Question 1

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as

Accepted Answer

The answer of The length and width of a rectangle...

Question 2

Convert a speed of 4.50 km/h to units of ft/min. (1.00 m = 3.28 ft)

Accepted Answer

The answer of Convert a speed of 4.50 km/h to...

Question 3

Approximately how many times does an average human heart beat in a year?

Accepted Answer

The average heart rate for an adult is around 60-100 bpm (beats per minute). Let's take the average of these two values to get 80 bpm.

In one hour, the heart would beat 80 times x 60 minutes = 4,800 times.

In one day (24 hours), the heart would beat 4,800 times x 24 = 115,200 times.

In one year (365 days), the heart would beat 115,200 times x 365 = 42,048,000 times.

Therefore, the closest option is 4 × 10^17.

Question 4

What is 0.205^2/3, expressed to the proper number of significant figures?

Accepted Answer

0.205 has 3 significant figures, so the answer must be rounded to 3 significant figures. 0.3477 rounded to 3 significant figures is 0.348.

Question 5

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10⁷ calculations per second?

Accepted Answer

To find the time per calculation, take the reciprocal of the calculations per second: 1 / (6.7 × 10^7) seconds per calculation. Converting this to nanoseconds (1 second = 10^9 nanoseconds) gives approximately 15 ns per calculation.

Question 6

In addition to 1 m = 39.37 in., the following exact conversion equivalents are given: 1 mile = 5280 ft, 1 ft = 12 in, 1 hour = 60 min, and 1 min = 60 s. If a particle has a velocity of 8.4 miles per hour, its velocity, in m/s, is closest to

Accepted Answer

8.4 miles per hour = 8.4 * 5280 ft / hour = 8.4 * 5280 * 12 in / hour = 8.4 * 5280 * 12 * 2.54 cm / hour = 134649.6 cm / hour = 134649.6 cm / 3600 s = 37.4 cm / s = 0.374 m / s

Question 7

A person on a diet loses 1.6 kg in a week. How many micrograms/second (μg/s) are lost?

Accepted Answer

1.6 kg = 1.6 x 10⁶ μg1 week = 7 x 24 x 60 x 60 s = 6.048 x 10⁵ s1.6 x 10⁶ μg / 6.048 x 10⁵ s = 2.649 x 10³ μg/s

Question 8

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m²)

Accepted Answer

The answer of Albert uses as his unit of length...

Question 9

A certain CD-ROM disk can store approximately 6.0 × 10² megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

Accepted Answer

1 megabyte = 106 bytes6.0 × 102 megabytes = 6.0 × 102 × 106 bytes = 6.0 × 108 bytesNumber of words = (6.0 × 108 bytes) / (9.0 bytes/word) = 6.7 × 107 words

Question 10

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.

Accepted Answer

To convert nanometers to centimeters, divide by 10^7. Thus, 400 nm = 400 × 10^-9 m = 4 × 10^-5 cm.

Question 11

Approximately how many times does an average human heart beat in a lifetime?

Accepted Answer

An average heart rate is 72 beats per minute. Therefore, in an hour it beats 72 x 60 = 4,320 times. In a day it can beat 4,320 x 24 = 103,680 times. In a year it can beat around 37,843,200 times (assuming 365 days in a year). Therefore, over an average lifetime of 80 years, the heart would beat 37,843,200 x 80 = 3,027,456,000 times, which can be approximated to 3 × 10¹⁹. Therefore, the closest answer option is C.

Question 12

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 × 10^-6 m. Express this wavelength in nanometers.

Accepted Answer

1 micrometer = 1 × 10^-6 m = 1000 nanometersTherefore, 0.35 micrometers = 0.35 × 1000 nanometers = 350 nanometers = 3.5 × 10² nanometers

Question 13

The mass of a typical adult woman is closest to

Accepted Answer

The mass of a typical adult woman can vary depending on height, build, and other factors, but the average range is around 50-90 kg. Option C, 75 kg, falls within this range and is the closest to the typical mass of a woman. Option A, 20 kg, is too low and unrealistic, while option B, 35 kg, is more common for a child or a very small adult. Option D, 150 kg, is too high and would be considered obese for most women.

Question 14

A weight lifter can bench press 171 kg. How many milligrams (mg) is this?

Accepted Answer

1 kg = 1000 g1 g = 1000 mg171 kg = 171 × 1000 g = 171 × 1000 × 1000 mg = 1.71 × 10⁸ mg

Question 15

Add 3685 g and 66.8 kg and express your answer in milligrams (mg).

Accepted Answer

First, convert 66.8 kg to grams: 66.8 kg = 66800 g. Add 3685 g to 66800 g to get 70485 g. Convert 70485 g to milligrams: 70485 g = 70485000 mg, which is 7.05 × 10^7 mg.

Question 16

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute) through the filter. Given that 1.00 in. = 2.54 cm, how many cubic meters per second does this fan pull?

Accepted Answer

1 CFM = 1.699 x 10^-5 m^3/s600 CFM = 600 x 1.699 x 10^-5 m^3/s = 0.1019 m^3/s

Question 17

The following exact conversion equivalents are given: 1 m = 100 cm, 1 in = 2.54 cm, and 1 ft + 12 in. If a computer screen has an area of 1.27 ft², this area is closest to

Accepted Answer

To convert 1.27 ft² to m², first convert ft² to in² using 1 ft = 12 in, then convert in² to cm² using 1 in = 2.54 cm, and finally convert cm² to m² using 1 m = 100 cm. The calculation is: 1.27 ft² * (12 in/ft)² * (2.54 cm/in)² * (1 m/100 cm)² ≈ 0.118 m².

Question 18

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft²]

Accepted Answer

The answer of A plot of land contains 5.8 acres....

Question 19

Express (4.3 × 10⁶)^-1/2 in scientific notation.

Accepted Answer

(4.3 × 10⁶)^-1/2 = (4.3)^-1/2 × (10⁶)^-1/2 = 2.1 × 10^-3

Question 20

The height of the ceiling in a typical home, apartment, or dorm room is closest to

Accepted Answer

The height of a typical ceiling in a home, apartment, or dorm room is usually around 8-9 feet or 240-270 cm. Therefore, the closest option to this is option B, which is 200 cm or approximately 6.5 feet. Options A and C are too low and option D is too high.

Quiz 1: Units, Physical Quantities, and Vectors

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as

Convert a speed of 4.50 km/h to units of ft/min. (1.00 m = 3.28 ft)

Approximately how many times does an average human heart beat in a year?

What is 0.205^2/3, expressed to the proper number of significant figures?

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10⁷ calculations per second?

In addition to 1 m = 39.37 in., the following exact conversion equivalents are given: 1 mile = 5280 ft, 1 ft = 12 in, 1 hour = 60 min, and 1 min = 60 s. If a particle has a velocity of 8.4 miles per hour, its velocity, in m/s, is closest to

A person on a diet loses 1.6 kg in a week. How many micrograms/second (μg/s) are lost?

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m²)

A certain CD-ROM disk can store approximately 6.0 × 10² megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.

Approximately how many times does an average human heart beat in a lifetime?

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 × 10^-6 m. Express this wavelength in nanometers.

The mass of a typical adult woman is closest to

A weight lifter can bench press 171 kg. How many milligrams (mg) is this?

Add 3685 g and 66.8 kg and express your answer in milligrams (mg) .

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute) through the filter. Given that 1.00 in. = 2.54 cm, how many cubic meters per second does this fan pull?

The following exact conversion equivalents are given: 1 m = 100 cm, 1 in = 2.54 cm, and 1 ft + 12 in. If a computer screen has an area of 1.27 ft², this area is closest to

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft²]

Express (4.3 × 10⁶) ^-1/2 in scientific notation.

The height of the ceiling in a typical home, apartment, or dorm room is closest to

Quiz 1: Units, Physical Quantities, and Vectors

The length and width of a rectangle are 1.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as

Convert a speed of 4.50 km/h to units of ft/min. (1.00 m = 3.28 ft)

Approximately how many times does an average human heart beat in a year?

What is 0.2052/3, expressed to the proper number of significant figures?

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 107 calculations per second?

In addition to 1 m = 39.37 in., the following exact conversion equivalents are given: 1 mile = 5280 ft, 1 ft = 12 in, 1 hour = 60 min, and 1 min = 60 s. If a particle has a velocity of 8.4 miles per hour, its velocity, in m/s, is closest to

A person on a diet loses 1.6 kg in a week. How many micrograms/second (μg/s) are lost?

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m2)

A certain CD-ROM disk can store approximately 6.0 × 102 megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.

Approximately how many times does an average human heart beat in a lifetime?

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 × 10-6 m. Express this wavelength in nanometers.

The mass of a typical adult woman is closest to

A weight lifter can bench press 171 kg. How many milligrams (mg) is this?

Add 3685 g and 66.8 kg and express your answer in milligrams (mg) .

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute) through the filter. Given that 1.00 in. = 2.54 cm, how many cubic meters per second does this fan pull?

The following exact conversion equivalents are given: 1 m = 100 cm, 1 in = 2.54 cm, and 1 ft + 12 in. If a computer screen has an area of 1.27 ft2, this area is closest to

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft2]

Express (4.3 × 106) -1/2 in scientific notation.

The height of the ceiling in a typical home, apartment, or dorm room is closest to

What is 0.205^2/3, expressed to the proper number of significant figures?

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10⁷ calculations per second?

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields) the albert (A), the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m²)

A certain CD-ROM disk can store approximately 6.0 × 10² megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 × 10^-6 m. Express this wavelength in nanometers.

The following exact conversion equivalents are given: 1 m = 100 cm, 1 in = 2.54 cm, and 1 ft + 12 in. If a computer screen has an area of 1.27 ft², this area is closest to

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft²]

Express (4.3 × 10⁶) ^-1/2 in scientific notation.