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Questions and Answers
How many milligrams of the drug should be given to a person weighing 150.0 lb, with a dosage of 1.50 mg per kilogram?
How many milligrams of the drug should be given to a person weighing 150.0 lb, with a dosage of 1.50 mg per kilogram?
- 108 mg
- 102 mg
- 112 mg (correct)
- 115 mg
What is the mass of the monolith in pounds given its dimensions of 1.5 m, 5.2 m, and 13 m?
What is the mass of the monolith in pounds given its dimensions of 1.5 m, 5.2 m, and 13 m?
- 5.9 x 10^5 lb
- 6.1 x 10^5 lb
- 6.3 x 10^5 lb (correct)
- 6.5 x 10^5 lb
How many dump-truck loads will it take to transport the dirt if the hole dimensions are 40 feet wide, 50 feet long, and 7.5 feet deep?
How many dump-truck loads will it take to transport the dirt if the hole dimensions are 40 feet wide, 50 feet long, and 7.5 feet deep?
- 89 dump-truck loads (correct)
- 95 dump-truck loads
- 99 dump-truck loads
- 101 dump-truck loads
If the correct dosage of a drug for a 150.0 lb person is 1.50 mg/kg, how many kilograms does the person weigh?
If the correct dosage of a drug for a 150.0 lb person is 1.50 mg/kg, how many kilograms does the person weigh?
Given the mass of the monolith must be calculated, what aspect is primarily relied upon?
Given the mass of the monolith must be calculated, what aspect is primarily relied upon?
If one truck can carry only 8,000 kg, what must be determined before calculating the number of trips required?
If one truck can carry only 8,000 kg, what must be determined before calculating the number of trips required?
What is the volume of dirt scooped if the excavator gathers 1.00 kg with a recorded volume of 600 cm³?
What is the volume of dirt scooped if the excavator gathers 1.00 kg with a recorded volume of 600 cm³?
How does the conversion of mass from grams to pounds impact calculations in dimensional analysis?
How does the conversion of mass from grams to pounds impact calculations in dimensional analysis?
What is the mass of iron required to cover a football field of 120 yds by 60 yds to a depth of 1.0 mm?
What is the mass of iron required to cover a football field of 120 yds by 60 yds to a depth of 1.0 mm?
What is the correct answer to the expression $5.80 x 10^{-1} - 3.4 x 10^{-2}$ with the appropriate significant figures?
What is the correct answer to the expression $5.80 x 10^{-1} - 3.4 x 10^{-2}$ with the appropriate significant figures?
How many kilograms of CO2 are emitted into the atmosphere each day by cars in the U.S.?
How many kilograms of CO2 are emitted into the atmosphere each day by cars in the U.S.?
How many cubic centimeters of ore must be processed to obtain $100.00 worth of gold if the ore is 0.22% gold by mass?
How many cubic centimeters of ore must be processed to obtain $100.00 worth of gold if the ore is 0.22% gold by mass?
When dividing $4.5 x 10^{14}$ by $8.3 x 10^{8}$, what is the correct answer considering significant figures?
When dividing $4.5 x 10^{14}$ by $8.3 x 10^{8}$, what is the correct answer considering significant figures?
How many minutes does it take for a radio message to reach Earth from Saturn if Saturn is 7.9 108 km away?
How many minutes does it take for a radio message to reach Earth from Saturn if Saturn is 7.9 108 km away?
What is the result of the multiplication $6.2 x 10^{-13} * 5.68 x 10^{8}$ with the correct significant figures?
What is the result of the multiplication $6.2 x 10^{-13} * 5.68 x 10^{8}$ with the correct significant figures?
What is the decimal format of $2.340 x 10^{-4}$?
What is the decimal format of $2.340 x 10^{-4}$?
What is the weight of one gallon of gasoline in kilograms?
What is the weight of one gallon of gasoline in kilograms?
Convert $4.5 x 10^{4}$ to its decimal representation.
Convert $4.5 x 10^{4}$ to its decimal representation.
If the density of gold is 19.32 g/cm³, how much mass in grams does 1 cm³ of gold weigh?
If the density of gold is 19.32 g/cm³, how much mass in grams does 1 cm³ of gold weigh?
What volume in cubic centimeters would contain 0.1 kg of a substance with a density of 1.2 g/cm³?
What volume in cubic centimeters would contain 0.1 kg of a substance with a density of 1.2 g/cm³?
If you convert $5.00 x 10^{2}$ milliliters to quarts, what would be the correct value?
If you convert $5.00 x 10^{2}$ milliliters to quarts, what would be the correct value?
What is the conversion factor from pounds to grams?
What is the conversion factor from pounds to grams?
What is the result of the addition $3.4 x 10^{-2} + 5.80 x 10^{-1}$ to the correct number of significant figures?
What is the result of the addition $3.4 x 10^{-2} + 5.80 x 10^{-1}$ to the correct number of significant figures?
Calculate the result of $6.2 x 10^{-13} / 5.68 x 10^{8}$ while considering significant figures.
Calculate the result of $6.2 x 10^{-13} / 5.68 x 10^{8}$ while considering significant figures.
What is the correct result for the operation $(3.45 ext{ m} + 2.78 ext{ m}) / 565 ext{ s}$ in terms of significant figures and units?
What is the correct result for the operation $(3.45 ext{ m} + 2.78 ext{ m}) / 565 ext{ s}$ in terms of significant figures and units?
Determine the correct significant figures and units for the calculation $(5.62 ext{ cm} - 0.45 ext{ cm}) / 342 ext{ s}$.
Determine the correct significant figures and units for the calculation $(5.62 ext{ cm} - 0.45 ext{ cm}) / 342 ext{ s}$.
What is the total distance in kilometers for a triathlon that includes a 2.0 mile swim, an 85.5 mile bike ride, and a 15.0 mile run?
What is the total distance in kilometers for a triathlon that includes a 2.0 mile swim, an 85.5 mile bike ride, and a 15.0 mile run?
If a cyclist averages 18.5 miles per hour, how many minutes will it take him to complete a 125 kilometer race?
If a cyclist averages 18.5 miles per hour, how many minutes will it take him to complete a 125 kilometer race?
A runner who averages 8 minutes and 25 seconds per mile has what average velocity in miles per hour?
A runner who averages 8 minutes and 25 seconds per mile has what average velocity in miles per hour?
How is the measurement of $(3.45 ext{ m} + 2.78 ext{ m}) / 565 ext{ s}$ represented in scientific notation with correct significant figures?
How is the measurement of $(3.45 ext{ m} + 2.78 ext{ m}) / 565 ext{ s}$ represented in scientific notation with correct significant figures?
What is the result of the calculation $(5.62 ext{ cm} - 0.45 ext{ cm}) / 342 ext{ s}$ with appropriate significant figures?
What is the result of the calculation $(5.62 ext{ cm} - 0.45 ext{ cm}) / 342 ext{ s}$ with appropriate significant figures?
For a long triathlon totaling a swim, bike, and run, what total distance in kilometers corresponds with a 2.0 mile swim, an 85.5 mile bike ride, and a 15.0 mile run?
For a long triathlon totaling a swim, bike, and run, what total distance in kilometers corresponds with a 2.0 mile swim, an 85.5 mile bike ride, and a 15.0 mile run?
What is the volume of 1,600 cm³ expressed in cubic inches?
What is the volume of 1,600 cm³ expressed in cubic inches?
What is the density of the investor's chunk of gold if the mass is 440 g and the volume is 25.0 mL?
What is the density of the investor's chunk of gold if the mass is 440 g and the volume is 25.0 mL?
How many cubic meters of concrete are needed for each piling if each requires 20.0 cubic yards?
How many cubic meters of concrete are needed for each piling if each requires 20.0 cubic yards?
What is the price per ounce of the soft drink can if it costs 75 cents for a 12-oz can?
What is the price per ounce of the soft drink can if it costs 75 cents for a 12-oz can?
How much more expensive per volume is the 12-oz can compared to the two-liter bottle costing $1.25?
How much more expensive per volume is the 12-oz can compared to the two-liter bottle costing $1.25?
What is the conversion factor used to convert cubic yards to cubic meters?
What is the conversion factor used to convert cubic yards to cubic meters?
What is the volume in liters of a 12-oz can of soft drink?
What is the volume in liters of a 12-oz can of soft drink?
What would be the density of pure gold if its density is known to be 19.3 g/cm³?
What would be the density of pure gold if its density is known to be 19.3 g/cm³?
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Study Notes
Significant Figures and Scientific Notation
- Significant figures indicate precision in measurements; calculations must preserve the appropriate number of significant figures.
- Example calculations for significant figures provided varied problems:
- Subtraction: 5.80 x 10^-1 - 3.4 x 10^-2
- Division: 4.5 x 10^14 / 8.3 x 10^8
- Multiplication: 6.2 x 10^-13 x 5.68 x 10^8
Conversion to Decimal Format
- Scientific notation can be converted into decimal form for clarity:
- 2.340 x 10^-4 = 0.000234
- 4.5 x 10^4 = 45,000
Unit Conversions
- Unit conversion often requires understanding different metric and US customary units:
- Conversion of milliliters to quarts using 1 L = 1.06 qt.
Applications of Measurement
- Important to express calculations with correct units and significant figures:
- Calculations involving addition and division yield results in specific units (e.g., m/s or m²/s).
Distance and Speed Calculations
- A long-distance triathlon consists of swim, bike, and run segments, with a total distance conversion involved to kilometers.
- Cyclist's average speed calculation in miles per hour with result in minutes for a 125 km race highlights the use of unit conversion.
Density and Mass Calculations
- Iron's density given as 7.87 g/cm³, the volume calculation for covering a football field in lbs needed to calculate mass required.
- Density used in practical scenarios, such as determining the density of a chunk of gold from the observed volume displaced.
Dimensional Analysis
- Important method to convert between units:
- American measurements converted to metric for construction projects (cubic yards to cubic meters).
Economic Comparisons
- Cost analysis of food products, such as soft drinks, where the unit price is compared between different volumes to determine relative expense.
Dosage Calculations
- Drug dosage must be calculated based on body weight with conversion needed for weight units (lb to kg).
Volume and Weight Estimation
- Estimating the weight of a large rock object by using measured volume and density:
- Example dimensions and methods to compute total mass in pounds from calculated volume.
Excavation Workload Estimation
- Estimating the number of loads needed for dirt removal based on weight capacity of dump trucks, after measuring volume and weight of removed dirt.
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