What is the size of a star 20 times more massive and `L` tim…

What is the size of a star 20 times more massive and `L` times more luminous than our Sun with a surface temperature of `T` K? Please read and comply with the following input instructions. Only use the values exactly as given both in this prompt and the equation sheet for your calculations.  Do not round until your final answer.  Input Instructions: Type your answer rounding to the nearest whole number (30,000) and include the appropriate units (abbreviated with proper capitalization).  Use standard comma placement if necessary. D not use E, or scientific notation, or any words in your answer. For technical difficulties, manually type your answer in the bonus prompt at the bottom. If you do not follow these directions or do not include the units, you will lose points even if your answer is correct. 

Compare the luminosities of a `a` magnitude and `b` magnitud…

Compare the luminosities of a `a` magnitude and `b` magnitude stars*.  You will then use your answer to interpret the next question. Please read and comply with my (not optional) input instructions. Hint:  See equation sheet in the exam instructions for guidance. Input Instructions: In typing your answer, only type a number rounded to one decimal place (i.e. 350.475 would be written as 350.5).  Do not include any units, E, words, or scientific notation.  Seriously, just a number. Use standard comma placement if necessary. If your answer does not match my answer exactly, you will not receive credit. If you do not follow these input instructions even with a correct answer, you will lost points.  *If any technical issue prevents you from typing into the input box, just write out your answer following the same input instructions in the bonus section at the end of the exam.