Algebra 2

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Evaluate with nth Roots.

For mammals, the lung volume V ( in milliliters) can be modeled by V=170m^4/5 where m is the body mass ( in kilograms)/ Find the lung volume of each mammal.

Mongoose - Body Mass(kg) = 1.14
Camel - Body Mass (kg) = 229

  • Algebra 2 -

    you have the formula; plug in the number:

    V(1.14) = 170 * 1.14^4/5
    If you need to use nth roots, 1.14^4/5 = (1.14^1/5)^4 because n^1/5 is the 5th root

    1.14^1/5 = 1.02655
    1.02655^4 = 1.1105
    as a check: 1.16^0.8 = 1.1105

    So, V(1.14) = 170 * 1.1105 = 188.785

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