Chapter 10: Mathematics Flashcards

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1
Q

square root of two (estimate)

A

1.4

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2
Q

square root of 3 (estimate)

A

1.7

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3
Q

11^2

A

121

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4
Q

12^2

A

144

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5
Q

13^2

A

169

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6
Q

14^2

A

196

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7
Q

15^2

A

225

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8
Q

16^2

A

256

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9
Q

20^2

A

400

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10
Q

this means…

A
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11
Q
A

= 0

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12
Q
A

1

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13
Q

log (A x B) =

A

log (A) + log (B)

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14
Q

log (A/B) =

A

log (A) - log (B)

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15
Q
A
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16
Q

log (1/A) =

A

–log(A)

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17
Q

Euler’s number (e) estimate

A

2.7

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18
Q

convert between natural logs (base e) and common logs (base 10)

A

log x ~ lnx / 2.3

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19
Q

approximate log (n x 10^m)

A

~ m + 0.n

example: log (9.2 x 10^8) ~ 8 + 0.92 = 8.92

20
Q

pi circle values

A

(cos, sin)

21
Q

sin θ =

A

opposite / hypotenuse

22
Q

cos θ =

A

adjacent / hypotenuse

23
Q

tan θ =

A

opposite / adjacent

24
Q

direct vs inverse relationships

A

direct: increasing one variable causes a proportional increase the other

inverse: increasing one variable causes a proportional decrease in the other

25
Q

conversions which maintain the same base unit but change prefixes

A

ex. grams → _kilo_grams → micrograms

26
Q

tera- (T)

A

10^12

27
Q

kilo- (k)

A

10 ^ 3 or 1000

ex. 1 kg contains 1000 g

28
Q

deci- (d)

A

10^-1

10

ex. 1 m contains 10 dm

29
Q

centi- (c)

A

10 ^ -2

  1. 01
    ex. 1m contains 100 cm
30
Q

milli- (m)

A

10 ^ -3

  1. 001
    ex. 1g contains 1000 mg
31
Q

micro- (µ)

A

10 ^ -6

1 / 1,000,000

ex. 1g contains 1,000,000 µg

32
Q

nano- (n)

A

10 ^ -9

ex. 1g contains 10 ^ 9 ng

33
Q

pico- (p)

A

10 ^ -12

ex. 1g contains 10 ^ 12 pg

34
Q

Celsius to Kelvin

A

K = C + 273

35
Q

Kelvin to Celcius

A

C = K - 273

36
Q

Celcius to Fahrenheit

A

F = 9/5 C + 32

37
Q

1 Volt =

A

1 joule / coulomb

38
Q

1 joule =

A

1 newton meter

(N x m)

39
Q
A
40
Q
A
41
Q
A
42
Q
A
43
Q
A
44
Q
A
45
Q
A
46
Q
A
47
Q

area of a circle

A