Tüm alıştırma soruları

Soru 4801Soru →

During pre-deployment staging, technicians inspect the aerial delivery harnesses for any frayed—that is, unraveled or worn—webbing before loading cargo. They must also verify that the latching mechanism remains pliable, or easily bent and flexible, despite freezing temperatures. Finally, operators ensure the release pins are completely unobstructed, meaning clear and unblocked, to guarantee proper container separation. Based on the passage, match each vocabulary term with the synonymous clue phrase that directly defines it.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

'Frayed' matches with 'Unraveled or worn', 'Pliable' matches with 'Easily bent and flexible', and 'Unobstructed' matches with 'Clear and unblocked'.

Each term in the passage is paired with an explicit synonymous context clue: 'frayed' is restated as 'unraveled or worn', 'pliable' is clarified by the appositive 'easily bent and flexible', and 'unobstructed' is defined by 'meaning clear and unblocked'.

Adım Adım Çözüm

1

Locate the word 'frayed' and identify its structural context clue.

The word is followed by the clarifying phrase 'that is, unraveled or worn' bounded by dashes.

The phrase introduced by 'that is' provides a direct synonymous definition.

2

Locate the word 'pliable' and examine the adjoining phrase.

The word is directly followed by ', or easily bent and flexible,'.

The connector 'or' introduces an appositive restatement defining the target adjective.

3

Locate the word 'unobstructed' and find its defining clause.

The word is followed by 'meaning clear and unblocked'.

The participle 'meaning' introduces an explicit synonymous explanation of the condition.

Anahtar Kavram

Identifying Synonymous Context Clues

Tahmini Süre:1m 0s

Soru 4802Soru →

Evaluate the following mathematical expression:

|-12| - (-4) \times 2

Which of the following is the correct calculated value?

32

4

-4

20

Cevabı ve açıklamayı göster

Cevap: $20$

Cevap

The correct result of the expression is

20

.

Following the order of operations, first evaluate the absolute value:

|-12| = 12

. Next, perform the multiplication:

-4 \times 2 = -8

. Finally, perform the subtraction:

12 - (-8)

. Since subtracting a negative number is the same as adding a positive number, the expression becomes

12 + 8 = 20

.

Adım Adım Çözüm

1

Evaluate the absolute value

|-12| = 12

Absolute value represents the distance from zero on a number line, so it is always non-negative.

2

Perform the multiplication

-4 \times 2 = -8

According to the standard order of operations (PEMDAS), multiplication must be performed before subtraction.

3

Subtract the product from the absolute value result

12 - (-8) = 12 + 8 = 20

Subtracting a negative integer is mathematically equivalent to adding its positive counterpart.

Anahtar Kavram

Applying the order of operations (PEMDAS), evaluating absolute values, and following integer sign rules.

Soru 4803Soru →

Impressed Current Cathodic Protection (ICCP) systems prevent seawater corrosion on naval ship hulls by supplying an external direct current. An automated controller continuously monitors the hull-to-water electrical potential using zinc reference electrodes mounted below the waterline. When the potential drops below the target threshold, the power unit increases current output through mixed-metal oxide anodes to neutralize electrochemical oxidation. To prevent hydrogen embrittlement in high-strength structural steel, dielectric shield coatings are applied around each anode to limit local current density.

According to the passage, which component is used to monitor the hull-to-water electrical potential?

Mixed-metal oxide anodes

Zinc reference electrodes

Dielectric shield coatings

Sacrificial magnesium rods

Cevabı ve açıklamayı göster

Cevap: Zinc reference electrodes

Cevap

Zinc reference electrodes

The passage explicitly states that the controller monitors the hull-to-water electrical potential using zinc reference electrodes mounted below the waterline.

Adım Adım Çözüm

1

Locate the phrase in the passage referencing the monitoring of electrical potential.

Identified the sentence: 'An automated controller continuously monitors the hull-to-water electrical potential using zinc reference electrodes mounted below the waterline.'

Direct fact retrieval requires locating the exact operational function requested by the stem.

2

Extract the specific component identified with that monitoring function.

Zinc reference electrodes.

The passage explicitly names zinc reference electrodes as the instruments utilized for measurement.

Anahtar Kavram

Direct retrieval of explicitly stated technical components and their functional roles from a passage.

Tahmini Süre:1m 0s

Soru 4804Soru →

Closed-circuit oxygen rebreathers utilized in naval diving operations rely on a chemical absorbent canister to scrub carbon dioxide from exhaled breathing gas. Exhaled breath is directed through a packed bed of calcium hydroxide and sodium hydroxide granules. This chemical scrubbing process produces both moisture and heat, which warms the breathing loop. To capture particulate matter before it reaches the diver, porous foam filter pads are secured at both the canister inlet and outlet.

Statement: The chemical reaction within the rebreather canister generates heat and moisture that warm the diver's breathing loop.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True. The passage explicitly confirms that the chemical scrubbing process produces moisture and heat, warming the breathing loop.

The passage explicitly states that the chemical scrubbing reaction generates both moisture and heat, which directly warms the diver's breathing loop.

Adım Adım Çözüm

1

Identify the key terms in the statement to scan the passage for.

Targeted key terms: 'chemical reaction', 'heat and moisture', and 'warm'.

Scanning for specific factual descriptors allows direct verification against the passage details.

2

Locate the corresponding sentence in the passage.

Found: 'This chemical scrubbing process produces both moisture and heat, which warms the breathing loop.'

Direct fact retrieval requires matching the statement's claim to explicit textual evidence.

3

Evaluate the statement's truth value based on the matched evidence.

The statement directly matches the stated facts without modification or contradiction.

Determining accuracy requires confirming that all parts of the factual claim are supported.

Anahtar Kavram

Direct Fact Retrieval

Tahmini Süre:45s

Soru 4805Soru →

Magnetic chip detectors are installed in the scavenge oil lines of aircraft reduction gearboxes to monitor mechanical wear. As engine oil circulates, the magnetized core captures ferrous metal particles shed by degrading gears or bearings. When accumulated metal fragments bridge the gap between the central magnetic pole and the grounded housing, an electrical circuit completes, illuminating a caution annunciator in the cockpit. Modern dual-gap detectors incorporate a continuous self-diagnostic circuit to differentiate between fine metallic fuzz from normal wear and large spalled flakes that indicate imminent component failure.

According to the passage, what directly causes the cockpit caution annunciator to illuminate?

The continuous self-diagnostic circuit detecting fine metallic fuzz from normal wear

Accumulated metal fragments bridging the gap between the magnetic pole and the housing

The cockpit annunciator sending an electrical current to energize the magnetized core

Excessive oil temperature in the scavenge line triggering a thermal sensor

Cevabı ve açıklamayı göster

Cevap: Accumulated metal fragments bridging the gap between the magnetic pole and the housing

Cevap

Accumulated metal fragments bridging the gap between the magnetic pole and the housing

The text explicitly states that when accumulated metal fragments bridge the gap between the central magnetic pole and the grounded housing, an electrical circuit is completed, which directly illuminates the caution annunciator in the cockpit.

Adım Adım Çözüm

1

Locate the sentence discussing the cockpit caution annunciator.

Identified the sentence: 'When accumulated metal fragments bridge the gap between the central magnetic pole and the grounded housing, an electrical circuit completes, illuminating a caution annunciator in the cockpit.'

Direct fact retrieval requires locating the explicit sentence that addresses the question stem.

2

Extract the exact cause linked to the illumination event.

The text explicitly states the trigger is accumulated metal fragments bridging the gap between the central magnetic pole and the grounded housing.

The correct response must match the explicit factual cause without extrapolation.

Anahtar Kavram

Direct Fact Retrieval

Tahmini Süre:1m 0s

Soru 4806Soru →

Before mounting cylinder heads on heavy diesel transport engines, technicians must ensure that all internal oil passages remain patent—that is to say, unobstructed and clear of debris. Any residual metal shavings or casting slag can prevent lubricants from flowing properly through the block, leading to dangerous friction buildup and catastrophic mechanical failure.

As used in the passage, what is the meaning of the word "patent"?

legally protected

unobstructed

catastrophic

highly pressurized

Cevabı ve açıklamayı göster

Cevap: unobstructed

Cevap

The word "patent" means unobstructed.

The author uses the signal phrase "that is to say" immediately after the word "patent" to define it directly as "unobstructed and clear of debris." Therefore, "unobstructed" is the exact meaning established by the context.

Adım Adım Çözüm

1

Locate the target word "patent" in the passage.

Identified the target phrase: "remain patent—that is to say, unobstructed and clear of debris."

Locating the target word within its immediate sentence structure allows identification of adjacent context clues.

2

Analyze the structural signal phrase following the target word.

Recognized the phrase "that is to say," followed directly by the descriptive words "unobstructed and clear of debris."

The transitional phrase "that is to say" explicitly introduces a synonymous definition or direct restatement.

3

Match the restated definition to the answer choices.

Selected "unobstructed" as the exact synonym.

The option directly reflects the explanatory synonym provided in the text.

Anahtar Kavram

Identifying direct restatements and synonymous signal phrases to determine unfamiliar vocabulary meaning in context.

Tahmini Süre:45s

Soru 4807Soru →

During routine operational readiness testing of the shipboard Halon 1301 fire extinguishing system in main machinery spaces, technicians must monitor discharge timing and pressure thresholds. The system requires a 60-second primary system diagnostic check prior to manual arming. When activated, a 30-second pre-discharge alarm sounds to permit personnel evacuation before the agent releases. The total flooding concentration must achieve full dispersion within 10 seconds of discharge initiation. After activation, the compartment must remain sealed for at least 15 minutes to prevent fire reflash.

According to the passage, how long does the pre-discharge alarm sound to allow personnel to evacuate?

10 seconds

30 seconds

60 seconds

15 minutes

Cevabı ve açıklamayı göster

Cevap: 30 seconds

Cevap

30 seconds

The passage directly states that a 30-second pre-discharge alarm sounds when the system is activated to allow personnel time to evacuate before the extinguishing agent releases.

Adım Adım Çözüm

1

Identify the target quantity requested in the stem

The target quantity is the duration of the pre-discharge evacuation alarm.

Clarifying the specific measurement needed prevents confusion with other numbers in the passage.

2

Scan the passage for the sentence detailing the pre-discharge alarm

The text states: 'When activated, a 30-second pre-discharge alarm sounds to permit personnel evacuation before the agent releases.'

Locating the exact sentence links the correct numerical value with the specified event.

3

Extract the corresponding time value and confirm against alternative figures

The duration is 30 seconds, distinguishing it from 60 seconds (diagnostic check), 10 seconds (dispersion time), and 15 minutes (sealing duration).

Eliminating surrounding quantitative data confirms the exact match.

Anahtar Kavram

Extracting specific numerical values and time durations associated with distinct operational stages in technical text

Tahmini Süre:1m 0s

Soru 4808Soru →

An algebraic expression is given below:

-2p(3q - p) - [4pq - p(2p + 5q)]

When fully simplified, which of the following represents the equivalent polynomial?

-5pq

-p^2q

4p^2 - 5pq

-7pq

Cevabı ve açıklamayı göster

Cevap: $4p^2 - 5pq$

Cevap

4p^2 - 5pq

The expression simplifies correctly by first distributing the multipliers:

-2p(3q - p) = -6pq + 2p^2

and

-p(2p + 5q) = -2p^2 - 5pq

. The bracket becomes

[4pq - 2p^2 - 5pq] = [-pq - 2p^2]

. Distributing the negative sign outside the bracket gives

+pq + 2p^2

. Finally, combining all terms:

(-6pq + 2p^2) + (pq + 2p^2) = 4p^2 - 5pq

.

Adım Adım Çözüm

1

Distribute the outer multiplier

-2p

into the first binomial.

-6pq + 2p^2

Applying the distributive property:

-2p(3q) = -6pq

and

-2p(-p) = +2p^2

.

2

Distribute

-p

into the binomial within the square brackets.

4pq - 2p^2 - 5pq

Applying the distributive property inside the grouping:

-p(2p) = -2p^2

and

-p(5q) = -5pq

.

3

Combine like terms inside the square brackets.

-pq - 2p^2

Combining the like terms

4pq

and

-5pq

yields

-pq

.

4

Distribute the negative sign outside the square brackets to the simplified contents.

+pq + 2p^2

Subtracting a quantity is equivalent to adding its opposite:

-(-pq - 2p^2) = +pq + 2p^2

.

5

Combine all remaining terms from the entire expression.

2p^2 - 6pq + pq + 2p^2 = 4p^2 - 5pq

Grouping like terms:

(2p^2 + 2p^2) + (-6pq + pq) = 4p^2 - 5pq

.

Anahtar Kavram

Simplifying expressions involves correctly applying the distributive property, especially with negative multipliers, and combining like terms.

Soru 4809Soru →

What is the absolute difference between the smallest positive integer and the largest negative integer?

Cevabı ve açıklamayı göster

Cevap: 2

Cevap

2

The smallest positive integer is 1 and the largest negative integer is -1. The absolute difference between them is found by subtracting the two values and taking the absolute value:

|1 - (-1)| = |1 + 1| = 2

.

Adım Adım Çözüm

1

Identify the smallest positive integer.

1

The integer 0 is neither positive nor negative. The positive integers start at 1, making it the smallest positive integer.

2

Identify the largest negative integer.

-1

Negative integers increase in value as they get closer to zero. Therefore, -1 is the largest negative integer.

3

Calculate the absolute difference.

2

The absolute difference represents the total distance between the two numbers on the number line. Calculate this as

|1 - (-1)| = |1 + 1| = 2

.

Anahtar Kavram

Properties of Integers (Number Line and Absolute Value)

Soru 4810Soru →

What is the greatest integer value of $x$ that satisfies the following inequality?

3(4 - 2x) - 2x > 5(x - 3) - 10x

Cevabı ve açıklamayı göster

Cevap: 8

Cevap

8

Solving the inequality yields x < 9. Since the inequality is strictly less than 9, the greatest integer that satisfies the condition is 8.

Adım Adım Çözüm

1

Distribute the 3 and 5

12 - 6x - 2x > 5x - 15 - 10x

To eliminate the parentheses on both sides of the inequality.

2

Combine like terms

12 - 8x > -5x - 15

To simplify both sides before isolating the variable.

3

Isolate the variable terms

-3x > -27

Subtract 12 from both sides and add 5x to both sides to get all x terms on the left and constants on the right.

4

Divide by -3

x < 9

Dividing an inequality by a negative number requires flipping the inequality sign.

5

Find the greatest integer

8

The inequality states x must be strictly less than 9, so the largest possible integer is 8.

Anahtar Kavram

Solving linear inequalities, applying the negative division flip rule, and interpreting integer boundaries.

Soru 4811Soru →

What is the minimum integer value of

x

that satisfies the following inequality?

-3x + 2 \leq 14

Cevabı ve açıklamayı göster

Cevap: -4

Cevap

-4

By isolating the variable and correctly reversing the inequality sign when dividing by a negative number, we find the solution set is

x \geq -4

. The smallest integer in this set is -4.

Adım Adım Çözüm

1

Subtract 2 from both sides of the inequality.

-3x \leq 12

To isolate the variable term.

2

Divide both sides by -3 and reverse the inequality sign.

x \geq -4

Dividing an inequality by a negative number requires reversing the direction of the inequality symbol to maintain the true mathematical relationship.

3

Find the minimum integer value that satisfies the solution set.

-4

The solution set includes all numbers greater than or equal to -4. The smallest integer in this set is -4.

Anahtar Kavram

Solving two-step linear inequalities and applying the rule for dividing by a negative number.

Soru 4812Soru →

A mathematical model for a fluid dynamics problem reduces to the following algebraic expression:

-2xy(3x - 4y) - [5x^2y - 2xy(x + 3y)]

When completely simplified, which of the following represents the equivalent standard form?

-13x^2y + 2xy^2

-9x^2y + 2xy^2

-9x^2y + 14xy^2

5x^3y^3

Cevabı ve açıklamayı göster

Cevap: $-9x^2y + 14xy^2$

Cevap

The correct expression is

-9x^2y + 14xy^2

.

The correct expression is derived by applying the order of operations and the distributive property. First, evaluate the terms inside the brackets to get

3x^2y - 6xy^2

. Then expand the initial term to

-6x^2y + 8xy^2

. Subtracting the bracket flips the inner signs, yielding

-6x^2y + 8xy^2 - 3x^2y + 6xy^2

. Combining like terms results in

-9x^2y + 14xy^2

.

Adım Adım Çözüm

1

Expand the inner terms inside the brackets by distributing

-2xy

to

(x + 3y)

.

5x^2y - 2x^2y - 6xy^2

Following the order of operations, simplify grouping symbols first.

2

Combine like terms within the brackets.

3x^2y - 6xy^2

To minimize the expression before subtracting it from the leading terms.

3

Distribute

-2xy

to the terms in the first parenthesis

(3x - 4y)

.

-6x^2y + 8xy^2

To expand the first part of the expression.

4

Subtract the simplified bracketed expression from the expanded first part.

-6x^2y + 8xy^2 - (3x^2y - 6xy^2) = -6x^2y + 8xy^2 - 3x^2y + 6xy^2

To remove the remaining grouping symbols and properly distribute the negative sign.

5

Combine the remaining like terms to reach the final form.

-9x^2y + 14xy^2

To express the polynomial in its simplest standard form.

Anahtar Kavram

Simplifying complex expressions using the distributive property, managing negative multipliers, and working with nested grouping symbols.

Soru 4813Soru →

A wire manufacturing facility operates $40$ extrusion machines simultaneously. Each machine produces $15$ centimeters of copper wire per second. How many kilometers of copper wire do all $40$ machines produce combined in exactly one hour?

0.36

2,160

21.6

21,600

Cevabı ve açıklamayı göster

Cevap: $21.6$

Cevap

The machines produce a combined total of

21.6

kilometers of copper wire in one hour.

First, find the facility's total production per second by multiplying

40

machines by

15

cm, yielding

600

cm/sec. Next, multiply by

3,600

(the number of seconds in one hour) to find the hourly production in centimeters, which equals

2,160,000

cm. Finally, convert centimeters to kilometers by dividing by

100,000

(

100 \text{ cm} = 1 \text{ m}

and

1,000 \text{ m} = 1 \text{ km}

), resulting in

21.6

kilometers.

Adım Adım Çözüm

1

Calculate the total length of wire produced per second by all machines combined.

40 \times 15 = 600

centimeters per second.

This establishes the facility's baseline production rate before factoring in a longer duration.

2

Scale the production rate from seconds to hours.

600 \times 3,600 = 2,160,000

centimeters per hour.

There are

60

seconds in a minute and

60

minutes in an hour, meaning there are

3,600

seconds in exactly one hour.

3

Convert the total length from centimeters to kilometers.

2,160,000 \div 100,000 = 21.6

kilometers.

Since there are

100

centimeters in a meter and

1,000

meters in a kilometer, the total conversion factor is

100,000

centimeters per kilometer.

Anahtar Kavram

Multi-step metric prefix conversions involving time rates and combined totals.

Soru 4814Soru →

Read the passage below:

Closed-circuit rebreathers used in deep salvage diving recirculate exhaled gas through a canister packed with chemical absorbent. Rather than merely trapping physical particulate, this chemical bed actively binds exhaled carbon dioxide through an exothermic reaction, converting the gas into solid carbonate and water vapor. Because this process releases noticeable warmth and moisture, divers rely on canister heat as an operational indicator that the chemical scrubber is actively neutralizing toxic gas buildup rather than failing passively.

Evaluate the following statement as True or False:
Based on the passage, the author's primary intent in contrasting chemical binding with physical particulate trapping is to emphasize that carbon dioxide removal depends on an active reaction rather than simple mechanical filtration.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True

The correct evaluation is True because the author specifically contrasts particulate trapping with chemical binding to ensure the reader understands that carbon dioxide mitigation is a reactive chemical process rather than a passive mechanical one.

Adım Adım Çözüm

1

Analyze the rhetorical structure and context of the excerpted contrast.

The author sets up an explicit comparison between 'merely trapping physical particulate' and 'actively binds exhaled carbon dioxide through an exothermic reaction.'

Understanding why an author contrasts two concepts reveals their communicative purpose.

2

Determine the author's underlying objective in employing this contrast.

The contrast serves to prevent the misconception that scrubbers act as simple strainers, highlighting instead the chemical transformation required to eliminate carbon dioxide.

Identifying rhetorical intent requires discerning what concept the author aims to clarify for the reader.

3

Evaluate the test statement against the derived intent.

The statement accurately reflects the author's pedagogical goal in making the distinction.

Confirming alignment between the author's rhetorical choice and the statement establishes its truth value.

Anahtar Kavram

Inferring Author Purpose and Intent

Tahmini Süre:1m 0s

Soru 4815Soru →

Match each complex verbal phrase with its correct algebraic expression representation.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

The correct pairings match each complex verbal description with its respective mathematical translation: 'Twice the difference...' pairs with

2(3x - 7)

; 'Three times a number...' pairs with

(x + 5)^2 - 3x

; 'The quotient of...' pairs with

\frac{2x - 5}{x + 3}

; and 'The sum of...' pairs with

\frac{x + 4}{3x} - 8

.

Each verbal phrase contains specific operational keywords ('quotient', 'product', 'sum', 'difference') and ordering phrases ('subtracted from', 'less than'). Correct translation requires accurately identifying the operations, maintaining the proper sequence, and utilizing grouping symbols where compound expressions are modified.

Adım Adım Çözüm

1

Analyze the first phrase: 'Twice the difference when seven is subtracted from three times a number

x

'.

The phrase translates to

2(3x - 7)

.

The phrase 'subtracted from' reverses the order, making it

3x - 7

. 'Twice the difference' requires multiplying the entire grouping by 2.

2

Analyze the second phrase: 'Three times a number

x

subtracted from the square of five more than the number'.

The phrase translates to

(x + 5)^2 - 3x

.

The base quantity is 'five more than the number' (

x + 5

), which is then squared to become

(x + 5)^2

. Subtracting

3x

from this quantity gives the final expression.

3

Analyze the third phrase: 'The quotient of five less than twice a number

x

and three more than the number'.

The phrase translates to

\frac{2x - 5}{x + 3}

.

'Quotient' implies a division. The first part, 'five less than twice a number', forms the numerator (

2x - 5

). The second part, 'three more than the number', forms the denominator (

x + 3

).

4

Analyze the fourth phrase: 'The sum of a number

x

and four, divided by the product of three and the number, all decreased by eight'.

The phrase translates to

\frac{x + 4}{3x} - 8

.

The fraction is constructed with 'the sum' (

x + 4

) over 'the product' (

3x

). The phrase 'all decreased by eight' instructs to subtract 8 from the complete fraction.

Anahtar Kavram

Accurately identifying operational keywords and recognizing the correct order of translation for phrases like 'less than' and 'subtracted from'.

Tahmini Süre:2m 0s

Soru 4816Soru →

Determine the completely simplified form of the following expression:

3(2a + 4) - 5a

Cevabı ve açıklamayı göster

Cevap: a + 12; a+12; 12 + a; 12+a; 1a + 12; 1a+12

Cevap

a + 12

Applying the distributive property to

3(2a + 4)

yields

6a + 12

. The expression becomes

6a + 12 - 5a

. Subtracting

5a

from

6a

leaves

a

. The constant

12

cannot be combined with

a

, making the final simplified expression

a + 12

.

Adım Adım Çözüm

1

Use the distributive property to multiply 3 by each term inside the parentheses.

6a + 12 - 5a

Expanding the parentheses is the necessary first step to access the terms for combination.

2

Group and combine the like terms (

6a

and

-5a

).

a + 12

Subtracting

5a

from

6a

leaves

1a

(or

a

), while the constant

12

remains unchanged.

Anahtar Kavram

Applying the distributive property and combining like terms.

Tahmini Süre:45s

Soru 4817Soru →

In a mechanical winch system, three interlocking gears are used to lift cargo. Gear A completes $4$ revolutions for every $3$ revolutions Gear B completes. Gear B completes $2$ revolutions for every $5$ revolutions Gear C completes. If Gear C spins at a rate of $120$ revolutions per minute, how many revolutions will Gear A complete in one minute?

48

64

90

160

Cevabı ve açıklamayı göster

Cevap: $64$

Cevap

Gear A will complete

64

revolutions in one minute.

The correct answer successfully steps through the proportion chain. First, finding Gear B's revolutions (

120 \times \frac{2}{5} = 48

), and then using Gear B's value to find Gear A's revolutions (

48 \times \frac{4}{3} = 64

).

Adım Adım Çözüm

1

Find the number of revolutions for Gear B using its ratio with Gear C.

Gear B completes

48

revolutions.

The ratio of Gear B to Gear C is

2:5

. Setting up the proportion

\frac{B}{120} = \frac{2}{5}

gives

B = \frac{120 \times 2}{5} = 48

.

2

Find the number of revolutions for Gear A using its ratio with Gear B.

Gear A completes

64

revolutions.

The ratio of Gear A to Gear B is

4:3

. Setting up the proportion

\frac{A}{48} = \frac{4}{3}

gives

A = \frac{48 \times 4}{3} = 64

.

Anahtar Kavram

Multi-step ratios and proportions

Tahmini Süre:1m 0s

Soru 4818Soru →

An important part of algebraic evaluation is applying operations in the correct sequence. Consider the mathematical expression provided below:

-3^2 + 4 \times [15 \div (2 - 5)] - (-6)

What is the final calculated value of this expression?

Cevabı ve açıklamayı göster

Cevap: -23

Cevap

-23

Following the strict order of operations, we first resolve the grouping symbols from the inside out to get

-5

for the bracketed term. Next, we evaluate the isolated exponent

-3^2

as

-9

. Then, we multiply the

4

by our bracketed result of

-5

to get

-20

. Finally, we perform addition and subtraction from left to right:

-9 + (-20) + 6

, which results in

-23

.

Adım Adım Çözüm

1

Evaluate innermost parentheses

(2 - 5) = -3

Order of operations dictates solving expressions inside the innermost grouping symbols first.

2

Evaluate brackets

[15 \div (-3)] = -5

Continue evaluating operations inside the next level of grouping symbols.

3

Evaluate exponent

-3^2 = -9

Exponents are evaluated before multiplication and division. The negative sign is outside the base, so only the 3 is squared.

4

Perform multiplication

4 \times (-5) = -20

Multiplication and division are performed from left to right before any addition or subtraction.

5

Perform addition and subtraction

-9 + (-20) - (-6) = -23

Add and subtract from left to right. Subtracting a negative number is mathematically equivalent to adding a positive number.

Anahtar Kavram

Applying the order of operations (PEMDAS) to expressions with nested grouping symbols, exponents, and signed numbers.

Soru 4819Soru →

Read the passage below:

Aviation maintenance protocols mandate inflating commercial aircraft tires with dry nitrogen rather than standard compressed ambient air. Ambient air contains fluctuating amounts of water vapor and oxygen, both of which introduce severe hazards under extreme flight cycles. At cruising altitudes exceeding 30,000 feet, ambient temperatures plummet below minus forty degrees, causing entrained moisture to freeze into ice crystals that disrupt wheel balance and damage valve stems. Conversely, during high-speed landings, friction heats the tire assemblies to temperatures where pressurized oxygen can sustain internal rubber combustion. By displacing oxygen and eliminating moisture, chemically inert nitrogen stabilizes internal pressure swings and prevents catastrophic thermal blowouts.

Based on the passage, match each excerpted statement to the author's specific communicative intent in including it.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

Match the statement regarding fluctuating amounts of water vapor and oxygen to defining core chemical vulnerabilities; match the statement detailing subzero cruising temperatures and ice crystals to providing a concrete environmental example of physical risks; match the statement describing nitrogen's displacement of oxygen and moisture to summarizing how the mandated gas solves identified risks.

Each excerpt fulfills a distinct rhetorical stage in the author's explanatory argument: the first excerpt establishes the underlying chemical vulnerability, the second illustrates a specific operational hazard under extreme cold, and the third provides the comprehensive solution demonstrating why nitrogen is mandated.

Adım Adım Çözüm

1

Analyze the rhetorical role of the first excerpt regarding water vapor and oxygen components.

The statement sets up the problem by naming the two problematic elements of atmospheric air, functioning to define the chemical basis of the hazard.

Identifying the organizational structure helps determine why an author introduces a premise prior to supporting examples.

2

Examine the context and purpose of the cruising altitude excerpt.

The excerpt details specific flight conditions (below minus forty degrees) and mechanical consequences (ice crystals, wheel imbalance), serving as an illustrative example of cold-weather hazards.

Specific operational metrics and physical outcomes demonstrate supporting evidence rather than overarching claims.

3

Determine the function of the closing sentence regarding inert nitrogen.

The sentence synthesizes the entire argument by linking nitrogen's chemical properties to the prevention of the previously detailed failures.

Concluding statements typically resolve the conflict or explain the rationale behind the primary topic.

Anahtar Kavram

Inferring Rhetorical Function and Authorial Intent in Expository Text

Tahmini Süre:1m 15s

Soru 4820Soru →

During hazardous material containment drills, emergency response specialists must verify that all protective containment suits are impermeable—that is to say, completely leakproof—before entering the hot zone. Even microscopic tears can allow airborne toxic vapors to penetrate the outer barrier and cause severe physiological harm.

Based on the synonymous context clue in the passage, what term directly clarifies the meaning of the word "impermeable"?

Aşağıdaki boşlukları doldurun

According to the context clue in the passage, the word "impermeable" means .

Cevabı ve açıklamayı göster

Cevap

leakproof (or completely leakproof)

The passage uses the transition phrase "that is to say" enclosed within dashes immediately following "impermeable" to provide an exact synonym: "completely leakproof". Therefore, "leakproof" directly defines "impermeable".

Adım Adım Çözüm

1

Locate the target vocabulary word in the passage.

The target word "impermeable" appears in the first sentence regarding protective containment suits.

Identifying the target word establishes the immediate textual neighborhood where the defining clue is located.

2

Analyze the structural punctuation and signaling transitions surrounding the target word.

The target word is followed by an em dash and the restatement phrase "that is to say, completely leakproof—".

Phrases like "that is to say" set off by dashes serve as explicit synonymous context clue markers that provide an immediate definition or equivalent term.

3

Extract the synonym that defines the target term.

"Leakproof" (or "completely leakproof") directly defines "impermeable".

The author provides this direct restatement to ensure the technical requirement of the suit is clearly understood.

Anahtar Kavram

Identifying Synonymous Context Clues Using Restatement Indicators

Tahmini Süre:1m 0s

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