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    Algebra, geometry problems

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    Solve the following equations algebraically. Must show work.
    1a)
    (t^{frac{2}{3}})
    =4

    b)√(5&x) + 1 = 3
    = 3
    c) =2-
    (frac{2}{3})
    (frac{5x -3}{x-1})
    2)Solve algebraicaly
    a)
    (sqrt{x+2}-x=0)
    b)
    (4- frac{x}{x-2} = frac{-2}{x-2})
    The volume of a cube is given by
    ( V = s^{3})
    Find the length of a side of a cube ( round the answer to three decimal places if the volume is
    (800_{cm}^{}3)
    B)
    (500^{cm}3)
    4) The formula to find the wind chill temperature is given by
    (w = 33- frac{10.45 + 10sqrt{v} - v)(33-T )}{22})
    . V is wind speed in m/sec. Find the Wind Chill temperature given the following :
    A ) T = 10 degree C , V= 9m/sec
    B ) T = 0 degree C , V = 15 m/sec
    C) T = -10 degree C , V = 20m/sec.

    © BrainMass Inc. brainmass.com October 10, 2019, 6:48 am ad1c9bdddf
    https://brainmass.com/math/algebra/algebra-geometry-problems-557771

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    Solution Preview

    1.a.
    t^(2/3) = 6
    => t = 6^(3/2) = (t^3)^(1/2) = 216^(1/2) == sqrt(216) = 14.70

    1.b.
    x^(1/5) + 1 = 3
    => x^(1/5) = 2
    => x = 2^5 = 32

    1.c
    (2/3) = 2 - (5x - 3)/(x-1)
    => (5x-3)/(x-1) = 2 - 2/3 = 4/3
    => 3*(5x-3) = 4*(x-1)
    => 15x - 9 = 4x - 4
    => 15x - 4x = 9 - 4
    => 11x = 5
    => x = ...

    Solution Summary

    Four algebra and geometry problems are solved.

    $2.19