Chapter 10: Mathematics Flashcards
square root of two (estimate)
1.4
square root of 3 (estimate)
1.7
11^2
121
12^2
144
13^2
169
14^2
196
15^2
225
16^2
256
20^2
400
this means…
= 0
1
log (A x B) =
log (A) + log (B)
log (A/B) =
log (A) - log (B)
log (1/A) =
–log(A)
Euler’s number (e) estimate
2.7
convert between natural logs (base e) and common logs (base 10)
log x ~ lnx / 2.3
approximate log (n x 10^m)
~ m + 0.n
example: log (9.2 x 10^8) ~ 8 + 0.92 = 8.92
pi circle values
(cos, sin)
sin θ =
opposite / hypotenuse
cos θ =
adjacent / hypotenuse
tan θ =
opposite / adjacent
direct vs inverse relationships
direct: increasing one variable causes a proportional increase the other
inverse: increasing one variable causes a proportional decrease in the other
conversions which maintain the same base unit but change prefixes
ex. grams → _kilo_grams → micrograms
tera- (T)
10^12
kilo- (k)
10 ^ 3 or 1000
ex. 1 kg contains 1000 g
deci- (d)
10^-1
10
ex. 1 m contains 10 dm
centi- (c)
10 ^ -2
- 01
ex. 1m contains 100 cm
milli- (m)
10 ^ -3
- 001
ex. 1g contains 1000 mg
micro- (µ)
10 ^ -6
1 / 1,000,000
ex. 1g contains 1,000,000 µg
nano- (n)
10 ^ -9
ex. 1g contains 10 ^ 9 ng
pico- (p)
10 ^ -12
ex. 1g contains 10 ^ 12 pg
Celsius to Kelvin
K = C + 273
Kelvin to Celcius
C = K - 273
Celcius to Fahrenheit
F = 9/5 C + 32
1 Volt =
1 joule / coulomb
1 joule =
1 newton meter
(N x m)
area of a circle
