'Acceptable' in the Bible

I plead with you therefore, brethren, by the compassionsof God, to present all your faculties to Him as a living and holy sacrifice acceptable to Him. This with you will be an act of reasonable worship.

that I should be a minister of Christ Jesus among the Gentiles, doing priestly duties in connexion with God's Good News so that the sacrifice--namely the Gentiles--may be acceptable to Him, being (as it is)