Formulas Flashcards

(58 cards)

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

25
Quadrant 4
+,-
26
parallel lines on graph
slopes are equal
27
perpendicualr lines on graph
slopes are negative reciprocals
28
graph of circle
(x−a)^2+(y−b)^2=r2.
29
center of circle
(a,b)
30
h(x)+c
shifted up c units
31
h(x)-c
shifted down c units
32
h(x+c)
shifted left c units
33
h(x-c)
shifted right c units
34
the measure of interior angles of an n-sided polygon
(n-2)(180)
35
equilateral triangle angles
60
36
isoceles triangle
two congruenet sides, angles of sides are equal
37
pythagorean theorem
C^2=A^2+B^2
38
Area of triangle
A=bh/2
39
Area of trapezoid
A=1/2(b1+b2)h
40
circumference
C=2pir
41
length of arc
length/C = Angle of arc/360
42
area of circle
PiR^2
43
Area of sector
S/piR^2 = angle of arc/360
44
volume of rectangualr solid
V=lwh
45
SA of rectangular solid
2(lw +lh +wh)
46
Volume of cylinder
V= pir^2h
47
SA of cylinder
2(pir^2) + 2pirh
48
first quartile
Median of first half
49
second quartile
median
50
thrid quartile
median of second half
51
interquatile range
q3-q1
52
Permutations n objects taken r at a time
(n,r) = n! ÷ (n-r)!
53
combinations
nCr = n! / r! * (n - r)!
54
P(E or F)
P(E) + P(F) - P( E and F)
55
P (E or F) mutually exculsive
P(E) + P(F)
56
Independent P(E or F)
P(E)P(F)
57
n-factorial
n! 1!= 1 2!= (2)(1) 3!= (3)(2)(1)
58