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The strength of a wood beam varies inversely with its length. A beam is 33 feet long can support 1200 pounds. How much weight can a similar beam support if it is 23 feet long?

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  1. stength = k(1/length)
    if length = 33, then strength = 1200
    1200 = k/33
    k = 39600

    so : strength = 39600/length
    if length = 23
    strength = 39600/23 = 1721.7

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