MHF4U1-ASSIGNMENT CHAPTER 6B

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MHF4U1-ASSIGNMENT CHAPTER 6B NAME:_____________________ True/False Indicate whether the statement is true or false. ____ 1. You can write log 25 4 as . ____ 2. The y -intercept of the exponential function is 1. ____ 3. If , then . ____ 4. Logarithmic functions are defined only for positive values of the base that are not equal to 1. ____ 5. You can write as . Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 6. Evaluate . a. 25 c. 10 b. 4 d. 5 ____ 7. Evaluate . a. 12 c. 6 b. 8 d. 4 ____ 8. Evaluate . a. 3 c. 9 b. 6 d. 4 ____ 9. Evaluate . a. 2 c. 25 b. 5 d. 4 ____ 10. Evaluate . a. 20 c. 10 b. 100 d. 1 ____ 11. Evaluate .
a. c. 10 b. 10 d. 5 ____ 12. Evaluate . a. 9 c. 2 b. d. ____ 13. Solve for x , to two decimal places. a. 10.00 c. 12.15 b. 2.43 d. 1.87 ____ 14. Solve for x . a. x = 18 c. x = 6561 b. x = 81 d. x = 36 ____ 15. Evaluate , to three decimal places. a. 4.585 c. 19.000 b. 0.218 d. 3.974 ____ 16. A jackhammer has a decibel level of 107 dB, while city traffic has a decibel level of 69 dB. How many times as intense as the sound of the city traffic is the sound of a jackhammer? a. 1.43 c. 6309.57 b. 2.33 d. 627 281.18 ____ 17. A sound is 600 times as intense as a sound you can just hear (0 dB). What is the sound level of the sound, in decibels? a. 60.00 dB c. 6.00 dB b. 27.78 dB d. 34.71 dB ____ 18. While standing inside his house with the front door open, a man measured the sound level of a police siren blaring down the street to be 95 dB. With the front door closed, the sound level is 80 dB. How many times as intense as the sound of the siren with the door closed is the same sound with the door open? a. 1.50 c. 1.04 b. 57.66 d. 31.62 ____ 19. The pH of a solution with a hydronium ion concentration of 2.17 10 4 mol/L is
a. 3.66 c. 2.31 b. 1.00 d. 4.34 ____ 20. The hydronium ion concentration of a solution with a pH of 9.26 is approximately a. mol/L c. mol/L b. 0.966 mol/L d. mol/L ____ 21. The ratio of intensities of two sounds is 4261. If the quieter sound has a decibel level of 104 dB, what is the decibel level of the other sound? a. 67.7 dB c. 110.7 dB b. 152.6 dB d. 140.3 dB ____ 22. What is the magnitude of an earthquake 1410 times as intense as a standard earthquake? a. 2.96 c. 3.15 b. 2.61 d. 3.74 ____ 23. An earthquake measured 1.7 on the Richter scale. How many times as intense as a standard earthquake was this one? a. 50.12 c. 23.04 b. 201.60 d. 174.90 Completion Complete each statement. 24. The function , 0 < b < 1 is _______________ on its domain. 25. Exponential and logarithmic functions are defined only for _______________ of the base that are not equal to 1. 26. The function is compressed _______________ by a factor of . 27. The function is reflected in the _______________. 28. is an example of the _______________ formula. Short Answer 29. Evaluate . 30. Evaluate . 31. How many times as intense as a standard earthquake is an earthquake measuring 3.1 on the Richter scale? 32. Determine the pH of a solution with a hydronium ion concentration of mol/L.
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33. A culture of a certain type of mould growth is modelled by the function , where B is the total number of spores and t is the time, in hours. How many mould spores would there be after 2 4 h? 34. Given , find the value of . 35. Determine how long it would take an investment of $10 000 to double in value if it were compounded annually at 9.75% interest. 36. Evaluate . Problem 37. Given and , find the value of . 38. If $25 000 is invested in a hedge fund that pays 12.75% interest compounded annually, how long will it take for that investment to be worth $75 000? 39. Show that . 40. Sketch a graph of the inverse of . Then use the graph of f 1 ( x ) to help you sketch a gra ph of . 41. On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100 dB. How many times as intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m.? 42. Find the difference in pHs of a swimming pool with hydronium ion concentration of mol/L and a swimming pool with hydronium ion concentration of mol/L. 43. The ratio of intensities of sound pollution measured at a small airport runway versus the local highway is 6420.4. If the sou nd level on the local highway is 91 dB, determine the sound level on the runway. 44. Sketch a graph of the function . Identify the key features. a) domain and range b) eq uation of the vertical asymptot e