Conjecture= educated guess based on specific observations; a conclusion reached through inductive reasoning Inductive Reasoning= a type of reasoning that reaches conclusions based on a pattern of specific examples or past events Conditional= if->then statements

If= hypothesis
Then= conclusion
P= abbreviation for hypothesis
Q= abbreviation for conclusion
P->Q= read as “p implies q”
Counterexample= an example showing that a statement is false Venn Diagram= can be used to illustrate a conditional
“True” & “False”= truth values
Converse= hypothesis and conclusion of the conditional are flipped/exchanged(if q, then p) Inverse= negate the conditional (if NOT p, then NOT q)
Contrapositive= negate the converse (if not q, then not p)
Biconditional= joining the conditional and the converse with the words if and only if Iff= abbreviation for “if and only if”
Deductive Reasoning= reasoning based on fcat
In geometry, we use definitions, postulates, theorums, and given information to support the statements we make. Law of Detachment= IF the hypothesis of a true conditional is true, then the conclusion is true. Example: If a vehicle is a car, then it has four wheels. A sedan is a car. Conclusion based on Law of Detachment: A sedan has four wheels. Rule for Law of Detachment= if even one counterexample can be provided against the conclusion created, there is not correct conclusion. Law if Syllogism= if p->q is true, and q->r is true, then p->r is true. With this law, you are basically leaping over the “q” to reach a conclusion. Example: If you are a careful driver, then you do not text while driving. (p= you are a careful driver & q= you do not text while driving) If you do not text while driving, then you will have fewer accidents. (q= you do not text while driving & r= you will have fewer accidents) Conclusion= If you are a careful driver, then you will have fewer accidents. (p->r) Addition Property of Equality= if a = b, then a + c = b + c

...plane-extends in 2 dimensions postulate/axioms-rules accepted w/o proof .
POSTULATE 2 – SEGMENT ADDITION POSTULATE. IF B IS BETWEEN A AND C THEN AB+BC=AC. IF AB+BC=AC THEN B IS BETWEEN A AND C DISTANCE FORMULA (X2-X1)2+(Y2-Y1)2 Angle-consists of 2 diff rays that have the same initial angle Sides-(rays) sides of an angle Vertex-initial part of an angle Congruent angles- angles w/ the same measure. Adjacent angle- angles that share a common vertex and side but have no common interior points Midpoint- the point that divides or Bisects-the segment into 2 congruent segments Segment Bisector- segment, ray, line, plane that intersects a segment at its midpoint MIDPONT FORMULA Vertical Angles- their sides form 2 pairs of opposite rays. Linear pair- 2 adjacent angles noncommon sides are opposite rays =180 Complementary Angles- 2= 90 Supplementary Angles- 2=180 Converse- in a condition statement is formed by switching the hypo and conclusion.
POSTULATE 5- THROUGH ANY 2 POINTS THERE EXISTS EXACTLY 1 LINE. 6- A LINE CONSISTS OF AT LEAST 2 POINTS 7-IF 2 LINES INTERSECT THEN THEIR INTERSECTION IS EXACTLY 1 POINT 8- THROUGH ANY 3 NONCOLLINEAR POINTS THERE EXISTS EXACTLY 1 PLANE 9- A PLANE CONSISTS AT...

...
JTG- Ch.2
Euclid’s Proof of the Pythagorean Theorem
Century and a half between Hippocrates and Euclid.
Plato esteemed geometry to be the entrance to his Academy.
Let no man ignorant of geometry enter here.
“Logical scandal” Theorems were believed to be correct as stated but they lacked the material to prove them.
Euclid’s Elements was said to become the staple of mathematics or the standard.
13 books, 465 propositions (not all Euclid but rather a collection of great mathematicians work, started with 23 definitions, 5 postulates, 5 general axioms
Euclid defined a 90 degree angle as two equal adjacent angles along a straight line.
5 Postualates
[It is possible] to draw a straight line from any point to any point.
“ to produce a finite straight line continuously in a straight line.
“ to describe a circle with any center and distance
All right angles are equal to one another
If a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which the angles are less than two right angles.
Euclid’s first congruence was SAS came from proposition 4 of the first book
Veritical angle congruence → triangle exterior angle → AAS → transversal making parallel lines → alternate angles → three angles being equal to two right angles → PYTHAGOREAN THEOREM
Proposition...

...Chp. 4 Biology StudyGuide
Page 1
8/30/2011
BIOLOGY STUDYGUIDECHAPTER 4– THE CHEMICAL BASIS OF LIFE Matter = anything that takes up space and has mass (major types of matter = solid, liquid, and gas) Any type of matter is made of one or more elements. o Element = a substance that cannot be broken down into other substances by regular chemical processes. (examples: gold, silver, mercury, etc.) There are approximately 25 elements necessary for life. • Examples: oxygen, carbon, hydrogen, nitrogen, calcium, phosphorous, etc. • Trace elements = those elements that make up less than 0.01 percent of your body mass (examples: iodine, iron, copper, etc.) Compounds = a substance containing two or more elements; these elements are always present in this compound in the same ratio o For instance, water is a compound where hydrogen and oxygen are combined. The ratio of hydrogen to oxygen in water is always 2:1. (Remember that the chemical formula of water is H2O.) o Compounds have different characteristics than the elements that make them up. (Water is liquid at room temperature, but when hydrogen and oxygen are by themselves, they are gases at room temperature.) Atoms = smallest possible piece of an element o A better definition of an atom may be: the most basic unit of matter that cannot be broken down into smaller pieces by ordinary chemical methods. o This can be confusing, because when...

...Test 1 Review Questions Chapter2
59-61: 1-6, 8-9, 13-14, 17-19, 24-25a, 29-30, 35-42
63: 1-7, 12
Pg. 59-60
1. How does quantitative information differ from qualitative information? Quantitative is numerical and Qualitative is descriptive.
2. What is a hypothesis? An explanation that is based on prior scientific research or observations and that can be tested.
3. a. What is a model in the scientific sense? A pattern, plan, representation, or description designed to show the structure or workings of an object, system, or concept
b. How does a model differ from a theory? A model explains one concept while a theory explains a body of facts and phenomena.
4. Why is it important for a measurement system to have an international standard? So that when scientists test each other’s experiments there will be a lower chance of mistakes.
5. How does a quantity differ from a unit? Use two examples to explain the difference. A quantity is a type of measurement while a unit represents a way to measure something. Ex1-A quantity is length; a unit used to measure length is a meter. Ex2- A quantity is mass; kilograms are used to measure mass.
6. List the seven SI base units and the quantities they represent. Meter(length), Kilogram(mass), Seconds(time), Kelvin(temperature), Mole(amt. of substance), Ampere(electric current), Candela(Luminous intensity.)
8. Identify the SI unit that would be most appropriate for expressing...

...1. What nursing action is required b4 you measure fundal height= empty bladder full bladder make the fundal height higher.
2. What should a nurse do to prevent heat loss from evaporation= dry them up and remove the wet linen.
3. Child with cephalohematoma. What condition is associated with cephalohemetoma = jaundice
4. Why do we perform gestational age in a baby= to identify developmental level
5. What kind of exam do we perform to access for gestational age = ballot score
6. A baby has been circumcised a mother called the unit and complains that she saw a yellow crust on the penile area what do you tell the mother=Normal
7. You are teaching a mom how to use a bulb syringe what will you tell her to do= tilt babies head to the side and sanction the check
8. You are providing umbilical cord care, what will you do to provide this care= dye, open, dry, to prevent infection.
9. You have a patient who is breast feeding you want to prevent nipple trauma what will you teach= latching on, make sure the oriole is in the baby mouth and the baby is sucking onto it. And the baby is not sucking the nipple.
10. When babies have jaundice and are placed on a phototherapy why should we make sure that they have fluid and they get fed= prevent dehydration, hypoglycemia and promote growth
11. A neonate that was born 4hours after delivery mother is diabetic and some of the signs and symptoms is that the baby is jittery = hypoglycemia, check blood sugar and feed them...

...GeometryStudyGuide
Test 11
Ration: The quotient of two quantities which are measured in the same unit.
Proportion: Two equal ratios.
1. Theorem: In a proportion the product of the means equals to the product of the extemes.
a:b = c:d
- b and c are the means.
-a and d are extremes.
Theorems
2. If a line parallel to one side of a triangle cuts off of a triangle that is similar to the original.
3. If 2 triangles are similar then their corresponding sides are in proportion.
4. If a line parallel to one side of a triangle divides the other two sides proportionally.
5. If a line is drawn in a triangle and divides two sides proportionally, then it is parallel to the third side.
6. The line segment joining the midpoints of two sides of a triangle is parallel to the third and is ½ the length of the third.
7. Triangles are similar if two pairs of corresponding angles are congruent (a.a≅
8. a.a).
9. Triangles are similar if all pairs of corresponding sides are in proportion.
10. A line parallel to one side of a triangle and intersecting the other two sides cuts off a triangle similar to the original.
11. Two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other.
12. The lengths of corresponding (altitudes, corresponding line segments including medians and angle bisectors, an perimeters) of similar triangles have the same ration of...

...horns to break up traffic jams.” - Mary Ellen Kelly
1. What nation is the most multicultural in the world? Why is that?
2. What is culture? How does it differ from human nature?
3. Describe specific cultural patterns or practices in the U.S. that might shock people living in other parts of the world? Explain why?
4. Do you agree with the statement “no way of life is “natural” to humanity (37)”?
5. What did Stanislaw Lec mean when he said, “Is it progress if the cannibal uses knife and fork?”
6. What are some emerging symbols associated with American culture? What are some diminishing symbols that have been passed on through your parents and grandparents?
7. What are values and beliefs? How are they different?
8. What cultural value is expressed in Benjamin Franklin’s belief (often attributed to the Bible): “God helps those who help themselves”?
9. How do you see values and beliefs coming from and being influenced by society (i.e. family, peers, entertainment, religion, etc.)?
10. How are these values and beliefs similar to those mentioned as the Key Values of U.S. Culture on p.43?
11. Do any of these values contradict each other? If so, which ones?
12. How does our cultural emphasis on individual achievement blind us to the power of society to give some people great advantages over others?
13. What does Figure 2-2 on p.44 tell us about cultural values of various countries?...

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1. What are some positive and negative things about China’s location?
Some of the positive things about China’s location was that it was separated from the rest of the world which caused very few conflicts to occur with other early civilizations. However due to this separation from other civilizations, China did not have as much influence in technology or culture from other civilizations.
2. What is the most ancient philosophy in China?
The most ancient philosophy accepted in China is called Dao which was the appreciation of a balanced life without excess of anything.
PATTERNS IN CLASSICAL CHINA
3. What kind of things would cause or signal a dynasties decline?
Some things that would cause a dynasties decline would be something such as a invasion from enemy’s such as Mongol’s. Another cause for decline would be a major gap between poor and rich classes which could lead to revolts against the dynasty.
4. How did the Zhou Dynasty rule? Who was this method similar to? (who had the power) The Zhou Dynasty ruled through noble families as alliances were formed through the wedding of noble princesses to other noble families which gained that family more land and power, they used this as opposed to a central government as their own government was too weak to work. This method was similar to the rule during the middle ages when lords used weddings as a form of gaining power, wealth, and land.
5. What is the significance of Confucius?...