image

    Have a query? Ask a Tutor!!

    Access to best educators and exclusive paper discussions

    Offsite CampusTurito Championship

    Can’t find what you’re looking for?

    Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

    • Homework- One to One Solutions
    • Understand concepts to solve better
    • Get your doubts solved instantly
    Maths-
    General
    Easy

    Question

    The body surface area (BSA) of a human being is used to determine doses of medication. The formula for finding BSA is BSA = square root of fraction numerator H cross times M over denominator 3600 end fraction end root ,where H is the height in centimeters and M is the mass in kilograms. A doctor calculates a particular dose of medicine for a patient whose BSA is less than 1.9. If the patient is 160 cm tall, what must the mass of the person be for the dose to be appropriate?

    hintHint:

    Substitute in the equation and solve.

    The correct answer is: 81.225

      Complete step by step solution:
      Here, BSA < 1.9 and H = 160cm
      Given that the formula for BSA = square root of fraction numerator H cross times M over denominator 3600 end fraction end root
      not stretchy rightwards double arrow square root of fraction numerator 160 cross times M over denominator 3600 end fraction end root less than 1.9
      On squaring both the sides, we get fraction numerator 160 cross times M over denominator 3600 end fraction less than 3.61
      table attributes columnspacing 1em end attributes row cell space space space space space space space not stretchy rightwards double arrow 160 M less than 12996 end cell row cell not stretchy rightwards double arrow M less than 81.225 end cell end table
      So, the mass of the person must be less than 81.225 for the dose to be appropriate.

      Related Questions to study

      General
      Maths-

      A Saving account has a balance of $1 . Savings plan A will add $1000 to an account each month , and plan B will double the amount each month ?
      a. Which plan is better in the short run ? for How long , Explain.
      b. Which plan is better in the long run ? Explain.

      A Saving account has a balance of $1 . Savings plan A will add $1000 to an account each month , and plan B will double the amount each month ?
      a. Which plan is better in the short run ? for How long , Explain.
      b. Which plan is better in the long run ? Explain.

      Maths-General
      General
      Maths-

      How can you determine whether a linear , exponential or quadratic function best models the data ?

      How can you determine whether a linear , exponential or quadratic function best models the data ?

      Maths-General
      General
      Maths-

      Solve the radical equation 13 minus fourth root of x equals 10 Check for extraneous solutions

      Solve the radical equation 13 minus fourth root of x equals 10 Check for extraneous solutions

      Maths-General
      parallel
      General
      Maths-

      What is the error in the student’s reasoning below ? Describe how to correct the statement ?

      What is the error in the student’s reasoning below ? Describe how to correct the statement ?

      Maths-General
      General
      Maths-

      Compare the functions f(x)= 3X+2 , g(x)= 2x2+3 and h(x)= 2x . Show that as x increases , h(x) will eventually exceed f(x) and g(x).

      Compare the functions f(x)= 3X+2 , g(x)= 2x2+3 and h(x)= 2x . Show that as x increases , h(x) will eventually exceed f(x) and g(x).

      Maths-General
      General
      Maths-

      Solve the radical equation square root of 15 minus x end root minus square root of 6 x end root equals negative 3

      Solve the radical equation square root of 15 minus x end root minus square root of 6 x end root equals negative 3

      Maths-General
      parallel
      General
      Maths-

      Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

      Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

      Maths-General
      General
      Maths-

      Solve the radical equationsquare root of 6 x minus 20 end root minus x equals negative 6. Check for extraneous solutions

      Solve the radical equationsquare root of 6 x minus 20 end root minus x equals negative 6. Check for extraneous solutions

      Maths-General
      General
      Maths-

      Use the functions shown :
      a. Evaluate each function for x=6 , x=8 and x=12
      b. When will function h exceed function f and function g ?

      Use the functions shown :
      a. Evaluate each function for x=6 , x=8 and x=12
      b. When will function h exceed function f and function g ?

      Maths-General
      parallel
      General
      Maths-

      The graph shows population models for three cities , based on data over a five year period. If the populations continue to increase in the same ways , when will the population of city C exceed the populations of the other two cities ?

      The graph shows population models for three cities , based on data over a five year period. If the populations continue to increase in the same ways , when will the population of city C exceed the populations of the other two cities ?

      Maths-General
      General
      Maths-

      Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

      Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

      Maths-General
      General
      Maths-

      Carmen is considering two plans to pay off a $10,000 loan . The table show the amount remaining on the loan after x years . Which plan should carmen use to pay off the loan as soon as possible ? Justify your answer using a function model ?

      Carmen is considering two plans to pay off a $10,000 loan . The table show the amount remaining on the loan after x years . Which plan should carmen use to pay off the loan as soon as possible ? Justify your answer using a function model ?

      Maths-General
      parallel
      General
      Maths-

      Solve the radical equation square root of x plus 4 end root minus square root of 3 x end root equals negative 2. Check for extraneous solutions

      Solve the radical equation square root of x plus 4 end root minus square root of 3 x end root equals negative 2. Check for extraneous solutions

      Maths-General
      General
      Maths-

      Solve the radical equation square root of 5 x plus 1 end root plus 1 equals x. Check for extraneous solutions

      Solve the radical equation square root of 5 x plus 1 end root plus 1 equals x. Check for extraneous solutions

      Maths-General
      General
      Maths-

      Solve the radical equation square root of 2 x end root equals 12. Check for extraneous solutions

      Solve the radical equation square root of 2 x end root equals 12. Check for extraneous solutions

      Maths-General
      parallel

      card img

      With Turito Academy.

      card img

      With Turito Foundation.

      card img

      Get an Expert Advice From Turito.

      Turito Academy

      card img

      With Turito Academy.

      Test Prep

      card img

      With Turito Foundation.