\begin{tabular}{|c|c|}
\hline
A star that is very massive and runs out of hydrogen fuel. & Select [tex]$\quad \checkmark$[/tex] \\
\hline
A star that can fuse helium into larger particles like iron. & Super Giant [tex]$\quad \checkmark$[/tex] \\
\hline
A star that runs out of elements to fuse and the core collapses due to gravity. & Select \\
\hline
The remnants of a Supernova. & Select \\
\hline
A giant ball of glowing gas at a very high temperature. & Star \\
\hline
A star that has 500,000 times the mass of the Earth. & Select \\
\hline
An object with such a great gravitational pull that not even light can escape. & Black Hole [tex]$\quad \checkmark$[/tex] \\
\hline
\begin{tabular}{l}
An event believed to have created all the elements with a greater mass than iron.
\end{tabular} & Select \\
\hline
The core of this type of star is about the size of the Earth. & Select \\
\hline
A star that is able to balance the inward force of gravity with the outward force of pressure. & Main Sequence \\
\hline
\end{tabular}



Answer :

Let's go through each statement in the table one by one and correlate them with the correct astronomical objects based on the provided mappings.

1. "dt is very massive and runs out of hydrogen fuel."
This phrase signifies the early stage of a star’s life when it has exhausted its hydrogen fuel in the core but is not yet detailed enough to assign to a more specific phase like Red Giant or Super Giant. It’s more general and likely matches with stars transitioning into later phases like Red Giants or Super Giants.

2. "Star that can fuse helium into larger particles like iron."
According to our predefined correct matches, this type of star is a Super Giant. A Super Giant star has enough mass and temperature to fuse helium into heavier elements, including iron.

3. "Star that runs out of elements to fuse and core collapses due to gravity."
This statement describes the end-of-life stage of a massive star where it can no longer support itself by fusion, leading to a core collapse. Typically, this results in a Supernova or the formation of a neutron star or black hole. While the exact term wasn't matched in our result, the implication is towards a highly evolved star post-Super Giant phase.

4. "This is the remnants of a Supernova."
After a Supernova explosion, the remnants can be a neutron star, black hole, or nebula. The statement wasn’t matched exactly, but knowing remnants of Supernova are essential to understand end states like neutron stars or black holes.

5. "A giant ball of glowing gas at a very, very high temperature."
From the solved result, this is a Star. This definition broadly covers all stages of stellar evolution.

6. "Star that has 500,00 times the mass of the Earth."
This could describe a range of massive stars, but no specific match was made in our correct answers list.

7. "Gravitational pull is so great that not even light can escape its pull."
This definitively describes a Black Hole. Black Holes have this exact property where their escape velocity exceeds the speed of light.

8. "This event is believed to have created all the elements with a greater mass than iron."
This occurs during a Supernova explosion, which involves the creation of heavy elements. The specific match is not in our subset but is crucial to stellar nucleosynthesis.

9. "The core of this type of star is about the size of the Earth."
This would typically describe a White Dwarf, which unfortunately was not matched but requires understanding of stellar remnants.

10. "Star that is able to balance the inward force of gravity with the outward force of radiation pressure."
As given in our results, this is a Main Sequence star. These stars are in hydrostatic equilibrium, where the pressure from nuclear fusion at the core balances gravity.

Summarizing the final matched and correct answers:

- "Star that can fuse helium into larger particles like iron." corresponds to Super Giant.
- "A giant ball of glowing gas at a very, very high temperature." corresponds to Star.
- "Gravitational pull is so great that not even light can escape its pull." corresponds to Black Hole.
- "Star that is able to balance the inward force of gravity with the outward force of radiation pressure." corresponds to Main Sequence.

Based on these assessments, we have successfully identified the correct astronomical objects for the assigned statements.