2. A block of wood of volume 80 cm and density 0.5g/cm3 floats in
water. What is the volume immersed in the water if d = 1 g/cm ?
3... .Pomilind ofdoneitsi
water

Volume = 40 cm³

Explanation:

Density = Mass/ Volume(1)

If Density = 0.5 g/cm³

and Volume = 80 cm³

Substituting these values into equation (1) to get the mass

0.5 = Mass/80

Mass = 0.5 * 80

Mass = 40 g

Now if density = 1 g/cm³

The mass of the wood remains constant, therefore, Mass = 40 g

Again to get the volume put the values for mass and volume into equation (1)

1 = 40/volume

Volume = 40/1

Volume = 40 cm³

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 .