0 an expression of regret -- excuses [ feminine, plural ]
1 something that you say or write in order to show that you are sorry for doing something wrong -- excuse(s)
Your apologies are accepted and noted.
In 2004, the police went as far as to offer a formal apology.
I think that it is important that apologies be sincere and unequivocal.
I therefore expect an official apology and not the usual arrogant retort.
To be denied information as to the cause of the delay, with little by way of an apology or compensation, is unacceptable.
It is perfectly appropriate to make her an apology in writing.