This document summarizes key concepts about exponential functions including:
1) Exponents represent how many times the base is used as a factor.
2) Rules for exponents include: a^x * a^y = a^(x+y), a^x / a^y = a^(x-y), (ab)^x = a^x * b^x.
3) Examples are provided for sketching graphs of exponential functions and solving exponential equations.
4) An example problem models bacterial growth using an exponential function and asks questions about initial bacteria count, bacteria after a set time, and time needed to reach a certain count.
Numerical Methods and Applied Statistics Paper (RTU VI Semester)FellowBuddy.com
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Numerical Methods and Applied Statistics Paper (RTU VI Semester)FellowBuddy.com
FellowBuddy.com is an innovative platform that brings students together to share notes, exam papers, study guides, project reports and presentation for upcoming exams.
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# Underachievers can find peer developed notes that break down lecture and study material in a way that they can understand
# Students can earn better grades, save time and study effectively
Our Vision & Mission – Simplifying Students Life
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1.Evaluate the function at the indicated value of x. Round your.docxpaynetawnya
1.
Evaluate the function at the indicated value of x. Round your result to three decimal places.
Function: f(x) = 0.5^x Value: x = 1.7
-0.308
1.7
0.308
0.5
2.
Solve for x. 3x = 81
7
3
4
-3
3.
Logarithms are the inverse of exponentials.
True
False
4.
The Logarithm Quotient Rule states:
logb(x / y) = logb(x) + logb(y)
logb(x / y) = logb(x) - logb(y)
logb(x y) = y ∙ logb(x)
logb(c) = 1 / logc(b)
5.
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. Assume all variables are positive.
log3 9x
log3 9 * log3 x
log3 9 + log3 x
log3 9 - log3
none of these
6.
Select the graph of the function. Indicate which graph is correct: 1st, 2nd, 3rd, or 4th
f(x) = 5x-1
7.
Evaluate the function at the indicated value of x. Round your result to three decimal places.
Value: x=2
8.
The exponential equation y=bx is equivalent to the logarithmic equation x=logby
True
False
9.
Use the One-to-One property to solve the equation for x.
e(3x+5) = e6
x = -1/3
x2 = 6
x = 1/3
x = 3
10.
Write the logarithmic equation in exponential form.
log8 64 = 2
82 = 16
82 = 88
82 = 64
864 = 2
11.
Write the exponential equation in logarithmic form.
43 = 64
log64 4 = 3
log4 64 = 3
log4 64 = -3
log4 3 = 64
12.
The given x-value is a solution (or an approximate solution) of the equation.
42x-7 = 16
x = 5
True
False
13.
Find the magnitude R of each earthquake of intensity I (let I0=1). (Hint: R=log (I/I0)
I = 19000
3.28
5.28
4.28
2.38
14.
pH is a measure of the hydrogen ion concentration of a solution. It is defined as the negative logarithm of the hydrogen ion concentration. The equation is:
pH = - log [H+]
If an acid has an H+ concentration of 10-4, what's the pH?
15.
A general formula for exponential Growth can be given by:
A = P ekt
In your textbook, or using another reliable source, research what values, P, A, k and t represent and write your answer. (Hint: What do each of the variables stand for?)
16.
Continuously compounded interest means your principal is earning interest and you keep earning interest on the interest earned. Research the formula for Continuously Compounded Interest and write it below.
17.
$2500 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to double. (Approximate the result to two decimal places.)
r = 0.0570
13.16 years
10.16 years
11.16 years
12.16 years
18.
Write Eulers Number (e) to three decimal places.
19.
Exponential functions often involve the rate of increase or decrease of something such as a population, for example. If there is a population increase, it is a _______ function and when there is a decrease, it is a ________ function.
20.
Do some research on important numbers in mathematics. Choose one that is interesting to you (it can be on e or pi or a different number)
In your post, share with us what you ...
This is the entrance exam paper for ISI MSQE Entrance Exam for the year 2008. Much more information on the ISI MSQE Entrance Exam and ISI MSQE Entrance preparation help available on http://crackdse.com
Due Week 10 and worth 250 pointsIn preparation for this assignme.docxjacksnathalie
Due Week 10 and worth 250 points
In preparation for this assignment, please view the Jurisville scenarios and resulting simulations from Weeks 8 through 10 in the Corrections unit.
In the scenarios and resulting simulations, Robert Donovan, a Jurisville probation officer, discusses the intricacies of probation. Kris, the defendant, is offered an intensive supervised probation plan to follow. Brennan Brooke, a senior criminologist, discusses the tailoring of the inmate to the appropriate facility. Finally, Orlando Boyce, a sergeant at the fictional Deephall correctional facility, discusses measures that could conceivably make prison life effective and thus decrease the likelihood of recidivism.
Write a three to four (3-4) page paper in which you:
1. Outline your findings from your review of the file of Kris, for whom Robert is considering probation. State whether or not your results from the file review match Robert’s. Explain two (2) instances in which your views and those of Robert are both similar and different.
2. Develop a profile of the so-called perfect candidate to participate in an intensive supervised probation program. The profile should contain at least three (3) attributes that you believe make this defendant the perfect candidate for this type of probation.
3. Defend or critique the strategy of matching the inmate to the correctional facility as a response to the legal concept of cruel and unusual punishment. Provide a rationale for your position with concrete examples.
4. Defend or critique whether programs and amenities geared to making prison life effective—which run the gamut from hiring extra officers, to counseling and therapy, to building a garden—are time and taxpayer money well spent.
5. Use at least three (3) quality resources in this assignment. Note: Wikipedia and similar Websites do not qualify as quality resources.
Your assignment must follow these formatting requirements:
· Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides; citations and references must follow APA or school-specific format. Check with your professor for any additional instructions.
· Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page and the reference page are not included in the required assignment page length.
The specific course learning outcomes associated with this assignment are:
· Outline the major characteristics and purposes of prisons, including prisoners’ rights and prison society.
· Use technology and information resources to research issues in criminal justice.
· Write clearly and concisely about criminal justice using proper writing mechanics and APA style conventions.
Grading for this assignment will be based on answer quality, logic / organization of the paper, and language and writing skills, using the following rubric.
MULTIPLE CHOICE. Choose the one alternative that best complete ...
Similar to Lecture 10 section 4.1 and 4.2 exponential functions (20)
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2. The term 27
is called a power. If a number is in exponential form, the
exponent represents how many times the base is to be used as a factor.
7
Exponent
Base
2
13. Note that the graph of ex
is between 2x
and 3x
,
because 2<e<3. In the first quadrant, 2x
<ex
<3x
;
in the second quadrant, 3x
<ex
<2x
.
All 3 graphs pass through (0,1).
14.
15. ( )
4
3 -1 2 1
3
Solve each exponential equation.
1
(a) 2 32 (b)x x x
x
e e
e
− −
= = ×
