Formulas Flashcards

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1
Q

Percent Increase

A

amount of increase/base

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2
Q

percent decrease

A

amount of decrease/base

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3
Q

ca+cb

A

c(a+b)

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4
Q

ca-cb

A

c(a-b)

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5
Q

(a+b)^2

A

a2+2ab+b2

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6
Q

a^2-b^2

A

(a+b)(a-b)

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7
Q

(a+b)^3

A

a3-3a^2b+3ab^2+b^3

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8
Q

X^-a

A

1/Xa

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9
Q

(X^a)(X^b)

A

X^a+b

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10
Q

X^a/X^b

A

X^a-b, 1/X^b-a if negative

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11
Q

X^0

A

1

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12
Q

(X^a)(Y^a)

A

(xy)^a

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13
Q

(X^a/Y)

A

X^a/Y^a

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14
Q

(X^a)^b

A

X^ab

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15
Q

Quadratic formula

A

-b±√(b²-4ac))/(2a)

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16
Q

Distance formula

A

d=rt

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17
Q

simple annual interest

A

V=P(1+rt/100)

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18
Q

P in interest formula

A

amount invested

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19
Q

r in interest formula

A

percent

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20
Q

annual interest compounded annually

A

V=P(1+r/100)^t

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21
Q

annual interest compounded n times per year

A

V=P (1+r/100n)^nt

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22
Q

quadrant 1

A

+,+

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23
Q

Quadrant 2

A

-,+

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24
Q

Quadrant 3

A

-,-

25
Q

Quadrant 4

A

+,-

26
Q

parallel lines on graph

A

slopes are equal

27
Q

perpendicualr lines on graph

A

slopes are negative reciprocals

28
Q

graph of circle

A

(x−a)^2+(y−b)^2=r2.

29
Q

center of circle

A

(a,b)

30
Q

h(x)+c

A

shifted up c units

31
Q

h(x)-c

A

shifted down c units

32
Q

h(x+c)

A

shifted left c units

33
Q

h(x-c)

A

shifted right c units

34
Q

the measure of interior angles of an n-sided polygon

A

(n-2)(180)

35
Q

equilateral triangle angles

A

60

36
Q

isoceles triangle

A

two congruenet sides, angles of sides are equal

37
Q

pythagorean theorem

A

C^2=A^2+B^2

38
Q

Area of triangle

A

A=bh/2

39
Q

Area of trapezoid

A

A=1/2(b1+b2)h

40
Q

circumference

A

C=2pir

41
Q

length of arc

A

length/C = Angle of arc/360

42
Q

area of circle

A

PiR^2

43
Q

Area of sector

A

S/piR^2 = angle of arc/360

44
Q

volume of rectangualr solid

A

V=lwh

45
Q

SA of rectangular solid

A

2(lw +lh +wh)

46
Q

Volume of cylinder

A

V= pir^2h

47
Q

SA of cylinder

A

2(pir^2) + 2pirh

48
Q

first quartile

A

Median of first half

49
Q

second quartile

A

median

50
Q

thrid quartile

A

median of second half

51
Q

interquatile range

A

q3-q1

52
Q

Permutations n objects taken r at a time

A

(n,r) = n! ÷ (n-r)!

53
Q

combinations

A

nCr = n! / r! * (n - r)!

54
Q

P(E or F)

A

P(E) + P(F) - P( E and F)

55
Q

P (E or F) mutually exculsive

A

P(E) + P(F)

56
Q

Independent P(E or F)

A

P(E)P(F)

57
Q

n-factorial

A

n!
1!= 1
2!= (2)(1)
3!= (3)(2)(1)

58
Q
A