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<p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;">Un tipo de bacterias se reproducen por bipartición cada #tiempo . ¿Cuántas bacterias habrá después de #t horas?</span></p>
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<p><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">Si una bacteria se reproduce por bipartición significa que cada bacteria se parte en dos y por lo tanto se generan 2 bacterias. Considerando que este proceso se repite continuamente se define una Progresión Geométrica (P.G), de primer término 1 ( número de bacterias inicial ) y razón 2.</span></p> <p><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">La expresión que representa la reproducción de estas bacterias está dada por:</span></p> <p style="text-align: center;"> </p> <p style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo 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mathvariant=¨bold¨»§#160;«/mo»«/mrow»«/msub»«msup»«mi mathvariant=¨bold-italic¨»r«/mi»«mrow»«mi mathvariant=¨bold¨»n«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/msup»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»D«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»:«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msub»«mi mathvariant=¨bold-italic¨»a«/mi»«mrow»«mn mathvariant=¨bold¨»1«/mn»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«/mrow»«/msub»«mo mathvariant=¨bold¨»:«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»p«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»a«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»l«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»l«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»b«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mo mathvariant=¨bold¨»,«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»u«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mn mathvariant=¨bold¨»1«/mn»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi mathvariant=¨bold-italic¨»r«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»:«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»p«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»l«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»z«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi 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mathvariant=¨bold-italic¨»o«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mn mathvariant=¨bold¨»2«/mn»«mo mathvariant=¨bold¨».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msub»«mi mathvariant=¨bold-italic¨»a«/mi»«mrow»«mi mathvariant=¨bold¨»n«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«/mrow»«/msub»«mo mathvariant=¨bold¨»:«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»p«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»l«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»d«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»b«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»c«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»l«/mi»«mi mathvariant=¨bold-italic¨»u«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»g«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»d«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo 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mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»t«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»l«/mi»«mi mathvariant=¨bold-italic¨»a«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»x«/mi»«mi mathvariant=¨bold-italic¨»p«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»s«/mi»«mi mathvariant=¨bold-italic¨»i«/mi»«mi mathvariant=¨bold-italic¨»o«/mi»«mi mathvariant=¨bold-italic¨»n«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»q«/mi»«mi mathvariant=¨bold-italic¨»u«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨»r«/mi»«mi mathvariant=¨bold-italic¨»e«/mi»«mi mathvariant=¨bold-italic¨»p«/mi»«mi mathvariant=¨bold-italic¨»r«/mi»«mi 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linebreak=¨newline¨/»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«msub»«mi mathvariant=¨bold-italic¨»a«/mi»«mi mathvariant=¨bold¨»n«/mi»«/msub»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«msup»«mn mathvariant=¨bold¨»2«/mn»«mrow»«mi mathvariant=¨bold¨»n«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/msup»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»</p> <p style="text-align: center;"> </p> <p style="text-align: left;"> </p> <p style="text-align: left;"><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">Se requiere determinar cuántas bacterias habrá después de #t horas. Si consideramos que la bipartición se produce cada </span></p> <p style="text-align: left;"><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">#tiempo, entonces debemos determinar cuántas #tiempo corresponden #t horas:</span></p> <p style="text-align: left;"> </p> <p style="text-align: left;"><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»e«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»s«/mi»«mi»i«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»m«/mi»«mi»o«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»t«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»o«/mi»«mi»r«/mi»«mi»a«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»s«/mi»«mi»p«/mi»«mi»o«/mi»«mi»n«/mi»«mi»d«/mi»«mi»e«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»i«/mi»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»t«/mi»«mi»i«/mi»«mi»e«/mi»«mi»m«/mi»«mi»p«/mi»«mi»o«/mi»«/math»</span></p> <p style="text-align: left;"><span style="font-size: medium; font-family: arial, helvetica, sans-serif;"> </span></p> <p style="text-align: left;"><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">Tomando en cuenta que la primera bipartición se obtiene con «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mn»2«/mn»«/msub»«/math», debemos calcular «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mrow»«mo»#«/mo»«mi»j«/mi»«/mrow»«/msub»«/math» , es decir:</span></p> <p style="text-align: left;"> </p> <p style="text-align: center;"><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mrow»«mo»#«/mo»«mi»j«/mi»«/mrow»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«msup»«mn»2«/mn»«mrow»«mo»#«/mo»«mi»i«/mi»«/mrow»«/msup»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msub»«mi»a«/mi»«mrow»«mo»#«/mo»«mi»j«/mi»«/mrow»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«/math»</span></p> <p style="text-align: left;"> </p> <p style="text-align: left;"><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">Luego después de #t horas habrá #sol bacterias </span></p> <p style="text-align: left;"> </p> <p> </p>
No, case is unimportant
Yes, case must match
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Answer 1
Answer
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None
100%
90%
83.33333%
80%
75%
70%
66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
10%
5%
Feedback
<p><span style="font-size: medium; font-family: arial, helvetica, sans-serif;">Muy bien</span></p>
Answer 2
Answer
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None
100%
90%
83.33333%
80%
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70%
66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
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5%
Feedback
<p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;">Al parecer cometiste un error, revisa tu desarrollo y consulta a tu profesor si aún te quedan dudas.</span></p>
Answer 3
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None
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90%
83.33333%
80%
75%
70%
66.66667%
60%
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40%
33.33333%
30%
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20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
Feedback
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100%
50%
33.33333%
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20%
10%
0%
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