the academic style of painting exemplified by early baroque artists from the bolognese art academy relied on

Classical principles, philosophy, and styles

Classical principles and styles.

Explanation:

The "Bolognese Art Academy" was an art movement based in Bologna, Italy during the High Renaissance. This was considered an anti-Mannerism movement, as it differed from the artificiality of Mannerism. Some of the most important members of this school were the Carracci family, Francesco Albani, Domenichino, Giovanni Lanfranci, Guercino, and Guido Reni. The school focused on motifs from the Roman school, while adopting many innovative methods inspired by the shools of Rome, Florence and Venice.