A243 ml cup of whole milk contains about 45 mg of cholesterol. express the cholesterol concentration of the milk in kilograms per cubic meter (kg/m^3).

The cholesterol concentration of the milk in kilograms per cubic meter is 0.1851 kg/m³

The calculation is done as follows;

1 mg= 10⁻⁶ kg

1ml= 10⁻⁶ m³

= 45 ÷243

= 0.1851 kg/m³

Hence the cholesterol concentration of the milk is 0.1851 kg/m³

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Explanation:

We have this concentration in units of :

And we need to express it in , knowing:

Hence:

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .