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Question 3621Question →

Despite the chemical solution being expected to remain stable throughout the heating process, the mixture became extremely volatile as the temperature rose. In this sentence, what does the underlined word volatile most nearly mean?

Show answer & explanation

Answer: Unstable and unpredictable

Answer

Unstable and unpredictable
The sentence sets up an explicit contrast using the word 'Despite'. The mixture was expected to remain 'stable', but instead it became 'volatile'. Therefore, 'volatile' must mean the opposite of stable, which is 'Unstable and unpredictable'.

Step-by-Step Solution

1
Identify the contrast marker and opposing clue in the sentence.
The preposition 'Despite' signals a contrast between the expectation of the solution remaining 'stable' and its actual state of becoming 'volatile'.
Recognizing the contrast transition indicates that the target word has an opposite meaning to the clue provided.
2
Determine the meaning opposite to 'stable'.
The opposite of 'stable' is 'unstable and unpredictable'.
Selecting the opposite of the known clue yields the correct definition of the target word.

Key Concept

Using contrast transition words like 'despite' to infer the meaning of an unfamiliar word from an explicit antonym clue.
Estimated Time:45s
Question 3622Question →

Match each uppercase isolated vocabulary word on the left with its most precise direct synonym on the right.

Click a left item, then click its matching right item

Items

OBDURATE
PERFUNCTORY
EQUIVOCAL
EPHEMERAL

Matches

Show answer & explanation

Answer

OBDURATE pairs with Stubborn; PERFUNCTORY pairs with Cursory; EQUIVOCAL pairs with Ambiguous; EPHEMERAL pairs with Fleeting.
Each isolated word correctly matches its closest one-to-one synonym: OBDURATE corresponds to Stubborn (inflexible); PERFUNCTORY corresponds to Cursory (hasty/routine); EQUIVOCAL corresponds to Ambiguous (uncertain meaning); and EPHEMERAL corresponds to Fleeting (short-lived).

Step-by-Step Solution

1
Determine the semantic definition of OBDURATE
OBDURATE denotes an unyielding, hardened, or unbendable disposition.
This establishes the primary direct match with 'Stubborn'.
2
Determine the semantic definition of PERFUNCTORY
PERFUNCTORY refers to work or gestures carried out superficially and without interest.
This establishes the primary direct match with 'Cursory'.
3
Determine the semantic definition of EQUIVOCAL
EQUIVOCAL refers to statements or meanings having multiple possible interpretations or uncertainty.
This establishes the primary direct match with 'Ambiguous'.
4
Determine the semantic definition of EPHEMERAL
EPHEMERAL indicates a short lifespan, transient state, or temporary duration.
This establishes the primary direct match with 'Fleeting'.

Key Concept

Direct semantic equivalence of isolated, high-tier adjectives without supporting contextual sentences.
Estimated Time:1m 0s
Question 3623Question →

The investigator delivered a dispassionate summary of the forensic evidence to the board. In this sentence, what does the word dispassionate most nearly mean?

Show answer & explanation

Answer: Impartial

Answer

Impartial
The word 'dispassionate' combines the Latin prefix 'dis-' (meaning 'away from' or 'free from') with the base 'passion' and adjective suffix '-ate'. Together, these morphological elements define something that is not influenced by strong emotion or prejudice, which makes 'impartial' the exact synonym.

Step-by-Step Solution

1
Break down the target word into its constituent morphological parts.
The word consists of the prefix dis- (meaning 'apart', 'not', or 'free from'), the base word passion (strong emotion or bias), and the suffix -ate (forming an adjective).
Morphological segmentation reveals how the affixes modify the base meaning.
2
Synthesize the affix meanings to deduce the literal definition.
Dispassionate describes an attitude or evaluation characterized by being free from personal passion, bias, or emotional involvement.
Combining 'free from' with 'passion' denotes emotional detachment and objectivity.
3
Match the synthesized definition to the closest synonym among the choices.
The term impartial directly corresponds to being objective and free from prejudice or emotional bias.
Both terms describe neutrality and fair judgment without personal favoritism.

Key Concept

Prefix and Suffix Analysis
Question 3624Question →

Which of the following most nearly means the same as the word 'perfidious'?

Show answer & explanation

Answer: Treacherous

Answer

Treacherous
The correct answer accurately reflects the morphological breakdown of 'perfidious'. The prefix 'per-' indicates destruction or moving away from, the root 'fid' means faith or trust, and the suffix '-ious' means full of. Together, they describe someone who is characterized by breaking trust, which is the exact definition of treacherous.

Step-by-Step Solution

1
Identify the root of the target word.
The root is 'fid', derived from the Latin 'fides', meaning faith or trust.
Breaking the word down into its root provides the core semantic meaning.
2
Analyze the prefix and its effect on the root.
The prefix 'per-' in this specific context carries a destructive meaning (away or to destruction), altering the root to mean breaking faith.
Prefixes modify the root's definition; here, it completely reverses the positive connotation of trust.
3
Analyze the suffix to determine the part of speech.
The suffix '-ious' forms an adjective meaning 'characterized by' or 'full of'.
Identifying the suffix ensures the selected synonym matches the target word's grammatical function.
4
Synthesize the morphological parts and select the matching synonym.
The word literally translates to 'characterized by breaking faith.' The option 'treacherous' perfectly matches this definition.
Combining the prefix, root, and suffix meanings reveals the exact definition needed to evaluate the choices.

Key Concept

Prefix and Suffix Analysis
Question 3625Question →

Which word best completes the sentence to describe equipment that is easily carried from one place to another?

Fill in the blanks below

Because the field mechanic frequently traveled to remote work sites, he relied on a generator that could be carried with ease.
Show answer & explanation

Answer

portable
The word 'portable' is derived from the Latin root 'port' (meaning 'to carry') and the suffix '-able' (meaning 'capable of being'). In this context, a 'portable' generator is one designed to be moved and carried easily.

Step-by-Step Solution

1
Analyze the sentence context to determine the required meaning
The context describes a machine that must be easy to carry and move between different job locations.
Understanding the context clarifies that the missing word must describe the quality of being transportable by hand.
2
Apply root word knowledge to identify the correct term
The Latin root 'port' means 'to carry,' and combining it with the suffix '-able' (capable of) forms the adjective 'portable.'
Root word analysis confirms that 'portable' literally means capable of being carried.

Key Concept

Root Word Analysis: Identifying word meanings using the Latin root 'port' (to carry)
Estimated Time:30s
Question 3626Question →

Aviation fuel storage systems are highly vulnerable to biological degradation when microscopic fungi thrive in stagnant water pockets at tank bottoms. These microorganisms consume hydrocarbons, multiplying rapidly and generating corrosive acidic byproducts. Over time, thick fungal mats can clog fuel filters, corrode internal aluminum lines, and cause erratic fuel gauge readings. Consequently, routinely draining accumulated water from tank sumps is the most effective operational method for preventing microbial contamination in aviation fuel systems.

According to the passage, which of the following expresses the main idea?

Show answer & explanation

Answer: Routinely draining water from tank sumps is the most effective method to prevent microbial fuel contamination.

Answer

Routinely draining water from tank sumps is the most effective method to prevent microbial fuel contamination.
The passage builds up by explaining how microbial growth occurs in stagnant water and the damage it causes, culminating in the explicit topic sentence in the final line: 'Consequently, routinely draining accumulated water from tank sumps is the most effective operational method for preventing microbial contamination in aviation fuel systems.' The correct option directly reflects this explicit claim.

Step-by-Step Solution

1
Read the passage to identify the central topic and scope.
The text discusses how water causes fungal growth in aviation fuel tanks and concludes with the primary preventive measure.
Understanding the full context helps separate background facts from the core takeaway.
2
Locate the explicit topic sentence that unifies the paragraph.
The concluding sentence explicitly states: 'Consequently, routinely draining accumulated water from tank sumps is the most effective operational method for preventing microbial contamination in aviation fuel systems.'
Expository technical paragraphs often place the explicit main idea in the final sentence as a synthesis or conclusion.
3
Match the explicit statement to the corresponding answer choice.
The option stating that routinely draining water from tank sumps is the most effective method directly paraphrases the explicit topic sentence.
The correct response must capture the main idea rather than isolated supporting details or unstated exaggerations.

Key Concept

Explicit Main Idea Identification
Estimated Time:1m 0s
Question 3627Question →

Read the sentences below, noting the contrast markers that signal opposing meanings. Match each sentence featuring an underlined target word to the definition that reflects its contextual meaning.

Click a left item, then click its matching right item

Items

Sentence 1: 'While the coastal radar array is entirely obsolete, the fleet's new sonar tracking system is cutting-edge.'
Sentence 2: 'The initial safety inspection was surprisingly perfunctory, whereas the follow-up compliance audit was exhaustive.'
Sentence 3: 'Unlike rigid cast iron that easily fractures under stress, the newly synthesized alloy is remarkably malleable.'
Sentence 4: 'The reconnaissance patrol remained strictly covert during the mission, in contrast to the overt convoy on the highway.'

Matches

Show answer & explanation

Answer

Sentence 1 matches 'Outdated and no longer in modern or active use'; Sentence 2 matches 'Superficial, routine, and performed with minimal care or effort'; Sentence 3 matches 'Pliable and capable of being shaped or bent without fracturing'; Sentence 4 matches 'Concealed, hidden, or operating in secret'.
Each sentence uses a distinct contrast indicator ('while', 'whereas', 'unlike', 'in contrast to') to set the underlined target word against an explicit opposing concept ('cutting-edge', 'exhaustive', 'rigid', 'overt'). By determining the exact antonym of each clue, each underlined term accurately aligns with its corresponding definition: 'obsolete' with outdated, 'perfunctory' with superficial, 'malleable' with pliable, and 'covert' with concealed.

Step-by-Step Solution

1
Identify the contrast signal words in each sentence.
Found contrast markers: 'While' (Sentence 1), 'whereas' (Sentence 2), 'Unlike' (Sentence 3), and 'in contrast to' (Sentence 4).
Contrast signal words indicate that the target word possesses a meaning directly opposing the contextual clue.
2
Locate the explicit antonym clue paired with each underlined word.
'cutting-edge' opposes 'obsolete'; 'exhaustive' opposes 'perfunctory'; 'rigid / fractures' opposes 'malleable'; 'overt' opposes 'covert'.
Isolating the known antonym provides the baseline to infer the reverse definition.
3
Derive the opposite definition for each target word and match to the definitions provided.
Matched 'obsolete' to outdated, 'perfunctory' to superficial, 'malleable' to pliable, and 'covert' to concealed.
Synthesizing the antonym meanings produces the correct contextual definitions.

Key Concept

Identifying contrast transitions and deriving unfamiliar vocabulary meanings through opposing antonym clues.
Estimated Time:1m 0s
Question 3628Question →

TRANQUIL most nearly means which of the following?

Show answer & explanation

Answer: peaceful

Answer

peaceful
The adjective 'tranquil' denotes a state of quiet serenity and freedom from disturbance, making 'peaceful' the exact synonym.

Step-by-Step Solution

1
Define the target vocabulary term
The adjective 'tranquil' means free from disturbance, commotion, or agitation; calm and serene.
Establishing the precise definition allows direct matching with the available choices.
2
Evaluate the answer choices to identify the equivalent meaning
The word 'peaceful' is an exact synonym denoting calmness and lack of disturbance.
Eliminating opposites, visual false friends, and words with mismatched connotations confirms the correct match.

Key Concept

Direct identification of isolated adjective synonyms
Estimated Time:30s
Question 3629Question →

A circular water pipe has a diameter of 88 inches. What is the cross-sectional area of the pipe? Use π=3.14\pi = 3.14.

Show answer & explanation

Answer: 50.24

Answer

50.24 square inches
The area of a circle is calculated using the formula A=πr2A = \pi r^2. First, find the radius by dividing the diameter by 2 (8÷2=48 \div 2 = 4). Then, substitute r=4r = 4 and π=3.14\pi = 3.14 into the formula: A=3.14×42=3.14×16=50.24A = 3.14 \times 4^2 = 3.14 \times 16 = 50.24.

Step-by-Step Solution

1
Find the radius of the pipe.
Radius = 4 inches
The formula for the area of a circle requires the radius, which is exactly half of the diameter.
2
Calculate the cross-sectional area using the area formula.
Area = 50.24 square inches
Squaring the radius (16) and multiplying by 3.14 gives the total area of the circle.

Key Concept

Calculating the area of a circle given its diameter.
Question 3630Question →

Words related to nonconformity and deviation from standard practices carry distinct emotional evaluations and tones. Which tonal profile correctly matches each vocabulary word?

Click a left item, then click its matching right item

Items

Visionary
Unorthodox
Erratic
Quixotic

Matches

Show answer & explanation

Answer

Visionary matches the admiring tone of inventive foresight; Unorthodox matches the neutral tone of departing from convention; Erratic matches the critical tone of unpredictable inconsistency; Quixotic matches the cautionary tone of impractical idealism.
Each word's connotation aligns with its historical usage and evaluative tone: Visionary is celebratory (inspiring foresight), Unorthodox is neutral (outside standard norms), Erratic is pejorative regarding stability (unreliable variation), and Quixotic is skeptical of practicality (unrealistic idealism).

Step-by-Step Solution

1
Analyze the emotional valence and evaluative nuance of Visionary.
Identified as strongly positive and admiring, highlighting creative foresight.
The word praises someone whose nonstandard ideas anticipate future success.
2
Examine the connotation of Unorthodox compared to other nonconforming terms.
Identified as neutral and descriptive.
It merely describes a method that falls outside accepted norms without inherently labeling it as good or bad.
3
Differentiate between the negative evaluations of Erratic and Quixotic.
Erratic conveys instability and inconsistency, whereas Quixotic conveys well-intentioned but foolish impracticality.
Erratic focuses on volatility, while Quixotic derives from Don Quixote and targets lofty, romantic delusion.

Key Concept

Connotation and Tone Differentiation
Estimated Time:1m 30s
Question 3631Question →

Unlike the previous technician whose sloppy assembly caused frequent hydraulic leaks, Specialist Barnes was remarkably meticulous during maintenance inspections. Which of the following is the closest in meaning to the underlined word meticulous as used in this context?

Show answer & explanation

Answer: Extremely careful and precise

Answer

Extremely careful and precise
The contrast preposition 'unlike' directly contrasts the previous technician's 'sloppy' assembly with Specialist Barnes's 'meticulous' inspections. Therefore, the target word means the opposite of sloppy, which is extremely careful and precise.

Step-by-Step Solution

1
Identify the contrast transition word and the contrasting clue word.
The preposition 'unlike' establishes an opposing relationship between the previous technician's 'sloppy assembly' and Specialist Barnes being 'meticulous.'
Contrast signal words establish an antonymous relationship between two descriptions.
2
Deduce the meaning of the target word by finding the antonym of the clue word.
The direct opposite of 'sloppy' is thorough, precise, and careful.
Because Specialist Barnes is unlike the sloppy technician, the target word must describe careful and accurate work.
3
Match the deduced meaning to the correct option.
'Extremely careful and precise' accurately defines the contextual meaning of the target word.
It directly reflects the diligence and precision required in maintenance inspections.

Key Concept

Using antonym context clues signaled by contrast words (such as 'unlike') to deduce the meaning of an unfamiliar vocabulary word.
Estimated Time:45s
Question 3632Question →

Read the sentence below and use the contrast clue to determine the missing term. Which word best completes the blank?

Fill in the blanks below

Although the initial radio transmission was muffled and completely inaudible, the backup broadcast came through crystal .
Show answer & explanation

Answer

clear (or audible / distinct)
The sentence begins with the transition word 'Although', establishing a direct contrast between the two clauses. The first transmission is described as 'inaudible' (meaning impossible to hear), so the backup broadcast must be described by its opposite. The word 'clear' accurately completes the contrast and fits the standard phrase 'crystal clear'.

Step-by-Step Solution

1
Locate the contrast signal word and the context clue.
The conjunction 'Although' signals an opposing relationship to the descriptive clue 'inaudible'.
Contrast transition words indicate that the two connected clauses describe opposite conditions.
2
Identify the antonym of the clue word that fits the sentence context.
The antonym of 'inaudible' (unable to be heard) in the context of a radio transmission is 'clear' or 'audible'.
Supplying an antonym completes the contrast established between the failed initial transmission and the successful backup broadcast.

Key Concept

Using contrast transition words to identify antonyms in context
Estimated Time:30s
Question 3633Question →

Read each sentence below. Match each bolded target word on the left with its correct contextual synonym on the right.

Click a left item, then click its matching right item

Items

To handle the sudden surge in seasonal shipping orders, the logistics supervisor decided to augment the warehouse staff by hiring ten temporary technicians.
Unlike his outspoken colleagues during the debriefing, Officer Davis remained reticent, speaking only when directly addressed.
While downstream waters suffered heavy industrial pollution, the remote mountain spring remained in pristine condition, completely untouched by human activity.
Dense fog and fallen branches threatened to impede the supply convoy's movement along the narrow mountain pass.

Matches

Show answer & explanation

Answer

The target words match as follows: 'augment' matches 'Increase or expand', 'reticent' matches 'Quiet or reserved', 'pristine' matches 'Unspoiled or immaculate', and 'impede' matches 'Hinder or obstruct'.
Each sentence contains explicit contextual mechanisms that define the bolded words: adding workers defines 'augment' as increasing; contrasting with outspoken defines 'reticent' as reserved; contrasting with pollution defines 'pristine' as unspoiled; and weather obstacles define 'impede' as hindering.

Step-by-Step Solution

1
Examine the context clues surrounding 'augment' in the first sentence.
The supervisor adds staff by hiring more workers to meet extra demand.
Cause-and-effect clues indicate enlarging the workforce, which aligns with 'Increase or expand'.
2
Examine the context clues surrounding 'reticent' in the second sentence.
The word 'Unlike' sets up a direct contrast with 'outspoken', reinforced by the fact that the officer spoke only when asked.
Antonym/contrast context clues confirm that 'reticent' means 'Quiet or reserved'.
3
Examine the context clues surrounding 'pristine' in the third sentence.
The spring is contrasted with 'polluted' waters and described as 'completely untouched'.
Contrast and elaboration clues confirm that 'pristine' means 'Unspoiled or immaculate'.
4
Examine the context clues surrounding 'impede' in the fourth sentence.
Severe weather and roadway debris create obstacles for moving vehicles.
Situational context clues establish that 'impede' means 'Hinder or obstruct'.

Key Concept

Using context clue mechanisms (contrast, cause-effect, restatement) to determine precise synonyms.
Question 3634Question →

Unlike the previous technician, whose reports were notoriously vague and confusing, the new specialist provided summaries that were remarkably lucid. Based on the contrast in the sentence, which of the following best defines the word lucid?

Show answer & explanation

Answer: Clear and easily understood

Answer

Clear and easily understood
The introductory word 'Unlike' establishes an explicit contrast between the previous technician's 'vague and confusing' reports and the new specialist's summaries. Therefore, 'lucid' must mean the opposite of vague and confusing, which is clear and easily understood.

Step-by-Step Solution

1
Identify the contrast marker and the clue words in the sentence.
The preposition 'Unlike' signals a direct contrast with the phrase 'notoriously vague and confusing'.
Contrast markers indicate that the target word expresses the opposite quality of the clue.
2
Find the opposite of the clue words to determine the meaning of the target word.
The opposite of 'vague and confusing' is 'clear and easily understood'.
Because the new specialist's summaries differed from the previous confusing reports, the target word must describe clear and intelligible writing.

Key Concept

Using contrast transition words to deduce word meaning from antonym context clues.
Estimated Time:45s
Question 3635Question →

Which word is closest in meaning to ARDUOUS?

Show answer & explanation

Answer: Demanding

Answer

Demanding
The word 'arduous' describes an undertaking or task that involves strenuous, grueling, and difficult labor. The word 'demanding' is the closest synonym because it describes something requiring significant exertion and effort.

Step-by-Step Solution

1
Define the target vocabulary word
The adjective 'arduous' means requiring severe effort, intense labor, or difficult exertion.
Understanding the definition of the isolated root word establishes the required semantic target.
2
Compare the definition against each candidate option
'Demanding' means requiring great skill, effort, or resources, providing a direct synonym for 'arduous'.
A precise synonym must align in part of speech, intensity, and core semantic meaning.

Key Concept

Isolated Word Synonyms
Estimated Time:30s
Question 3636Question →

Unlike the direct and streamlined flight path taken by the reconnaissance aircraft, the transport plane was assigned a circuitous heading across the northern mountain ridge to evade radar detection. As used in this context, what is the meaning of the underlined word circuitous?

Show answer & explanation

Answer: Roundabout and indirect

Answer

Roundabout and indirect
The introductory word 'Unlike' establishes an explicit contrast between the two flight paths. Because the reconnaissance path was 'direct and streamlined', the underlined word describing the alternate path must mean the opposite—namely, 'roundabout and indirect'.

Step-by-Step Solution

1
Identify the contrast marker and antonym context clue in the sentence.
The preposition 'Unlike' establishes an explicit contrast between the reconnaissance aircraft's flight path ('direct and streamlined') and the transport plane's heading.
Contrast markers signal that the target word possesses the opposite meaning of the paired descriptive clue.
2
Determine the opposite meaning of the clue phrase 'direct and streamlined'.
The opposite of a direct path is one that is winding, indirect, or roundabout.
Applying the antonym relationship yields the contextual definition of 'circuitous'.
3
Evaluate the answer choices to locate the definition matching 'indirect and winding'.
'Roundabout and indirect' precisely matches the deduced opposite meaning.
This confirms the intended vocabulary definition in a military aviation context.

Key Concept

Using contrast markers to determine word meaning through antonym clues
Estimated Time:45s
Question 3637Question →

Carefully analyze the three distinct informational passages below. Match each passage to the most accurate and comprehensive title that reflects its primary focus.

Click a left item, then click its matching right item

Items

When thick basaltic lava flows stagnate and begin to cool, the molten rock contracts uniformly in all directions. As thermal tension builds across the surface, microscopic stress fractures propagate downward into the cooling mass. Because physical forces seek the most energy-efficient release of tensile stress, these cracks naturally intersect at 120-degree angles. This geometric process yields regular arrays of vertical hexagonal pillars, known to geologists as columnar jointing, visible in iconic formations like the Giant's Causeway.
For centuries, maritime navigation was crippled by the inability of sailors to determine their precise east-west position at sea. While latitude could be calculated using celestial angles, determining longitude required keeping accurate time across turbulent voyages. Traditional pendulum clocks inevitably lost accuracy on rolling ships. In the mid-eighteenth century, English clockmaker John Harrison solved this navigational crisis by inventing the marine chronometer, a spring-driven, temperature-compensated timepiece that allowed navigators to reliably calculate longitude worldwide.
The bullhorn acacia tree possesses an extraordinary evolutionary partnership with stinging pseudomyrmex ants. The acacia provides specialized housing within swollen, hollow thorns and produces nutrient-rich nectar and protein droplets at the tips of its leaflets. In return for food and shelter, the aggressive ant colony patrols the plant day and night, vigorously attacking grazing herbivores and severing competing vines that threaten to overshadow the host tree. This cooperative relationship ensures the survival and growth of both species.

Matches

Show answer & explanation

Answer

Match the basalt cooling passage with 'Thermal Contraction in the Formation of Columnar Basalt', the maritime navigation passage with 'The Marine Chronometer and the Conquest of Longitude', and the acacia-ant symbiotic passage with 'Mutualistic Defense Systems of the Bullhorn Acacia'.
Each passage is paired with the title that encompasses its core message: the first text explains the physics of columnar lava formations, the second highlights the development of the marine chronometer to determine longitude, and the third describes the mutualistic relationship between the bullhorn acacia and protective ants.

Step-by-Step Solution

1
Determine the central idea and unifying theme of each passage individually.
Passage 1 focuses on physical stress and geometric cooling in lava; Passage 2 focuses on solving navigation through Harrison's timekeeping invention; Passage 3 focuses on reciprocal biological defense between trees and ants.
Identifying the overarching concept prevents confusing supporting details or background context with the true subject.
2
Evaluate the proposed titles against the scope and boundaries of each text.
Each title precisely captures the main subject without being too broad or too narrow.
An effective title encapsulates the entire passage rather than single isolated facts.
3
Pair each excerpt with its unique matching title.
All three passages are paired with their corresponding conceptual summaries.
Ensures full discrimination across all three items without ambiguity.

Key Concept

Selecting the best title requires synthesizing the complete central theme of a text and choosing a heading that accurately reflects its specific scope without overgeneralizing or focusing solely on minor supporting details.
Estimated Time:1m 30s
Question 3638Question →

A contractor is applying a specialized primer to a rectangular warehouse wall that is 60 feet60\text{ feet} long and 18 feet18\text{ feet} high. The wall contains a rectangular loading bay door measuring 30 feet30\text{ feet} long and 12 feet12\text{ feet} high, which will not receive the primer. If the primer material costs $15\$15 per square yard, what is the total cost, in dollars, of the primer needed for the wall?

Show answer & explanation

Answer: 1200

Answer

1200
The total gross area of the wall is 60×18=1080 square feet60 \times 18 = 1080\text{ square feet}. The area of the unpainted loading door is 30×12=360 square feet30 \times 12 = 360\text{ square feet}. Subtracting the door's area yields a net area of 720 square feet720\text{ square feet} to be primed. Because 1 square yard1\text{ square yard} equals 9 square feet9\text{ square feet}, the net area in square yards is 720÷9=80 square yards720 \div 9 = 80\text{ square yards}. Finally, multiplying the 80 square yards80\text{ square yards} by the $15\$15 cost per square yard gives a total cost of $1200\$1200.

Step-by-Step Solution

1
Calculate the gross area of the warehouse wall.
1080 sq ft1080\text{ sq ft}
Multiply the length (60 feet60\text{ feet}) by the height (18 feet18\text{ feet}) to find the total rectangular area before accounting for the door.
2
Calculate the area of the loading bay door.
360 sq ft360\text{ sq ft}
Multiply the door's length (30 feet30\text{ feet}) by its height (12 feet12\text{ feet}) to determine the area that will not be painted.
3
Find the net area to be primed.
720 sq ft720\text{ sq ft}
Subtract the area of the door from the gross wall area (1080−3601080 - 360) to find the exact surface area requiring primer.
4
Convert the net square footage into square yards.
80 sq yd80\text{ sq yd}
Since the cost is given per square yard, and there are 9 square feet9\text{ square feet} in 1 square yard1\text{ square yard} (3 ft×3 ft3\text{ ft} \times 3\text{ ft}), divide the net area by 9 (720÷9720 \div 9).
5
Calculate the total cost of the primer.
$1200\$1200
Multiply the required area in square yards (8080) by the cost per square yard ($15\$15).

Key Concept

Calculating net rectangular area via subtractive cutouts and applying square unit conversions.
Question 3639Question →

Morphological analysis involves breaking words down into prefixes, roots, and suffixes to deduce their exact definitions. Match each vocabulary word on the left with its precise synonym or definition on the right based on its affix structure.

Click a left item, then click its matching right item

Items

Circumnavigate
Malefactor
Posthumous
Equivocal

Matches

Show answer & explanation

Answer

Circumnavigate matches with 'To travel or sail completely around an area'; Malefactor matches with 'An individual who commits a harmful or illegal deed'; Posthumous matches with 'Occurring or awarded after an individual's death'; Equivocal matches with 'Open to multiple interpretations; ambiguous'.
Each match corresponds strictly to its constituent morphemes: 'circum-' indicates movement around ('Circumnavigate'), 'male-' indicates bad actions committed by an agent ('Malefactor'), 'post-' denotes occurrences after a lifetime ('Posthumous'), and 'equi-' indicates balancing multiple meanings equally without committing to one ('Equivocal').

Step-by-Step Solution

1
Isolate prefixes, root words, and suffixes for each term on the left.
Identified affixes: circum- (around) + navig- + -ate; male- (ill/bad) + fact- + -or; post- (after) + hum- + -ous; equi- (equal) + voc- + -al.
Deconstructing words into morphemes allows accurate deduction of core meanings.
2
Synthesize the affix definitions to establish grammatical role and semantic meaning.
Circumnavigate = verb for sailing/going around; Malefactor = noun for a person doing bad deeds; Posthumous = adjective describing something after death; Equivocal = adjective describing equal-sounding/vague expressions.
Combining morphemic elements clarifies part of speech and specific definitions.
3
Align each derived definition with the corresponding entry on the right.
All four target vocabulary terms pair unambiguously with their exact definitions.
Direct one-to-one matching confirms all structural clues are accounted for without contradiction.

Key Concept

Prefix and Suffix Analysis
Estimated Time:1m 0s
Question 3640Question →

Identify an accurate single-word synonym for the isolated vocabulary word to complete the statement.

Fill in the blanks below

A precise direct synonym for the target adjective SURREPTITIOUS is .
Show answer & explanation

Answer

Stealthy (or clandestine, furtive, covert, secretive)
The word 'surreptitious' characterizes an action conducted with stealth, concealment, or secrecy. Synonyms such as 'stealthy', 'clandestine', 'furtive', 'covert', and 'secretive' accurately capture this meaning in the same grammatical form.

Step-by-Step Solution

1
Analyze the etymology and semantic meaning of the target term.
The adjective 'surreptitious' originates from the Latin 'surripere' (to seize or snatch secretly) and denotes actions obtained, done, or characterized by stealth, secrecy, or illicit concealment.
Determines the precise denotative meaning of the isolated term without relying on contextual sentence clues.
2
Identify direct grammatical and semantic equivalents matching the adjective form.
Terms such as 'stealthy', 'clandestine', 'furtive', and 'covert' share the exact same part of speech and denote hidden, secretive behavior.
Matches the isolated target term with an authentic synonym of equal precision.

Key Concept

Direct semantic pairing of advanced isolated adjectives
Estimated Time:45s
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