Aball is thrown upward from a building. the height h after t seconds is determined from the quadratic equation h ( t ) = t^2−8t−48 . find after how many seconds the ball will touch the ground.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?

Aculture started with 4,000 bacteria. after 5 hours, it grew to 5,200 bacteria. predict how many bacteria will be present after 19 hours. round your answer to the nearest whole number.