A message from the tzaddik:
PRIME#2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83
89 97 101 103 109 113 127 131 131 137 139 **COMPOSITE numbers4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 26 27 28 30 32 33 34 35 36 38 39 40
42 44 45 46 48 49 50 51 52 54 55 56 57 58 60 62 63 64 65 66 70 74 75
76 77 78 80 81 82 84 85 86 87 88 90 91 92 93 94 95 96 98 99*FACTORIAL10x9=90/10x9x8=720/10x9x8x7=5040/10x9x8x7x6=30240/10x9x8x7x6x5=151200/10x9x8x7x6x5x4=604800/10x9x8x7x6x5x4x3=1814400/10x9x8x7x6x5x4x3x2=3628800&&&ncr=if
i dont care about order,,do factorial,then divide that # by what you dont use in its factorial divided by what u do use in its factorial/npr=i do care about order but dont want all,do factorial,then divide by # of factorial of what u dont want/i care about all and want an order-do factorial 5x4x3x2x1/combos=multiply the # of choices of each one by each other, ie. one of two chance, and five coins, is 2 to fifth power=32 IRRATIONAL #-if looks ugly,cant be written as fraction *** COUNTING NUMBER=anything you can count excl.
zero and negatives***INTEGER=not a half number, or "a whole number"***square root=a # that when it is mult.by itslf. which gives u a number #-and for negative numbers there's no square root bec. a negative times neg. is a positive, so for square root of neg's you need to invent "i"/i times itself is negative 1***GEOMETRY-if you have two angles of triangle, the a plus b plus c will=180.every add. side adds 180.***SIDES OF RIGHT TRIANGLE-a squared plus b squared equals c squared, giving you the longest side from the two short sides. i will look at the square root of c and thats my answer. **If u have a long side and a short and want the third, do long side squared minus short side squared and youre left with the short side squared.now takes its square root to get the length of 3rd side.AREA OF TRIANGLE-one half the base times height,and mult. that and that's the area.***CIRCLES-RADIUS=from middle to out its always same amount.**DIAMETER=anyline equally through the circle anywhere.**PI=in order to contain a diameter line, the circle always has to be 3 times the length of the line. if one then 3.14**PI r squared is the area of circle.**TO GET INSIDE VALUE OF A CIRCLE/THE AREA-do pi times the radius squared and that's your answer,ie. 78. now, if thats your inner area, and the circle is div. by quadrants, then each quad. is=19.5**A DIAMOND-rhombus**PARALELAGRAM=its neither a square or rhombus.**MAKE TRIANGLES WITH RIGHT ANGLES,the line far kinegged your right angle is the long side***area of triangle-mult. half the # of the base by it's height, and you'll get the area***MULT=even times even is even, odd times odd is even bec. the remainders will join and be even***YLB'S RULE=you can take away from one side of problem as long as u do it for other side***m to the x times m to the y=m x+y*when i see a prob. of mand an upper x=m and an upper y, then ev. though it looks like a
mult. problem, but its really an addition problem***LOGIC- if
then=p >q/and=p&q/or=pvq/ **IF THEN- it will for sure happen that, but even without the if, it may be able to happen-by placing a minus sign knot before an OR, it turns it into an IF THEN**KNOT-whatever i said before, now im saying the opposite.*NEGATION of if then-by saying if and saying the opp. of the then, when we orig. said that its vadai gonna happen**AND-both have to be true cuz thats the reality**OR-at least one of them has to be true-so if u see one is false then the other one has to be true***SETS-BIGupsidedown u-intersect, c=proper subset, c with underline-subset, A'-compliment klomar whatever is not in A, upsidedown u=union where they overlap, u=either its in this one or that one or both
***GRAPHS-if i see "y" curved in two locations then its not a real function bec. a function domain cannever produce two sep. things as it's product in the same machine*open circle=it means its not included in the sum that its pointing towards,*closed circle=it IS included in that which its arrow is pointing to*thick line=x*thin line=not x**in a graph x is always first*a f with -1 and then x is a reverse function, that when you put y back into the machine you get x, so i fx is 1,2 then f-1x is 2,1***GRAPH LINES-2 points on graph define a line, m=angle of the line/slope, B=where the slope is placed on graph/intercept=where Y interacts with the 0 of x], slope=rise over run, Y1 is the first point on line Y2 is 2nd point, a triangle is change symbol, ie. what changed bet. point A and B, ie. it went down 3 neg., 2.3 means that whenever x is 2 then y is three*to determine the intercept of slope, just give a value for x and its related value for y*Linear equation=straight line*Perpendicular= a line which it's right angle is with your sloped other line-when orig. slope is neg. then the perpen. line will be positive"neg. reciprocal"***LCM-30 is ten times three,ten is 5 times two,do also for oth. #, then mult the unrepeated factors and the unused numbers to. to get ie.210***PRIME FACTORization-15,div. by 5 is three, so 3 & 5 are factors. we write out the factors as a mult. problem***LCM-do 1x6,2x6,3x6,4x6, now do for other number and highest same number is the LCM***GCF-take 21,divide by 1, so 1 and 21 are factors, divide by 3, div. by seven.
now, divide 63 by 1,by3,by7. the greatest biggest number which comes out of both of them is 21.This is GCF.***SQUARE INCHES-one side is 6 in. and other is 4 in. so you have an area of 24square inches squared, bec. we did inches times inches***AREA OF SQUARE-do length times width to equal the area, squared.***
*Biconditional-A statement that contains the words "if and only if."
*circle-The set of points in a plane that area given distance from a given point in the plane. The given point is the center, and the given distance is the radius *Contrapositive of a Conditional-The contrapositive of the statement If p, then q is the statement If not q, the not p.
*Converse-The converse of the statement If p, then q is the statement If q, then p. *Counterexample-An example used to prove that an if-then statement is false. For that counterexample, the hypothesis is true and the conclusion is false.
*Deductive Reasoning-Proving statements by reasoning from accepted postulates, definitions, theorems, and given information.
*Hypotenuse-In a right triangle the side opposite the right angle. The other two sides are called legs.
*Hypothesis-See if-then statement.
*If-Then Statement-A statement whose basic form is If p, then q.
Statement p is the hypothesis and statement q is the conclusion *Inductive Reasoning-A kind of reasoning in which the conclusion is based on several past observations.
*Inductive Reasoning-A kind of reasoning in which the conclusion is based on several past observations.
*Inverse of a Conditional-The inverse of the statement If p, then q, is the statement If not p, then not q.
functions, logarithm....
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