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neverforgetvivistee

  • 3 years ago

Exponential growth and decay: what exactly does 0<b<1mean? does this mean that b is a decimal?

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  1. TBates
    • 3 years ago
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    It does

  2. satellite73
    • 3 years ago
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    no it means that b is between 0 and 1

  3. lilg132
    • 3 years ago
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    which means it has to be a decimal

  4. lilg132
    • 3 years ago
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    you cant have a whole number between 0 and 1

  5. slaaibak
    • 3 years ago
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    lol

  6. satellite73
    • 3 years ago
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    really? like for example 3.14?

  7. lilg132
    • 3 years ago
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    how is 3.14 smaller then 1 and larger then 0?

  8. neverforgetvivistee
    • 3 years ago
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    and i don't really understand how the graph is supposed to be, how is it different from b > 1

  9. Geometry_Hater
    • 3 years ago
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    no it has to be between 01 and 1

  10. satellite73
    • 3 years ago
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    or perhaps the decimal \[\frac{1}{3}\]

  11. TBates
    • 3 years ago
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    I suppose it has to be of the form 1/a where a>1

  12. Geometry_Hater
    • 3 years ago
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    0 and 1 i meant

  13. satellite73
    • 3 years ago
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    point i was making is that 3.14 is a "decimal" but it is not less than 1 for that matter so is the decimal 100

  14. TBates
    • 3 years ago
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    But to get back to the actual question: if 0<b<1 then you have exponential decay: |dw:1322013206618:dw| If b>1 you have exponential growth: |dw:1322013236762:dw|

  15. neverforgetvivistee
    • 3 years ago
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    is it like 0. then whatever number?

  16. satellite73
    • 3 years ago
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    0<b<1 means just what it says. that b is between 0 and 1. it may be represented by a decimal, or a fraction or maybe an irrational number like \[\ln(2)\]

  17. neverforgetvivistee
    • 3 years ago
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    oh so reading from left to right

  18. slaaibak
    • 3 years ago
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    satellite, the 3.14 logic is flawed. the relevance of 3.14 being decimal has nothing to do with 0<b<1. but I understand your point on the fractions and logarithmic functions

  19. satellite73
    • 3 years ago
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    "decimal " is not a synonym for numbers between 0 and 1. decimal just means base ten representation

  20. neverforgetvivistee
    • 3 years ago
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    so the decimal has to be 0.whatever number?

  21. neverforgetvivistee
    • 3 years ago
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    like 0.8 or 0.08302

  22. satellite73
    • 3 years ago
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    no 5 is a decimal, 19.95 is a decimal

  23. neverforgetvivistee
    • 3 years ago
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    for the 0<b<1

  24. neverforgetvivistee
    • 3 years ago
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    are you there?

  25. slaaibak
    • 3 years ago
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    I know. but the existence of a decimal larger than 1 does not influence the existence of a decimal less than 1 and greater than 0. just read your previous message about 3.14 closely. although this is a useless debate, the definition of a decimal was just misinterpreted and I agree with you on 0<b<1 not necessarily being decimal

  26. neverforgetvivistee
    • 3 years ago
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    but what kind of decimal does it have to be? something like 0.3 and 0.30823 or something like that?

  27. slaaibak
    • 3 years ago
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    in base 10, yes. anything like 0.05878 or 0.99 or w/e. just less than 1 and more than 0

  28. neverforgetvivistee
    • 3 years ago
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    ok thanks to all of you who answered it's clear now

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