Amelia bought a violin that was marked down in price, p, by 15%. What does the expression p - 0.15p represent in this situation? (Answer in complete sentences. It may help to pick a number to put in place of p as you solve, such as p = 100.)

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.

It is given that the quadratic equation hx²-3x+k=0, where h and k are constants, has roots [tex] \beta \: and \: 2 \beta [/tex]express h in terms of k

Determine domain and range, largest open interval, and intervals which function is continuous.