Question 1

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10⁷calculations per second? A) 15 ns B) 67 ns C) 11 ns D) 65 ns

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), we get approximately 15 nanoseconds per calculation.

Question 2

Convert a speed of 4.50 km/h to units of ft/min.(1.00 m = 3.28 ft)
A) 0.246 ft/min
B) 82.3 ft/min
C) 165 ft/min
D) 246 ft/min
E) 886 ft/min

Accepted Answer

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

Question 3

What is the product of 11.24 and 1.95 written with the correct number of significant figures?
A) 22
B) 21.9
C) 21.92
D) 21.918
E) 21.9180

Accepted Answer

The product of 11.24 and 1.95 is 21.918, but since the least number of significant figures in the numbers being multiplied is three (in 1.95), the answer should also be reported with three significant figures, making 21.9 the correct choice.

Question 4

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) 3.8 m/s.
B) 3.0 m/s.
C) 3.4 m/s.
D) 4.1 m/s.
E) 4.5 m/s.

Accepted Answer

The answer of In addition to 1 m = 39.37...

Question 5

What is 56 + (32.00)/(1.2465 + 3.45)written with the correct number of significant figures?
A) 62.8
B) 62.812
C) 62.81
D) 63
E) 62.8123846

Accepted Answer

The answer of What is 56 + (32.00)/(1.2465 + 3.45)written...

Question 6

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? A) 0.283 m³/sec B) 0.328 m³/sec C) 3.05 m³/sec D) 32.8 m³/sec

Accepted Answer

The answer of The exhaust fan on a typical kitchen...

Question 7

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) 0.00284 m². B) 0.0465 m². C) 0.118 m². D) 0.284 m². E) 4.65 m².

Accepted Answer

The answer of The following exact conversion equivalents are given:...

Question 8

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? A) 6.7 × 10⁷ words B) 5.4 × 10⁹ words C) 2.1 × 10⁷ words D) 2.0 × 10⁹ words

Accepted Answer

The CD-ROM can store 6.0 × 10^12 bytes. Since 1 megabyte = 10^6 bytes, the disk's capacity in words is calculated by dividing the total bytes by the bytes per word: (6.0 × 10^12 bytes) / (9.0 bytes/word) = 6.7 × 10^11 words.

Question 9

A person on a diet loses 1.6 kg in a week.How many micrograms/second (μg/s)are lost? A) 2.6 × 10³ μg/s B) 1.6 × 10⁵ μg/s C) 44 μg/s D) 6.4 × 10⁴ μg/s

Accepted Answer

The answer of A person on a diet loses 1.6...

Question 10

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters. A) 4 × 10^-5 cm B) 4 × 10^-7 cm C) 4 × 10^-9 cm D) 4 × 10^-11 cm E) 400 × 10^-11 cm

Accepted Answer

To convert nanometers to centimeters, we need to move the decimal point nine places to the left. Thus, 400 nm equals 4 × 10^-5 cm. Therefore, the correct choice is (A) 4 × 10^-5 cm.

Question 11

Express (4.3 × 10⁶)^-1/2 in scientific notation. A) 4.8 × 10^-4 B) 2.1 × 10³ C) 2.1 × 10^-5 D) 2.1 × 10⁴

Accepted Answer

The answer of Express (4.3 × 10⁶)^-1/2 in scientific notation. A)...

Question 12

The wavelength of a certain laser is 0.35 micrometers,where 1 micrometer = 1 × 10^-6 m. Express this wavelength in nanometers. A) 3.5 × 10² nm B) 3.5 × 10³ nm C) 3.5 × 10¹ nm D) 3.5 × 10⁴ nm

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

What is the result of 1.58 ÷ 3.793 written with the correct number of significant figures? A) 4.1656 × 10^-1 B) 4.166 × 10^-1 C) 4.17 × 10^-1 D) 4.2 × 10^-1 E) 4 × 10^-1

Accepted Answer

The answer of What is the result of 1.58 ÷...

Question 14

Add 3685 g and 66.8 kg and express your answer in milligrams (mg). A) 7.05 × 10⁷ mg B) 7.05 × 10⁴ mg C) 7.05 × 10⁵ mg D) 7.05 × 10⁶ mg

Accepted Answer

The answer of Add 3685 g and 66.8 kg and...

Question 15

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 A) 0.7 m². B) 0.68 m². C) 0.682 m². D) 0.6818 m². E) 0.68175 m².

Accepted Answer

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

Question 16

A weight lifter can bench press 171 kg.How many milligrams (mg)is this? A) 1.71 × 10⁸ mg B) 1.71 × 10⁹ mg C) 1.71 × 10⁷ mg D) 1.71 × 10⁶ mg

Accepted Answer

The answer of A weight lifter can bench press 171...

Question 17

What is 0.205^2/3,expressed to the proper number of significant figures? A) 0.348 B) 0.35 C) 0.3 D) 0.3477

Accepted Answer

The answer of What is 0.205^2/3,expressed to the proper number...

Question 18

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft²] A) 2.3 × 10⁴ m² B) 7.1 × 10³ m² C) 7.0 × 10⁴ m² D) 5.0 × 10⁴ m²

Accepted Answer

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

Question 19

What is 34 + (3)× (1.2465)written with the correct number of significant figures? A) 37.7 B) 37.74 C) 4 × 10¹ D) 38 E) 37.7395

Accepted Answer

The answer of What is 34 + (3)× (1.2465)written with...

Question 20

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...

Quiz 1: Foundations

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

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

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

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

What is 56 + (32.00) /(1.2465 + 3.45) written with the correct number of significant figures?

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 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?

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

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

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

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

What is the result of 1.58 ÷ 3.793 written with the correct number of significant figures?

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

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

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

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

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

What is 34 + (3) × (1.2465) written with the correct number of significant figures?

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)

Quiz 1: Foundations

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

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

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

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

What is 56 + (32.00) /(1.2465 + 3.45) written with the correct number of significant figures?

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 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?

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

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

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

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

What is the result of 1.58 ÷ 3.793 written with the correct number of significant figures?

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

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

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

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

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

What is 34 + (3) × (1.2465) written with the correct number of significant figures?

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)

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

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 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?

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

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

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

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

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)