After the hearing, or if the waiting period and hearing are omitted due to a declaration of an emergency, then the Council shall act not later than the next regular meeting of Council and shall vote by roll call on whether the ordinance shall be adopted, with or without amendment, or rejected. Final passage shall be certified by the signatures of the Mayor, Vice-Mayor, or other presiding officer, and the Clerk. The Clerk shall see that the new ordinance is published within one week after its passage.