Recent content by kato1

  1. K

    MHB How Long to Empty Lake Erie with a Cone Cup?

    This is a bit of a stretch but do you know how the problem would differ if you had to dump out three cups per two seconds rather than one cup per one second.
  2. K

    MHB How Long to Empty Lake Erie with a Cone Cup?

    Lake Erie holds 116 cubic miles of water. Suppose you start dumping out the entire volume of Lake Erie using a cone cup. A typical cone cup has a diameter of 2.75 inches and a height of 4 inches. About how long would it take you to empty the lake if you could dump out one cup per 2 seconds? Use...
  3. K

    MHB Simpify Factored Form Equation

    Hello. I'm confused as to how you get from x^2-x+ix-x-ix+1-i^2 to x^2-2x+2 . Can you please elaborate? So far I've tried simplfying up to: =x^2-x+ix-x-ix+1-i^2 = x^2-(x-x)+(ix-ix)+(1- √ ̅-1 ) = ? Note: I substituted i^2 for √ ̅-1 . Is (1- √ ̅-1 ) =2 ? And how? Thank you again.
  4. K

    MHB Simpify Factored Form Equation

    Simplify the function f(x)= (x-(1+i))(x-(1-i)) . Is the function you wrote in factored form [ f(x)= (x-(1+i))(x-(1-i)) ] , the same as the original function in standard form [ f(x) = x^2 - 2x +2) ] ?
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