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In an Experiment, a Tissue Culture Has Been Subjected to Ionizing

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In an experiment, a tissue culture has been subjected to ionizing radiation. It was found that the number A of undamaged cells depends on the exposure time, in hours, according to the formula A=A0ekt,t0A = A _ { 0 } e ^ { k t } , t \geq 0 If 5000 cells were present initially and 3000 survived a 2-hour exposure, and the elapsed time of exposure after which only half the original cells survive.

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