A radioactive tracer is administered to a patient undergoing a kidney scan to monitor renal clearance.
The tracer's isotope has a physical half-life of 8.0 hours8.0\text{ hours}8.0 hours.
The patient is injected with an initial activity of 800 MBq800\text{ MBq}800 MBq. For this patient, the biological half-life of the tracer is 24 hours24\text{ hours}24 hours. For radiation safety reasons, the patient cannot be discharged from the clinical department until the remaining activity of the isotope in their body has fallen below 220 MBq220\text{ MBq}220 MBq.
Determine whether the patient can be safely discharged after 11.0 hours11.0\text{ hours}11.0 hours.
