expressions acting as grouping symbols (the denominator and the base of the final exponent).
(−2)3−4(−2)(−1)4+(5)2(-2)^3 - \frac{4(-2)(-1)}{4} + (5)^2
According to the order of operations, operations inside parentheses and implied grouping symbols like fraction bars must be completed first.
3
Evaluate the exponents.
−8−4(−2)(−1)4+25-8 - \frac{4(-2)(-1)}{4} + 25
Exponents are the next priority in the order of operations. Note that an odd exponent preserves the negative sign of its base: (−2)3=−8(-2)^3 = -8.
4
Perform the multiplication in the numerator, then the division.
−8−84+25=−8−2+25-8 - \frac{8}{4} + 25 = -8 - 2 + 25
Multiplication and division are evaluated from left to right before addition and subtraction.
5
Perform the remaining addition and subtraction from left to right.
−10+25=15-10 + 25 = 15
Addition and subtraction have equal priority and must be evaluated strictly from left to right.

Key Concept

Evaluating Complex Expressions using Order of Operations and Negative Numbers
Question 4668Question →

A base exchange marks up the wholesale price of a standard watch by 20%20\% to determine its retail price. If the retail price of the watch is $150\$150, what was the original wholesale price and the markup amount? Complete the statement below with your calculated values.

Fill in the blanks below

The original wholesale price of the watch was dollars, and the exact amount of the markup was dollars.
Show answer & explanation

Answer

The original wholesale price was 125 dollars, and the exact amount of the markup was 25 dollars.
Because the watch is marked up by 20%20\%, the $150\$150 retail price represents 120%120\% of the wholesale price. Dividing 150150 by 1.201.20 yields the correct wholesale price of 125125. The markup is the difference between the retail and wholesale prices (150−125=25150 - 125 = 25).

Step-by-Step Solution

1
Identify the mathematical relationship between the wholesale price, the markup percentage, and the retail price.
Wholesale Price+20% of Wholesale Price=Retail Price\text{Wholesale Price} + 20\% \text{ of Wholesale Price} = \text{Retail Price}
The markup is calculated based on the original wholesale price, not the final retail price.
2
Set up an algebraic equation where ww represents the wholesale price.
w+0.20w=$150w + 0.20w = \$150, which simplifies to 1.20w=$1501.20w = \$150
Translating the percentage relationship into a solvable equation allows us to find the unknown base amount.
3
Solve for the wholesale price (ww).
w=1501.20=125w = \frac{150}{1.20} = 125
Dividing the retail price by 1.201.20 isolates ww, giving the original wholesale price of $125\$125.
4
Calculate the exact markup amount by finding the difference between the retail and wholesale prices.
$150−$125=$25\$150 - \$125 = \$25
The markup amount is the portion added to the wholesale price to reach the retail price.

Key Concept

Reverse percentage calculation to find an original base amount.
Question 4669Question →

During tactical communications field tests, engineers evaluated standard whip antennas that broadcast in an omnidirectional pattern. While this configuration provides dependable signal coverage radiating outward in every direction across level terrain, it also increases vulnerability to enemy interception from any surrounding position.

Based on the passage and its word parts, what is the meaning of the word 'omnidirectional'?

Show answer & explanation

Answer: Radiating or transmitting in all directions

Answer

Radiating or transmitting in all directions
The correct answer accurately reflects the Latin prefix 'omni-' (all/every) combined with 'direction' and the adjectival suffix '-al'. This morphological breakdown is corroborated by the context phrase 'radiating outward in every direction.'

Step-by-Step Solution

1
Analyze the morphological components of the target word
The word consists of the Latin prefix 'omni-' (meaning 'all' or 'every'), the root 'direction', and the adjective suffix '-al' (meaning 'pertaining to'). Combined, the word morphologically means 'pertaining to all directions.'
Deconstructing unfamiliar or compound words into roots and affixes provides their foundational denotation.
2
Examine surrounding context clues in the passage
The text describes the antenna providing 'coverage radiating outward in every direction' and notes interception risks from 'any surrounding position.'
Contextual evidence confirms whether the morphological interpretation fits the author's specific usage.
3
Synthesize word structure with context to select the matching definition
The definition 'radiating or transmitting in all directions' aligns with both the morpheme 'omni-' and the contextual phrase 'in every direction.'
Eliminates distractors that misapply affixes or rely on irrelevant details.

Key Concept

Using Word Morphology (Roots and Affixes) in Context
Estimated Time:1m 0s
Question 4670Question →

Hospital airborne infection isolation rooms are designed with negative air pressure relative to adjoining corridors, ensuring that air flows inward rather than outward when doors open. Exhaust air from these rooms is drawn through high-efficiency particulate air (HEPA) filters before being discharged directly outdoors. If the dedicated exhaust fan suffers a mechanical drop in ventilation capacity while the central supply air continues to operate at normal output, the pressure differential reverses. Under such conditions, airborne pathogens are forced into public hospital hallways.

Based on the passage, which of the following can be logically concluded about airborne infection isolation rooms?

Show answer & explanation

Answer: Effective containment requires the exhaust system to extract air at a rate greater than the supply system introduces it.

Answer

Effective containment requires the exhaust system to extract air at a rate greater than the supply system introduces it.
The passage establishes that when exhaust capacity drops while supply air remains constant, the pressure differential reverses and pushes room air into hallways. This directly implies that maintaining inward air pressure depends on the exhaust system extracting more air than the supply system introduces.

Step-by-Step Solution

1
Analyze the conditions that govern air pressure differences in the passage.
The text states that negative pressure keeps air flowing inward, but when exhaust ventilation drops below the rate of incoming supply air, the pressure differential reverses and forces air outward.
Identifying the relationship between airflow balance and pressure direction is necessary to deduce the operational rule.
2
Deduce the necessary requirement for maintaining inward airflow.
Since supply air exceeding exhaust air creates positive outward pressure, sustaining negative inward pressure requires the exhaust rate to exceed the supply rate.
Connecting the failure condition to standard operation yields the logical deduction governing room containment.

Key Concept

Deducing necessary operational constraints from described mechanical relationships and failure states.
Estimated Time:1m 0s
Question 4671Question →

During a winter operations evaluation at a northern military airfield, ground safety protocol mandates that whenever runway friction coefficients drop below 0.35, flight operations must immediately suspend all incoming heavy transport landings and dispatch maintenance crews to spray chemical de-icing fluid. During a sudden freezing drizzle event, continuous telemetry reports indicate that the primary runway's friction coefficient has fallen from 0.42 to 0.28, while several scheduled cargo transports are currently on final approach.

Based on the passage, what action will the airfield operations team most likely take next?

Show answer & explanation

Answer: Suspend the landings of incoming cargo transports and begin spraying chemical de-icing fluid on the primary runway.

Answer

Suspend the landings of incoming cargo transports and begin spraying chemical de-icing fluid on the primary runway.
The passage outlines a clear cause-and-effect standard: if runway friction falls below 0.35, heavy landings must be suspended and chemical de-icer sprayed. Because the measured value is 0.28 during the freezing drizzle, the operations team will follow protocol by suspending incoming cargo landings and deploying chemical de-icing fluid.

Step-by-Step Solution

1
Identify the conditional rule established in the passage.
Heavy transport landings must be suspended and chemical de-icing fluid applied whenever runway friction drops below 0.35.
Establishing the operational threshold is necessary to evaluate the current event.
2
Evaluate the current scenario measurements against the established rule.
The friction coefficient is measured at 0.28, which is strictly below the critical 0.35 threshold.
Comparing numerical data allows determining whether the conditional trigger has been met.
3
Deduce the mandatory next action.
Operations must halt the approaching cargo transports and apply chemical de-icing fluid.
Predicting the immediate outcome requires applying the passage's stated protocol to the observed conditions.

Key Concept

Predicting Future Outcomes
Estimated Time:1m 0s
Question 4672Question →

Read the following passage about oceanic research:

"During the deep-sea survey of the oceanic trench, the research team had to sound the seafloor to calculate depth contours before deploying the robotic arm. Despite the extreme pressure, the crew managed to weather several sensor malfunctions without aborting the dive. Once on the seabed, the mechanical gripper was instructed to harbor delicate sediment cores within its sealed containment chamber until surfacing."

Based on the context of the passage, match each word to its specific contextual meaning.

Click a left item, then click its matching right item

Items

sound (as used in "to sound the seafloor")
weather (as used in "to weather several sensor malfunctions")
harbor (as used in "to harbor delicate sediment cores")

Matches

Show answer & explanation

Answer

'sound' matches 'To measure and determine the depth of a body of water'; 'weather' matches 'To endure and withstand challenging difficulties'; and 'harbor' matches 'To shelter and securely hold inside a enclosure.'
Each match is determined strictly by context clues in the passage: 'sound' is paired with measuring depth contours; 'weather' is paired with enduring malfunctions without quitting; and 'harbor' is paired with protecting and containing samples in a chamber.

Step-by-Step Solution

1
Examine the context surrounding the word 'sound' in the first sentence.
The text links 'sound the seafloor' directly to calculating 'depth contours.'
This shows the nautical use of 'sound' as an action to measure depth rather than producing an audible noise.
2
Analyze the action associated with 'weather' in the second sentence.
The crew faced difficulties ('sensor malfunctions') but continued 'without aborting the dive.'
This establishes 'weather' as a verb meaning to endure or withstand adverse circumstances rather than referring to atmospheric climate.
3
Evaluate how 'harbor' is applied to the sediment cores in the final sentence.
The gripper holds the physical samples 'within its sealed containment chamber.'
This indicates that 'harbor' means to house, shelter, or contain safely rather than referring to a coastal docking port.

Key Concept

Inferring secondary or domain-specific meanings of polysemous words through surrounding syntactic and situational clues.
Estimated Time:1m 15s
Question 4673Question →

A public aquarium needs to treat a 120120-gallon quarantine tank with a specialized water conditioner. The treatment instructions require 33 fluid ounces of conditioner for every 44 gallons of water. The conditioner is sold only in 11-quart bottles. If the aquarium purchases the minimum number of full bottles required for the treatment, how many fluid ounces of conditioner will be left over after treating the tank?

Show answer & explanation

Answer: 6

Answer

6
The correct answer is 66. First, calculate the total conditioner needed using the given proportion: (120 gallons÷4 gallons)×3 fluid ounces=90 fluid ounces(120 \text{ gallons} \div 4 \text{ gallons}) \times 3 \text{ fluid ounces} = 90 \text{ fluid ounces}. Next, convert the bottle capacity into fluid ounces so the units match: 1 quart=32 fluid ounces1 \text{ quart} = 32 \text{ fluid ounces}. To find the number of bottles required, divide the total needed by the bottle capacity: 90÷32=2.812590 \div 32 = 2.8125. Since the aquarium must purchase full bottles, they will need 33 bottles. The total volume of conditioner purchased is 3×32=963 \times 32 = 96 fluid ounces. Finally, subtract the needed amount from the purchased amount to find the leftover volume: 96−90=696 - 90 = 6 fluid ounces.

Step-by-Step Solution

1
Calculate the total fluid ounces of conditioner required for the tank.
9090 fluid ounces
The rate is 33 fluid ounces per 44 gallons. For a 120120-gallon tank, calculate (120÷4)×3=30×3=90(120 \div 4) \times 3 = 30 \times 3 = 90.
2
Convert the bottle size from quarts to fluid ounces.
3232 fluid ounces per bottle
Standard US Customary capacity conversions state that 11 quart is equal to 3232 fluid ounces.
3
Determine the minimum number of full bottles to purchase.
33 bottles
Divide the total needed by the bottle capacity: 90÷32=2.812590 \div 32 = 2.8125. Because they must buy full bottles, round up to the next whole number, which is 33.
4
Calculate the total fluid ounces purchased.
9696 fluid ounces
Multiply the number of bottles by the capacity per bottle: 3×32=963 \times 32 = 96.
5
Calculate the leftover volume of conditioner.
66 fluid ounces
Subtract the amount needed from the total amount purchased: 96−90=696 - 90 = 6.

Key Concept

Calculating liquid capacity required using proportional rates and converting standard US Customary units (quarts to fluid ounces) to determine purchasing requirements and remainders.
Question 4674Question →

Read the following passage:

Early navigators struggled for centuries to determine longitude at sea, often leading to disastrous shipwrecks on uncharted reefs. John Harrison's invention of the marine chronometer represented a brilliant triumph of human ingenuity over formidable physical obstacles. Despite facing persistent resistance from academic astronomers who favored complex lunar calculations, Harrison meticulously perfected a mechanical timepiece capable of keeping immaculate time amid rolling ocean swells and extreme temperature swings. His remarkable perseverance ultimately transformed oceanic voyaging from a perilous gamble into a precise science.

The author's attitude toward John Harrison's achievement can best be described as admiring and appreciative.

Show answer & explanation

Answer: True

Answer

True. The author's attitude toward John Harrison's achievement is admiring and appreciative.
The statement is true because the passage uses highly favorable phrasing such as 'brilliant triumph,' 'meticulously perfected,' and 'remarkable perseverance' to characterize John Harrison's work, clearly showing admiration and appreciation.

Step-by-Step Solution

1
Examine the descriptive diction and evaluative language used by the author to describe the subject.
Phrases like 'brilliant triumph,' 'human ingenuity,' 'meticulously perfected,' and 'remarkable perseverance' convey distinct praise and respect.
An author's tone and attitude are primarily inferred through the positive, negative, or neutral connotations of the words they select.
2
Compare the identified tone in the text with the characterization given in the statement.
The phrase 'admiring and appreciative' directly reflects the celebratory and respectful nature of the passage.
Determining alignment between textual evidence and the statement confirms whether the statement is true or false.

Key Concept

Inferring author tone through descriptive diction and connotation
Estimated Time:45s
Question 4675Question →

Read the following equipment maintenance log:

"During winter operational testing, the primary hydraulic actuator was sluggish, while the secondary backup actuator was highly responsive. Technicians observed that the treated surface coating remained dull rather than lustrous. Furthermore, the high-pressure exhaust port became scorching, despite the adjacent intake duct staying completely frigid."

Based on the contrast context clues in the passage, match each target word on the left with its directly contrasting counterpart on the right.

Click a left item, then click its matching right item

Items

sluggish
dull
scorching

Matches

Show answer & explanation

Answer

sluggish matches with responsive; dull matches with lustrous; scorching matches with frigid.
Each pair is established through explicit contrast signal words in the text: 'sluggish' is contrasted with 'responsive' using the conjunction 'while'; 'dull' is contrasted with 'lustrous' using the comparative phrase 'rather than'; and 'scorching' is contrasted with 'frigid' using the concession preposition 'despite'.

Step-by-Step Solution

1
Locate explicit contrast transition signal words in each sentence of the passage.
Identified the contrast indicators 'while', 'rather than', and 'despite'.
Contrast transition words signal that two connected ideas or descriptive terms represent opposite conditions or qualities.
2
Pair each target term with the word set in direct opposition across its respective transition indicator.
'sluggish' is linked across 'while' to 'responsive'; 'dull' is linked across 'rather than' to 'lustrous'; 'scorching' is linked across 'despite' to 'frigid'.
Each clause sets up a direct antonym relationship using the identified contrast indicators.

Key Concept

Identifying Antonym and Contrast Context Clues
Estimated Time:45s
Question 4676Question →

Steel ship hulls in saltwater environments are highly vulnerable to galvanic corrosion caused by electrochemical reactions between dissimilar metals. To protect the primary steel structure, sacrificial anodes made of zinc or aluminum alloys are mounted directly to the hull below the waterline. Because zinc has a lower electrochemical potential than steel, the zinc anode oxidizes preferentially, corroding away while the steel hull remains protected as the cathode. Sacrificial anodes require zero external electrical power to function and are routinely inspected during drydock servicing. Technicians schedule replacement when an anode is depleted by approximately 50 percent of its original mass.

According to the passage, all of the following statements regarding sacrificial zinc anodes are true EXCEPT:

Show answer & explanation

Answer: They require a continuous supply of external electrical power to function.

Answer

Sacrificial zinc anodes require a continuous supply of external electrical power to function.
The passage explicitly states that sacrificial anodes 'require zero external electrical power to function.' Therefore, claiming that they require a continuous supply of external electrical power directly contradicts the provided text, making it the correct answer to this negative-detail question.

Step-by-Step Solution

1
Analyze the question stem to identify the negative qualifier.
The stem uses the negative qualifier 'EXCEPT', requiring the selection of a statement that is unsupported or directly contradicted by the passage.
Recognizing negative phrasing ensures focus on finding the false statement rather than a true detail.
2
Verify each statement against the factual details provided in the passage.
The text confirms that anodes oxidize preferentially, attach below the waterline, and are replaced at 50 percent depletion, but states they 'require zero external electrical power to function.'
Cross-referencing each claim against the passage eliminates stated facts and isolates the contradictory assertion.
3
Select the contradicted claim as the final answer.
The assertion that sacrificial anodes require a continuous external electrical power supply directly contradicts the text.
Direct contradictions represent the target negative detail in standard reading comprehension assessments.

Key Concept

Identifying details that contradict or are absent from factual technical text under negative question phrasing.
Estimated Time:1m 0s
Question 4677Question →

Before applying thermal adhesive to ceramic heat tiles, aerospace technicians must deliberately score the bonding surface. Rather than leaving the material polished and smooth, creating shallow, intentional scratches across the substrate dramatically increases its effective surface area. These microscopic grooves provide mechanical grip for the adhesive compound, preventing the tiles from detaching during high-vibration atmospheric flight. If the surface remains unmarred, the adhesive cannot form an interlocking bond, risking catastrophic failure.

As used in the passage, the word "score" most nearly means which of the following?

Show answer & explanation

Answer: make shallow grooves or scratches on

Answer

The word "score" in this context means to make shallow grooves or scratches on a surface.
In this technical context, "score" means to make shallow grooves or scratches on a surface. The text explicitly defines the action in the following sentence as "creating shallow, intentional scratches across the substrate" to produce "microscopic grooves" that allow the adhesive to grip.

Step-by-Step Solution

1
Locate the target word and examine the immediate sentence context.
The target word "score" is used as an action performed on the ceramic bonding surface before applying adhesive.
Determining the word's grammatical role and context provides the initial framework for its meaning.
2
Identify direct context clues and contrasting details in the surrounding text.
The author contrasts scoring with "leaving the material polished and smooth" and defines the action as "creating shallow, intentional scratches" and "microscopic grooves."
Contextual clues and contrasting descriptions clarify the author's intended definition.
3
Select the option that reflects the physical action described by the clues.
The meaning of creating shallow incisions or scratches corresponds to making shallow grooves or scratches on the surface.
Eliminating common non-contextual definitions and antonym traps leaves the supported meaning.

Key Concept

Inferring the specific contextual meaning of a polysemous technical term using contrast and explanatory context clues.
Estimated Time:1m 0s
Question 4678Question →

An engineer is using the formula P=2a3−b[a−(c−b)]2P = 2a^3 - b[a - (c - b)]^2 to calculate the tolerance of a specific component. If the parameters are measured as a=−2a = -2, b=3b = 3, and c=−1c = -1, what is the calculated value of PP?

Show answer & explanation

Answer: -28

Answer

The calculated value of P is -28.
The correct answer is derived by substituting the values and strictly following PEMDAS: resolving the innermost parentheses to get -4, resolving the brackets to get 2, cubing -2 to get -8 and squaring 2 to get 4, performing the multiplications to yield -16 and 12, and subtracting to reach the final value of -28.

Step-by-Step Solution

1
Substitute the given values into the formula.
P=2(−2)3−3[−2−(−1−3)]2P = 2(-2)^3 - 3[-2 - (-1 - 3)]^2
Variable substitution must be done carefully, keeping negative numbers in parentheses to avoid sign drops.
2
Evaluate the innermost grouping symbols first.
(−1−3)=−4(-1 - 3) = -4
According to the order of operations, innermost parentheses must be simplified before outer brackets.
3
Simplify the expression inside the brackets by handling the double negative.
[−2−(−4)]=[−2+4]=2[-2 - (-4)] = [-2 + 4] = 2
Subtracting a negative number is equivalent to adding its positive counterpart.
4
Apply the exponents to their respective bases.
(−2)3=−8(-2)^3 = -8 and 22=42^2 = 4
Exponents must be evaluated before multiplication. A negative base raised to an odd power remains negative.
5
Perform the multiplication operations.
2(−8)=−162(-8) = -16 and 3(4)=123(4) = 12
Multiplication precedes subtraction in the order of operations.
6
Perform the final subtraction.
−16−12=−28-16 - 12 = -28
Subtraction is the final step after all grouping, exponents, and multiplication are resolved.

Key Concept

Order of Operations with Variable Substitution and Signed Integers
Estimated Time:45s
Question 4679Question →

Read the following passage:

Centrifugal fuel oil purifiers on commercial ships use high rotational speeds to separate water and solid contaminants from heavy fuel. Before fuel enters the spinning bowl, a water seal must be established to keep the fuel from escaping through the water discharge outlet. If the incoming fuel temperature exceeds allowable operating limits, its decreased viscosity and thermal energy can displace or evaporate this water seal.

Statement: Based on the passage, feeding excessively hot fuel into the purifier will cause unpurified fuel to be lost through the water discharge outlet.

Show answer & explanation

Answer: True

Answer

True (The loss of the water seal caused by excessive fuel temperature logically permits unpurified fuel to escape through the water discharge outlet).
The conclusion is directly supported by the text: the water seal is required to block fuel from the water outlet, and excessive fuel temperature eliminates that seal, inevitably allowing raw fuel to discharge through the water outlet.

Step-by-Step Solution

1
Identify the primary function of the water seal from the text.
The water seal acts as a barrier that prevents fuel from exiting via the water discharge outlet.
Understanding the normal operating mechanism is required to deduce failure outcomes.
2
Identify the effect of excessive fuel temperature on the system.
Excessive temperature reduces fuel viscosity and displaces or evaporates the water seal.
Tracking the specific consequence of the stated condition (overheating).
3
Synthesize the operational condition and the failure mode to draw a logical conclusion.
Because the seal blocking the water outlet is eliminated by the heat, unpurified fuel will escape through that outlet.
Validating the logical conclusion drawn in the statement.

Key Concept

Synthesizing Operational Constraints to Deduce Mechanical Outcomes
Estimated Time:1m 0s
Question 4680Question →

Based on the morphological breakdown of the target word and the surrounding context clues, what specific words or phrases best complete each blank in the passage below?

Fill in the blanks below

During routine aircraft weatherization, ground technicians applied a specialized hydrophobic sealant across the fuselage optical sensors. Derived from the Greek root *hydro-* (meaning water) and the affix *-phobic* (meaning fearing or repelling), this protective compound functions to moisture, thereby ensuring that the diagnostic camera lenses remain during heavy precipitation.
Show answer & explanation

Answer

Blank 1: repel (or resist / shed); Blank 2: clear (or dry / unobstructed)
Morphological analysis shows that 'hydro-' refers to water and '-phobic' refers to repelling. In the context of maintaining optical sensors during flight operations in rain, the sealant serves to repel or shed water, which keeps the sensor lenses clear, dry, and fully operational.

Step-by-Step Solution

1
Analyze the morphemes within the target word 'hydrophobic'.
The root 'hydro-' means water, and the suffix '-phobic' means fearing, repelling, or resisting.
Breaking down the word into its root and suffix establishes the fundamental definition of repelling water.
2
Examine the technical context of aircraft maintenance and sensor operation.
The purpose of treating camera sensors before heavy precipitation is to prevent water accumulation so vision remains clear.
Contextual clues about diagnostic camera lenses and precipitation confirm the functional outcome of applying a water-repelling sealant.
3
Combine the morphological meaning and contextual requirements to fill the blanks.
The sealant acts to 'repel' moisture so that the lenses stay 'clear' or 'dry'.
Both blanks must logically complete the grammatical and semantic structure of the passage.

Key Concept

Using Word Morphology (Roots and Affixes) in Context
Estimated Time:1m 0s
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