Algebra-Intermedia 2-páginas-61

Vista previa del material en texto

R1
Respuestas
Capítulo 1
Conjunto de ejercicios 1.1 1–11. Las respuestas variarán. 13. Haga toda la tarea y revise el material nuevo que se cubrirá en la
clase. 15. Vea los pasos en la página 4 de su texto. 17. Cuanto más empeño ponga en el curso, mayor provecho obtendrá de él. 19. Las
respuestas variarán.
Conjunto de ejercicios 1.2 1. Una variable es una letra que se emplea para representar diferentes números. 3. Un conjunto es
una colección de objetos. 5. Un conjunto que no tiene elementos. 7. �, es mayor que; � es mayor o igual a; �, es menor que; �, es menor
o igual a; Z, es diferente a 9. 54, 5, 66 11. Un entero puede escribirse con un denominador igual a 1. 13. Verdadero 15. Verdadero
17. Falso 19. Verdadero 21. Verdadero 23. 25. 27. 29. 31. 33. 35. 37. 39.
41. 43. 45. 47. o 49. a) 4 b) 4, 0 c)
d) e) f) 51.
53. 55.
57. 59. 61. El conjunto de los números
naturales 63. El conjunto de enteros no negativos múltiplos de 3 65. El conjunto de enteros impares 67. a) El conjunto A es el conjunto de
todas las x tal que x es un número natural menor que 7 b) 69. 71.
73. 75. 77. 79. 81. y o y 
83. 85. 87. y 89. Sí 91. No 93. Sí 95. No 97. Un ejemplo es
99. Un ejemplo es 101. a) 5Johnson, Mayfield, Labonte, Gordon, Busch, Earnhardt Jr.,
Biffle, Stewart, Gaughan6 b) Unión c) 5Johnson, Gordon, Busch6 d) Intersección 103. a) A � 5Albert, Carmen, Frank, Linda, Barbara,
Jason, David, Earl, Kate, Ingrid6 b) Unión c) 5Frank, Linda6 d) Intersección 105. a) 5China, India, Estados Unidos, Indonesia, Brasil,
Nigeria6 b) 5China, India, Estados Unidos, Rusia, Japón, Indonesia, Nigeria6 c) 5China, India, Estados Unidos6 d) 5China, India,
Estados Unidos, Indonesia6 e) 5China, India, Estados Unidos6 107. a) A � 5Alex, James6, B � 5Alex, James, George, Connor6,
C � 5Alex, Stephen6, D � 5Alex, George, Connor6 b) 5Alex6 c) Sólo Alex 109. a) 51, 3, 4, 5, 6, 76 b) 52, 3, 4, 6, 8, 96 c) 51, 2, 3, 4, 5,
6, 7, 8, 96 d) 53, 4, 66 111. a) 5x|x � 16 incluye las fracciones y los números decimales que el otro conjunto no contiene. b) 52, 3, 4, 5, ...6
c) No, ya que no es posible listar a todos los números reales mayores que 1 en forma de lista 113.
Conjunto de ejercicios 1.3 1. Dos números cuya suma es cero 3. No; no es positivo 5. Como a y están a la misma
distancia del 0 en una recta numérica, para todos los números reales, 7. Como y los valores deseados para a
son 6 y 9. el valor absoluto para cualquier número real debe ser mayor o igual a 0. 11. Las respuestas variarán. 13. Las respuestas 
variarán. 15. o 17. a) b) Las respuestas variarán. 19. Las respuestas variarán. Un ejemplo es Z
21. 5 23. 7 25. 27. 0 29. 31. 33. 35. 37. 39. 41. 43.
45. 47. 49. 51. 53. 3
55. 57. 59. 61. 63. 7.92 65. 67. 2 69. 71. 73. 75. 77. 12 79. 235.9192
81. 11 83. 1 85. 87. 89. 91. 20 93. 5 95. 97. 11 99. 101. 103. 105. 107. 77
109. 111. 0 113. Propiedad conmutativa de la suma 115. Propiedad multiplicativa del cero. 117. Propiedad asociativa de la suma.
119. Propiedad de la identidad en la multiplicación. 121. Propiedad asociativa de la multiplicación. 123. Propiedad distributiva.
125. Propiedad de la identidad en la suma 127. Propiedad del inverso en la suma. 129. Propiedad del doble negativo. 131. -6, 
1
6
-39
- 
17
45
-1
81
16
-6-20.6-4
7
3
- 
3
64
5
4
-40
17
20
-2-16.2-0.99- 
2
35
-4-22
-2, 
1
3
, ` - 
1
2
` , ` 3
5
` , ` - 
3
4
`- ƒ -6.5 ƒ , -6.1, ƒ -6.3 ƒ , ƒ6.4 ƒ , 6.8-32, - ƒ4 ƒ , 4, ƒ -7 ƒ , 15- ƒ5 ƒ , -2, -1, ƒ -3 ƒ , 4
67777=- 
5
9
-7
7
8
14 Z 3012 + 32 # 12 + 42, 
2 + 13 # 42a + b = b + a
-a
b
- 
a
b
{ },-6.
ƒ -6 ƒ = 6,ƒ6 ƒ = 6�.ƒa ƒ = ƒ -a ƒ
-aƒ0 ƒ
Mayfield
Labonte
Earnhardt Jr.
Johnson
Gordon
Busch
Biffle
Stewart
Gaughan
Pocono 500 Ford 400
A = {2, 4, 5, 8, 9}, B = {4, 5, 6, 9}e 3
2
, 
4
3
, 
5
4
, 
6
5
, 
7
6
f
x H I}{x ƒ -3 … x … 1{x ƒ -2.5 … x 6 4.2}{x ƒ -3 6 x … 5}
x H I}{x ƒx … 4x H I}{x ƒx 6 5{x ƒx Ú 1}
0 1 2 341 2 33�6
20
A = {1, 2, 3, 4, 5, 6,}
A ´ B = {-1, 0, 1, e, i, p}; A ¨ B = {-1, 0, 1}A ´ B = {0, 5, 10, 15, 20, 25, 30}; A ¨ B = { }
A ´ B = {2, 4, 6, 8, 10}; A ¨ B = { }A ¨ B = {-3, -1}A ´ B = {-4, -3, -2, -1, 0, 1, 3};
A ´ B = {1, 2, 3, 4, 5, 6}; A ¨ B = { }-2, 4, 
1
2
, 
5
9
, 0, 12, 18, -1.23, 
78
79
12, 18-2, 4, 
1
2
, 
5
9
, 0, -1.23, 
78
79
-2, 4, 0J = NJ = {1, 2, 3, 4, Á }H = {0, 7, 14, 21, Á }E = {0, 1, 2}C = {18, 20}
A = {0}77676777
133. 135. 49°F 137. 148.2 pies abajo del punto de inicio, o �148.2 pies 139. 10.1°F 141. Ganancia de $1207 143. Las respuestas
variarán. 145. $24,000 147. 84 149. 1 150. Verdadero 151. 152. a) b) c)
d) 153. a) b) 154.
Conjunto de ejercicios 1.4 1. a) Base b) Exponente 3. a) Índice b) Radicando 5. El número positivo cuyo cuadrado es igual
al radicando 7. Un número negativo elevado a una potencia impar es un número negativo. 9. Paréntesis, exponentes y radicales,
multiplicaciones y divisiones de izquierda a derecha, sumas y restas de izquierda a derecha. 11. a) Las respuestas variarán. b) 24 13. 9
15. 17. 9 19. 21. 7 23. 25. 27. 0.1 29. 0.015 31. 1.897 33. 76,183.335 35. 2.962 37. 3.250 39.
41. a) 9 b) 43. a) 100 b) 45. a) 1 b) 47. a) b) 49. a) 27 b) 51. a) b) 125 53. a)
b) 8 55. a) b) 57. 59. 61. 63. 65. 43 67. 25 69. 0 71. 73. 75. 5 77. 64
79. 16 81. 83. Indefinida 85. 87. 0 89. 91. 93. 95. 28 97. 99. 101. 103. 33
105. 107. 109. 111. 113. 115. a) 24.6 millas b) 57.4 millas 117. a) 102 pies
b) 54 pies 119. a) $623.05 b) $837.97 121. a) 9.51 mil millones de viajes b) 22.51 mil millones de viajes 123. a) $297.83 mil millones
b) $405.83 mil millones 125. a) 7.62% b) 21.78% 127. a) $1.262 mil millones b) $19,438 mil millones 129. a)
b) 130. Todos los números reales, 131. 132. 133.
134. Propiedad asociativa de la suma.
Examen de mitad de capítulo* 1. Las respuestas variarán. [1.1] 2. [1.2]
3. El conjunto de enteros no negativos múltiplos de 5. [1.2] 4. [1.2] 5. [1.2] 6. [1.2] 7. No [1.2]
8. [1.2] 9. 9.2 [1.3] 10. [1.3] 11. 256 [1.3] 12. [1.3] 13. [1.3] 14. Propiedad distributiva [1.3]
15. 0.9 [1.4] 16. a) 36 b) [1.4] 17. a) 1) Símbolos de agrupación, 2) Exponentes y radicales, 3) Multiplicaciones y divisiones de
izquierda a derecha, 4) Sumas y restas de izquierda a derecha b) [1.4] 18. 26 [1.4] 19. 4 [1.4] 20. [1.4]
Conjunto de ejercicios 1.5 1. a) b) Las respuestas variarán. 3. a) b) Las respuestas variarán.
5. a) b)Las respuestas variarán. 7. a) b) Las respuestas variarán. 9. ya que si
entonces 11. a) El opuesto de x es el recíproco de x es b) c) 13. 32 15. 9 17. 19. 125 21. 1
23. 64 25. 64 27. 29. a) b) c) d) 31. a) 2 b) c) d) 2 33. a) 5 b) c) 1 d) 35. a) 3xy
b) 1 c) 3x d) 3 37. 39. 41. 43. 45. 47. 49. 51. 53. 64 55. 57. 59.
61. 63. 3p 65. 67. 69. 71. 73. a) 4 b) 8 c) 1 d) 0 75. a) b) c) d)
77. 81 79. 81. 83. 85. 87. 89. 91. 93. 95. 97. 99. 101.
103. 105. 107. 109. 111. 113. 115. 117. 119. 121.
123. 125. 127. 129. a) b) c) o d) No es verdadero para 
131. a) El producto de un número par de factores negativos es positivo b) El producto de un número impar de factores negativos es
negativo 133. a) Sí b) Sí, ya que y 135. �3, ya que
137. �1, 3, porque y 139. 141. 144. a)
b) 145. 146. 147. -5-4
2�3
A ¨ B = { }
A ´ B = {1, 2, 3, 4, 5, 6, 9}
1
x9>2
 y19>6x9>81y5>y32-1
= 1>y21x-1>x42-1
= x5,
1y-2>y-322 = y21-x2-2
=
1
1-x22 =
1
x2x-2
=
1
x2
0 … x … 1x = 1x = 00 6 x 6 1x 6 0 o x 7 1
5m2b
n2ax2m + 2x5p + 2
xw + 7w5a - 7x7a + 327
8x21
 y9- 
64b12
a6
 c3
x4
 y8
4z12
x20
y10
z3
8x3
 y3125x9
 y3
y6
64x3
8r6
 s15
9j2
16k4- 
g12
27h9
q12
125p6
16x4
y4
9
16b2
21
16
7
10
16
x6-c3b61
81
23
120
11
10
7
12
- 
1
12
- 
3x3
 z2
y5
3x2
y68x7
 y2
-10r712
a8
5w51
m11
1
49
x21
4
1
9xy
5z4
x2
 y3
13
2m2
 n32ab39x47
y3
-1-5-2-2- 
1
9
- 
1
9
1
9
1
9
16
49
1
81
-xx-1; 
1
x
1
x
-x;x =
1
5
1
x
= 5,x =
1
5
,a a
b
bm
=
am
bm , b Z 01ab2m = am
 bm
a0
= 1, a Z 0am # an
= am + n
5
2
-14
-36
-3- 
4
13
7
30
-15, ƒ -6 ƒ , 7, ƒ -17 ƒ
{x ƒ -5 … x 6 2}7
3
A ´ B = {-3, -2, -1, 0, 1, 2, 3, 5}, A ¨ B = {-1, 1}
- ƒ6 ƒ , -4, - ƒ -2 ƒ , 0, ƒ -5 ƒ6, -6a Ú 0�A ´B = {a, b, c, d, f, g, h}
A ¨ B = {b, c, f}
ax + 3
2y
b 2
- 3, 1613x + 62 - 9, 81
7y - 14
2
, 14
3
2
-5
-90-9-41
1
4
242
5
- 
10
3
-4
27
5
-10
1
2
- 
5
16
-22.221-19-7- 
8
125
8
125
-8-125-27- 
1
9
1
9
-1-100-9
-0.723-3-6- 
81
625
-9
5�4
{4, 7}{1, 4, 7, 9, 12, 15}3, 4, -2, 
5
6
, 111, 0
1113, 4, -2, 
5
6
, 03, 4, -2, 0{1, 2, 3, 4, Á }
22
7
, - 
7
22
R2 Respuestas
* Los números entre corchetes después de la respuesta, indican la sección en que se estudió el material.
Respuestas R3
Conjunto de ejercicios 1.6
1. Un número mayor o igual a 1 y menor que 10 multiplicado por una potencia de 10 3. 1 � 10�2, ya que 1 � 10�2 � 0.01 y
5. 7. 9. 11. 13. 15. 17. 31,000
19. 0.0000213 21. 0.917 23. 8,000,000 25. 203,000 27. 1,000,000 29. 240,000,000 31. 0.021 33. 0.000027 35. 11,480
37. 0.0003 39. 0.0000006734 41. 43. 45. 47. 49. 51.
53. 55. 57. 59. 61. 63. 65.
67. 69. 71. 73. 75. 77. 79. a) Reste 1 del exponente
b) Reste 2 del exponente c) Reste 6 del exponente d) 81. a) o 10,000 b) o 472,500 c) El error
en la parte d) ya que la respuesta se redondea por más 83. 30,000 horas 85. a) personas b)
87. a) b) 89. 132 personas/kilómetro cuadrado 91. a) 2.1 � 108 libras b) 3.99 � 109 libras
93. a) 994 millones b) L20.01% c) L348.6 personas/milla cuadrada d) L81.8 personas/milla cuadrada 95. a) $6.9 � 1010 b) $8.28 � 1011
c) $2.139 � 1012 97. a) 6.03 � 107 kilómetros cuadrados b) 4.4 � 106 kilómetros cuadrados.
Ejercicios de repaso del capítulo 1 1. 2. 3. Sí 4. Sí 5. No 6. Sí 7. 4, 6 8. 4, 6, 0
9. 10. 11. 12. 13. Falso 14. Verdadero
15. Verdadero 16. Verdadero 17. 18.
19. 20. 21.
22. 23. 24. 25. 26. 27. 28. 29. 30.
31. 32. 33. 34. 35. 36. 37.
38. 39. Propiedad distributiva 40. Propiedad conmutativa de la multiplicación 41. Propiedad asociativa de la suma
42. Propiedad de la identidad para la suma 43. Propiedad asociativa de la multiplicación 44. Propiedad del doble negativo 45. Propiedad
multiplicativa del cero 46. Propiedad del inverso de la suma 47. Propiedad del inverso en la multiplicación 48. Propiedad de la identidad
para la suma 49. 14 50. 9 51. 11 52. 53. 1 54. 21 55. 9 56. 57. 15 58. 34 59. 6 60. 64 61. Indefinida 62.
63. 22 64. 65. a) $816.37 millones b) $7,223.73 millones 66. a) 944.53 toneladas-millas b) 2135.65 toneladas millas 67. 32
68. 69. 70. 71. 72. 73. 74. 8 75. 76. 77. 78. 79. 80. 81. 82.
83. 84. 85. 86. 87. 88. 89. 90. 91. 92. 93. 94.
95. 96. 97. 98. 99. 30,000 100. 0.03 101. 200,000,000 102. 2000
103. a) b) c) 104. a) 14,000,000,000 b) 14 mil millones de kilómetros c) 5.0 � 108 kilómetros o
500,000,000 kilómetros d) 8.4 � 109 millas u 8,400,000,000 millas
Ejercicios de práctica del capítulo 1 1. [1.2] 2. Falso [1.2] 3. Verdadero [1.2]
4. [1.2] 5. [1.2] 6.
[1.2] 7. [1.2] 8. [1.2] 9. [1.2] 10. [1.3]
11. Propiedad asociativa de la suma [1.3] 12. Propiedad conmutativa de la suma [1.3] 13. 2 [1.4] 14. 33 [1.4] 15. Indefinida [1.4]
16. [1.4] 17. 17 [1.4] 18. a) 304 pies b) 400 pies [1.4] 19. [1.5] 20. [1.5] 21. [1.5] 22. [1.5]
23. [1.6] 24. 260,000,000 [1.6] 25. a) b) y mayores: [1.6]
Capítulo 2
Cómo usar su calculadora, 2.1 1. No 2. Sí
Conjunto de ejercicios 2.1 1. Los términos de una expresión son las partes que se suman. 3. a) b) c) 5. a) Los 
términos semejantes tienen las mismas variables y exponentes. b) No; el exponente de x en cada término es diferente. 7. No, 4 no hace que
la ecuación sea verdadera. 9. Si a � b, entonces a � c � b � c. 11. a) Un número infinito de soluciones. b) 13. a) Las respuestas
variarán. b) 15. Propiedad simétrica 17. Propiedad transitiva 19. Propiedad reflexiva 21. Propiedad de suma de la igualdad-12
�
- 
3
5
-1
1
4
1.6008 * 1090–14: 1.794 * 109, 15–64: 5.8052 * 109, 659.2 * 1093.89 * 108
- 
y21
27x12
4c2
5ab5
16
m6
 n4
1
9
- 
37
22
- ƒ4 ƒ , -2, ƒ3 ƒ , 9
�2 �1 0 15.2�2.3
A ´ B = {1, 3, 5, 7, Á }; A ¨ B = {3, 5, 7, 9, 11}
A ´ B = {5, 7, 8, 9, 10, 11, 14}: A ¨ B = {8, 10}- 
3
5
, 2, -4, 0, 
19
12
, 2.57, 18, 12, -1.92- 
3
5
, 2, -4, 0, 
19
12
, 2.57, -1.92
A = {6, 7, 8, 9, Á }
L1.28$4.6 * 106$1.7 * 106
1.0 * 10-61.83 * 1054.6 * 1057.42 * 10-5
- 
x6
 z2
8y2
9x10
4y14
 z12
625x4
 y4
z20
n6
4m4
m9
27
z4
25x2
 y6- 
8a3
b9
 c6
p14
q12
x10
9y264a3
 b33m
n4
g5
h5
 j14
3
xy9
3y7
x5
14
v3
 w3-15x3
 y4
y2
x
27
8
7
4
81m61
125
1
c3b9y7a8x5
-67
8
3
-49-5
-2, 0, ƒ16 ƒ , ƒ -2.3 ƒ
-4, - ƒ -3 ƒ , 5, 6-7, -3, ƒ -3 ƒ , ƒ -7 ƒ-2, 3, ƒ -5 ƒ , ƒ -10 ƒ0, 
3
5
, 2.7, ƒ -3 ƒ-p, -3, 3, p77
76=666
2.4�1.3�2
5
A ´ B = {3, 4, 5, 6, 9, 10, 11, 12}; A ¨ B = {9, 10}A ´ B = {1, 2, 3, 4, Á }; A ¨ B = { }
A ´ B = {2, 3, 4, 5, 6, 7, 8, 9}; A ¨ B = { }A ´ B = {1, 2, 3, 4, 5, 6, 8, 10}; A ¨ B = {2, 4, 6}
-2, 4, 6, 
1
2
, 17, 13, 0, 
15
27
, - 
1
5
, 1.4717, 13-2, 4, 6, 
1
2
, 0, 
15
27
, - 
1
5
, 1.47-2, 4, 6, 0
{0, 3, 6, 9, Á }{4, 5, 6, 7, 8}
L$39,554.811.1728 * 1013, 2.965 * 108
L4.6%L6.1485 * 109
4.725 * 1051.0 * 1046.58 * 10-10
1.0 * 10-91.58 * 10-51.0 * 10-59.1 * 10125.28 * 10102.4 * 106
8.5 * 1083.333 * 10607.604 * 10-273.115 * 10-255.337 * 1021.056 * 1039.369 * 1014
3.0 * 1004.8 * 1051.645 * 10123.0 * 10-85.0 * 1031.5 * 10-5
1.06 * 10-45.78 * 1061.86 * 10-67.6 * 1054.1 * 10-23.7 * 1031 * 10-3
= 0.001.
<<
 /ASCII85EncodePages false
 /AllowTransparency false
 /AutoPositionEPSFiles true
 /AutoRotatePages /None
 /Binding /Left
 /CalGrayProfile (Gray Gamma 1.8)
 /CalRGBProfile (Apple RGB)
 /CalCMYKProfile (U.S. Sheetfed Uncoated v2)
 /sRGBProfile (sRGB IEC61966-2.1)
 /CannotEmbedFontPolicy /Warning
 /CompatibilityLevel 1.4
 /CompressObjects /Off
 /CompressPages true
 /ConvertImagesToIndexed true
 /PassThroughJPEGImages true
 /CreateJDFFile false
 /CreateJobTicket false
 /DefaultRenderingIntent /Default
 /DetectBlends true
 /DetectCurves 0.1000
 /ColorConversionStrategy /LeaveColorUnchanged
 /DoThumbnails false
 /EmbedAllFonts true
 /EmbedOpenType false
 /ParseICCProfilesInComments true
 /EmbedJobOptions true
 /DSCReportingLevel 0
 /EmitDSCWarnings false
 /EndPage -1
 /ImageMemory 1048576
 /LockDistillerParams false
 /MaxSubsetPct 100
 /Optimize true
 /OPM 1
 /ParseDSCComments true
 /ParseDSCCommentsForDocInfo true
 /PreserveCopyPage true
 /PreserveDICMYKValues true
 /PreserveEPSInfo true
 /PreserveFlatness true
 /PreserveHalftoneInfo false
 /PreserveOPIComments false
 /PreserveOverprintSettings true
 /StartPage 1
 /SubsetFonts true
 /TransferFunctionInfo /Remove
 /UCRandBGInfo /Preserve
 /UsePrologue false
 /ColorSettingsFile (Color Management Off)
 /AlwaysEmbed [ true
 ]
 /NeverEmbed [ true
 ]
 /AntiAliasColorImages false
 /CropColorImages true
 /ColorImageMinResolution 150
 /ColorImageMinResolutionPolicy /OK
 /DownsampleColorImages true
 /ColorImageDownsampleType /Bicubic
 /ColorImageResolution 300
 /ColorImageDepth -1
 /ColorImageMinDownsampleDepth 1
 /ColorImageDownsampleThreshold 1.50000
 /EncodeColorImages true
 /ColorImageFilter /DCTEncode
 /AutoFilterColorImages true
 /ColorImageAutoFilterStrategy /JPEG
 /ColorACSImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /ColorImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /JPEG2000ColorACSImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /JPEG2000ColorImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /AntiAliasGrayImages false
 /CropGrayImages true
 /GrayImageMinResolution 150
 /GrayImageMinResolutionPolicy /OK
 /DownsampleGrayImages true
 /GrayImageDownsampleType /Bicubic
 /GrayImageResolution 300
 /GrayImageDepth -1
 /GrayImageMinDownsampleDepth 2
 /GrayImageDownsampleThreshold 1.50000
 /EncodeGrayImages true
 /GrayImageFilter /DCTEncode
 /AutoFilterGrayImages true
 /GrayImageAutoFilterStrategy /JPEG
 /GrayACSImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /GrayImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /JPEG2000GrayACSImageDict <<
 /TileWidth256
 /TileHeight 256
 /Quality 30
 >>
 /JPEG2000GrayImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /AntiAliasMonoImages false
 /CropMonoImages true
 /MonoImageMinResolution 1200
 /MonoImageMinResolutionPolicy /OK
 /DownsampleMonoImages true
 /MonoImageDownsampleType /Bicubic
 /MonoImageResolution 1200
 /MonoImageDepth -1
 /MonoImageDownsampleThreshold 1.50000
 /EncodeMonoImages true
 /MonoImageFilter /FlateEncode
 /MonoImageDict <<
 /K -1
 >>
 /AllowPSXObjects false
 /CheckCompliance [
 /None
 ]
 /PDFX1aCheck false
 /PDFX3Check false
 /PDFXCompliantPDFOnly false
 /PDFXNoTrimBoxError true
 /PDFXTrimBoxToMediaBoxOffset [
 0.00000
 0.00000
 0.00000
 0.00000
 ]
 /PDFXSetBleedBoxToMediaBox true
 /PDFXBleedBoxToTrimBoxOffset [
 0.00000
 0.00000
 0.00000
 0.00000
 ]
 /PDFXOutputIntentProfile (None)
 /PDFXOutputConditionIdentifier ()
 /PDFXOutputCondition ()
 /PDFXRegistryName (http://www.color.org)
 /PDFXTrapped /Unknown
 /Description <<
 /JPN <FEFF3053306e8a2d5b9a306f30019ad889e350cf5ea6753b50cf3092542b308030d730ea30d730ec30b9537052377528306e00200050004400460020658766f830924f5c62103059308b3068304d306b4f7f75283057307e305930023053306e8a2d5b9a30674f5c62103057305f00200050004400460020658766f8306f0020004100630072006f0062006100740020304a30883073002000520065006100640065007200200035002e003000204ee5964d30678868793a3067304d307e305930023053306e8a2d5b9a306b306f30d530a930f330c8306e57cb30818fbc307f304c5fc59808306730593002>
 /FRA <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>
 /DEU <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>
 /PTB <FEFF005500740069006c0069007a006500200065007300740061007300200063006f006e00660069006700750072006100e700f5006500730020007000610072006100200063007200690061007200200064006f00630075006d0065006e0074006f0073002000500044004600200063006f006d00200075006d00610020007200650073006f006c007500e700e3006f00200064006500200069006d006100670065006d0020007300750070006500720069006f0072002000700061007200610020006f006200740065007200200075006d00610020007100750061006c0069006400610064006500200064006500200069006d0070007200650073007300e3006f0020006d0065006c0068006f0072002e0020004f007300200064006f00630075006d0065006e0074006f0073002000500044004600200070006f00640065006d0020007300650072002000610062006500720074006f007300200063006f006d0020006f0020004100630072006f006200610074002c002000520065006100640065007200200035002e00300020006500200070006f00730074006500720069006f0072002e00200045007300740061007300200063006f006e00660069006700750072006100e700f50065007300200072006500710075006500720065006d00200069006e0063006f00720070006f0072006100e700e3006f00200064006500200066006f006e00740065002e>
 /DAN <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>
 /NLD <FEFF004700650062007200750069006b002000640065007a006500200069006e007300740065006c006c0069006e00670065006e0020006f006d0020005000440046002d0064006f00630075006d0065006e00740065006e0020007400650020006d0061006b0065006e0020006d00650074002000650065006e00200068006f00670065002000610066006200650065006c00640069006e00670073007200650073006f006c007500740069006500200076006f006f0072002000610066006400720075006b006b0065006e0020006d0065007400200068006f006700650020006b00770061006c0069007400650069007400200069006e002000650065006e002000700072006500700072006500730073002d006f006d0067006500760069006e0067002e0020004400650020005000440046002d0064006f00630075006d0065006e00740065006e0020006b0075006e006e0065006e00200077006f007200640065006e002000670065006f00700065006e00640020006d006500740020004100630072006f00620061007400200065006e002000520065006100640065007200200035002e003000200065006e00200068006f006700650072002e002000420069006a002000640065007a006500200069006e007300740065006c006c0069006e00670020006d006f006500740065006e00200066006f006e007400730020007a0069006a006e00200069006e006700650073006c006f00740065006e002e>
 /ESP <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>
 /SUO <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>/ITA <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>
 /NOR <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>
 /SVE <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>
 /ENU <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>
 >>
>> setdistillerparams
<<
 /HWResolution [2400 2400]
 /PageSize [612.000 792.000]
>> setpagedevice
<<
 /ASCII85EncodePages false
 /AllowTransparency false
 /AutoPositionEPSFiles true
 /AutoRotatePages /None
 /Binding /Left
 /CalGrayProfile (Gray Gamma 1.8)
 /CalRGBProfile (Apple RGB)
 /CalCMYKProfile (U.S. Sheetfed Uncoated v2)
 /sRGBProfile (sRGB IEC61966-2.1)
 /CannotEmbedFontPolicy /Warning
 /CompatibilityLevel 1.4
 /CompressObjects /Off
 /CompressPages true
 /ConvertImagesToIndexed true
 /PassThroughJPEGImages true
 /CreateJDFFile false
 /CreateJobTicket false
 /DefaultRenderingIntent /Default
 /DetectBlends true
 /DetectCurves 0.1000
 /ColorConversionStrategy /LeaveColorUnchanged
 /DoThumbnails false
 /EmbedAllFonts true
 /EmbedOpenType false
 /ParseICCProfilesInComments true
 /EmbedJobOptions true
 /DSCReportingLevel 0
 /EmitDSCWarnings false
 /EndPage -1
 /ImageMemory 1048576
 /LockDistillerParams false
 /MaxSubsetPct 100
 /Optimize true
 /OPM 1
 /ParseDSCComments true
 /ParseDSCCommentsForDocInfo true
 /PreserveCopyPage true
 /PreserveDICMYKValues true
 /PreserveEPSInfo true
 /PreserveFlatness true
 /PreserveHalftoneInfo false
 /PreserveOPIComments false
 /PreserveOverprintSettings true
 /StartPage 1
 /SubsetFonts true
 /TransferFunctionInfo /Remove
 /UCRandBGInfo /Preserve
 /UsePrologue false
 /ColorSettingsFile (Color Management Off)
 /AlwaysEmbed [ true
 ]
 /NeverEmbed [ true
 ]
 /AntiAliasColorImages false
 /CropColorImages true
 /ColorImageMinResolution 150
 /ColorImageMinResolutionPolicy /OK
 /DownsampleColorImages true
 /ColorImageDownsampleType /Bicubic
 /ColorImageResolution 300
 /ColorImageDepth -1
 /ColorImageMinDownsampleDepth 1
 /ColorImageDownsampleThreshold 1.50000
 /EncodeColorImages true
 /ColorImageFilter /DCTEncode
 /AutoFilterColorImages true
 /ColorImageAutoFilterStrategy /JPEG
 /ColorACSImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /ColorImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /JPEG2000ColorACSImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /JPEG2000ColorImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /AntiAliasGrayImages false
 /CropGrayImages true
 /GrayImageMinResolution 150
 /GrayImageMinResolutionPolicy /OK
 /DownsampleGrayImages true
 /GrayImageDownsampleType /Bicubic
 /GrayImageResolution 300
 /GrayImageDepth -1
 /GrayImageMinDownsampleDepth 2
 /GrayImageDownsampleThreshold 1.50000
 /EncodeGrayImages true
 /GrayImageFilter /DCTEncode
 /AutoFilterGrayImages true
 /GrayImageAutoFilterStrategy /JPEG
 /GrayACSImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /GrayImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /JPEG2000GrayACSImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /JPEG2000GrayImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /AntiAliasMonoImages false
 /CropMonoImages true
 /MonoImageMinResolution 1200
 /MonoImageMinResolutionPolicy /OK
 /DownsampleMonoImages true
 /MonoImageDownsampleType /Bicubic
 /MonoImageResolution 1200
 /MonoImageDepth -1
 /MonoImageDownsampleThreshold 1.50000
 /EncodeMonoImages true
 /MonoImageFilter /FlateEncode
 /MonoImageDict <<
 /K -1
 >>
 /AllowPSXObjects false
 /CheckCompliance [
 /None
 ]
 /PDFX1aCheck false
 /PDFX3Check false
 /PDFXCompliantPDFOnly false
 /PDFXNoTrimBoxError true
 /PDFXTrimBoxToMediaBoxOffset [
 0.00000
 0.00000
 0.00000
 0.00000
 ]
 /PDFXSetBleedBoxToMediaBox true
 /PDFXBleedBoxToTrimBoxOffset [
 0.00000
 0.00000
 0.00000
 0.00000
 ]
 /PDFXOutputIntentProfile (None)
 /PDFXOutputConditionIdentifier ()
 /PDFXOutputCondition ()
 /PDFXRegistryName (http://www.color.org)
 /PDFXTrapped /Unknown
 /Description <<
 /JPN <FEFF3053306e8a2d5b9a306f30019ad889e350cf5ea6753b50cf3092542b308030d730ea30d730ec30b9537052377528306e00200050004400460020658766f830924f5c62103059308b3068304d306b4f7f75283057307e305930023053306e8a2d5b9a30674f5c62103057305f00200050004400460020658766f8306f0020004100630072006f0062006100740020304a30883073002000520065006100640065007200200035002e003000204ee5964d30678868793a3067304d307e305930023053306e8a2d5b9a306b306f30d530a930f330c8306e57cb30818fbc307f304c5fc59808306730593002>/FRA <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>
 /DEU <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>
 /PTB <FEFF005500740069006c0069007a006500200065007300740061007300200063006f006e00660069006700750072006100e700f5006500730020007000610072006100200063007200690061007200200064006f00630075006d0065006e0074006f0073002000500044004600200063006f006d00200075006d00610020007200650073006f006c007500e700e3006f00200064006500200069006d006100670065006d0020007300750070006500720069006f0072002000700061007200610020006f006200740065007200200075006d00610020007100750061006c0069006400610064006500200064006500200069006d0070007200650073007300e3006f0020006d0065006c0068006f0072002e0020004f007300200064006f00630075006d0065006e0074006f0073002000500044004600200070006f00640065006d0020007300650072002000610062006500720074006f007300200063006f006d0020006f0020004100630072006f006200610074002c002000520065006100640065007200200035002e00300020006500200070006f00730074006500720069006f0072002e00200045007300740061007300200063006f006e00660069006700750072006100e700f50065007300200072006500710075006500720065006d00200069006e0063006f00720070006f0072006100e700e3006f00200064006500200066006f006e00740065002e>
 /DAN <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>
 /NLD <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>
 /ESP <FEFF0055007300650020006500730074006100730020006f007000630069006f006e006500730020007000610072006100200063007200650061007200200064006f00630075006d0065006e0074006f0073002000500044004600200063006f006e0020006d00610079006f00720020007200650073006f006c00750063006900f3006e00200064006500200069006d006100670065006e00200071007500650020007000650072006d006900740061006e0020006f006200740065006e0065007200200063006f007000690061007300200064006500200070007200650069006d0070007200650073006900f3006e0020006400650020006d00610079006f0072002000630061006c0069006400610064002e0020004c006f007300200064006f00630075006d0065006e0074006f00730020005000440046002000730065002000700075006500640065006e00200061006200720069007200200063006f006e0020004100630072006f00620061007400200079002000520065006100640065007200200035002e003000200079002000760065007200730069006f006e0065007300200070006f00730074006500720069006f007200650073002e0020004500730074006100200063006f006e0066006900670075007200610063006900f3006e0020007200650071007500690065007200650020006c006100200069006e0063007200750073007400610063006900f3006e0020006400650020006600750065006e007400650073002e>
 /SUO <FEFF004e00e4006900640065006e002000610073006500740075007300740065006e0020006100760075006c006c006100200076006f0069006400610061006e0020006c0075006f006400610020005000440046002d0061007300690061006b00690072006a006f006a0061002c0020006a006f006900640065006e002000740075006c006f0073007400750073006c00610061007400750020006f006e0020006b006f0072006b006500610020006a00610020006b007500760061006e0020007400610072006b006b007500750073002000730075007500720069002e0020005000440046002d0061007300690061006b00690072006a0061007400200076006f0069006400610061006e0020006100760061007400610020004100630072006f006200610074002d0020006a0061002000520065006100640065007200200035002e00300020002d006f0068006a0065006c006d0061006c006c0061002000740061006900200075007500640065006d006d0061006c006c0061002000760065007200730069006f006c006c0061002e0020004e00e4006d00e4002000610073006500740075006b0073006500740020006500640065006c006c00790074007400e4007600e4007400200066006f006e0074007400690065006e002000750070006f00740075007300740061002e>
 /ITA <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>/NOR <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>
 /SVE <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>
 /ENU <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>
 >>
>> setdistillerparams
<<
 /HWResolution [2400 2400]
 /PageSize [612.000 792.000]
>> setpagedevice
<<
 /ASCII85EncodePages false
 /AllowTransparency false
 /AutoPositionEPSFiles true
 /AutoRotatePages /None
 /Binding /Left
 /CalGrayProfile (Gray Gamma 1.8)
 /CalRGBProfile (Apple RGB)
 /CalCMYKProfile (U.S. Sheetfed Uncoated v2)
 /sRGBProfile (sRGB IEC61966-2.1)
 /CannotEmbedFontPolicy /Warning
 /CompatibilityLevel 1.4
 /CompressObjects /Off
 /CompressPages true
 /ConvertImagesToIndexed true
 /PassThroughJPEGImages true
 /CreateJDFFile false
 /CreateJobTicket false
 /DefaultRenderingIntent /Default
 /DetectBlends true
 /DetectCurves 0.1000
 /ColorConversionStrategy /LeaveColorUnchanged
 /DoThumbnails false
 /EmbedAllFonts true
 /EmbedOpenType false
 /ParseICCProfilesInComments true
 /EmbedJobOptions true
 /DSCReportingLevel 0
 /EmitDSCWarnings false
 /EndPage -1
 /ImageMemory 1048576
 /LockDistillerParams false
 /MaxSubsetPct 100
 /Optimize true
 /OPM 1
 /ParseDSCComments true
 /ParseDSCCommentsForDocInfo true
 /PreserveCopyPage true
 /PreserveDICMYKValues true
 /PreserveEPSInfo true
 /PreserveFlatness true
 /PreserveHalftoneInfo false
 /PreserveOPIComments false
 /PreserveOverprintSettings true
 /StartPage 1
 /SubsetFonts true
 /TransferFunctionInfo /Remove
 /UCRandBGInfo /Preserve
 /UsePrologue false
 /ColorSettingsFile (Color Management Off)
 /AlwaysEmbed [ true
 ]
 /NeverEmbed [ true
 ]
 /AntiAliasColorImages false
 /CropColorImages true
 /ColorImageMinResolution 150
 /ColorImageMinResolutionPolicy /OK
 /DownsampleColorImages true
 /ColorImageDownsampleType /Bicubic
 /ColorImageResolution 300
 /ColorImageDepth -1
 /ColorImageMinDownsampleDepth 1
 /ColorImageDownsampleThreshold 1.50000
 /EncodeColorImages true
 /ColorImageFilter /DCTEncode
 /AutoFilterColorImages true
 /ColorImageAutoFilterStrategy /JPEG
 /ColorACSImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /ColorImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /JPEG2000ColorACSImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /JPEG2000ColorImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /AntiAliasGrayImages false
 /CropGrayImages true
 /GrayImageMinResolution 150
 /GrayImageMinResolutionPolicy /OK
 /DownsampleGrayImages true
 /GrayImageDownsampleType /Bicubic
 /GrayImageResolution 300
 /GrayImageDepth -1
 /GrayImageMinDownsampleDepth 2
 /GrayImageDownsampleThreshold 1.50000
 /EncodeGrayImages true
 /GrayImageFilter /DCTEncode
 /AutoFilterGrayImages true
 /GrayImageAutoFilterStrategy /JPEG
 /GrayACSImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /GrayImageDict <<
 /QFactor 0.15
 /HSamples [1 1 1 1] /VSamples [1 1 1 1]
 >>
 /JPEG2000GrayACSImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /JPEG2000GrayImageDict <<
 /TileWidth 256
 /TileHeight 256
 /Quality 30
 >>
 /AntiAliasMonoImages false
 /CropMonoImages true
 /MonoImageMinResolution 1200
 /MonoImageMinResolutionPolicy /OK
 /DownsampleMonoImages true
 /MonoImageDownsampleType /Bicubic
 /MonoImageResolution 1200
 /MonoImageDepth -1
 /MonoImageDownsampleThreshold 1.50000
 /EncodeMonoImages true
 /MonoImageFilter /FlateEncode
 /MonoImageDict <<
 /K -1
 >>
 /AllowPSXObjects false
 /CheckCompliance [
 /None
 ]
 /PDFX1aCheck false
 /PDFX3Check false
 /PDFXCompliantPDFOnly false
 /PDFXNoTrimBoxError true
 /PDFXTrimBoxToMediaBoxOffset [
 0.00000
 0.00000
 0.00000
 0.00000
 ]
 /PDFXSetBleedBoxToMediaBox true
 /PDFXBleedBoxToTrimBoxOffset [
 0.00000
 0.00000
 0.00000
 0.00000
 ]
 /PDFXOutputIntentProfile (None)
 /PDFXOutputConditionIdentifier ()
 /PDFXOutputCondition ()
 /PDFXRegistryName (http://www.color.org)
 /PDFXTrapped /Unknown
 /Description <<
 /JPN <FEFF3053306e8a2d5b9a306f30019ad889e350cf5ea6753b50cf3092542b308030d730ea30d730ec30b9537052377528306e00200050004400460020658766f830924f5c62103059308b3068304d306b4f7f75283057307e305930023053306e8a2d5b9a30674f5c62103057305f00200050004400460020658766f8306f0020004100630072006f0062006100740020304a30883073002000520065006100640065007200200035002e003000204ee5964d30678868793a3067304d307e305930023053306e8a2d5b9a306b306f30d530a930f330c8306e57cb30818fbc307f304c5fc59808306730593002>
 /FRA <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>/DEU <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>
 /PTB <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>
 /DAN <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>
 /NLD <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>
 /ESP <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>
 /SUO <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>
 /ITA <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>
 /NOR <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>/SVE <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>
 /ENU <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>
 >>
>> setdistillerparams
<<
 /HWResolution [2400 2400]
 /PageSize [612.000 792.000]
>> setpagedevice