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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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10 x² + 50x + 60 =........... 15 x² - 77x + 10 =..... 24 x² - 76x + 12 =......

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10. The probability that a worker will be absent from work at a factory is The factory has 2400. 75 What is the mean number of workers who will be absent on any day? 1. 24 2. 75 3. 32 4. 16

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24. [-/5 Points] DETAILS LARPCALCLIM5 3.5.010. Find the missing values assuming continuously compounded interest. (Round your answers to two decimal places.) Initial Time to Double Annual Amount After Investment % Rate 10 Years $200 % yr $1,905

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A business deposits $40,000 in a fund that pays 3% interest, compounded continuously. Write an equation that can be used to determine the balance A after a period of tyears, where A is measured in dollars. A = Determine the balance (in dollars) in this account after 26 years. (Round your answer to the nearest cent.) $

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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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1. How many ways can a committee of four be chosen from a group of thirty people? 2. How many ways can four singers be chosen from a group of twenty singers? 3. How many ways can a committee of three be chosen from a group of sixteen girls and fifteen boys if there must be exactly one girl and two boys on the committee? 4. How many ways can a student council be chosen from a class of thirty if there is one president and three council members? 5. How many different tickets are possible for the Lotto 6/49? (a ticket consists of six numbers from 1 to 49 without any repeats) 6. How many ways can a committee of five be chosen from a class of ten boys and eighteen girls if Ted and Thelma must be on the council? 3. How many different five card hands are possible? & How many different five card hands are possible with exactly three aces and two other cards? 9. How many different two card hands are possible with both cards being face cards? lo. How many different two card hands are possible with both cards being red cards? แ(. How many different two card hands are possible with both cards being black aces? เ2- How many different five card hands are possible with exactly four Kings and one other face card?

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4) r= (x,y)eAx A/y=5-x} เมื่อ A = {0, 1, 2, 3, 4, 5, 6} 5) r= {(x,y) eZxZ|y=x-2} 6) r= {(x,y) |y= 4x +2} 7) r=(x,y)ERXR| x - y = 5}