A group of researchers are working to determine the historic sea levels of the body of water. They areattempting to do this by taking samples around the body of water and in a nearby cave and after analyzingsediment 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 theestimated age (to the nearest hundred) of the sample and the length of the sample in centimeters. Find alinear model that express length as a function of the age.Round your answers to 2 decimal places.Age (nearest hundred)CentimetersLengthx+1361011182091.91276.14551.45920.691013.011656.411839.08where x is the age in hundreds of yearsAccording to this model, how old do we expect a stalactite of length 1293 Centimeters to be? Round to 2decimal places.

Answered: A group of researchers are working to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Show that the rate of change of the area of a circle with respect to its radius is equal to the circumference of the circle.
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)?
A toxic radioactive substance with a density of 9 milligrams per square cm is detected in the ventilating ducts of a nuclear processing plant that was used 55 years ago. If the half life is 20 years, what was the density of the substance when it was depoited 55 years ago?
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A student is concerned with the amount of air pollution students are exposed to in the school's parking lot after school. The student conducts an investigation to compare the quantity of particulate matter released from the diesel-powered buses, natural gas-powered buses, and the large and small cars as they idle waiting to pick up students. To make measurements, a small piece of white fabric is used to collect particulate matter from the tailpipe of each vehicle as it idles for five minutes. Each piece of fabric is then analyzed to measure the amount of particulate matter it collected. (i) Identify the independent variable in the investigation. (j) Identify one variable that was not mentioned in the description that could affect the results of the investigation. (k) Describe a realistic alternate sampling method to collect particulate matter from the vehicles in the investigation. (1) The student wants to ensure that the results are reliable. Explain how the student could modify the…

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