Question 1

A person on a diet loses $1.6 \mathrm {~kg}$ in a week. How many micrograms per 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 2

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.
A) 0.329 dekadollars; 0.329 decidollars
B) 32.9 dekadollars; 0.329 decidollars
C) 329 dekadollars; 32.9 decidollars
D) 0.329 dekadollars; 32.9 decidollars
E) 32.9 dekadollars; 329 decidollars

Accepted Answer

To convert the price to dekadollars, we need to move the decimal point one place to the left, making it $0.329. This gives us 0.329 dekadollars. 
To convert the price to decidollars, we need to move the decimal point two places to the right, making it $32.90. This gives us 32.9 decidollars. 
Therefore, the correct answer is D.

Question 3

The density of water is 1.00 g/cm³. What is its density in kg/m³?

Accepted Answer

The answer of The density of water is 1.00 g/cm³....

Question 4

A plot of land contains $5.8 \text { acres. }$ How many square meters does it contain? (1.0 acre = 43,560 ft² and 2.54 cm = 1.00 in.) 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 \text...

Question 5

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?
A) 1.59
B) 2.54
C) 5.08
D) 6.45

Accepted Answer

To find the area conversion factor between square inches and square centimeters, we need to square the conversion factor between inches and centimeters:
(2.54 cm/in)² = 6.4516 cm²/in²
Therefore, there are 6.45 square centimeters in 1.00 square inch.

Question 6

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)
A) 49 m/s
B) 2.2 m/s
C) 22 m/s
D) 45 m/s

Accepted Answer

We convert miles per hour to meters per second, using the conversion factor 1 mi = 1609 m and the fact that 1 hour = 3600 seconds:

50 mi/h = (50 mi/h) x (1609 m/mi) x (1 h/3600 s) = 22.35 m/s

Rounding to two decimal places, we get 22.35 m/s, which is closest to 22 m/s (Choice C). Therefore, the answer is C.

Question 7

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd? A) 6.40 m B) 36.3 m C) 640 m D) 1.78 × 10³ m

Accepted Answer

First, convert yards to inches: 7.00 yd * 36.0 in./yd = 252.0 in. Then, convert inches to centimeters: 252.0 in * 2.54 cm/in = 640.08 cm. Finally, convert centimeters to meters: 640.08 cm * 1 m/100 cm = 6.40 m.

Question 8

If you are 5'10'' tall, what is your height in meters? (2.54 cm = 1.00 in.)
A) 1.5 m
B) 1.6 m
C) 1.7 m
D) 1.8 m

Accepted Answer

The answer of If you are 5'10'' tall, what is...

Question 9

The wavelength of the light from a certain laser is $0.66 \text { microns, }$ where $1 \text { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} \text {. }$ What is this wavelength in nanometers? (1 nm = 10^-9m) A) 6.6 × 10² nm B) 6.6 × 10³ nm C) 6.6 × 10¹ nm D) 6.6 × 10⁴ nm

Accepted Answer

The answer of The wavelength of the light from a...

Question 10

A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.) A) 2.87 × 10¹³ mi B) 9.46 × 10¹⁵ mi C) 5.88 × 10¹⁵ mi D) 9.46 × 10¹² mi E) 5.88 × 10¹² mi

Accepted Answer

The answer of A light-year (ly) is the distance that...

Question 11

A typical ruby-throated hummingbird is 8 cm long. Express its length in millimeters and micrometers (µm).
A) 80 mm; 800 µm
B) 80 mm; 80,000 µm
C) 800 mm; 0.008 µm
D) 800 mm; 0.8 µm
E) 0.8 mm; 8000 µm

Accepted Answer

To convert cm to mm, multiply by 10. To convert mm to µm, multiply by 1000. Therefore, the length of the hummingbird in mm is 8 x 10 = 80 mm, and in µm is 80 x 1000 = 80,000 µm. Choice A is incorrect because it only converts cm to mm. Choice C is incorrect because it converts cm to mm but then expresses the answer in µm instead of mm. Choice D is incorrect because it expresses the length in millimeters when it should be in micrometers. Choice E is incorrect because it expresses the length in micrometers when it should be in millimeters.

Question 12

There are 2.00 dry pints to 1.00 dry quart, 8.00 dry quarts to 1.00 peck, 4.00 pecks to 1.00 bushel. An organic farmer wants to pick enough berries to fill 40,000 pint containers. How many bushels of berries does the farmer need?

Accepted Answer

The answer of There are 2.00 dry pints to 1.00...

Question 13

Which of the following speeds is greatest? (2.54 cm = 1.00 in.)
A) 10 km/h
B) 10 m/s
C) 10 ft/s
D) 10 mi/h
E) 10 yd/s

Accepted Answer

To compare the speeds, we need to convert all units to the same system, such as meters per second. 
- A) 10 km/h = 2.78 m/s 
- B) 10 m/s = 10 m/s 
- C) 10 ft/s = 3.05 m/s 
- D) 10 mi/h = 4.47 m/s 
- E) 10 yd/s = 9.14 m/s

Therefore, option B has the greatest speed.

Question 14

The following conversion equivalents are given: 1.00 gal = 231 $i n ^ { 3 }$ 1.0 ft = 12 in 1.0 min = 60 s If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft³/s is closest to A) 0.21 ft³/s. B) 0.19 ft³/s. C) 0.17 ft³/s. D) 0.15 ft³/s. E) 0.14 ft³/s.

Accepted Answer

The answer of The following conversion equivalents are given: 1.00...

Question 15

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg). A) 50,000 g; 5 ×10⁶ µg B) 500,000 g; 500 × 10⁶ µg C) 500,000 g; 5000 µg D) 50,000 g; 5 × 10¹⁰ µg E) 50,000 g; 50,000 µg

Accepted Answer

The answer of A jogger has a mass of 50...

Question 16

The following conversion equivalents are given: 
1.0 mile = 5280 ft $\quad$1.0 ft = 12 in $\quad$1 m = 39.37 in
1.0 hour = 60 min $\quad$1.0 min = 60 s
If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to
A) 2.1 m/s.
B) 1.7 m/s.
C) 1.9 m/s.
D) 2.3 m/s.
E) 2.5 m/s.

Accepted Answer

First, convert the speed from miles per hour to meters per second. $4.7 \, \text{mi/h} = 4.7 \times 5280 \, \text{ft/h} = 24816 \, \text{ft/h}$. Convert feet to meters: $24816 \, \text{ft} \times \frac{1 \, \text{m}}{39.37 \, \text{in}} \times \frac{12 \, \text{in}}{1 \, \text{ft}} = 7534.8 \, \text{m/h}$. Convert hours to seconds: $7534.8 \, \text{m/h} \times \frac{1 \, \text{h}}{3600 \, \text{s}} \approx 2.1 \, \text{m/s}$.

Question 17

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m³, the volume of the bin, in ft³, is closest to A) 35 ft³ B) 41 ft³ C) 47 ft³ D) 53 ft³ E) 59 ft³

Accepted Answer

The answer of The following conversion equivalents are given: 1.0...

Question 18

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

Accepted Answer

The answer of Hydraulicists often express rainfall in acre-feet. This...

Question 19

A speed of 60 mi/h is closest to which of the following? (2.54 cm = 1.00 in.)
A) 60 m/s
B) 20 m/s
C) 30 km/h
D) 120 m/s
E) 30 m/s

Accepted Answer

The answer of A speed of 60 mi/h is closest...

Question 20

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

Accepted Answer

The answer of There are 640 acres in a square...

Quiz 1: Representing Motion

A person on a diet loses $1.6 \mathrm {~kg}$ in a week. How many micrograms per second (μg/s) are lost?

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.

The density of water is 1.00 g/cm³. What is its density in kg/m³?

A plot of land contains $5.8 \text { acres. }$ How many square meters does it contain? (1.0 acre = 43,560 ft² and 2.54 cm = 1.00 in.)

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd?

If you are 5'10'' tall, what is your height in meters? (2.54 cm = 1.00 in.)

The wavelength of the light from a certain laser is $0.66 \text { microns, }$ where $1 \text { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} \text {. }$ What is this wavelength in nanometers? (1 nm = 10^-9m)

A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)

A typical ruby-throated hummingbird is 8 cm long. Express its length in millimeters and micrometers (µm) .

There are 2.00 dry pints to 1.00 dry quart, 8.00 dry quarts to 1.00 peck, 4.00 pecks to 1.00 bushel. An organic farmer wants to pick enough berries to fill 40,000 pint containers. How many bushels of berries does the farmer need?

Which of the following speeds is greatest? (2.54 cm = 1.00 in.)

The following conversion equivalents are given: 1.00 gal = 231 $i n ^ { 3 }$ 1.0 ft = 12 in 1.0 min = 60 s If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft³/s is closest to

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg) .

The following conversion equivalents are given: 1.0 mile = 5280 ft $\quad$ 1.0 ft = 12 in $\quad$ 1 m = 39.37 in 1.0 hour = 60 min $\quad$ 1.0 min = 60 s If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m³, the volume of the bin, in ft³, is closest to

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

A speed of 60 mi/h is closest to which of the following? (2.54 cm = 1.00 in.)

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

Quiz 1: Representing Motion

A person on a diet loses 1.6 kg1.6 \mathrm {~kg}1.6 kg in a week. How many micrograms per second (μg/s) are lost?

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.

The density of water is 1.00 g/cm3. What is its density in kg/m3?

A plot of land contains 5.8 acres. 5.8 \text { acres. }5.8 acres. How many square meters does it contain? (1.0 acre = 43,560 ft2 and 2.54 cm = 1.00 in.)

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd?

If you are 5'10'' tall, what is your height in meters? (2.54 cm = 1.00 in.)

The wavelength of the light from a certain laser is 0.66 microns, 0.66 \text { microns, }0.66 microns, where 1 micron =1.0×10−6 m. 1 \text { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} \text {. }1 micron =1.0×10−6 m. What is this wavelength in nanometers? (1 nm = 10-9m)

A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 108 m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)

A typical ruby-throated hummingbird is 8 cm long. Express its length in millimeters and micrometers (µm) .

There are 2.00 dry pints to 1.00 dry quart, 8.00 dry quarts to 1.00 peck, 4.00 pecks to 1.00 bushel. An organic farmer wants to pick enough berries to fill 40,000 pint containers. How many bushels of berries does the farmer need?

Which of the following speeds is greatest? (2.54 cm = 1.00 in.)

The following conversion equivalents are given: 1.00 gal = 231 in3i n ^ { 3 }in3 1.0 ft = 12 in 1.0 min = 60 s If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft3/s is closest to

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg) .

The following conversion equivalents are given: 1.0 mile = 5280 ft \quad 1.0 ft = 12 in \quad 1 m = 39.37 in 1.0 hour = 60 min \quad 1.0 min = 60 s If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m3, the volume of the bin, in ft3, is closest to

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

A speed of 60 mi/h is closest to which of the following? (2.54 cm = 1.00 in.)

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

A person on a diet loses $1.6 \mathrm {~kg}$ in a week. How many micrograms per second (μg/s) are lost?

The density of water is 1.00 g/cm³. What is its density in kg/m³?

A plot of land contains $5.8 \text { acres. }$ How many square meters does it contain? (1.0 acre = 43,560 ft² and 2.54 cm = 1.00 in.)

The wavelength of the light from a certain laser is $0.66 \text { microns, }$ where $1 \text { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} \text {. }$ What is this wavelength in nanometers? (1 nm = 10^-9m)

A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)

The following conversion equivalents are given: 1.00 gal = 231 $i n ^ { 3 }$ 1.0 ft = 12 in 1.0 min = 60 s If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft³/s is closest to

The following conversion equivalents are given: 1.0 mile = 5280 ft $\quad$ 1.0 ft = 12 in $\quad$ 1 m = 39.37 in 1.0 hour = 60 min $\quad$ 1.0 min = 60 s If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m³, the volume of the bin, in ft³, is closest to