garydesir1
Answered

The power generated by a wind turbine depends on the wind speed . The expression 800 v^3 gives the power in watts for a certain wind turbine at wind speed v in meters per second . If the wind speed triples , by what factor does the power generated by the wind turbine increase ?


2) Can you write the expression 49x^2y^2z^2 using only one exponent ? Show how or explain why not ?

Verified Answer :

  1. it would increase by 27 times
    in other words, 3^3 times

    2. You can rewrite the expression using one exponent because each variable is being squared and multiplied by each other
    if you had 3^2 x 4^2 it would be 144 (9 x 16)
    same as if you had (3 x 4)^2 which is 12^2, which is also 144
    the expression would be (7xyz)^2
olemakpadu

Power  = 800v³

If the speed triples, v is replaced by 3v.

  Power = 800(3v)³ =  80027v³ = 27(800v³)

 The power increases by 27 times.


2)  49x²y²z² 

The expression can be written using one exponent

49x²y²z² = 7² x² y² z²   = (7xyz)²

                                                 =  (7xyz)²

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