Radical and Rational Exponents

Part 1

The laughing kookaburra has an average weight of 19 .5 pounds (Gigas 2008

From the given formula L 2 .43 W^0 .3326 (Rockswold , 2006 , the wingspan of the kookaburra can now be estimated

Solution

Given the W (weight of the laughing kookaburra 19 .5 pounds

L 2 .43 W^0 .3326

By substituting the given W , we can now solve the value of L 2 .43 (19 .5 )^0 .3326 2 .43 2 .68575 6 .526371 feet

The laughing kookaburra has an estimated wingspan of 6 .526371 feet

Part

2

Solution

Let A be the time it takes me to complete the cutting of the grass in a week and B be the time it takes Joe to complete the said task in a week

Joe is twice as slow as me . Then Joe 's time will be B 2A

T (AB (A B

By substitution

T (A 2A (A 2A ) T 2 (A )^2 /3A

Time it will take us to finish the job : T 2A /3

Let 's say that I can do the cutting of the grass in a the whole week . So A 10 hours . Joe 's time would be : 2A 2 10 20 hours

Time it will take us to finish the job : T 2 (A )^2 /3A 2A /3 20 /3 6 .666667 hours

Reference

Gigas , D (2008 . Laughing Kookaburra . National Geographic . National Geographic Society . Retrieved September 9 , 2008 from HYPERLINK "http /animals .nationalgeographic .com /animals /birds /laughing-kookaburra .html http /animals .nationalgeographic .com /animals /birds /laughing-kookaburra html

Rockswold , G (2006 . College algebra with modeling and visualization (3rd ed . Boston , MA : Addison-Wesley

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