Math/Units

Question 1

How do you multiply in scientific notation?

Answer 1

Multiply significands, then add exponents

Question 2

How do you divide in scientific notation?

Answer 2

Divide significands, then subtract exponent in denominator from exponent in numerator

Question 3

How do you deal with exponents and scientific notation?

i.e. (6.0 x 10⁴)²

Answer 3

Significand is raised to that power and exponent is multiplied by that number

= 3.6 x 10⁹

Question 4

sin 0 = ?

Answer 4

0

(√0/2)

Question 5

sin 90 = ?

Answer 5

1

(√4/2)

Question 6

sin 180 = ?

Answer 6

0

Question 7

sin 270 = ?

Answer 7

-1

Question 8

cos 0 = ?

Answer 8

1

(√4/2)

Question 9

cos 90 = ?

Answer 9

0

(√0/2)

Question 10

cos 180 = ?

Answer 10

-1

Question 11

cos 270 = ?

Answer 11

0

Question 12

Does sin increase or decrease from 0 –> 90˚ ?

Answer 12

increase

Question 13

Does cos increase or decrease from 0 –> 90˚ ?

Answer 13

decrease

Question 14

sin 30 = ?

Answer 14

1/2

(√1/2)

Question 15

sin 45 = ?

Answer 15

√2/2

Question 16

sin 60 = ?

Answer 16

√3/2

Question 17

cos 30 = ?

Answer 17

√3/2

Question 18

cos 45 = ?

Answer 18

√2/2

Question 19

cos 60 = ?

Answer 19

1/2

(√1/2)

Question 20

log_B A=C

y= log (x)

Answer 20

A= B^C

10^y=X

Question 21

y = ln (X)

Answer 21

e^y = X

Question 22

log (1) = ?

Answer 22

0

Question 23

log (<1) = ?

Answer 23

negative #

Question 24

log (>1) = ?

Answer 24

positive #

Question 25

log (ab) = ?

Answer 25

log a + log b

Question 26

log (a/b) = ?

Answer 26

log a - log b

Question 27

log a^b = ?

Answer 27

(b) log a

Question 28

When tan Ø = 1 what is Ø ?

Answer 28

Ø= 45˚

Question 29

How to add/subtract vectors?

Answer 29

Place tip to tail and add (or if subtracting reverse direction of one vector then add as normal)

Question 30

When multiplying the vector by a scalar..

Answer 30

• multiply by scalar to get magnitude
• a postivie scalar will keep same direction
• a negative scalar will flip direction of vector

Question 31

10^-2 = ?

Answer 31

1/10²=1/100=0.01

Question 32

1/10^-2 = ?

Answer 32

10²

Question 33

What is the density of water in SI units?

Answer 33

1g x 1mL x ((10²))³ cm³ = 1000kg/m³

mL 1cm³ (1)³ m³

• write normal ratio of unit conversion in parentheses then apply the exponent

Question 34

percent change = ?

Answer 34

% change= (final-inital)/intital x100%

Question 35

what are the numerical equivalents to a % increase of:

100%

150%

200%

300%

Answer 35

100% = 2

150% = 2.5

200% = 3

300% = 4

Question 36

volume of a sphere

surface area of a sphere

Answer 36

4/3 πr²

4πr^{<span>2</span>}

Question 37

volume of a cylinder

Answer 37

πr²h

Question 38

area of a circle

circumference of a circle

Answer 38

πr²

2πr

Question 39

area of a triangle

Answer 39

1/2 bh

Question 40

what does the area underneath a vel v. time graph represent?

Answer 40

distance (height) traveled

Question 41

pH

Answer 41

• “p” in front of anything means -log of the concentration of that thing ie. pH= -log [H⁺]
• negative in front of log means a lower pH=higher [H⁺}
• log means change in pH of 2 correlates with change on ion conc of 10²

Question 42

arc = ?

Answer 42

arc= Ø*r

Question 43

what are all the equivalent units of pressure?

Answer 43

1 atm= 760 torr= 760 mmHg= 10⁵ Pa