Many patients get concerned when a test involves injection of a radioactive material. For example for scanning a gallbladder, a few drops of Technetium-99misotope is used. However, it takes about 24 hours for the radiation levels to reach what we are exposed to in day-to-day activities. Below is given the relativeintensity of radiation as a function of time.t(hrs) 0 1 3 579R1.000 0.891 0.708 0.562 0.447 0.355The relative intensity is related to time by the equation R = A e^(Bt).Find the constant A by the least square method. (correct to 4 decimal places)-0.05

Answered: Image /qna-images/answer/fdfcffb5-6089-46e3-bf5f-92fe69e20af2.jpg

Answered: Many patients get concerned when a test…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 30CR

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Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
The Decibel scale Exercise S-7 through S-10 refer to the decibel scale. If one sound has a relative intensity one-tenth that of another, how do their decibel levels compare?
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.
Can the average rate of change of a function be constant?
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
What is the y -intercept on the graph of the logistic model given in the previous exercise?
Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain". The acidity of liquids is measured by pH on a scale of 00 to 14.14. Distilled water has pH 7.0,7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so "acid rain" is sometimes defined as rainfall with a pH below 5.0.5.0. The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.43 and standard deviations 0.54. What proportion of rainy days have rainfall with pH below 5.0?5.0?
The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. t Length (mm) 0 88 с Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Linear (y = mx + b) O B. Logistic y= (y= OC. Exponential (y = a.b*) ₂-bx 4 93 1 + ae 8 99 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2007, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 103 mm per year. 16 108
The lost value of equipment over a period of time is called depreciation. The simplest method for calculating depreciation is straight-line depreciation. The annual straight-line depreciation D of an item that costs x dollars with a useful life of n years is D= (1/n)x. Find the depreciation for items with the given characteristics. %3D Cost is $15,957; life is 13 yr The annual straight-line depreciation is approximately $ per year. (Round to the nearest cent.) Enter your answer in the answer box. MacBook Air 80 888 esc F10 FI F2 F3 F4 FS F6 F7 @ 23 $ & 6 8 9 %3D 1 2 3 4 5 Q W E Y P tab 11 A S F G H. J K ock レレ

A severe storm has an average peak wave height of u=16.4 feet for waves hitting the shore. Suppose that a reading of 38 waves showed an average weight height of x=16.9 feet. Previous studies of severe storms indicate that o=3.5 feet. Does this information suggest that the storm is increasing above the severe rating? Use a=0.01

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