Acertain star has a temperature twice that of the sun and a luminosity 61 times greater than the solar value. what is its radius, in solar units?

We can use the Stephan-Boltzmann Law to relate the temperature (T), size (R), and luminosity (L) of a star to each other. The radius of the star (R) is related to luminosity (L) and temperature (T) through the relation

If the temperature of the star is twice times the sun and 64 times the luminosity of our sun we have that

Replacing we have

solar units

Therefore the radius is 1.95 solar units.

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer

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 .