document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313358>Question 313358</A>: <I><SPAN STYLE=\"word-break: break-all;\">    <BR>\n" );
document.write( "please help me. this is my last resort \r<BR>\n" );
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document.write( "1. Find the midpoint and the distance between the points (8,–6) and (13, 4).<BR>\n" );
document.write( "         1. (4, –3), 10 units<BR>\n" );
document.write( "         2.<BR>\n" );
document.write( "         3.<BR>\n" );
document.write( "         4. (10, –1), 9 units\r<BR>\n" );
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document.write( "   2. Find the vertex and the focus of the parabola with the equation 4y = x2 – 12x + 52.<BR>\n" );
document.write( "         1. V(6, 4), F(6, 5)<BR>\n" );
document.write( "         2. V(6, 4), F(7, 4)<BR>\n" );
document.write( "         3. V(4, 6), F(4, 7)<BR>\n" );
document.write( "         4. V(4, 6), F(5, 6)\r<BR>\n" );
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document.write( "   3. Find the center and radius of a circle whose equation is x2 + y2 + 88 = 8y – 22x.<BR>\n" );
document.write( "         1.<BR>\n" );
document.write( "         2.<BR>\n" );
document.write( "         3. C(11, –4), r = 7<BR>\n" );
document.write( "         4. C(–11, 4), r = 7\r<BR>\n" );
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document.write( "   4. Find the center and foci of the ellipse with the following equation.<BR>\n" );
document.write( "         1.<BR>\n" );
document.write( "         2.<BR>\n" );
document.write( "         3.<BR>\n" );
document.write( "         4.\r<BR>\n" );
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document.write( "   5. Find the slopes of the asymptotes of the hyperbola with the equation 36 = 9x2 – 4y2.<BR>\n" );
document.write( "         1. 3/2, –3/2<BR>\n" );
document.write( "         2. –4/9, –4/9<BR>\n" );
document.write( "         3. 1/4, 1/9<BR>\n" );
document.write( "         4. 1/36, 1/13\r<BR>\n" );
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document.write( "   6. Identify the type of equation 0 = 3x2 + y2 – 12x – 30y + 181.<BR>\n" );
document.write( "         1. parabola<BR>\n" );
document.write( "         2. circle<BR>\n" );
document.write( "         3. ellipse<BR>\n" );
document.write( "         4. hyperbola\r<BR>\n" );
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document.write( "   7. Solve the following system of equations.<BR>\n" );
document.write( "      x2 + y2 = 9<BR>\n" );
document.write( "      x2 – 3y = 9<BR>\n" );
document.write( "         1. (–3, 9)<BR>\n" );
document.write( "         2. (–3, 9), (–3, 0)<BR>\n" );
document.write( "         3. (–3, 0), (0, –3), (3, 0)<BR>\n" );
document.write( "         4. (–3, 0), (3, 0), (–3, 9), (3, 9)\r<BR>\n" );
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document.write( "   8. Identify the number of possible real zeros of the function f(x) = x4 – 6x2 + 6.<BR>\n" );
document.write( "         1. 1<BR>\n" );
document.write( "         2. 2<BR>\n" );
document.write( "         3. 3<BR>\n" );
document.write( "         4. 4\r<BR>\n" );
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document.write( "   9. Given the function f(x) = x3 – 7x + 6 and one of its factors (x – 1), find all remaining factors.<BR>\n" );
document.write( "         1. (x – 1)(x – 2)(x + 3)<BR>\n" );
document.write( "         2. (x – 1)(x – 7)(x + 6)<BR>\n" );
document.write( "         3. (x – 1)(x + 1)(x – 6)<BR>\n" );
document.write( "         4. (x – 1)(x – 7)(x + 6)\r<BR>\n" );
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document.write( "  10. Identify all rational zeros of the polynomial function f(x) = 3x4 – 5x3 – 29x2 + 45x + 18.<BR>\n" );
document.write( "         1. –6, –2/3, 6, 18<BR>\n" );
document.write( "         2. –3, –1/3, 2, 3<BR>\n" );
document.write( "         3. –2, 6<BR>\n" );
document.write( "         4. 1/3, 2/3\r<BR>\n" );
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document.write( "  11. Find f(g(2)) if f(x) = x2 + 3x and g(x) = 3 – x2.<BR>\n" );
document.write( "         1. –2<BR>\n" );
document.write( "         2. –7<BR>\n" );
document.write( "         3. –97<BR>\n" );
document.write( "         4. 103\r<BR>\n" );
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document.write( "  12. If f(x) = x2 + 2, find f –1(3).<BR>\n" );
document.write( "         1. 11<BR>\n" );
document.write( "         2. 3<BR>\n" );
document.write( "         3.<BR>\n" );
document.write( "         4.\r<BR>\n" );
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document.write( "  13. Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation.<BR>\n" );
document.write( "         1. y = 0, x = 3, x = –2<BR>\n" );
document.write( "         2. x = –2, y = 6<BR>\n" );
document.write( "         3. x = –3, y = 0, x = 2<BR>\n" );
document.write( "         4. y = 0, x = 6, x = 2\r<BR>\n" );
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document.write( "  14. If y varies jointly as x and z, and y = 28 when x = 14 and z = 1, find the value of y when x = 7 and z = 4.<BR>\n" );
document.write( "         1. 7/4<BR>\n" );
document.write( "         2. 8<BR>\n" );
document.write( "         3. 14<BR>\n" );
document.write( "         4. 56\r<BR>\n" );
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document.write( "  15. Simplify the following expression.<BR>\n" );
document.write( "         1. 1<BR>\n" );
document.write( "         2.<BR>\n" );
document.write( "         3.<BR>\n" );
document.write( "         4.\r<BR>\n" );
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document.write( "  16. Solve the following equation.<BR>\n" );
document.write( "         1. –2, 5<BR>\n" );
document.write( "         2. 5, 3<BR>\n" );
document.write( "         3. 3, –2<BR>\n" );
document.write( "         4. Ψ, no solution\r<BR>\n" );
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document.write( "  17. Two pickup trucks have towing capacities in a ratio 5 to 4. The larger pickup truck can tow 800 lbs more than the smaller truck. What is the towing capacity of the larger truck?<BR>\n" );
document.write( "         1. 1,000 lbs<BR>\n" );
document.write( "         2. 2,400 lbs<BR>\n" );
document.write( "         3. 3,200 lbs<BR>\n" );
document.write( "         4. 4,000 lbs\r<BR>\n" );
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document.write( "  18. Solve the equation 92x + 1 = 3x – 3.<BR>\n" );
document.write( "         1. –4<BR>\n" );
document.write( "         2. –5/3<BR>\n" );
document.write( "         3. 2/3<BR>\n" );
document.write( "         4. 3\r<BR>\n" );
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document.write( "  19. Solve the equation log3 (3x + 4) = 1/3 log3 8.<BR>\n" );
document.write( "         1. –2/3<BR>\n" );
document.write( "         2. –4/9<BR>\n" );
document.write( "         3. 4/3<BR>\n" );
document.write( "         4. 2/3\r<BR>\n" );
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document.write( "  20. Find antilog 1.2, round your answer to the nearest hundredth.<BR>\n" );
document.write( "         1. 0.08<BR>\n" );
document.write( "         2. 0.18<BR>\n" );
document.write( "         3. 3.32<BR>\n" );
document.write( "         4. 15.85\r<BR>\n" );
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document.write( "  21. Solve the equation ln (x + 2) = 3. Round your answer to the nearest hundredth.<BR>\n" );
document.write( "         1. 1.00<BR>\n" );
document.write( "         2. 18.09<BR>\n" );
document.write( "         3. 22.09<BR>\n" );
document.write( "         4. 998.00\r<BR>\n" );
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document.write( "  22. Solve the equation 47x – 2 = 17x + 1. Round your answer to the nearest thousandth.<BR>\n" );
document.write( "         1. 0.489<BR>\n" );
document.write( "         2. 0.816<BR>\n" );
document.write( "         3. 1.386<BR>\n" );
document.write( "         4. 2.833\r<BR>\n" );
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document.write( "  23. Find the 4 arithmetic means between the numbers 45 and 80.<BR>\n" );
document.write( "         1. 50, 55, 60, 65<BR>\n" );
document.write( "         2. 52, 57, 62, 67<BR>\n" );
document.write( "         3. 50, 57, 64, 71<BR>\n" );
document.write( "         4. 52, 59, 66, 73\r<BR>\n" );
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document.write( "  24. Find the sum of the following arithmetic series.<BR>\n" );
document.write( "         1. 120<BR>\n" );
document.write( "         2. 120 ½<BR>\n" );
document.write( "         3. 124<BR>\n" );
document.write( "         4. 124 ½\r<BR>\n" );
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document.write( "  25. Identify the twelfth term in the geometric sequence in which a1 = 10, r = 2.<BR>\n" );
document.write( "         1. 110<BR>\n" );
document.write( "         2. 1,280<BR>\n" );
document.write( "         3. 20,480<BR>\n" );
document.write( "         4. 5,242,940\r<BR>\n" );
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document.write( "  26. Find the sum of the following geometric series.<BR>\n" );
document.write( "         1. 55,986<BR>\n" );
document.write( "         2. 19,530<BR>\n" );
document.write( "         3. 9,330<BR>\n" );
document.write( "         4. 3,905\r<BR>\n" );
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document.write( "  27. Find the sum of the infinite geometric series 100 + 90 + 81 + 72.9 + 65.61 . . .<BR>\n" );
document.write( "         1. 750<BR>\n" );
document.write( "         2. 12.456<BR>\n" );
document.write( "         3. 1000<BR>\n" );
document.write( "         4. 1245.0435\r<BR>\n" );
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document.write( "  28. Identify the binomial expansion of (x + 4y)4.<BR>\n" );
document.write( "         1. x4 + 256y4<BR>\n" );
document.write( "         2. x4 + 8x2y2 + 16y4<BR>\n" );
document.write( "         3. x4 + 12x3y + 96xy3 + 256y4<BR>\n" );
document.write( "         4. x4 + 16x3y + 96x2y2 + 256xy3 + 256y4\r<BR>\n" );
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document.write( "  29. Find the number of 7-digit phone numbers that can be formed if the first three digits come from the numbers 1 to 3 and the last four digits come from the numbers 1 to 9.<BR>\n" );
document.write( "         1. 5,040<BR>\n" );
document.write( "         2. 177,147<BR>\n" );
document.write( "         3. 362,886<BR>\n" );
document.write( "         4. 823,543\r<BR>\n" );
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document.write( "  30. Find the number of ways eight people can be seated in an eight-passenger van.<BR>\n" );
document.write( "         1. 8<BR>\n" );
document.write( "         2. 216<BR>\n" );
document.write( "         3. 40,320<BR>\n" );
document.write( "         4. 16,777,216\r<BR>\n" );
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document.write( "  31. Find the number of ways 4 bikes can be placed on a bike rack with 12 spots.<BR>\n" );
document.write( "         1. 24<BR>\n" );
document.write( "         2. 495<BR>\n" );
document.write( "         3. 11,880<BR>\n" );
document.write( "         4. 479,001,600\r<BR>\n" );
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document.write( "  32. A meal at a certain restaurant consists of 3 entrιes chosen from group of 15 possible entrιes. Find the number of possible meal combinations.<BR>\n" );
document.write( "         1. 6<BR>\n" );
document.write( "         2. 455<BR>\n" );
document.write( "         3. 2,730<BR>\n" );
document.write( "         4. 217,945,728,000\r<BR>\n" );
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document.write( "  33. Find the probability of rolling a die three times and rolling a ’2’ each time.<BR>\n" );
document.write( "         1. 34/100<BR>\n" );
document.write( "         2. 139/2500<BR>\n" );
document.write( "         3. 1/216<BR>\n" );
document.write( "         4. 1667/1000\r<BR>\n" );
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document.write( "  34. If the Independent Party has lost 10 of the last 15 elections, find the odds against an Independent victory in the next election.<BR>\n" );
document.write( "         1. 1 to 2<BR>\n" );
document.write( "         2. 2 to 1<BR>\n" );
document.write( "         3. 1 to 3<BR>\n" );
document.write( "         4. 3 to 1\r<BR>\n" );
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document.write( "  35. Suppose that you are drawing cards from a set of 6 cards, the colors of which are red, blue, orange, yellow, pink, and green. What is the probability of drawing a red card followed by a blue card without replacement?<BR>\n" );
document.write( "         1. 1/3<BR>\n" );
document.write( "         2. 1/15<BR>\n" );
document.write( "         3. 1/30<BR>\n" );
document.write( "         4. 1/36\r<BR>\n" );
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document.write( "  36. Find the probability of drawing a spade or a face card from a standard deck of cards.<BR>\n" );
document.write( "         1. 11/26<BR>\n" );
document.write( "         2. 25/56<BR>\n" );
document.write( "         3. 22/56<BR>\n" );
document.write( "         4. 15/56\r<BR>\n" );
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document.write( "For questions 37–39, use the data in the stem-and-leaf plot.\r<BR>\n" );
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document.write( "  37. Determine which of following best describes 64.<BR>\n" );
document.write( "         1. 64 is the range of the data<BR>\n" );
document.write( "         2. 64 is the mode of the data<BR>\n" );
document.write( "         3. 64 is the mean of the data<BR>\n" );
document.write( "         4. 64 is the median of the data\r<BR>\n" );
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document.write( "  38. Find the quartiles of the data.<BR>\n" );
document.write( "         1. 61, 67, 78<BR>\n" );
document.write( "         2. 39, 64, 74.71<BR>\n" );
document.write( "         3. 12, 67, 93<BR>\n" );
document.write( "         4. 28, 65.45\r<BR>\n" );
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document.write( "  39. How many outliers do the data have?<BR>\n" );
document.write( "         1. 1<BR>\n" );
document.write( "         2. 2<BR>\n" );
document.write( "         3. 3<BR>\n" );
document.write( "         4. none\r<BR>\n" );
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document.write( "  40. Find cot A, sec A, and csc A.<BR>\n" );
document.write( "         1. cot A = 4/3, sec A = 3/5, csc A = 4/5<BR>\n" );
document.write( "         2. cot A = 3/4, sec A = 5/4, csc A = 5/3<BR>\n" );
document.write( "         3. cot A = 3/4, sec A = 5/3, csc A = 5/4<BR>\n" );
document.write( "         4. cot A = 4/3, sec A = 4/5, csc A = 3/5\r<BR>\n" );
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document.write( "  41. Which trigonometric function should be used to solve for x?<BR>\n" );
document.write( "         1. sine<BR>\n" );
document.write( "         2. cosine<BR>\n" );
document.write( "         3. tangent<BR>\n" );
document.write( "         4. cosecant\r<BR>\n" );
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document.write( "  42. Find the values of side c and angle B. Round to the nearest hundredth.<BR>\n" );
document.write( "         1. c = 5.60, B = 45°<BR>\n" );
document.write( "         2. c = 11.95, B = 49°<BR>\n" );
document.write( "         3. c = 10.87, B = 195°<BR>\n" );
document.write( "         4. c = 13.24, B = 65°\r<BR>\n" );
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document.write( "  43. The pilot of a hot air balloon approaching a mountain peak measures that its altitude above sea level is 10,000 ft. If the mountain peak is 5 mi (26,400 ft) away and is 5,000 ft above sea level, what is the angle of depression from the balloon to the mountain peak? Round to the nearest hundredth degree.<BR>\n" );
document.write( "         1. 8.34°<BR>\n" );
document.write( "         2. 10.72°<BR>\n" );
document.write( "         3. 11.31°<BR>\n" );
document.write( "         4. 79.08°\r<BR>\n" );
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document.write( "  44. Find the measure of angles B and C using the law of sines. Round to the nearest hundredth.<BR>\n" );
document.write( "         1. B = 100.27°, C = 42.73°<BR>\n" );
document.write( "         2. B = 27.89°, C = 115.11°<BR>\n" );
document.write( "         3. B = 84.88°, C = 58.12°<BR>\n" );
document.write( "         4. B = 45.76°, C = 97.24°\r<BR>\n" );
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document.write( "  45. Using the law of cosines, find the angle measures of triangle with sides 55, 75, and 80. Round to the nearest degree.<BR>\n" );
document.write( "         1. 74°, 64°, 41°<BR>\n" );
document.write( "         2. 59°, 95°, 25°<BR>\n" );
document.write( "         3. 70°, 74°, 35°<BR>\n" );
document.write( "         4. 24°, 65°, 91°<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224072 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224072\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Just giving you answers will not really help you in the long run.<BR>\n" );
document.write( "The probability of someone answering 45 problems is close to zero.<BR>\n" );
document.write( "Break up your problems.<BR>\n" );
document.write( "Show the tutors where you're having issues.<BR>\n" );
document.write( "Show any work you've attempted.  <BR>\n" );
document.write( "Then you'll be more likely to get positive responses. <BR>\n" );
document.write( "Please re-post.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );