15.12: Chapter 13

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Your Turn

13.1

1. 46 in

13.2

1. 34 scales

13.3

1. 1.618

13.4

1. 1.25, which is close to a golden rectangle

13.5

1. 210 gal

13.6

1. 1,050,000 gal

13.7

1. 9,828 million gal of water

13.8

1. 15.8 kW

13.9

1. $14.18

13.10

1. $0.06

13.11

1. 288 kW

13.12

1. 1.8 mg in 200 mL

13.13

1. 6 pills

13.14

1. 42 mg

13.15

1. 13 mL

13.16

1. Yara, Jeffrey

2. 5

13.17

1. birds chirping

2. window air conditioner

3. garbage disposal

4. live outdoor concert

13.18

1. up G, down F

2. up C, down B^♭

3. up G, down F

13.19

1. up E^♭, down B

2. up D^#, down B

3. up F^#, down D

13.20

1. G, G^#, A, A^#, B, C, C^#, D, D^#, E, F, F^#

13.21

1. 83 Hz

13.22

1. 10 games

2. 66 games

3. 300 games

13.23

1. 4 games

2. 11 games

3. 24 games

Check Your Understanding

1. 1.618

2. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55

3. A rectangle whose length divided by the width is approximately equal to $\mathit{ϕ}$ or 1.618.

4. $1\,{\rm{kW}} = 1{,}000\,{\rm{watts}}$

5. 100 gal

6. 33 1/3 hours

7. 17 hours

8. medicine dosage required, weight of drug by volume

9. b Research on coronavirus vaccines began approximately 10 years before the COVID-19 pandemic hit the world.

10. Mathematical modeling is a graphical representation of a behavior, such as exposure to a virus. It can be helpful in mapping contract tracing with virus exposure during a pandemic.

11. Frequency is a static measured value, whereas pitch is subjective.

12. higher

13. 20–20,000 Hz

14. increase

15. 0 dB

16. 20–17,000Hz

17. It doubles.

18. Data analytics is used in sports to analyze data on team’s players, potential recruits, opposing teams, and opposing players. This helps to find patterns and make predictions for future results.

19. Soccer (football)

20. $n\left( {n - 1} \right)/2$

21. $n - 1$

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Check Your Understanding