Which correctly relate dark matter and dark energy to the big bang theory? Select the two correct answers.

a. Dark energy is the source of 25% of the mass of the universe.
b. Because of dark matter, gravitational interactions cause galaxies to develop.
c. Without dark energy, structures in the early universe would never have developed.
d. Through dark energy, the universe is expanding at a faster and faster rate.

b. Because of dark matter, gravitational interactions cause galaxies to develop.

d. Through dark energy, the universe is expanding at a faster and faster rate.

b. Because of dark matter, gravitational interactions cause galaxies to develop.

d. Through dark energy, the universe is expanding at a faster and faster rate.

The two correct answers that correctly relate dark matter and dark energy to the Big Bang theory are:

b. Because of dark matter, gravitational interactions cause galaxies to develop.
d. Through dark energy, the universe is expanding at a faster and faster rate.

To understand why these answers are correct, let's break them down:

a. Dark energy is the source of 25% of the mass of the universe.
This statement is not accurate. Dark energy is not a source of mass in the universe. It is a theoretical energy that is thought to be responsible for the accelerated expansion of the universe.

b. Because of dark matter, gravitational interactions cause galaxies to develop.
This is a correct statement. Dark matter is a hypothetical form of matter that does not interact with light or other forms of electromagnetic radiation. However, it does have gravitational effects on visible matter. Dark matter's gravitational pull influences the formation and development of galaxies.

c. Without dark energy, structures in the early universe would never have developed.
This statement is not accurate. While dark energy does have a significant impact on the expansion of the universe, it does not directly affect the development of structures in the early universe. The formation of structures in the early universe primarily involves the interactions between dark matter and normal matter through gravity.

d. Through dark energy, the universe is expanding at a faster and faster rate.
This is a correct statement. Dark energy is believed to be responsible for the observed accelerating expansion of the universe. As the universe expands, dark energy causes the rate of expansion to increase over time, meaning that the expansion is happening at a faster and faster rate.

In summary, the correct answers are b. Because of dark matter, gravitational interactions cause galaxies to develop. and d. Through dark energy, the universe is expanding at a faster and faster rate.