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10 January, 11:07

Biologists have discovered that the shoulder height h (in centimeters) of a male Asian elephant can be modeled by h = 62.5 3 t + 75.8, where t is the age (in years) of the elephant. Determine the age of an elephant with a shoulder height of 300 centimeters.

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  1. 10 January, 13:29
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    46.16 years

    Step-by-step explanation:

    (correct equation with missing symbols: h = 62.5 * (^3√t) + 75.8)

    To find the age of an elephant that has a shoulder height of 300 centimeters, we just need to use the value of h = 300 in the equation, and then find the value of t:

    h = 62.5 * (^3√t) + 75.8

    300 = 62.5 * (^3√t) + 75.8

    62.5 * (^3√t) = 224.2

    ^3√t = 3.5872

    t = 3.5872^3 = 46.16 years

    The age of the elephant is 46.16 years.
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