Tüm alıştırma soruları

5215 soru

Soru 4761Soru →

Unlike conventional automotive fluids that lubricate moving mechanical components, hydraulic brake fluid functions as an incompressible medium designed to transmit pedal force directly to the calipers. However, glycol-based brake fluids are hygroscopic, meaning they steadily absorb ambient moisture through microscopic pores in flexible rubber brake lines and master cylinder seals over time. Even a three percent water accumulation can depress the fluid's boiling point by more than one hundred degrees. Under prolonged or aggressive braking, the localized heat generated at the friction pads can boil this contaminated fluid, producing compressible steam pockets that lead to total pedal failure, known as vapor lock. Regular fluid replacement is therefore essential to preserve hydraulic integrity.

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

Cevabı ve açıklamayı göster

Cevap: To explain the risks of moisture absorption in brake fluid and highlight the importance of routine maintenance

Cevap

To explain the risks of moisture absorption in brake fluid and highlight the importance of routine maintenance
The passage explains the physical process by which glycol brake fluid absorbs moisture and causes vapor lock, leading directly to the author's main takeaway that regular fluid replacement is essential to maintain safety.

Adım Adım Çözüm

1
Analyze the passage structure and identify the core problem being presented.
The text explains that hygroscopic brake fluid absorbs water, drastically lowering its boiling point and causing vapor lock under braking heat.
Understanding the central technical subject helps differentiate the primary focus from supporting context.
2
Examine the concluding sentence to determine the author's key takeaway or objective.
The author states that 'Regular fluid replacement is therefore essential to preserve hydraulic integrity.'
The concluding statement directly articulates the practical motivation behind explaining the degradation process.
3
Synthesize the problem and conclusion to determine the author's primary intent.
The passage is designed to explain how water contamination compromises braking systems and why preventative fluid changes are necessary.
The primary purpose must encompass both the informative explanation of the hazard and the recommended maintenance solution.

Anahtar Kavram

Inferring Author Purpose and Intent in Technical Texts
Tahmini Süre:1m 0s
Soru 4762Soru →

A military supply officer is inventorying emergency drinking water supplies stored in four different transport containers. To properly balance the cargo load for an upcoming transport flight, the officer needs to evaluate their relative capacities. Arrange the following containers from least to greatest volume of water.

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct sequence from least to greatest volume is Container C, Container D, Container A, and Container B.
To accurately compare the volumes, each measurement must be standardized to a common unit, such as liters. Container C converts to 450450 liters (450,000÷1,000450,000 \div 1,000). Container D converts to 465465 liters (46,500÷10046,500 \div 100). Container A converts to 480480 liters (0.48×1,0000.48 \times 1,000). Container B is already given as 490490 liters. Arranging these converted values from least to greatest yields Container C, Container D, Container A, and Container B.

Adım Adım Çözüm

1
Convert the volume of Container A to liters.
0.48 kL×1,000=480 L0.48 \text{ kL} \times 1,000 = 480 \text{ L}
The prefix kilo- means 1,000. Multiplying kiloliters by 1,000 converts the measurement to the base unit of liters.
2
Convert the volume of Container C to liters.
450,000 mL÷1,000=450 L450,000 \text{ mL} \div 1,000 = 450 \text{ L}
The prefix milli- means one-thousandth. Dividing milliliters by 1,000 converts the measurement to liters.
3
Convert the volume of Container D to liters.
46,500 cL÷100=465 L46,500 \text{ cL} \div 100 = 465 \text{ L}
The prefix centi- means one-hundredth. Dividing centiliters by 100 converts the measurement to liters.
4
Compare the standardized values to establish the final order.
450 L<465 L<480 L<490 L450 \text{ L} < 465 \text{ L} < 480 \text{ L} < 490 \text{ L}
Ordering the converted numerical values directly dictates the arrangement from least to greatest capacity.

Anahtar Kavram

Converting metric capacity units (kiloliters, liters, centiliters, milliliters) to a common base unit to compare magnitudes.
Soru 4763Soru →

Read the following technical passage and complete the statement below:

Pneumatic de-icing boots are installed on the leading edges of aircraft wings and stabilizers to eliminate accumulated ice during flight. When the system is activated, an engine-driven pneumatic pump inflates the flexible rubber boots with regulated air pressure, cracking the brittle ice layer so that the slipstream blows it away. Standard operating procedures dictate that pilots must cycle the inflation boots only after a minimum of one-quarter inch of ice has built up; inflating the boots prematurely can cause a hollow ice bridge to form around the inflated boot, rendering subsequent inflation cycles ineffective.

Based on the passage, complete the following statement:

Aşağıdaki boşlukları doldurun

Inflating pneumatic de-icing boots prior to reaching the recommended thickness can lead to the formation of a .
Cevabı ve açıklamayı göster

Cevap

hollow ice bridge (or ice bridge)
The author directly states that inflating the boots prematurely causes a 'hollow ice bridge' to form around the inflated boot, which prevents subsequent inflation cycles from cracking the ice.

Adım Adım Çözüm

1
Scan the passage for key terms related to premature activation or inflating before the recommended thickness.
The text states: 'inflating the boots prematurely can cause a hollow ice bridge to form around the inflated boot, rendering subsequent inflation cycles ineffective.'
Direct fact retrieval requires isolating the specific factual sentence answering the prompt.
2
Extract the specific noun phrase representing the physical structure created by premature inflation.
The passage identifies the structure as a 'hollow ice bridge'.
The blank requires the exact explicit consequence identified by the author.

Anahtar Kavram

Direct Fact Retrieval
Soru 4764Soru →

Read the following technical maintenance passage:

During scheduled preventive maintenance on the Field Refrigeration Unit (FRU-400), technicians must verify all system operating parameters. First, maintenance personnel calibrate the high-pressure safety relief valve to trip at 375 PSI. Before introducing refrigerant into the closed loop, the system must hold a vacuum of 500 microns for 45 minutes to verify that all moisture has been eliminated. Once the vacuum verification is complete, the compressor is charged until the steady operating suction pressure stabilizes at 28 PSI under an ambient testing condition of 85 degrees Fahrenheit.

Based on the passage, what is the required steady operating suction pressure during compressor charging?

Aşağıdaki boşlukları doldurun

Technicians must charge the compressor until the steady operating suction pressure stabilizes at .
Cevabı ve açıklamayı göster

Cevap

28 PSI (or 28 pounds per square inch)
The passage directly links compressor charging to an operating suction pressure of 28 PSI ('the compressor is charged until the steady operating suction pressure stabilizes at 28 PSI').

Adım Adım Çözüm

1
Identify the specific technical metric requested by the question stem.
The target quantity is the steady operating suction pressure required during compressor charging.
The prompt isolates the compressor's operating suction pressure rather than valve safety limits, vacuum hold times, or ambient air temperature.
2
Locate the sentence in the stimulus that describes the compressor charging process and its resulting pressure.
The text states: '...the compressor is charged until the steady operating suction pressure stabilizes at 28 PSI under an ambient testing condition of 85 degrees Fahrenheit.'
Scanning for the keywords 'compressor', 'suction pressure', and 'stabilizes' pinpoints the relevant quantitative statement.
3
Extract the exact numerical figure and unit corresponding to that measurement.
28 PSI
28 PSI is the exact quantitative specification stated for steady suction pressure.

Anahtar Kavram

Extracting a specific quantitative measurement from technical text containing multiple competing numerical values.
Tahmini Süre:1m 0s
Soru 4765Soru →

The product of two negative integers is always a positive integer.

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True
The statement is correct because the mathematical rule for multiplying two integers with identical negative signs dictates that their product is positive.

Adım Adım Çözüm

1
Recall the rules for multiplying integers with the same sign.
A negative number multiplied by another negative number equals a positive number.
This is a fundamental property of integer multiplication.
2
Apply the rule to a concrete example to verify.
For instance, −3×−4=12-3 \times -4 = 12.
Using concrete integers confirms that the product is indeed a positive integer.

Anahtar Kavram

Sign Rules for Integer Operations
Tahmini Süre:15s
Soru 4766Soru →

Complete the statements below with the correct numerical values.

Aşağıdaki boşlukları doldurun

An upgraded water purification system at a naval facility processes 5,2005,200 gallons of water per hour. This new processing rate represents a 30%30\% increase over the system's previous capacity.

The previous capacity of the system was
gallons per hour. The upgrade increased the processing capacity by gallons per hour.
Cevabı ve açıklamayı göster

Cevap

The previous capacity was 4,000 gallons per hour, and the upgrade increased the capacity by 1,200 gallons per hour.
A 30% increase means the new capacity is 130% of the original capacity. Dividing the new capacity (5,200) by 1.30 gives the original capacity of 4,000 gallons per hour. The numerical increase is the difference between the new and old capacities: 5,200 - 4,000 = 1,200 gallons per hour.

Adım Adım Çözüm

1
Set up an equation representing the percentage increase.
Let x be the previous capacity. Since there is a 30% increase, the new capacity is 100% + 30% = 130% of the previous capacity. Therefore, 1.3x = 5200.
To find the original base amount before a percentage increase, we must express the final amount as a percentage of the original.
2
Solve the equation for the previous capacity (x).
x = 5200 / 1.3 = 4000. This is the previous capacity.
Dividing the final amount by the percentage multiplier isolates the original base.
3
Calculate the amount of the capacity increase.
5200 - 4000 = 1200. This is the amount of the increase.
Subtracting the original capacity from the final capacity yields the exact volume added by the upgrade.

Anahtar Kavram

Reverse Percentage and Percentage Increase
Soru 4767Soru →

Arrange the following mathematical values related to factors, multiples, and primes in ascending order (from least to greatest).

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct ascending sequence is: the total number of positive factors of 120 (16), followed by the sum of the distinct prime factors of 330 (21), followed by the GCF of 84 and 140 (28), and finally the LCM of 2, 3, 4, and 5 (60).
Evaluating each statement yields the numerical values 1616, 2121, 2828, and 6060. Arranging these from least to greatest gives the correct order: Factor count of 120120 (16), Prime sum of 330330 (21), GCF of 8484 and 140140 (28), and LCM of 2,3,4,2, 3, 4, and 55 (60).

Adım Adım Çözüm

1
Calculate the total number of positive factors of 120120.
1616
By finding the prime factorization (120=23×31×51120 = 2^3 \times 3^1 \times 5^1) and adding 11 to each exponent before multiplying them, we get (3+1)×(1+1)×(1+1)=4×2×2=16(3+1) \times (1+1) \times (1+1) = 4 \times 2 \times 2 = 16.
2
Calculate the sum of the distinct prime factors of 330330.
2121
The prime factorization is 330=33×10=3×11×2×5330 = 33 \times 10 = 3 \times 11 \times 2 \times 5. The distinct primes are 2,3,5,2, 3, 5, and 1111. Their sum is 2+3+5+11=212 + 3 + 5 + 11 = 21.
3
Determine the greatest common factor (GCF) of 8484 and 140140.
2828
Using prime factorizations (84=22×3×784 = 2^2 \times 3 \times 7 and 140=22×5×7140 = 2^2 \times 5 \times 7), the common prime factors are 222^2 and 77. Multiplying these yields 4×7=284 \times 7 = 28.
4
Determine the least common multiple (LCM) of 2,3,4,2, 3, 4, and 55.
6060
The LCM must include the highest power of each prime factor present in the numbers: 222^2 (from 44), 313^1, and 515^1. 4×3×5=604 \times 3 \times 5 = 60.
5
Order the evaluated results from least to greatest.
16<21<28<6016 < 21 < 28 < 60
Sorting the calculated values provides the final correct arrangement of the mathematical statements.

Anahtar Kavram

Applying Prime Factorization to Calculate Factor Counts, GCF, and LCM

Alternatif Yöntem

Instead of full prime factorization for the GCF, the Euclidean algorithm can be used: 140−84=56140 - 84 = 56. Next, 84−56=2884 - 56 = 28. Next, 56−28=2856 - 28 = 28. The GCF is 2828.
Tahmini Süre:2m 30s
Soru 4768Soru →

If 15%15\% of yy is equal to 25%25\% of 180180, what is the value of yy?

Cevabı ve açıklamayı göster

Cevap: 300

Cevap

The correct value of yy is 300300.
The wording translates to the algebraic equation 0.15y=0.25×1800.15y = 0.25 \times 180. First, evaluate the right side: 25%25\% of 180180 is 4545. The equation simplifies to 0.15y=450.15y = 45. To find the value of yy, divide 4545 by 0.150.15, which yields 300300.

Adım Adım Çözüm

1
Translate the problem statement into an algebraic equation.
0.15y=0.25×1800.15y = 0.25 \times 180
'15%15\% of yy' translates to 0.15y0.15y, and '25%25\% of 180180' translates to 0.25×1800.25 \times 180.
2
Calculate 25%25\% of 180180.
0.25×180=450.25 \times 180 = 45
Simplifying the right side of the equation makes it easier to isolate the variable.
3
Solve for yy by dividing both sides by 0.150.15.
y=450.15=300y = \frac{45}{0.15} = 300
Dividing by the coefficient of yy isolates the variable and provides the final answer.

Anahtar Kavram

Finding an unknown base using algebraic translation of percentage equations.
Soru 4769Soru →

Read the following technical briefing:

During winter flight operations, ground crews apply specialized deicing and anti-icing fluids to ensure aerodynamic safety. Type I deicing fluid, applied heated to melt accumulated snow, provides a maximum holdover protection time of 15 minutes in light freezing drizzle. For prolonged ground delays in freezing precipitation, crews apply Type II fluid, which maintains an effective holdover duration of 45 minutes. For severe winter conditions with heavy freezing rain, advanced Type IV fluid is utilized, delivering up to 80 minutes of surface protection. Meanwhile, standard Type III fluid is reserved for commuter aircraft with rotation speeds below 100 knots.

Based on the technical briefing above, match each aircraft fluid type with its correct operational quantitative specification.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Type I fluid
Type II fluid
Type III fluid
Type IV fluid

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

Type I fluid matches 15 minutes maximum holdover protection; Type II fluid matches 45 minutes effective holdover duration; Type III fluid matches rotation speeds below 100 knots; Type IV fluid matches up to 80 minutes of surface protection.
Each fluid type is matched strictly to its explicitly stated metric in the passage: Type I is given as 15 minutes, Type II as 45 minutes, Type III as under 100 knots rotation speed, and Type IV as up to 80 minutes.

Adım Adım Çözüm

1
Locate the quantitative value associated with Type I fluid in the stimulus.
Identified '15 minutes' as the holdover protection time for Type I fluid.
Direct factual extraction of the first quantitative specification.
2
Locate the quantitative duration tied to Type II fluid.
Identified '45 minutes' as the holdover duration for Type II fluid.
Direct factual extraction of the second quantitative specification.
3
Locate the operating constraint stated for Type III fluid.
Identified 'rotation speeds below 100 knots' as the criterion for Type III fluid.
Distinguishing between time durations and operational speed thresholds.
4
Locate the maximum protection duration specified for Type IV fluid.
Identified '80 minutes' as the duration for Type IV fluid.
Direct factual extraction of the final quantitative specification.

Anahtar Kavram

Quantitative Detail Extraction from Technical Text
Tahmini Süre:1m 0s
Soru 4770Soru →

The Heavy Expanded Mobility Tactical Truck (HEMTT) M978 tanker is designed to transport and dispense bulk petroleum products in tactical environments. The vehicle features a baffled stainless-steel tank with a total capacity of 2,500 gallons. Its onboard centrifugal dispensing system delivers fuel at a maximum rate of 300 gallons per minute when refueling two vehicles simultaneously, but regulates flow to 150 gallons per minute when operating a single discharge hose. Technicians must monitor line pressure to ensure it maintains a minimum of 35 pounds per square inch during standard transfer operations.

According to the passage, what is the maximum dispensing rate when fuel is delivered through a single discharge hose?

Cevabı ve açıklamayı göster

Cevap: 150 gallons per minute

Cevap

150 gallons per minute
The passage explicitly states that the onboard system regulates fuel delivery to 150 gallons per minute when operating through a single discharge hose.

Adım Adım Çözüm

1
Identify the target condition in the prompt.
The prompt asks for the maximum dispensing rate specifically when using a single discharge hose.
Clarifying the specific qualifying condition prevents confusing multiple numerical figures presented in the text.
2
Scan the passage for the sentence detailing single hose operations.
The text states that the system 'regulates flow to 150 gallons per minute when operating a single discharge hose.'
Extracting the exact quantitative value tied to the matching qualifying phrase ensures factual accuracy.

Anahtar Kavram

Quantitative Detail Extraction
Tahmini Süre:1m 0s
Soru 4771Soru →

During expeditionary base setup, environmental engineers must routinely test the effluent, or discharged liquid waste, emerging from tactical water treatment units. If primary filtration stages malfunction, chemical pollutants can seep directly into local streams, contaminating natural reservoirs and jeopardizing regional water safety.

Based on the context clues in the passage, what is the meaning of the word "effluent"?

Cevabı ve açıklamayı göster

Cevap: Discharged liquid waste

Cevap

Discharged liquid waste
The passage uses a direct synonymous clue structured as an appositive: 'the effluent, or discharged liquid waste'. The word 'or' introduces a restatement that directly defines 'effluent' as discharged liquid waste.

Adım Adım Çözüm

1
Locate the target word in the passage.
The word "effluent" appears in the first sentence: '...test the effluent, or discharged liquid waste, emerging...'
Identifying the sentence structure surrounding the target word reveals any immediate explanatory phrases.
2
Identify the punctuation and synonymous clue mechanism.
The word is immediately followed by a comma and the coordinating explanatory phrase 'or discharged liquid waste'.
The conjunction 'or' set off by commas acts as a direct appositive providing an exact synonym for the unfamiliar term.
3
Match the identified synonymous clue to the correct option.
The phrase 'Discharged liquid waste' precisely mirrors the textual restatement.
The correct answer must reflect the explicit definition embedded in the passage without distortion.

Anahtar Kavram

Identifying Synonymous Context Clues via Appositives
Tahmini Süre:1m 0s
Soru 4772Soru →

During high-speed milling of aluminum alloy components, friction between the cutting tool and the workpiece causes the metal to expand significantly. Computer-guided milling machines are calibrated to cut workpieces strictly to specified target dimensions based on the instantaneous physical size of the material. Continuous liquid coolant is applied during milling to maintain the workpiece at ambient room temperature throughout the cutting operation.

Based on the passage, which of the following conclusions is most logically supported if an aluminum part is machined without coolant?

Cevabı ve açıklamayı göster

Cevap: The finished workpiece will measure smaller than the specified target dimensions after cooling to ambient temperature.

Cevap

The finished workpiece will measure smaller than the specified target dimensions after cooling to ambient temperature.
The passage indicates that friction causes aluminum to expand during machining and that the machine cuts the part to target dimensions based on its instantaneous expanded size. When the coolant is absent, the part is cut while enlarged; once it cools to room temperature, the metal contracts, resulting in final dimensions that are smaller than specified.

Adım Adım Çözüm

1
Identify the conditions during uncooled machining
Without coolant, friction causes the aluminum workpiece to expand while being cut.
The passage establishes that coolant is the sole mechanism maintaining the part at ambient temperature to prevent thermal expansion.
2
Analyze how the machine cuts the expanded part
The machine removes material until the expanded part matches the target dimensions.
The machine operates strictly based on the instantaneous size of the workpiece.
3
Deduce the physical outcome after cooling
The part shrinks as it returns to ambient temperature, making it undersized.
Cutting away material from an expanded object means that subsequent thermal contraction reduces the final size below the target threshold.

Anahtar Kavram

Drawing a logical conclusion by synthesizing cause-and-effect relationships and physical constraints described in a technical text.
Tahmini Süre:1m 0s
Soru 4773Soru →

A custom mathematical operation is defined for all integers such that a⋆b=∣a−b∣−(a×b)a \star b = |a - b| - (a \times b). If aa represents the largest negative integer and bb represents the smallest prime number, what is the value of the expression a⋆ba \star b?

Cevabı ve açıklamayı göster

Cevap: 5

Cevap

5
The correct value is 5. First, identify the specific integers based on their definitions: the largest negative integer is -1 (so a = -1), and the smallest prime number is 2 (so b = 2). Substituting these values into the given operation yields |-1 - 2| - (-1 \times 2). Evaluate the grouping inside the absolute value first: |-1 - 2| = |-3| = 3. Next, evaluate the multiplication: -1 \times 2 = -2. Finally, subtract the product from the absolute value result: 3 - (-2), which simplifies to 3 + 2 = 5.

Adım Adım Çözüm

1
Identify the numerical values of the integers a and b based on their mathematical properties.
a = -1 and b = 2
The largest negative integer is -1 (as it is closest to zero on the negative side), and the smallest prime number is 2 (the only even prime).
2
Substitute the values of a and b into the custom operation expression.
|-1 - 2| - (-1 \times 2)
Direct substitution is required to evaluate a \star b.
3
Simplify the arithmetic inside the absolute value brackets.
∣−3∣−(−1×2)|-3| - (-1 \times 2)
According to the order of operations, operations inside grouping symbols must be completed first.
4
Evaluate the absolute value and perform the multiplication.
3 - (-2)
The absolute value of -3 is 3 (distance from zero is always positive), and multiplying -1 by 2 yields -2.
5
Perform the final subtraction operation.
5
Subtracting a negative number is mathematically equivalent to adding a positive number: 3 + 2 = 5.

Anahtar Kavram

Applying fundamental integer definitions (prime numbers, negative bounds) alongside absolute value rules and the order of operations.
Soru 4774Soru →

Match each unsimplified algebraic expression on the left with its correctly simplified polynomial equivalent on the right.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

3x(2x−4)−2(x2−5x)3x(2x - 4) - 2(x^2 - 5x)
5(x2−3x+2)−4x(x−2)5(x^2 - 3x + 2) - 4x(x - 2)
−2x(3x+1)+x(5x−4)-2x(3x + 1) + x(5x - 4)
4(2x2−x)−3(x2+2x−1)4(2x^2 - x) - 3(x^2 + 2x - 1)

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

The correct pairings link each unsimplified expression with its resulting simplified polynomial after applying the distributive property and combining like terms.
Each unsimplified expression is accurately paired with its simplified equivalent by first applying the distributive property to eliminate all parentheses, rigorously managing negative multipliers, and finally grouping and combining all like terms according to their respective exponents.

Adım Adım Çözüm

1
Expand and simplify the first expression.
6x2−12x−2x2+10x6x^2 - 12x - 2x^2 + 10x, which simplifies to 4x2−2x4x^2 - 2x.
Applying the distributive property and combining the x2x^2 terms and the xx terms.
2
Expand and simplify the second expression.
5x2−15x+10−4x2+8x5x^2 - 15x + 10 - 4x^2 + 8x, which simplifies to x2−7x+10x^2 - 7x + 10.
Distributing the constants and variables across parentheses, paying special attention to the negative signs.
3
Expand and simplify the third expression.
−6x2−2x+5x2−4x-6x^2 - 2x + 5x^2 - 4x, which simplifies to −x2−6x-x^2 - 6x.
Multiplying each term inside the parentheses by the outside factor and combining the resulting like terms.
4
Expand and simplify the fourth expression.
8x2−4x−3x2−6x+38x^2 - 4x - 3x^2 - 6x + 3, which simplifies to 5x2−10x+35x^2 - 10x + 3.
Distributing the −3-3 correctly reverses the signs of all terms within the second polynomial.

Anahtar Kavram

Simplifying Algebraic Expressions
Soru 4775Soru →

Evaluate the algebraic expression below given that x=−4x = -4, y=−2y = -2, and z=−3z = -3:

x3−y2(x−z)∣x∣−z2 \frac{x^3 - y^2(x - z)}{|x| - z^2}

Calculate the intermediate values and the final result to complete the statements.

Aşağıdaki boşlukları doldurun

The value of the numerator is .
The value of the denominator is
.
The final evaluated result of the expression is
.
Cevabı ve açıklamayı göster

Cevap

The numerator evaluates to -60, the denominator evaluates to -5, and the final evaluated result of the expression is 12.
By strictly adhering to the order of operations and properly handling negative substitutions, the numerator simplifies to -60 and the denominator simplifies to -5. Dividing these yields a final positive integer result of 12.

Adım Adım Çözüm

1
Substitute the given values for xx, yy, and zz into the expression.
(−4)3−(−2)2(−4−(−3))∣−4∣−(−3)2 \frac{(-4)^3 - (-2)^2(-4 - (-3))}{|-4| - (-3)^2}
Direct substitution is the required first step before performing any operations.
2
Evaluate the exponents in the numerator and denominator.
Numerator exponents: (−4)3=−64(-4)^3 = -64 and (−2)2=4(-2)^2 = 4. Denominator exponent: (−3)2=9(-3)^2 = 9.
Following the order of operations, exponents must be evaluated before multiplication and subtraction.
3
Evaluate the expression inside the parentheses in the numerator and the absolute value in the denominator.
Numerator parentheses: (−4−(−3))=(−4+3)=−1(-4 - (-3)) = (-4 + 3) = -1. Denominator absolute value: ∣−4∣=4|-4| = 4.
Operations inside grouping symbols and absolute value operations take precedence.
4
Perform the remaining multiplication in the numerator, then subtract to find the final numerator value.
−64−(4)(−1)=−64−(−4)=−64+4=−60-64 - (4)(-1) = -64 - (-4) = -64 + 4 = -60. (Value for blank 1)
Multiplication is performed before addition or subtraction according to the order of operations.
5
Perform the subtraction in the denominator.
4−9=−54 - 9 = -5. (Value for blank 2)
This fully simplifies the expression in the denominator.
6
Divide the fully simplified numerator by the simplified denominator.
−60−5=12 \frac{-60}{-5} = 12 . (Value for blank 3)
The fraction bar represents division, which is the final operation applied to the evaluated top and bottom terms.

Anahtar Kavram

Evaluating Complex Algebraic Expressions
Soru 4776Soru →

Read the following technical passage:

Combat vehicles utilize automated fire suppression systems to protect crew compartments from explosive penetrations. When optical sensors detect the characteristic ultraviolet radiation of an internal hydrocarbon fireball within five milliseconds, the control module triggers rapid-acting squib valves. These valves instantly discharge heptafluoropropane agent into the cabin, suppressing the thermal event before toxic gas thresholds are breached. To prevent accidental discharges during workshop servicing, technicians must physically insert a mechanical safety pin into the primary discharge initiator before disconnecting any wiring harnesses.

Based on the passage, complete the statement with the exact detail directly stated in the text:

Aşağıdaki boşlukları doldurun

To prevent accidental discharges during workshop servicing, technicians must physically insert a into the primary discharge initiator before disconnecting any wiring harnesses.
Cevabı ve açıklamayı göster

Cevap

mechanical safety pin
The text explicitly states that technicians must physically insert a mechanical safety pin into the primary discharge initiator to prevent accidental discharges during workshop servicing.

Adım Adım Çözüm

1
Scan the passage for the specific condition regarding workshop servicing and accidental discharge prevention.
Located the final sentence: 'To prevent accidental discharges during workshop servicing, technicians must physically insert a mechanical safety pin into the primary discharge initiator before disconnecting any wiring harnesses.'
Direct fact retrieval requires locating the exact sentence that discusses the targeted condition.
2
Extract the specific component required to be inserted.
'mechanical safety pin'
The text directly names the mechanical safety pin as the physical item required to safe the initiator.

Anahtar Kavram

Direct Fact Retrieval
Soru 4777Soru →

Read the following technical passage about industrial refrigeration systems and complete the concluding statement with the appropriate term based on the facts provided.

Aşağıdaki boşlukları doldurun

Industrial ammonia refrigeration systems rely on an oil separator located immediately downstream of the compressor to capture lubricating oil before it reaches the condenser. Unlike synthetic halocarbon refrigerants, ammonia does not dissolve or mix with oil. Any oil that bypasses the separator travels directly into the low-temperature evaporator coils, where it coats the internal metal tubing. Because refrigeration oil has a significantly lower thermal conductivity than metal tubing, the accumulation of an internal oil layer will cause the evaporator's heat transfer rate to .
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Cevap

decrease (or drop / decline / diminish / fall / reduce)
The passage establishes that oil coats the evaporator pipes and that oil has a much lower thermal conductivity than metal. When a low-conductivity substance lines a heat exchanger, it acts as an insulator, which logically forces the overall heat transfer rate to decrease.

Adım Adım Çözüm

1
Identify the physical premise stated in the passage
Oil that bypasses the separator coats the inside of metal evaporator tubing, and oil has a significantly lower thermal conductivity than metal.
Establishing the functional properties of the materials provides the basis for logical deduction.
2
Analyze the thermal mechanism described
An internal layer of low-conductivity material acts as thermal insulation, resisting heat flow through the pipe walls.
Lower thermal conductivity directly impedes the transfer of heat from the surrounding environment into the refrigerant.
3
Synthesize the facts to deduce the only supported logical conclusion
Because heat flow is impeded by the insulating oil layer, the rate of heat transfer across the evaporator must decrease.
A decrease in conductive efficiency is the necessary physical consequence of adding an insulating boundary layer.

Anahtar Kavram

Drawing logical deductions from synthesized technical constraints and physical properties
Tahmini Süre:1m 0s
Soru 4778Soru →

A construction battalion is preparing a specialized concrete mix. The ratio of cement to sand by weight is 2:52:5, and the ratio of sand to gravel is 3:43:4. If the battalion needs to prepare exactly 3,2803,280 pounds of this concrete mix, how many pounds of gravel are required?

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Cevap: 1600; 1,600; 1600 pounds; 1,600 pounds; 1600 lbs; 1,600 lbs

Cevap

1600 pounds
By converting the separate part-to-part ratios (2:52:5 and 3:43:4) into a single continuous ratio (6:15:206:15:20), we determine that gravel accounts for 2020 out of the 4141 total parts. Multiplying the total weight (3,2803,280) by the fraction 2041\frac{20}{41} yields exactly 1,6001,600 pounds.

Adım Adım Çözüm

1
Determine the combined continuous ratio of cement, sand, and gravel.
Cement:Sand:Gravel = 6:15:206:15:20
Since sand is the common element, find the least common multiple of its ratio shares (55 and 33), which is 1515. Multiply the first ratio by 33 and the second by 55 to align them.
2
Calculate the total number of parts in the combined ratio.
6+15+20=416 + 15 + 20 = 41 parts
To find the fraction of the total mix each part represents, all ratio parts must be summed.
3
Determine the weight of a single part.
3,280÷41=803,280 \div 41 = 80 pounds per part
Divide the total weight by the total number of parts.
4
Calculate the total weight of the gravel.
20×80=1,60020 \times 80 = 1,600 pounds
Multiply the weight of one part by the number of parts of gravel in the combined ratio.

Anahtar Kavram

Combined Ratios and Part-to-Whole Relationships

Alternatif Yöntem

You can also use algebra by setting the multiplier for the first ratio as xx. Cement = 2x2x and sand = 5x5x. Since the ratio of sand to gravel is 3:43:4, gravel must be 43\frac{4}{3} of sand, which is 203x\frac{20}{3}x. The total is 2x+5x+203x=413x=3,2802x + 5x + \frac{20}{3}x = \frac{41}{3}x = 3,280. Solving for xx gives 240240. Gravel is 203(240)=1,600\frac{20}{3}(240) = 1,600.
Tahmini Süre:1m 30s
Soru 4779Soru →

During scheduled maintenance on the airfield Mobile Aircraft Arresting System (MAAS), technicians inspect the energy absorber brakes. The primary hydraulic retractor operates at an operating pressure of 1,850 PSI, while the brake accumulator must be pre-charged with dry nitrogen to 450 PSI. During routine proof-testing, the maximum allowable surge pressure is 2,200 PSI, and complete fluid replacement is mandated every 36 months.

According to the passage, what is the required dry nitrogen pre-charge pressure, in PSI, for the brake accumulator?

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Cevap: 450

Cevap

450 PSI
The passage explicitly states that 'the brake accumulator must be pre-charged with dry nitrogen to 450 PSI.' Thus, 450 is the exact required value.

Adım Adım Çözüm

1
Scan the passage to locate the specific component and parameter in question.
Located the phrase: 'the brake accumulator must be pre-charged with dry nitrogen to 450 PSI.'
Isolating the target component ensures that the quantity extracted is not confused with adjacent technical specifications.
2
Extract the exact numerical figure associated with the accumulator pre-charge.
450 PSI
The passage directly links 450 PSI to the dry nitrogen pre-charge requirement for the accumulator.

Anahtar Kavram

Extracting specific numerical values linked to distinct technical components from an informational passage
Tahmini Süre:1m 0s
Soru 4780Soru →

Read the passage below. Based on the synonymous context clue provided in the text, complete the statement with the single-word synonym that directly clarifies the target term.

Aşağıdaki boşlukları doldurun

During prolonged arctic survival training, personnel must regularly inspect their cold-weather bivouac shelters for structural weaknesses. Heavy blizzard winds and sudden temperature drops place immense stress on temporary fabric enclosures. Instructors emphasize that building an adequate shelter is an arduous—that is, strenuous—task requiring teamwork, precision, and sustained effort. Overcoming this exhausting challenge ensures that service members stay protected from frostbite and hypothermia throughout the mission.

In the passage, the synonymous context clue that directly defines the word "arduous" is
.
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Cevap

strenuous (or exhausting)
The author directly clarifies the meaning of 'arduous' by inserting an appositive restatement enclosed by dashes ('that is, strenuous'). Additionally, the subsequent sentence reinforces this meaning by referring to the task as an 'exhausting challenge'. Therefore, 'strenuous' (or 'exhausting') is the direct contextual synonym.

Adım Adım Çözüm

1
Locate the target vocabulary word within the passage text.
The word "arduous" is identified in the third sentence: "...an arduous—that is, strenuous—task...".
Identifying the target word's immediate syntactic environment allows for locating punctuation or transition markers signaling a definition.
2
Examine the surrounding punctuation and appositive structure for synonymous restatements.
The target word is immediately followed by em-dashes setting off the clarifying restatement "that is, strenuous".
Phrases introduced by "that is" or enclosed in dashes serve as explicit synonymous context clues that define unfamiliar words.
3
Extract the synonymous word that completes the blank statement.
"strenuous" (or the later reinforcement "exhausting") directly defines "arduous".
The blank specifically requires the textual synonym provided by the author to explain the difficulty of the task.

Anahtar Kavram

Identifying Synonymous Context Clues via Restatement Markers
Tahmini Süre:1m 0s
ÖncekiSayfa 239 / 261Sonraki
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