which type of star has an absolute magnitude of 10 and a temperature of 15,000 K

To determine which type of star has an absolute magnitude of 10 and a temperature of 15,000 K, we can refer to the Hertzsprung-Russell (HR) diagram. The HR diagram categorizes stars based on their luminosity (absolute magnitude) and temperature.

Typically, the higher the temperature of a star, the more luminous (bright) it is. However, it is essential to consider the inherent luminosity of a star to determine its type accurately.

Stars with an absolute magnitude of 10 fall under the category of relatively dim or less luminous stars. By comparing the temperature of 15,000 K, we can determine that the star you are referring to belongs to the spectral class M.

The temperature range for M-type stars is approximately 3,000 to 4,000 K, which means that a star with a temperature of 15,000 K would not belong to this class.

In conclusion, it is not possible for a star to have an absolute magnitude of 10 and a temperature of 15,000 K within the mainstream classification system of stellar spectral classes.