The modern numbering system and the zero were both mathematical innovations made within which empire? Aksum
China
Gupta
Mauryan

Gupta Empire.

Explanation:

The Gupta Empire was one of the empires established in India and was in existence during the late 3rd century CE. The period was also known as the Golden Age of the Indian empire for the different developments and innovative discoveries during this period.

The numbering system as well as the concept of zero were invented by Aryabhatta, an Indian astronomer, during this period. Many other advancements such as the discovery of the different planets, the calculations of the solar and lunar eclipses, the approximate value of pi, negative numbers, calculation of square roots, etc were also seen during this period.

Thus, the correct answer is the Gupta empire.  

yes

explanation:

the fighting words doctrine, in united states constitutional law, is a limitation to freedom of speech as protected by the first amendment to the united states constitution. in 1942, the u.s. supreme court established the doctrine by a 9–0 decision in chaplinsky v. new hampshire.

the roman empire began to fall