Common Math Formula's Flashcards

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1
Q

Square root of 2

A

~1.4

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2
Q

Square root of 3

A

~1.7

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3
Q

List the first 5 prime numbers

A

2,3,5,7,11

*1 is not a prime. 2 is the smallest prime and the only even prime.

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4
Q

List the first 10 prime numbers

A

2-3-5-7-11=$235,711

13-17-19-23-29=$1,317,192,329

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5
Q

4 common triangles (length and angles)

A

3-4-5 triangle
5-12-13 triangle
1-1-√2 triangle (90-45-45)
1-√3-2 (30-60-90) ***you can split equilateral in two of these

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6
Q

{1/x}+{1/y}=? (fast shorthand)

A

{1/x}+{1/y}={x+y}/{xy}

i.e. {1/2}+{1/5}={2+5}/{2*5}=7/10

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7
Q

Area and Circumference of a circle

A

Area=pi{r}^2

Circumference=2pi{r}

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8
Q

Arc length of a circle

A

Arc Length={x/360}2{pi}r

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9
Q

how do you simplify a square root

A

split it into factors with easy square roots

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10
Q

Alternative way to write negative exponent

A

1/(Positive power)

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11
Q

Something to the power of 0

A

anything to the power of zero is ALWAYS 1

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12
Q

0 to any power

A

0 to any power is always 0

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13
Q

How do you multiply exponents (with same base)

A

Add the exponents together over same base

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14
Q

How do you divide exponents (with same base)

A

subtract the exponents over same base

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15
Q

What is an exponent to a(nother) power

A

Multiply the two powers

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16
Q

How do you combine/simplify exponents

A

factor the bottoms so they match

17
Q

Area of a Triangle

A

(1/2)b*h

18
Q

sum of a consecutive series of integers

A

[N(N+1)]/2

19
Q

sum of all even integers in a consecutive series

A

[(First even integer + Last even integer)/2] −1

20
Q

FIVE Common quadratics; ya fucking bish

A

(a+b)^2 = a^2 +(2ab)+b^2
(a−b)^2 = a^2 −(2ab)+b^2
a^2 −b^2 = (a+b)(a−b)

a^2 +b^2 =
–1–(a−b)^2 +(2ab)
or
–2–(a+b)^2 −2ab