Maths-
General
Easy

Question

Blood volume, V, in a human can be determined using the equation straight V subscript straight B space equals space fraction numerator straight V subscript straight P over denominator 1 space minus space straight H end fraction, where VP is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume ?

  1. straight H space equals space 1 space minus space straight V subscript straight P over straight V subscript straight B
  2. straight H space equals space straight V subscript straight B over straight V subscript straight P
  3. straight H space equals space 1 space plus space straight V subscript straight B over straight V subscript straight P
  4. straight H space equals space straight V subscript straight B space minus space straight V subscript straight P

The correct answer is: straight H space equals space 1 space minus space straight V subscript straight P over straight V subscript straight B


    Given, straight V subscript straight B space equals space fraction numerator straight V subscript straight P over denominator 1 space minus space straight H end fraction
    not stretchy rightwards double arrow space straight V subscript straight B space left parenthesis 1 space minus space straight H right parenthesis space equals space straight V subscript straight P space end subscript not stretchy rightwards double arrow space 1 space minus space straight H space equals space straight V subscript straight P over straight V subscript straight B
    not stretchy rightwards double arrow space straight H space equals space 1 space minus space straight V subscript straight P over straight V subscript straight B is the required equation.

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