A heated piece of metal cools according to the function c(x) = (.5)^x − 10, where x is measured in hours. A device is added that aids in cooling according to the function h(x) = −x − 1. What will be the temperature of the metal after five hours?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? explain your reasoning.

Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?