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Natalie u.

Exponential formulas

x^{n}*x^{m} = x^{n + m}

(x^{n})/(x^{m}) = x ^{n - m}

(x/y)^{n} = (x^{n})/(y^{n})

x^{n}*y^{n} = (xy)^{n}

(x^{y})^{z} = x^{yz}

x^{-n} = 1/(x^{n})

1^{n} = 1

x^{0} = 1

0^{n} = 0, except 0^{0} = 1 or undefined

F_{V} = C_{V}(1 + g)^{T}

(x

(x/y)

x

(x

x

1

x

0

F

distance

Distance = Rate*Time

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Work

Wage = Rate*Time

Permutation/Combinations

Combinations:_{n}C_{k} = n!/((n-k)k!)!

Permutations:_{n}P_{k} = n!/(n-k)!

Circular: (n-1)!

k = number of objects selected from a pile of n objects

n = total number of objects from which k objects can be selected

Permutations:

Circular: (n-1)!

k = number of objects selected from a pile of n objects

n = total number of objects from which k objects can be selected

positives/negatives

(Positive)/(Negative) = Negative

(Positive)/(Positive) = Positive

(Negative)/(Negative) = Positive

(Positive)/(Positive) = Positive

(Negative)/(Negative) = Positive

Polygons and angles

Sum of Interior Angles of Polygon = (n-2)(180)

n = number of sides of a polygon

n = number of sides of a polygon

Areas

Square: A = a^{2}

Rectangle: A = lw

Parallelogram: A = bh

Trapezoid: A = .5(a+c)h, where a and c are the lengths of the parallel sides

Rectangle: A = lw

Parallelogram: A = bh

Trapezoid: A = .5(a+c)h, where a and c are the lengths of the parallel sides

Circles

dArea: A = πr^{2}

Circumference: C = 2πr or C=π

Area of Sector = (x/360)πr^{2}

Circumference: C = 2πr or C=π

Area of Sector = (x/360)πr

Perimeter

Square: P = 4l

Rectangle: P = 2w + 2l

Parallelogram: P = 2b + 2a, where a and b are the lengths of the non-parallel sides

Circle: P = 2πr

Rectangle: P = 2w + 2l

Parallelogram: P = 2b + 2a, where a and b are the lengths of the non-parallel sides

Circle: P = 2πr

Pythagorean Theorem: A

Sum of interior angles must add up to 180

The sum of any 2 sides of a triangle must be greater than the 3rd side of a triangle.

Volume

Cube: V = a^{3} where a is the length of a side

Rectangular Solid: V = hwl

Cylinder: V = πr^{2}h

Rectangular Solid: V = hwl

Cylinder: V = πr

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