Helium has a density of 1.79 x 10-4 g/ml at standard temperature and pressure. a balloon has a volume of 6.3 liters. calculate the mass of helium that it would take to fill the balloon. be sure to follow significant figure rules when calculating the answer.

By definition, the density is given by:

Where,

m: Helium mass

V: helium volume

Clearing the mass we have:

Transforming the volume to milliliters we have:

Then, replacing values:

The mass of helium that would take to fill the balloon is:

the electric field is a “force field” around a charged object that illustrates the direction the electric force would push an imaginary 

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 .