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5. Evaluate the following without using a calculato (a) lg (ln e) (c) log4 7+ log4 7 1 (e) 2 lg 5 += lg 16 2 log, 64 log, 32 (i) 1-= - lg 125 lg 2 3

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1. [-/5 Points] Consider the following. f(x) = x - 5x2 + 5 (a) Use the Intermediate Value Theorem and the table feature of a graphing utility to find intervals one unit in length in which the polynomial function is guaranteed to have a zero. (Select all that apply.) 0[-2, -1] / 0[-1, 0] / 6ราาอบ6บบนี้แล้วขันผดด่ะ 0 [0, 1] 0 [1, 2] 0 [4, 5] / (b) Adjust the table to approximate the zeros of the function to the nearest thousandth. (Enter your answers as a comma-separated list. Round your answers to three decimal places.) ? (x) --515 X = X- 4 X = 0 X y= (--5(-2) 45 y= (0) - 5 (0) +5 yะ(4) - 5(4)+5 - 22 Y : 0 - 0 f 5 y : 5 - 2 Yะ - 9 - 20 +5 Y = 64 - 80s - 1 -ฯ y = - 23 yะ - 11 Xะ - ๆ 5 V= (-1) -5(-1) 15 X= 1 1 yะ (1) - 501) -5 1 Y - 1 - 11 9ะ 1- 59 Y = 1 4. Yะ - 1

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From 1950 through 2005, the per capita consumption C of cigarettes by Americans (age 18 and older) can be modeled by C = 3565.0 + 60.30t - 1.783t, 0 sts 55, where t is the year, with t = 0 corresponding t0 19 (a) Use a graphing utility to graph the model. Cigarettes Cigarettes 4000 60 3000 45 2000 30 1000 15 1 Year 1 Year 10 20 30 40 50 60 1000 2000 3000 4000 5000 6000 Year Year 4000 60 3000 45 2000 30 1000 15 Cigarettes 60 Cigarettes 10 20 30 40 50 1000 2000 3000 4000 5000 6000 (b) Use the graph of the model to approximate the maximum average annual consumption. cigarettes Beginning in 1966, all cigarette packages were required by law to carry a health warning. Do you think the warning had any effect? Explain. After 1966, the consumption -Select--- It --Select- v ikely that the warning was responsible for the decrease in consumption. -Decveases - incveases - is/is not - rem ains constดท (c) In 2005, the บ.S. population (age 18 and over) was 296,329,000. Of those, about 59,858,458 were smokers. What was the average annual cigarette consumption per smoker in 2005? cigarettes What was the average daily cigarette consumption per smoker? cigarettes 0

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5) 4x - N16x +ป Sel. 2x [X - 4xx + xx - x^Jx

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