Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
2ndSemFinalRev 1. Solve: 9. Graph the function: 2. Simplify: 10. Simplify: 3. Simplify: 11. Evaluate: 4. Simplify: 12. Graph: 5. Let and 13. Express as a single logarithm: . Find f(g(x)). 6. Find an equation for the inverse of the relation y=3x+4. 7. Graph the radical function find the domain and range. 14. Solve: , and then 15. The price per person of renting a bus varies inversely with the number of people renting the bus. It costs $20 per person if 27 people rent the bus. How much will it cost per person if 34 people rent the bus? 8. A certain gas will escape from a storage tank according to the formula , where e represents the amount escaping per minute in 16. It takes a train 5 hours to get from Capitol City to gallons, and p represents the pressure in pounds per Johnson City when it travels 66 mi/hr. How long square inch. What is the pressure on the gas when would it take the train to go the same distance when about 275 gallons per minute are escaping? Round it travels 55 mi/hr? your answer to the nearest tenth. 17. Decide whether the data shows inverse varation. If so, find the missing value. x y 0.5 10 -0.25 ? -20 -0.5 -1 -10 18. The wattage rating of an appliance, W, varies jointly as the square of the current, I, and the resistance, R. If the wattage is 22.5 watts when the current is 0.3 ampere and the resistance is 250 ohms, find the wattage when the current is 0.1 ampere and the resistance is 200 ohms. 19. Which function matches the graph? y 5 4 26. Divide: 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x 27. Divide: –2 –3 –4 –5 28. Simplify: a. b. 29. Add: c. d. 30. Simplify: 20. Graph: 31. Solve: 21. Find the vertical asymptote(s), if any, for 32. Solve: 22. Graph the rational function 33. Find the distance between point A(-4, 3) and point C(-6, -9), then find the midpoint of . 23. Simplify the rational expression: 34. Write the standard form of the equation of the parabola with its vertex at (0, 0) and focus at (0, 3). 24. Multiply: 35. Graph: 25. Find the product: 36. Graph: 37. Graph: 38. Solve: 47. Find the first four terms of the sequence . 48. Find the sum of the first 14 terms of the arithmetic sequence, if the first term is -3 and the common difference is 3. 39. Evaluate the factorial expression: 49. Evaluate: 40. Find the number of distinguishable permutations of the letters TOPIC. 50. Find the sum of the geometric series: 41. You own 7 sweaters and are taking 2 on vacation. In how many ways can you choose 2 sweaters from the 7? 42. A single standard six-sided die is rolled. Find the probability of rolling a number less than 6. 43. Two cards are randomly selected from a standard 52-card deck. What is the probability of getting 2 hearts or 2 numbers less than 5 (count aces as 1)? (Round to three decimal places) 44. A coin is tossed and a die is rolled. What is the probability that the coin shows heads and the die shows an even number? 45. Find the median of the set of numbers: 17, 37, 39, 27, 38, 26, 28, 24, 40 46. When 1,676 voters were polled, 31% said they were voting yes on an initiative measure. The margin of error in the poll is . Find the interval that is likely to contain the true population percent. 2ndSemFinalRev Answer Section 1. 1 2. 3. 4. 5. 6. y 4 3 2 1 –4 –3 –2 –1 –1 1 2 3 x 4 –2 –3 –4 7. Domain: ; Range: 8. 2.3 y 4 3 2 1 –4 –3 –2 –1 –1 –2 –3 –4 9. 10. 11. 3 1 2 3 4 x y 4 3 2 1 –4 –3 –2 –1 –1 1 2 3 4 x –2 –3 –4 12. 13. 14. 15. 16. 17. 18. 19. $15.88 per person 6 hrs Not an inverse variation 2 watts A y 8 –8 8 –8 20. 21. x = 3, x = -2 y 8 6 4 2 –8 –6 –4 –2 –2 –4 –6 –8 22. 23. 2 4 6 8 x x 24. 25. 26. 27. 28. 29. 30. 31. x = -9 32. x = -2 33. Distance = Midpoint = (-5, -3) 34. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 –2 –3 –4 –5 35. 8 y 6 4 2 –8 –6 –4 –2 –2 –4 –6 36. –8 2 4 6 8 x 4 5 x y 3 2 1 –6 –4 –2 –1 2 4 6 –2 –3 37. 38. 39. 40. 41. {(0, 2), (2, 0)} 5,040 120 21 42. 43. 44. 45. 46. 47. 48. 49. 50. 28 between 28.6% and 33.4% -2, 2, 12, 28 231 x