If the conditions described in the notice have not been corrected prior to the time specified therein, a resolution shall be presented to the city council on the date designated in the notice therefor, which resolution shall provide that the department of the city of Aberdeen named therein shall, after the date set therein, forthwith cause the removal or destruction of the vegetation, or any part thereof, as specified or complained of in the notice. Upon the introduction of the resolution, the owner shall be entitled to be heard and show cause, if any, why the vegetation or such part thereof, should not be removed or destroyed. The finding of the city council determining that the vegetation described in the notice is or is not a nuisance shall be conclusive. If the city council finds that the same is a nuisance and the owner has appeared at the hearing thereon, the owner may, in the discretion of the council, be given additional time as may be specified by the council to abate the nuisance.