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192 Chapter5 NumberTheory
E X E R C  S E S
i, 1. Using the Chapter 5 eManipulativc activity Sieve of
Eratosthenes on our Web site, nd all primes less than 100.
2. Find a factor tree for each of t
206 Chapter5 NumberTheory
EX RCISES
' . How many factors does each of the following numbers have?
b.33X52 c.52X73X114
' a. 22 X 3
2. a. Factor 36 into primes.
b. Factor each divisor of 36 into pri
9/18/2017
PRINCIPLES OF
INHERITANCE
Evolution
Two types
1.
A change in the
genetic structure
of a population
MICROEVOLUTION
Evolution
Two types
2. Also refers to the
appearance of a
new species
MACROE
Name:_
CUNY
QUEENS COLLEGE
Math 119
Prof. Nakayama
2017Fall
EXAM1
Read the Question before Your Start ;
Answer All Questions;
Show All Your Work;
Box Your Final Answer;
Respect and Practice with the
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
Applications of Linear Functions in Business (1.6)
1
What do you remember about these terms?
Revenue
Cost
Profit
For now, well just be looking at linear models but these same basic ideas work for
more
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
5.3 Solutions to Exponential Equations
Using Exponents and Logarithms to solve equations
2 good properties to know that make equation solving easier
Learning to solve for a variable in the exponent
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
1.5 Solutions of Systems of Linear Equations
Practice graphing Linear Equations
Graphing method for systems
Substitution for systems
Elimination for systems
1
2
3
4
5
Solve
this system by substitu
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
4.2 Linear Programming: The Graphical Method
Many problems in business, science, and econ involve finding the
optimal value of a function subject to various constraints (transportation
costs, EPA laws
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
5.1 Exponential Functions
Use Calculators to explore Exponential Functions and
their transformations
New irrational number
Look at some examples of exponential functions
1
Basic
Exponential Functio
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
Tell me some things you remember about
linear equations.
1
Slope Intercept Form _
2
After brakes are applied, the distance a 3000
lb. car needs to stop on dry pavement s given
by
Where s mph is the ca
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
2.1 Quadratic Equations
1
To solve, you must have one side equal to 0
2
3
4
5
6
7
Social
Security benefits are paid from a trust fund. The trust fund
balance, B, in billions of dollars, t years past t
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
2.2 Quadratic Functions: Parabolas
Now that weve solved some Quadratic Equations,
were going to move on to what graphs of quadratic
functions look like.
1
2
3
4
5
6
7
8
9
According to data from the N
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
4.1 Graphing Linear Inequalities
xint (y=0)
yint (x=0)
1
xint (y=0)
yint (x=0)
2
3
4
The inequalities weve been working on are single inequalities. Frequently,
we will be working with a set of ine
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
2.3 Business Applications of Quadratic Functions
1
2
3
4
5
New stuff: Supply and Demand with quadratic models
Earlier in the semester, we only looked at linear models, in this chapter, well expand int
Thetotalareaunderanormaldistributionisinfinite.
F
?
Thestandardnormaldistributionisacontinuousdistribution.
T
?
Allvariablesthatareapproximatelynormallydistributedcanbetransformedto
standardnormalvari
MAT 122 Finite College Math
MAT 122
Linear Programming Project
Objective: Use Graphing and the Simplex Method to solve a Linear Programming problem
Project A:
A company manufactures two products, A an
Project 1
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Getting News
Newspaper
Television
Radio
Internet
Count
10
16
12
12
50
Project 2
99.5
104.5
page 1
Major Project for MAT 120
1. Average age of friends on my Facebook account is 19 years.
2. Purpose of project: to determine the age of my Facebook friends.
3. The population was 100 Facebook fr
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2010
15
10
5
5
10
15
12
10
8
6
4
2
2
4
6
8
10
Name_
_
MATH 121
Test 2 retest
1.
I f the profit from the sale of x units of a product is Px=90x200x2, what level(s) of
production will yield a prof
Mathematics for Business, Life Science, and the Social Sciences
MATH 121

Spring 2008
This file contains test questions that I have used on previous midterms and final exams, from 2000 to 2006. Before taking the final exam, be sure that you know how to do all of these problems. The ans