Chapter 10: Mathematics

Question 1

square root of two (estimate)

Answer 1

1.4

Question 2

square root of 3 (estimate)

Answer 2

1.7

Question 3

11^2

Answer 3

121

Question 4

12^2

Answer 4

144

Question 5

13^2

Answer 5

169

Question 6

14^2

Answer 6

196

Question 7

15^2

Answer 7

225

Question 8

16^2

Answer 8

256

Question 9

20^2

Answer 9

400

Question 10

this means…

Answer 10

Question 11

Answer 11

= 0

Question 12

Answer 12

1

Question 13

log (A x B) =

Answer 13

log (A) + log (B)

Question 14

log (A/B) =

Answer 14

log (A) - log (B)

Question 15

Answer 15

Question 16

log (1/A) =

Answer 16

–log(A)

Question 17

Euler’s number (e) estimate

Answer 17

2.7

Question 18

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

Answer 18

log x ~ lnx / 2.3

Question 19

approximate log (n x 10^m)

Answer 19

~ m + 0.n

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

Question 20

pi circle values

Answer 20

(cos, sin)

Question 21

sin θ =

Answer 21

opposite / hypotenuse

Question 22

cos θ =

Answer 22

adjacent / hypotenuse

Question 23

tan θ =

Answer 23

opposite / adjacent

Question 24

direct vs inverse relationships

Answer 24

direct: increasing one variable causes a proportional increase the other

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

Question 25

conversions which maintain the same base unit but change prefixes

Answer 25

ex. grams → _kilo_grams → **_micro_**grams

Question 26

tera- (T)

Answer 26

10^12

Question 27

kilo- (k)

Answer 27

10 ^ 3 or 1000 ex. 1 kg contains 1000 g

Question 28

deci- (d)

Answer 28

10^-1 10 ex. 1 m contains 10 dm

Question 29

centi- (c)

Answer 29

10 ^ -2 0. 01 ex. 1m contains 100 cm

Question 30

milli- (m)

Answer 30

10 ^ -3 0. 001 ex. 1g contains 1000 mg

Question 31

micro- (µ)

Answer 31

10 ^ -6 1 / 1,000,000 ex. 1g contains 1,000,000 µg

Question 32

nano- (n)

Answer 32

10 ^ -9 ex. 1g contains 10 ^ 9 ng

Question 33

pico- (p)

Answer 33

10 ^ -12 ex. 1g contains 10 ^ 12 pg

Question 34

Celsius to Kelvin

Answer 34

K = C + 273

Question 35

Kelvin to Celcius

Answer 35

C = K - 273

Question 36

Celcius to Fahrenheit

Answer 36

F = 9/5 C + 32

Question 37

1 Volt =

Answer 37

1 joule / coulomb

Question 38

1 joule =

Answer 38

1 newton meter | (N x m)

Question 39

Answer 39

Question 40

Answer 40

Question 41

Answer 41

Question 42

Answer 42

Question 43

Answer 43

Question 44

Answer 44

Question 45

Answer 45

Question 46

Answer 46

Question 47

area of a circle

Answer 47