A group of researchers are working to determine the historic sea levels of the body of water. They are attempting to do this by taking samples around the body of water and in a nearby cave and after analyzing sediment cores from around the body of water to those in the cave. The Climatologist that is working in the cave is trying to determine the age and growth rate of stalactites, to get a more accurate picture of the age of the existing stalactites. The following table contains the estimated age (to the nearest thousand) of the sample and the length of the sample in micrometers. Find a linear model that express length as a function of the age. Round your answers to 2 decimal places Age (nearest thousand) Micrometers 95 14046 99 14663 100 14800 113 16741 119 17630 122 18038 123 18204

A glacier advanced down a mountain from an elevation of 3000 m to 2000 m in 5 years. What was the glaciers rate of change in a year and a month?

A tsunami (sometimes inaccurately called a “tidal wave”) is a fast moving ocean wave caused by an underwater earthquake. The water first goes down from its normal level to its lowest level, then rises to its highest level above normal. The time it takes to go from lowest level to highest level, and back to lowest level is 15 minutes. The tidal wave continues this pattern until it crashes onto shore. Suppose a tsunami with amplitude of10 meters approaches Honolulu, HI where the normal depth of water is 9meters. Assume the tsunami varies in depth of water sinusoidally with time as it approaches the pier. a) Sketch the graph of the water depths from 0 to 15 minutes.b) Find a particular equation expressing water depth as a function of time. c) What does a negative water depth mean (keeping in mind that there can’t be less than zero water)?

According to Boyle's law, which graph shows the relationship between the pressure (æ) and volume (y) for a certain amount of gas?