inverse variation

  1. math_celebrity

    Write an equation that relates the quantities. G varies jointly with t and q and inversely with the

    Write an equation that relates the quantities. G varies jointly with t and q and inversely with the cube of w . The constant of proportionality is 8.25 . Varies jointly or directly means we multiply Varies inversely means divide The cube of w means we raise w to the 3rd power: w^3 Using k =...
  2. math_celebrity

    r varies directly with s and inversely with the square root of t

    r varies directly with s and inversely with the square root of t Varies directly means we multiply Varies inversely means we divide There exists a constant k such that: r = ks/sqrt(t)
  3. math_celebrity

    z varies inversely as the square of t. if z=4 when t=2, find z when t is 10

    z varies inversely as the square of t. if z=4 when t=2, find z when t is 10 Varies inversely means there exists a constant k such that: z = k/t^2 If z = 4 when t = 2, we have: 4 = k/2^2 4 = k/4 Cross multiply and we get: k = 4 * 4 k = 16 Now the problem asks to find z when t is 10: z = k/t^2...
  4. math_celebrity

    F varies directly as g and inversely as r^2

    F varies directly as g and inversely as r^2 Givens and assumptions We take a constant of variation called k. Varies directly means we multiply our variable term by k Varies inversely means we divide k by our variable term The phrase varies directly or varies inversely means we have a constant...
  5. math_celebrity

    a varies inversely with b, c and d

    a varies inversely with b, c and d Varies inversely means we divide. Given a constant, k, we have: a = k/bcd
  6. math_celebrity

    If p is inversely proportional to the square of q, and p is 2 when q is 4, determine p when q is equ

    If p is inversely proportional to the square of q, and p is 2 when q is 4, determine p when q is equal to 2. We set up the variation equation with a constant k such that: p = k/q^2 (inversely proportional means we divide) When q is 4 and p is 2, we have: 2 = k/4^2 2 = k/16 Cross multiply: k...
  7. math_celebrity

    z varies directly with x and inversely with y

    z varies directly with x and inversely with y The phrase directly means we multiply. The phrase inversely means we divide Variation means there exists a constant k such that: z = kx/y
  8. math_celebrity

    z varies inversely with w, x, and y

    z varies inversely with w, x, and y Inversely means their exists a constant k such that: z = k/wxy
  9. math_celebrity

    m is inversely proportional to the square of p-1 when p=4 m=5 find m when p=6

    m is inversely proportional to the square of p-1 when p=4 and m=5. find m when p=6 Inversely proportional means there is a constant k such that: m = k/(p - 1)^2 When p = 4 and m = 5, we have: 5 = k/(4 - 1)^2 5 = k/3^2 5 = k/9 Cross multiply: k = 45 The problems asks for m when p = 6. And we...
  10. math_celebrity

    If y varies inversely as X and Y equals 5 when x equals 2 find X when Y is 4

    If y varies inversely as X and Y equals 5 when x equals 2 find X when Y is 4. Using our inverse variation calculator, we get x = 2.5
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