An open box is to be constructed by cutting out square corners of x-inch sides from a piece of cardboard 10 inches by 7 inches and then folding up the sides. Express the volume of the box as a function of x. V(m) =?

The triangles are similar. what is the value of x? show your work.

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.

If a baby uses 15 diapers in 2 days how many diapers will the baby use in a year