Podcast
Questions and Answers
What is the square root of 1746?
What is the square root of 1746?
- 41.7752
- 42.0001
- 41.7852 (correct)
- 40.7742
Which option represents a number in scientific notation?
Which option represents a number in scientific notation?
- 34,700 = 3.47 x 10^4
- 3.47 x 10^4 = 34,700 (correct)
- Both options 2 and 3
- 2(410) = 2,097,152
What is the value of 10 raised to the negative sixth power?
What is the value of 10 raised to the negative sixth power?
- 0.0000001
- 0.0001
- 0.000001 (correct)
- 0.000010
What is the grip length of the aircraft bolt described?
What is the grip length of the aircraft bolt described?
Sixty-five engines represent what percent of 80 engines?
Sixty-five engines represent what percent of 80 engines?
Select the fraction which is equal to 0.0250.
Select the fraction which is equal to 0.0250.
What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?
What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?
What is the ratio of 10 feet to 30 inches?
What is the ratio of 10 feet to 30 inches?
What horsepower would be developed at 65 percent power if an engine develops 108 horsepower at 87 percent power?
What horsepower would be developed at 65 percent power if an engine develops 108 horsepower at 87 percent power?
Solve the equation: 4-3[-6(2+3)+4] = ?
Solve the equation: 4-3[-6(2+3)+4] = ?
Which of these options is equal to 5.59?
Which of these options is equal to 5.59?
What is the area of a trapezoid with a height of 9, base of 5, and top of 12?
What is the area of a trapezoid with a height of 9, base of 5, and top of 12?
What is the result of 3.47 x 10 to the negative fourth power?
What is the result of 3.47 x 10 to the negative fourth power?
Which decimal is most nearly equal to 77/64?
Which decimal is most nearly equal to 77/64?
What is the square root of 16 raised to the fourth power?
What is the square root of 16 raised to the fourth power?
What power of 10 is equal to 1,000,000,000?
What power of 10 is equal to 1,000,000,000?
What is the area of a trapezoid with bases measuring 4 inches and 2 inches and a height of 6 inches?
What is the area of a trapezoid with bases measuring 4 inches and 2 inches and a height of 6 inches?
If an airplane flies 750 miles using 60 gallons of gasoline, how many gallons are needed for 2,500 miles?
If an airplane flies 750 miles using 60 gallons of gasoline, how many gallons are needed for 2,500 miles?
What is the piston displacement of a master cylinder with a 1.5 inches diameter bore and a piston stroke of 4 inches?
What is the piston displacement of a master cylinder with a 1.5 inches diameter bore and a piston stroke of 4 inches?
What is the surface area of a cube with a side length of 7.25 inches?
What is the surface area of a cube with a side length of 7.25 inches?
What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14 teeth turning at 420 RPM?
What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14 teeth turning at 420 RPM?
What is the maximum RPM of an engine turning at 1,965 RPM at 65 percent power?
What is the maximum RPM of an engine turning at 1,965 RPM at 65 percent power?
How many cubic feet are in a rectangular-shaped fuel tank measuring 60 inches in length, 30 inches in width, and 12 inches in depth?
How many cubic feet are in a rectangular-shaped fuel tank measuring 60 inches in length, 30 inches in width, and 12 inches in depth?
Flashcards
Square root of 1746
Square root of 1746
Approximately 41.7852, value of the square root.
Scientific notation example
Scientific notation example
3.47 x 10^4 = 34,700, format of expressing large numbers.
Square root of 3722.1835
Square root of 3722.1835
Approximately 61.00971, value of the square root.
Grip length of aircraft bolt
Grip length of aircraft bolt
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Cube of 64
Cube of 64
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Fuel tank volume
Fuel tank volume
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Percentage calculation
Percentage calculation
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Complex equation result
Complex equation result
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Fraction equivalent of 1.21875
Fraction equivalent of 1.21875
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Negative power of ten
Negative power of ten
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Total piston displacement
Total piston displacement
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Billion in scientific notation
Billion in scientific notation
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Trapezoid area calculation
Trapezoid area calculation
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Compression ratio meaning
Compression ratio meaning
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Fuel usage calculation
Fuel usage calculation
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Master cylinder displacement
Master cylinder displacement
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Triangle area formula
Triangle area formula
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Triangle area example
Triangle area example
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Cube surface area
Cube surface area
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Rectangular fuel tank volume
Rectangular fuel tank volume
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Engine RPM and power output
Engine RPM and power output
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Force in hydraulic cylinder
Force in hydraulic cylinder
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Speed ratio of gears
Speed ratio of gears
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Tank volume example
Tank volume example
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Study Notes
Math Problems
- Square root of 1746 is approximately 41.7852.
- Scientific notation is exemplified by 3.47 x 10^4 = 34,700.
- Square root of 3,722.1835 is approximately 61.00971.
- Grip length of an aircraft bolt with given dimensions is 0.5625 inches.
- Cube of 64 equals 262,144.
- A rectangular fuel tank measuring 27.5 inches in length, 0.75 feet in width, and 8.25 inches in depth can hold approximately 8.83 gallons.
- If there are 65 engines out of 80, this represents 81 percent.
- The equation (-35 + 25)(-7) + (π)(16)^2 gives a result of approximately 174.85.
- 1.21875 is equivalent to the fraction 39/32.
- The value of 10 raised to the negative sixth power is 0.000001.
- Total piston displacement of an engine is the total volume displaced by all pistons during one crankshaft revolution.
- 1,000,000,000 is expressed as 10 to the ninth power.
- The area of a trapezoid with bases of 4 inches and 2 inches and a height of 6 inches is 18 square inches.
- Compression ratio is determined to be 6:1 for a cylinder with specified volumes.
- An airplane using 60 gallons for 750 miles will need approximately 200 gallons to travel 2,500 miles.
- The piston displacement of a master cylinder with a 1.5-inch diameter bore and 4-inch stroke is 7.0686 cubic inches.
- Using A = Base * Height / 2, the area of a triangle with base 7.5 inches and height 16.8 inches is 63 square inches.
- The square root of 124.924 is equivalent to 1.118 x 10^-2.
- Area of a triangle with a base of 4 inches and height of 3 inches is 6 square inches.
- Surface area of a cube with a side length of 7.25 inches is 315.375 square inches.
- A rectangular fuel tank measuring 60 inches by 30 inches by 12 inches has a volume of 12.5 cubic feet.
- An engine running at 1,965 RPM with a 65 percent power output has a maximum RPM of 3,023.
- Force on a piston in a hydraulic cylinder measuring 1.2 square inches at 850 PSI results in 1,020 pounds of force.
- Spur gear with 42 teeth driven by a pinion with 14 teeth at 420 RPM has a speed of 140 RPM.
- Volume of a rectangular fuel tank measuring 37.5 inches by 14 inches by 8.25 inches is 59.75 cubic inches.
Multiple Choice
- Fraction equivalent to 0.0250 is 1/400.
- ( 7^3 + \sqrt{39} ) equals approximately 349.24.
- Speed ratio of an input gear with 36 teeth to one with 20 teeth is 9:5.
- ( \frac{7}{8} ) equals 87.5 percent when expressed as a percent.
- ( 16,300 ) can be written as ( 1.63 \times 10^4 ).
- Piston displacement of a four-cylinder engine measuring 3.78 inches bore and 8.5 inches deep is approximately 200 cubic inches.
- The ratio of 10 feet to 30 inches is 4:1.
- The equation (-6[-9(-8+4)-2(7+3)]) equals 216.
- Volume of a cylinder and compression ratio previously calculated demonstrate applied mathematical principles.
Word Problems
- 14-tooth pinion driving a 42-tooth spur gear at 140 RPM indicates the pinion's speed is 420 RPM.
- A container with a volume equal to 60 gallons of fuel is approximately 8.0 cubic feet.
- An engine's dimensions and configurations lead to various calculations relating to engine displacement and efficiency.
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Description
Test your knowledge on various math problems, including finding square roots and understanding scientific notation. This quiz will challenge your numerical skills and your grasp of mathematical concepts. Perfect for students looking to reinforce their math understanding.
