Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Perform the following conversion problems. Show your work please
![### Unit Conversion Exercises
Below are several unit conversion exercises to help you practice converting between different units of mass and volume. Use the appropriate conversion factors to complete each problem.
1. **Mass Conversions**
- **h. 762 mg to g**
- **i. 32 µg to g**
- **j. 3200 g to µg**
- **k. 75 µg to mg**
2. **Volume Conversions**
- **l. 72 μl to ml**
- **m. 2 L to ml**
- **n. 64 ml to μl**
- **o. 7.243 μl to ml**
### Conversion Factors:
- 1 gram (g) = 1000 milligrams (mg)
- 1 gram (g) = 1,000,000 micrograms (µg)
- 1 milligram (mg) = 1000 micrograms (µg)
- 1 Liter (L) = 1000 milliliters (ml)
- 1 milliliter (ml) = 1000 microliters (µl)
### Example Solutions:
- To convert 762 mg to grams, use the conversion factor 1 g = 1000 mg:
\[
\text{762 mg} \times \left( \frac{1 \text{ g}}{1000 \text{ mg}} \right) = 0.762 \text{ g}
\]
- To convert 32 µg to grams, use the conversion factor 1 g = 1,000,000 µg:
\[
\text{32 µg} \times \left( \frac{1 \text{ g}}{1,000,000 \text{ µg}} \right) = 0.000032 \text{ g}
\]
- To convert 3200 g to micrograms (µg), use the conversion factor 1 g = 1,000,000 µg:
\[
\text{3200 g} \times 1,000,000 = 3,200,000,000 \text{ µg}
\]
- To convert 75 µg to milligrams (mg), use the conversion factor 1 mg = 1000 µg:
\[
\text{75 µg](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb034729f-db63-4235-9b33-79c3c77be50a%2F81c1c851-2486-40a9-b46a-63ea153b8da1%2Flarigtm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Unit Conversion Exercises
Below are several unit conversion exercises to help you practice converting between different units of mass and volume. Use the appropriate conversion factors to complete each problem.
1. **Mass Conversions**
- **h. 762 mg to g**
- **i. 32 µg to g**
- **j. 3200 g to µg**
- **k. 75 µg to mg**
2. **Volume Conversions**
- **l. 72 μl to ml**
- **m. 2 L to ml**
- **n. 64 ml to μl**
- **o. 7.243 μl to ml**
### Conversion Factors:
- 1 gram (g) = 1000 milligrams (mg)
- 1 gram (g) = 1,000,000 micrograms (µg)
- 1 milligram (mg) = 1000 micrograms (µg)
- 1 Liter (L) = 1000 milliliters (ml)
- 1 milliliter (ml) = 1000 microliters (µl)
### Example Solutions:
- To convert 762 mg to grams, use the conversion factor 1 g = 1000 mg:
\[
\text{762 mg} \times \left( \frac{1 \text{ g}}{1000 \text{ mg}} \right) = 0.762 \text{ g}
\]
- To convert 32 µg to grams, use the conversion factor 1 g = 1,000,000 µg:
\[
\text{32 µg} \times \left( \frac{1 \text{ g}}{1,000,000 \text{ µg}} \right) = 0.000032 \text{ g}
\]
- To convert 3200 g to micrograms (µg), use the conversion factor 1 g = 1,000,000 µg:
\[
\text{3200 g} \times 1,000,000 = 3,200,000,000 \text{ µg}
\]
- To convert 75 µg to milligrams (mg), use the conversion factor 1 mg = 1000 µg:
\[
\text{75 µg
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