Chapter 10: Mathematics Flashcards
1
Q
square root of two (estimate)
A
1.4
2
Q
square root of 3 (estimate)
A
1.7
3
Q
11^2
A
121
4
Q
12^2
A
144
5
Q
13^2
A
169
6
Q
14^2
A
196
7
Q
15^2
A
225
8
Q
16^2
A
256
9
Q
20^2
A
400
10
Q
this means…
A
11
Q
A
= 0
12
Q
A
1
13
Q
log (A x B) =
A
log (A) + log (B)
14
Q
log (A/B) =
A
log (A) - log (B)
15
Q
A
16
Q
log (1/A) =
A
–log(A)
17
Q
Euler’s number (e) estimate
A
2.7
18
Q
convert between natural logs (base e) and common logs (base 10)
A
log x ~ lnx / 2.3
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
conversions which maintain the same base unit but change prefixes
ex. grams → _kilo_grams → **_micro_**grams
26
tera- (T)
10^12
27
kilo- (k)
10 ^ 3 or 1000
ex. 1 kg contains 1000 g
28
deci- (d)
10^-1
10
ex. 1 m contains 10 dm
29
centi- (c)
10 ^ -2
0. 01
ex. 1m contains 100 cm
30
milli- (m)
10 ^ -3
0. 001
ex. 1g contains 1000 mg
31
micro- (µ)
10 ^ -6
1 / 1,000,000
ex. 1g contains 1,000,000 µg
32
nano- (n)
10 ^ -9
ex. 1g contains 10 ^ 9 ng
33
pico- (p)
10 ^ -12
ex. 1g contains 10 ^ 12 pg
34
Celsius to Kelvin
K = C + 273
35
Kelvin to Celcius
C = K - 273
36
Celcius to Fahrenheit
F = 9/5 C + 32
37
1 Volt =
1 joule / coulomb
38
1 joule =
1 newton meter
| (N x m)
39
40
41
42
43
44
45
46
47
area of a circle
