Tüm alıştırma soruları

Soru 2661Soru →

Fill in the blank with the appropriate word derived from the common prefix meaning 'against' or 'opposite'. Which term correctly completes the sentence?

Aşağıdaki boşlukları doldurun

Working late into the night without sufficient sleep proved to be , as it actually reduced the team's overall productivity.

Cevabı ve açıklamayı göster

Cevap

counterproductive

The word 'counterproductive' correctly completes the sentence. The prefix 'counter-' originates from Latin (contra) meaning 'against' or 'opposite.' When affixed to 'productive,' it precisely describes an action that hinders rather than helps progress, matching the contextual clue that the action 'actually reduced' overall productivity.

Adım Adım Çözüm

1

Analyze the context of the sentence

The sentence describes an action intended to increase output that instead resulted in the opposite outcome (reduced productivity).

Contextual clues indicate an oppositional or self-defeating result rather than simple inactivity.

2

Apply the appropriate prefix meaning 'against' or 'opposite' to the base word 'productive'

Combining the prefix 'counter-' with 'productive' yields 'counterproductive'.

The prefix 'counter-' specifically denotes opposition, contrary direction, or producing the reverse of the desired effect.

Anahtar Kavram

Common Prefixes: counter- (meaning against, opposite, or contrary)

Tahmini Süre:1m 0s

Soru 2662Soru →

Analyze the structural morphology and grammatical role of each suffixed word. Match each word on the left with the description that accurately identifies its resulting part of speech and suffix function on the right.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

Defensive matches the description for an adjective expressing a tendency to act via '-ive'; Serenity matches the noun denoting a state or quality via '-ity'; Botanical matches the adjective meaning pertaining to a subject via '-al'; and Dominance matches the noun expressing an ongoing state of action or influence via '-ance'.

Each derivative word correctly pairs with its morphological description: '-ive' forms adjectives expressing disposition or function (defensive), '-ity' forms abstract nouns signifying a state or quality (serenity), '-al' forms adjectives expressing relation to a topic (botanical), and '-ance' forms nouns designating an active state or condition (dominance).

Adım Adım Çözüm

1

Isolate the base root and suffix for each term.

Identify 'defend' + '-ive', 'serene' + '-ity', 'botany' + '-al', and 'dominate' + '-ance'.

Deconstructing words into morphemes determines which suffix was applied to alter syntactic function.

2

Determine the resulting grammatical category (part of speech) for each derivative.

'Defensive' and 'botanical' are adjectives; 'serenity' and 'dominance' are nouns.

Suffixes categorize whether the derived word functions as a modifier (adjective) or an entity/state (noun).

3

Pair each word with its corresponding morphological definition based on suffix semantic function.

Match each noun and adjective to its exact semantic derivation.

Aligning suffix meanings distinguishes between abstract qualities ('-ity'), active states ('-ance'), relationships ('-al'), and functional tendencies ('-ive').

Anahtar Kavram

Morphological analysis of derivational noun suffixes (-ity, -ance) and adjective suffixes (-ive, -al) to determine syntactic category and functional meaning.

Tahmini Süre:1m 0s

Soru 2663Soru →

The new recruit was surprisingly credulous when listening to tall tales around the barracks. What does the word credulous most nearly mean?

skeptical

believable

gullible

dishonest

Cevabı ve açıklamayı göster

Cevap: gullible

Cevap

gullible

The word 'credulous' is derived from the Latin root 'cred' (meaning 'to believe') combined with the suffix '-ulous' (meaning 'tending toward'). Therefore, a credulous individual tends to believe statements too easily without demanding proof, which precisely defines 'gullible'.

Adım Adım Çözüm

1

Analyze the Latin root and suffix of the target word

The word 'credulous' contains the root 'cred' (to believe or trust) and the suffix '-ulous' (tending to or inclined toward).

Identifying morphological components reveals the core meaning of the term.

2

Synthesize the morphological breakdown with the sentence context

A person who is 'credulous' is disposed to believe statements without requiring evidence or critical examination.

Applying the root definition to context establishes that accepting tall tales readily indicates being easily fooled.

3

Evaluate the answer choices to identify the exact synonym

'Gullible' matches the meaning of being easily duped or overly trusting.

Distractors representing antonyms, phonetically similar words, or unrelated negative traits must be eliminated.

Anahtar Kavram

Root Word Analysis using Latin root 'cred' (to believe)

Tahmini Süre:45s

Soru 2664Soru →

The laboratory assistant added a chemical agent to solidify the liquid mixture. In this sentence, the word solidify most nearly means which of the following?

make thin or fluid

make firm or hard

the condition of being solid

dissolve completely into liquid

Cevabı ve açıklamayı göster

Cevap: make firm or hard

Cevap

make firm or hard

The word 'solidify' is formed from the base word 'solid' and the productive verb suffix '-ify', which denotes causing something to become a certain state. Therefore, in the context of treating a liquid mixture, 'solidify' means to make it firm or hard.

Adım Adım Çözüm

1

Break down the target word into its base root and suffix.

The word 'solidify' combines the root 'solid' (meaning firm, compact, or hard) with the verb suffix '-ify'.

Identifying word structure components reveals the core meaning and grammatical function.

2

Determine the function of the suffix and synthesize the complete definition.

The suffix '-ify' means 'to make or cause to become', yielding the meaning 'to make solid, firm, or hard'.

Applying the morphological rule directly yields the correct contextual definition.

Anahtar Kavram

The verb suffix '-ify' attaches to base words to form verbs meaning 'to make, form into, or cause to become.'

Tahmini Süre:45s

Soru 2665Soru →

During the post-exercise debrief, the operations analyst highlighted the salient points of the mission, emphasizing the most prominent and noticeable indicators that contributed to overall success.

Which of the following is the closest synonym for the word salient as used in the sentence?

silent

prominent

insignificant

secretive

Cevabı ve açıklamayı göster

Cevap: prominent

Cevap

The correct synonym for 'salient' is 'prominent'.

The word 'prominent' is correct because the sentence uses an explicit clarifying restatement ('emphasizing the most prominent and noticeable indicators') to define the meaning of 'salient'.

Adım Adım Çözüm

1

Locate the target word in the sentence and scan for restatement or synonym clues.

The target word 'salient' is directly clarified by the adjacent phrase 'emphasizing the most prominent and noticeable indicators'.

Writers frequently use clarifying clauses or paired adjectives to explain specialized or advanced vocabulary.

2

Compare the meaning of the context clue with the available options.

'Prominent' accurately matches the idea of being conspicuous, noticeable, and important.

Matching the explicit clue directly to the synonym confirms the intended contextual definition.

Anahtar Kavram

Identifying synonyms using clarifying restatements and context clues.

Tahmini Süre:45s

Soru 2666Soru →

Read the three technical field maintenance excerpts below regarding tactical engine systems. Match each passage to its explicitly stated main idea.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

Passage 1 matches the statement regarding centrifugal oil spinners removing microscopic soot; Passage 2 matches the statement regarding glow plugs preheating combustion chambers in sub-zero conditions; Passage 3 matches the statement regarding positive crankcase ventilation systems rerouting blow-by gases to prevent seal failure.

Each passage features an explicit topic sentence at the very beginning that clearly defines the component's core operational purpose. The correct pairings directly align each passage's primary claim with its matching summary without drifting into narrow supporting details.

Adım Adım Çözüm

1

Locate the explicit topic sentence in Passage 1.

The lead sentence states: 'Centrifugal oil spinners are essential for removing microscopic soot particles that bypass standard pleated filters in heavy diesel engines.'

Explicit main ideas in technical expository paragraphs are stated directly in topic sentences that define the primary mechanism and purpose of the passage.

2

Locate the explicit topic sentence in Passage 2.

The lead sentence states: 'Tactical vehicles operating in sub-zero environments rely on glow plugs to heat the engine combustion chambers prior to cranking.'

The entire paragraph elaborates on cold-weather ignition challenges, confirming the lead sentence as the overarching explicit claim.

3

Locate the explicit topic sentence in Passage 3.

The lead sentence states: 'Positive crankcase ventilation systems prevent dangerous internal pressure buildup and seal blowouts by continuously routing blow-by gases back into the engine intake manifold.'

The subsequent details explain why blow-by occurs and what happens without venting, supporting the primary thesis in the first sentence.

Anahtar Kavram

Identifying explicitly stated topic sentences that encapsulate the overall purpose and mechanics of technical expository paragraphs.

Tahmini Süre:1m 30s

Soru 2667Soru →

Read the passage below:

Commercial kitchens rely on wet chemical extinguishing systems to manage high-temperature grease fires. When cooking oil overheats and catches fire, the system discharges an alkaline chemical solution over the appliances. Contact between the alkaline agent and hot fatty acids triggers saponification, producing a thick, soapy foam across the surface. This crust blocks atmospheric oxygen and seals in combustible vapors to extinguish the flames. At the same time, water in the solution evaporates, absorbing thermal energy and cooling the oil below its reflash threshold.

Match each passage claim on the left with its accurate paraphrased restatement on the right.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

The statement regarding discharging an alkaline solution matches the paraphrase describing spraying a base liquid over cooking equipment; the claim regarding saponification creating foam to block oxygen matches the paraphrase describing a dense lather depriving the fire of air; and the claim regarding water evaporating to absorb heat matches the paraphrase describing moisture turning to vapor to dissipate heat.

Each statement from the text is paired with its precise semantic equivalent using synonyms and syntactic restructuring without changing the factual relationships described in the passage.

Adım Adım Çözüm

1

Analyze the first passage statement about discharging an alkaline chemical solution over the appliances.

Identify corresponding synonyms: 'alkaline chemical solution' equates to 'base liquid', 'discharges' equates to 'sprayed', and 'appliances' equates to 'cooking equipment'.

Paraphrased fact retrieval requires mapping core semantic components to their synonymous restatements.

2

Analyze the second passage statement about saponification producing a thick foam that blocks oxygen.

Identify corresponding synonyms: 'saponification' is a 'chemical reaction', 'thick, soapy foam' equates to 'dense lather', and 'blocks atmospheric oxygen' equates to 'deprives the fire of air'.

Matching structural descriptions to functional definitions confirms accurate factual understanding.

3

Analyze the third passage statement about water evaporation absorbing thermal energy and cooling the oil.

Identify corresponding synonyms: 'water' equates to 'moisture', 'evaporates' equates to 'turns to vapor', and 'absorbing thermal energy and cooling' equates to 'dissipating heat to prevent re-ignition'.

Connecting thermal mechanism details to their paraphrased consequences verifies comprehension without relying on verbatim wording.

Anahtar Kavram

Paraphrased Fact Recognition

Tahmini Süre:45s

Soru 2668Soru →

During the Arctic deployment, the surveillance outpost's backup generator remained dormant—staying inactive and idle until the primary power grid failed. In the sentence above, which word is the closest synonym for dormant?

dominant

inactive

operational

defective

Cevabı ve açıklamayı göster

Cevap: inactive

Cevap

The word 'inactive' is the closest synonym for 'dormant' in this context.

The sentence utilizes a dash to set off an explicit restatement clue ('staying inactive and idle'), which directly defines 'dormant' as being in a temporarily inactive or quiescent state.

Adım Adım Çözüm

1

Identify the target word and the surrounding structural punctuation in the sentence

The target word is 'dormant', which is immediately followed by an explanatory dash.

Dashes in context sentences frequently introduce a direct definition, appositive, or restatement clue.

2

Examine the restatement phrase following the dash

The phrase 'staying inactive and idle' explicitly describes the operational condition of the generator.

Contextual synonym clues supply direct definitions to clarify the meaning of the target term.

3

Match the meaning deduced from the clue to the available options

'Inactive' is an exact synonym for 'idle' and captures the intended meaning of 'dormant'.

Aligning the definition directly with the restatement confirms the correct option.

Anahtar Kavram

Identifying synonyms through explicit dash restatement and coordinated clue pairs in context

Tahmini Süre:45s

Soru 2669Soru →

The team located a vast subterranean cavern during the geological survey. What does the word subterranean most nearly mean?

Existing or situated beneath the earth's surface

Located high above the ground in the open air

Spanning across several bordering territories

Causing extreme terror or severe panic

Cevabı ve açıklamayı göster

Cevap: Existing or situated beneath the earth's surface

Cevap

Existing or situated beneath the earth's surface

The word 'subterranean' is formed by combining the prefix 'sub-' (meaning under or below) with the Latin root 'terra' (meaning earth or ground). Therefore, 'subterranean' describes something existing or situated beneath the surface of the earth.

Adım Adım Çözüm

1

Isolate and identify the prefix of the target word.

The word begins with the directional prefix 'sub-', which denotes 'under,' 'below,' or 'beneath.'

Prefixes establish critical spatial and relational orientation in morphological word analysis.

2

Analyze the remaining root and suffix elements.

The root 'terra' means 'earth' or 'land,' and the adjectival suffix '-an' indicates belonging to or characteristic of.

Combining root and affix definitions allows for precise structural deduction.

3

Synthesize the morphological components to select the definition.

'Sub-' (under) + 'terra' (earth) + '-an' (pertaining to) = situated under the earth.

Matching the synthesized meaning to the choices confirms the correct definition without ambiguity.

Anahtar Kavram

Directional prefix analysis ('sub-' = under/below)

Tahmini Süre:45s

Soru 2670Soru →

A city is installing a new fence around a rectangular dog park. The park has a length of $80$ feet and a width of $60$ feet. How many feet of fencing are required to completely enclose the park?

Cevabı ve açıklamayı göster

Cevap: 280

Cevap

280

The fencing must cover the entire outer edge of the rectangular park. The perimeter is found by adding the length and width together, then multiplying the sum by 2 to account for all four sides. Thus, 2 × (80 + 60) = 280 feet.

Adım Adım Çözüm

1

Identify the given dimensions of the rectangular park.

Length = 80 feet, Width = 60 feet.

To determine the values needed for the perimeter formula.

2

Apply the formula for the perimeter of a rectangle.

Perimeter = 2 × (80 + 60)

The total fencing required is equal to the perimeter of the rectangle.

3

Perform the addition inside the parentheses.

80 + 60 = 140

Following the order of operations.

4

Multiply the sum by 2.

2 × 140 = 280

To account for all four sides of the rectangular boundary.

Anahtar Kavram

The perimeter of a rectangle is the total distance around the outside edge, calculated using the formula 2 × (Length + Width).

Soru 2671Soru →

In pneumatic maintenance facilities, compressed air lines must be equipped with moisture separators and desiccant filters before reaching air-powered tools. As ambient air is compressed, water vapor condenses into liquid droplets due to changes in pressure and temperature. If this accumulated moisture enters pneumatic tools, it washes away internal lubricating oils, leading to rapid component wear, corrosion, and premature tool failure. By removing condensed water at designated drop points along the distribution line, technicians ensure consistent tool performance and extend the operational lifespan of pneumatic equipment.

Which of the following best describes the author's primary purpose in the passage?

to describe how temperature and pressure changes condense ambient water vapor

to explain why moisture must be removed from compressed air systems

to criticize technicians for neglecting regular pneumatic tool maintenance

to provide step-by-step instructions for installing desiccant air filters

Cevabı ve açıklamayı göster

Cevap: to explain why moisture must be removed from compressed air systems

Cevap

To explain why moisture must be removed from compressed air systems

The primary purpose of the passage is to explain why removing moisture from compressed air distribution lines is necessary to protect tools from corrosion and wear, thereby ensuring long-term equipment reliability.

Adım Adım Çözüm

1

Analyze the passage structure and main focus

The text explains how water forms in compressed air, the damaging effects of that water on tools, and the benefit of removing it.

Determining what the entire passage discusses reveals the underlying goal of the author.

2

Distinguish between supporting details and the overarching objective

Mentions of condensation physics and filter types serve to support the central explanation of why moisture removal is required.

The primary purpose must encompass the whole passage rather than isolated facts.

3

Identify the statement that captures this main purpose

The statement expressing the explanation for removing moisture from compressed air systems accurately reflects the author's primary communicative goal.

The author's intent is to inform readers about the necessity and rationale behind keeping pneumatic lines dry.

Anahtar Kavram

Author's Primary Purpose

Tahmini Süre:45s

Soru 2672Soru →

A carpenter is sorting four wooden dowels of different diameters. Order the dowel diameters from thinnest to thickest.

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct order from thinnest to thickest is

\frac{5}{8}

inch,

\frac{3}{4}

inch,

1 \frac{1}{4}

inches, and

\frac{3}{2}

inches.

By converting all fractions and mixed numbers to have a common denominator of

8

, we get

\frac{6}{8}

,

\frac{5}{8}

,

\frac{12}{8}

, and

\frac{10}{8}

. Ordering these by numerator from least to greatest gives

\frac{5}{8}

,

\frac{6}{8}

,

\frac{10}{8}

,

\frac{12}{8}

, which corresponds to the original values

\frac{5}{8}

,

\frac{3}{4}

,

1 \frac{1}{4}

,

\frac{3}{2}

.

Adım Adım Çözüm

1

Identify a common denominator to compare all fractions easily.

The denominators are

4

,

8

,

2

, and

4

. The least common multiple for these is

8

.

Fractions must have the same denominator to compare their sizes accurately.

2

Convert each measurement to an equivalent fraction with a denominator of

8

.

\frac{3}{4} = \frac{6}{8}

,

\frac{5}{8} = \frac{5}{8}

,

\frac{3}{2} = \frac{12}{8}

, and

1 \frac{1}{4} = \frac{5}{4} = \frac{10}{8}

.

This allows for direct comparison of the numerators.

3

Order the converted fractions by comparing their numerators from smallest to largest.

Comparing the numerators (

5 < 6 < 10 < 12

), the order is

\frac{5}{8}

,

\frac{6}{8}

,

\frac{10}{8}

,

\frac{12}{8}

.

When denominators are equal, the fraction with the smaller numerator represents a smaller value.

4

Match the ordered fractions back to their original given forms.

The final order is

\frac{5}{8}

inch,

\frac{3}{4}

inch,

1 \frac{1}{4}

inches, and

\frac{3}{2}

inches.

The question asks to order the original measurements.

Anahtar Kavram

Comparing and Ordering Fractions

Alternatif Yöntem

Convert all fractions to decimals to compare them:

\frac{3}{4} = 0.75

,

\frac{5}{8} = 0.625

,

\frac{3}{2} = 1.5

, and

1 \frac{1}{4} = 1.25

. Then order the decimals:

0.625, 0.75, 1.25, 1.5

.

Tahmini Süre:45s

Soru 2673Soru →

Based on the tone and context clues in the sentence below, what word best fills in the blank to convey the inspector's uncompromising stance?

Aşağıdaki boşlukları doldurun

Although the contractor attempted to dismiss the structural cracks as minor cosmetic flaws, the lead building inspector remained , refusing to sign off on the occupancy permit until a full structural overhaul was completed.

Cevabı ve açıklamayı göster

Cevap

adamant (or synonyms such as resolute, unyielding, or inflexible)

The word 'adamant' (along with synonyms like 'resolute' or 'unyielding') accurately reflects the inspector's steadfast refusal to compromise on building safety despite the contractor's downplaying of the flaws.

Adım Adım Çözüm

1

Analyze the tonal contrast established in the sentence.

The conjunction 'Although' contrasts the contractor's dismissive stance with the inspector's opposing reaction.

Determining the direction of the contrast clarifies the inspector's required mindset.

2

Examine the actions described to infer the specific attitude.

The inspector's refusal to issue permits until a comprehensive overhaul is completed indicates an unbending, firm position on safety standards.

Concrete actions provide evidence for inferring the character's demeanor.

3

Determine a precise vocabulary word that fits the context and part of speech.

The predicate adjective 'adamant' (or 'resolute' / 'unyielding') captures this steadfast and unwavering posture.

The inferred meaning requires a word signifying determined resistance to persuasion.

Anahtar Kavram

Inferring character attitude and vocabulary meaning from contrasting tone and behavioral context clues.

Tahmini Süre:45s

Soru 2674Soru →

If $x$ and $y$ are both negative integers, the value of $x - y$ must also be a negative integer.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: False

Cevap

False

The statement is false. When evaluating

x - y

with negative integers, the operation simplifies to adding a positive number. If the magnitude of

y

is larger than the magnitude of

x

, the result is positive. For instance, if

x = -1

and

y = -5

, then

-1 - (-5) = 4

.

Adım Adım Çözüm

1

Analyze the expression

x - y

given that both variables represent negative integers.

Since

y

is negative, subtracting

y

is identical to adding the absolute value of

y

. The expression becomes

x + |y|

.

Understanding how double negatives simplify is essential for evaluating integer properties.

2

Test the statement using a counterexample where

y

is further left on the number line than

x

.

Assume

x = -3

and

y = -10

. Substitute these integers into the original expression:

-3 - (-10)

.

A universally phrased statement containing the word 'must' can be entirely disproven with just a single counterexample.

3

Evaluate the chosen counterexample.

-3 - (-10) = -3 + 10 = 7

. Because

7

is a positive integer, the expression does not always yield a negative result.

The positive outcome proves the initial statement is definitively false.

Anahtar Kavram

Integer Subtraction and Sign Rules

Tahmini Süre:35s

Soru 2675Soru →

If $5m + 12 = 2m + 27$ , what is the value of $m$ ?

Cevabı ve açıklamayı göster

Cevap: 5

Cevap

The correct value of the variable is 5.

By using inverse operations to collect the variable terms on one side and the constant terms on the other, the equation simplifies to

3m = 15

, which directly yields a result of

5

.

Adım Adım Çözüm

1

Move all terms containing the variable to one side of the equation.

3m + 12 = 27

Subtracting

2m

from both sides eliminates the variable from the right side and groups it on the left.

2

Move all constant terms to the opposite side of the equation.

3m = 15

Subtracting

12

from both sides isolates the term containing the variable.

3

Solve for the variable.

m = 5

Dividing both sides by the coefficient

3

provides the final value of

m

.

Anahtar Kavram

Solving Linear Equations with Variables on Both Sides

Tahmini Süre:45s

Soru 2676Soru →

Which of the following represents the simplified form of the expression $4b^5 \cdot 2b^{-2}$ ?

8b^{-10}

6b^3

8b^3

8b^7

Cevabı ve açıklamayı göster

Cevap: $8b^3$

Cevap

The simplified expression is

8b^3

.

The correct expression is found by multiplying the numerical coefficients (

4 \times 2 = 8

) and adding the exponents for the common base

b

(

5 + (-2) = 3

), resulting in

8b^3

.

Adım Adım Çözüm

1

Multiply the numerical coefficients.

4 \times 2 = 8

When multiplying algebraic terms, their numerical coefficients are multiplied together.

2

Apply the product rule of exponents to the variable terms.

b^5 \cdot b^{-2} = b^{5 + (-2)} = b^3

When multiplying exponential expressions with the same base, add their exponents.

3

Combine the coefficient and the variable term.

8b^3

This is the final simplified form of the expression.

Anahtar Kavram

When multiplying two exponential terms with the same base, multiply their coefficients and add their exponents.

Soru 2677Soru →

A high-efficiency water filter is designed to block microscopic particles that are $0.00072$ meters in diameter. How is this measurement expressed in scientific notation?

7.2 \times 10^{-3}

7.2 \times 10^{-4}

7.2 \times 10^4

72 \times 10^{-5}

Cevabı ve açıklamayı göster

Cevap: $7.2 \times 10^{-4}$

Cevap

The correct measurement in scientific notation is

7.2 \times 10^{-4}

.

To convert

0.00072

to scientific notation, the decimal point must be moved

4

places to the right to create a valid coefficient of

7.2

. Because the original number is less than

1

, the exponent is negative, resulting in

7.2 \times 10^{-4}

.

Adım Adım Çözüm

1

Identify the non-zero digits to create a coefficient that is greater than or equal to

1

and less than

10

.

The coefficient is

7.2

.

Scientific notation requires a single non-zero digit to the left of the decimal point.

2

Count the number of places the decimal point must move to change the original number (

0.00072

) into the coefficient (

7.2

).

The decimal point moves

4

places to the right.

The number of places moved determines the numerical value of the exponent.

3

Determine the sign of the exponent based on the original number's size.

The exponent is

-4

.

Because the original number (

0.00072

) is a decimal less than

1

, the exponent must be negative.

Anahtar Kavram

Converting small decimal numbers into scientific notation using negative exponents.

Soru 2678Soru →

A painter has $\frac{3}{4}$ of a gallon of blue paint. If they use exactly $\frac{1}{3}$ of this paint to complete a small project, how many gallons of paint did they use? (Express your answer as a decimal.)

Cevabı ve açıklamayı göster

Cevap: 0.25

Cevap

0.25

To find

\frac{1}{3}

of

\frac{3}{4}

, you must multiply the two fractions together. Calculating

\frac{3}{4} \times \frac{1}{3}

results in

\frac{3}{12}

. Simplifying by dividing the numerator and denominator by 3 gives

\frac{1}{4}

. Finally, converting

\frac{1}{4}

to a decimal yields 0.25.

Adım Adım Çözüm

1

Identify the mathematical operation

Multiplication:

\frac{3}{4} \times \frac{1}{3}

The phrase '

\frac{1}{3}

of this paint' indicates finding a part of a part, which requires multiplication.

2

Multiply the fractions

\frac{3}{12}

Multiply the numerators together (

3 \times 1 = 3

) and the denominators together (

4 \times 3 = 12

).

3

Simplify the resulting fraction

\frac{1}{4}

Both

3

and

12

share a greatest common factor of

3

. Dividing both by

3

simplifies the fraction.

4

Convert the simplified fraction to a decimal

0.25

The question specifically requests the final answer to be expressed as a decimal.

Anahtar Kavram

Fraction multiplication and decimal conversion

Soru 2679Soru →

Which of the following infectious diseases is caused by a bacterium?

Measles

Rabies

Strep throat

Common cold

Cevabı ve açıklamayı göster

Cevap: Strep throat

Cevap

Strep throat is caused by a bacterium.

Strep throat is caused by the bacterium Streptococcus pyogenes, making it the only bacterial infection among the choices.

Adım Adım Çözüm

1

Determine the pathogen class responsible for each given condition.

Strep throat is caused by Group A Streptococcus (a bacterium), whereas measles, rabies, and the common cold are all caused by viral pathogens.

Correctly classifying pathogens requires distinguishing cellular bacterial agents from acellular viral agents.

Anahtar Kavram

Distinction between bacterial and viral pathogens

Tahmini Süre:30s

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Passive immunity, such as that acquired by an infant through maternal antibodies in breast milk, stimulates the recipient's immune system to produce long-term memory B cells.

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Cevap: False

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False

The statement is false because passive immunity involves the transfer of pre-formed antibodies from an outside source rather than an active immune response by the recipient. As a result, the recipient's immune system does not generate memory B cells, and the resulting protection lasts only as long as the transferred antibodies survive in circulation.

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1

Identify the biological mechanism and category of immunity described in the statement.

Maternal antibody transfer via the placenta or breast milk represents naturally acquired passive immunity.

Classifying the specific type of immunity establishes whether the host's own immune system is actively engaged.

2

Analyze whether passive immunity stimulates the host to generate immunological memory.

Passive immunity introduces pre-synthesized antibodies that neutralize pathogens but degrade over time without activating B-cell proliferation into memory cells.

Immunological memory requires active antigen presentation and clonal expansion, which only occurs in active immunity.

3

Evaluate the veracity of the stem statement against immunological principles.

The claim that passive immunity produces long-term memory B cells is scientifically inaccurate.

Because passive immunity confers only transient protection without establishing immunological memory, the statement is false.

Anahtar Kavram

Distinction Between Active and Passive Immunity

Tahmini Süre:45s

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