Two stars have the same radius but have very different temperatures. The red star has a surface temperature of 2,800 K and the blue star has a surface temperature of 14,600 K. By what factor is the blue star more luminous compared to the red star? The blue star is _____ times more luminous.

Only enter your numerical answer below - Do not include units. Report your answer to 2 decimal places.

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Answer:

The Blue Star is 5.21 times more luminous

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

To Solve this problem we need to know how many times does the luminosity of the red star go into the luminosity of the Blue Star. We calculate this by dividing the Blue luminosity level from the Red luminosity level like so,

[tex]14,600 / 2,800 = 5.21[/tex] ... rounded to the nearest hundredth

So we can see that the Blue Star is 5.21 times more luminous than the Red Star.

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