This website uses cookies to ensure you have the best experience. Learn more

Test Answers To An Advanced Mathematics And Earth Science Test

1151 words - 5 pages

Question 1
A function is the mathematical way of describing a relationship between two sets of variables. In usual notation, the set of the independent variables x, is called the domain and the set of the dependent variables y is termed the range.
Most commonly encountered functions are
The linear function y = x, the quadratic function y = x2, the cubic function
y = x3, the exponential function y = ex, the logarithmic function y = log(x), and periodic functions such as y = cos x, y = sin x, the set of the variable quantity x is the domain, and the set of the corresponding values of the variable y constitutes the range.
Below I reproduce (courtesy of the mathsisfun website,, in descending order,
the linear, quadratic,
cubic, logarithmic,
the sine, and the exponential functions graphs.

Question 2
Carbon dating is the method whereby the age of very old objects is estimated.
The method consists of measuring the current radioactivity of the specimen due to its unstable (and rare) carbon isotope 14C content and comparing it with the average background radioactivity of the atmosphere. (Willard Libby 1947). The specimen must contain remains of a plant. So long as the plant was alive its radioactivity due to the intake of CO2 from the atmosphere was equal to the radioactivity of the atmosphere however when it died, the amount of 14C in it began to fall due to the radioactive decay of this element into nitrogen (14N). The half-life of 14C, defined by T_(1/2)=(ln⁡(2))/λ, can be measured experimentally and is found to have the value 1.808 ×〖10〗^11 seconds. The above expression results from the fact that nuclear decay, and therefore the radioactivity of a radioactive element, is an exponential function of time because the activity at any time is proportional to the number of the nuclei present at that time. And half-life is the time it takes for a radioactive element to fall into half its initial amount. So in the usual notation we have N(t)/N(0) = ½ when 〖t=T〗_(1/2). And because, from the exponential decay law, we have N(t)/N(0) = e – λt, where λ is the decay constant, the above expression for T_(1/2) follows.
In this way, when we have the function N(t) from real life measurements from biological or geological specimens, we can calculate the t value from the known function and the known constant.
Carbon dating has been used to argue against the “young earth” hypothesis and for estimating the age of some scrolls and ancient texts by observing the number of decays in one hour in the specimen and comparing it with the average atmospheric activity before the year 1900, and using the above formulas. (Halliday, Resnick, and Walker, 2006; Bowman, 1999.)

Question 3
The inverse of an exponential function must be such that it maps x back to itself according to the relation f – 1 f (x) = x, with f (x) = e x. Therefore
f – 1 (x) = ln (x), because ...

Find Another Essay On Test Answers to an Advanced Mathematics and Earth Science Test

Teaching to the Test Gets an ‘F

1049 words - 4 pages In the article “Teaching to the Test Gets an ‘F’” by Steven Slon, Slon, discusses the issue of creativity in schools and how student creativity and futures are in jeopardy. Slon talks about how he, himself, has witnessed the destruction of creativity firsthand with his own son. Slon also brings up a conversation he had with Sir Ken Robinson about the current status of American education such as needs, wants, and expectations of the adult world

Teaching to the Test Essay

767 words - 4 pages and inhibiting the educational growth of students because teachers have to teach to the test and not stray from the boundaries at all for fear of low test grades. This may sound like a good thing to most people, but in all actuality, teachers are only teaching the students how to pass tests, not how to think critically and how to learn to love learning. An interview from seventh grade teacher Sherri Empey revealed how she felt about teaching to

The Disadvantage of Using English to Teach Mathematics and Science

1504 words - 6 pages native language( current_News/BH/Thursday/sastera/ 20090423072404/Article.). Based on pedagogy to master the English language through Science and Mathematics and is not reasonable because communication skills in English only be controlled if the language itself is strengthened. The subject of Science and Mathematics is indeed recognized and become an important measuring stick of excellence to student. If both subjects can

What are the advantages and disadvantages of an IQ test

734 words - 3 pages Intelligence Quotient. The intelligence quotient is found by dividing the mental age (test score) by the chronological age and multiplying by 100. Average mental age (MA) scores correspond to average chronological age (CA) scores. A "normal" person would have an IQ of 100. Bright children attain higher scores, while dull children attain scores lower than 100.Achievement tests measure the amount of information that has been acquired through study. IQ tests

The Turing Test: An Overview

752 words - 4 pages 3/16/14 The Turing Test: An Overview In this essay, I describe in detail a hypothetical test contemporarily known as the Turing test along with it’s respective objective. In addition, I examine a distinguished objection to the test, and Turing’s consequential response to it. Created by English mathematician Alan Turing, the Turing test (formerly known as the imitation game) is a behavioral approach that assesses a system’s ability

To Test or Not to Test in Texas Schools

1290 words - 6 pages Standardized testing in Texas public schools has parents and teachers furious. It is an argument of Texas Legislature versus those who oppose. Student will take about 17 of these tests before entering high school (Smith A17A). Texas schools are currently conflicted with taking the STAAR tests as it brings upon many arguments. The disadvantages seem to rule out the few advantages test makers tried to pass. Rather than helping students see

Faulkner's Speech Put to Test

928 words - 4 pages On December 10, 1950, William Faulkner won a Nobel Prize and gave an acceptance speech in Stockholm Sweden. In his speech he explained his trust and advice for future writers, and mentioned the importance to put their soul, sweat, agony, and heart into their work, only then can true work come about. As Faulkner spoke of this, it can only be wondered how this applies to his very dark short story, A Rose for Emily. This creepy text could be

Spirometry and Physical Fitness Test

547 words - 2 pages Introduction:Spirometry is the classic pulmonary function test, which measures the volume of air inspired or expired as a function of time. It can monitor quiet breathing and thereby measure tidal volume, and also trace deep inspirations and expirations to give information about vital capacity. Spirometrymay also be used to measure forced expiration rates and volumes and to compute FEV1/FVC ratios. Spirometry provides an objective measurement of

TAAS Test and STAAR Educational Test in Texas

1840 words - 8 pages only does this apply for only our district but other school districts as well. There can be advantages and disadvantages to changing the test but it may have well effected Dallas ISD performance scale. As mentioned early standardized testing can have an effect on the overall performance of a school district. Besides testing you have to consider the amount of students in each grade classroom. The Texas Education Agency states per Texas Education

Music, The Litmus Test for an Era

1911 words - 8 pages people creating that music. Again, like the Litmus Test, it would not necessarily reveal exactly what a particular family might have been doing on a particular day, but it allows the listener to have an idea of the overall interaction between the way life was going and how those that were living it reacted to it. It is easy to just "hear" music, but more often than not, we don't actually "listen" to what the music is telling us. It is much easer to

Mathematics and Science: My Favorite Subjects

513 words - 2 pages . I thought my path was clear; I love science, but I ran into a dilemma. How could I possibly set aside mathematics just because science is simply more interesting? My dilemma lies in the separation of the two; it would be to my advantage to pursue a science with a mathematical foundation. And, to my luck, there is such synchronization. Mathematical engineers apply advanced mathematical and computational techniques in myriad ways. For

Similar Essays

Answers To An Advanced Mathematics Test

1339 words - 6 pages ). Coefficient α is called the lapse rate of temperature and has an average value of about 0.6 degrees C / 100 m (Young and Freedman, 2012, Chapter 18). This gives a better approximation to the P variations than the simple ideal gas and constant T result we discussed above. References H. Young and R. Freedman, University Physics, 13th Ed. Addison-Wesley, 2012. Poole and Poole, Carbon 14, University of California Press, 1999. P. Schmidt and F. Ayres, College Mathematics, 2010.

A&P Chapter: Test Answers To Various Questions Accompanied By Sources

2010 words - 8 pages mononucleosis virus by the physician. He would suspect this due to the symptoms of the fever, headache, swollen glands, tiredness, malaise and the enlarged spleen. The liver could also be enlarged. The mono test detects heterophil antibodies, which are made in response to an infection by the EBV. Mononucleosis is characterized by the presence of atypical white blood cells in an infected person. If the mono test comes back negative it could be due to the

A&P Chapter Test #2 (Answers Along With Sources)

1927 words - 8 pages ' steeply with advancing age. When smokers give up, their risk of getting lung cancer starts decreasing so that after 10 years an ex-smoker's risk is about a third to half that of continuing smokers. Stopping smoking before the age of 30 avoids more than 90% of the risk attributable to smoking. Pulmonary function is a strong predictor of mortality and smoking reduces pulmonary function. A Finnish study found that middle aged smokers across the

The Questions Were Given As A Study Guide For My Hinduism Test. The Answers Cover The Basics Of The Religion

1592 words - 6 pages , in which one or more of his divine attributes were embodied in the shape of a human being or an animal or a human-animal combined form, possessing great and sometimes supernatural powers. All these Avatars of Vishnu appeared in the world either to correct some great evil or to effect some great good on earth. These avatars are ten in number, however, the Bhag wad Purana increases them to twenty-two and adds further that are innumerable. Of the ten