отвечать(в знач. "быть ответственным (за что-либо)": In this role you will be responsible for ensuring that all points of production adhere to strict QA procedures following SOP's.4uzhoj)
нести ответственность(for something – за что-либо: A principal is responsible for an unlawful act of his agent where the act is committed by the agent for the purpose of accomplishing the mission entrusted to him by his principal.)
заниматься(Terry Shaffer got a bottom-tier job as a laborer with the Sullivan County Highway Department where he was responsible for flagging traffic4uzhoj)
нести ответственность за(A principal is responsible for an unlawful act of his agent where the act is committed by the agent for the purpose of accomplishing the mission entrusted to him by his principal.)
привить ответственность(обычно говорится о детях: I'm trying to get my daughter to clean the hamster's cage, to teach her to be a bit responsible. ART Vancouver)