STEM

Question 1

taxicab number, characteristic (details), background story.

Answer 1

1729, the smallest number that is the sum of two cubes in two different ways (1^3+12^3 and 9^3+10^3), mentioned by Srinivasa Ramanujan to GH Hardy when commenting about a number on a London cab.

Question 2

formula for the derivative of a polynomial

Answer 2

where f(x) = ax^n + b
f(x)’ = nax^(n-1) + 0

Question 3

quadratic formula

Answer 3

x = (-b +/- √[b^2 - 4ac])/2a

Question 4

Define RNN + LLM

Answer 4

Recurrent Reural Network (RNN) plus Large Language Model (LLM) equals receptance weighted key value (RWKV)

Question 5

drug that reduces glucose levels, effects similar to insulin (full name)

Answer 5

GLP-1 RA (glucagon-like peptide-1 receptor agonist)

Question 6

Trig derivatives

Answer 6

sin’(x) = cos(x)
cos’(x) = -sin(x)
tan’(x) = sec^2(x)

Question 7

Product Rule

Answer 7

(uv)’ = u’v + v’*u

Question 8

Quotient Rule 

Answer 8

(u/v)’ = (u’v - v’u)/v^2

Question 9

Chain Rule

Answer 9

{g[f(x)]}’ = g’[f(x)] * [f(x)]’

Question 10

failed anti-inflammatory that shows promise as a snakebite antivenom

Answer 10

Varespladib

Question 11

3 common oaks of California, in order of increasing size (Linnean name)

Answer 11

scrub oak (Quercus berberidifolia)
live oak (Quercus agrifolia)
valley oak (Quercus lobata)

Question 12

CRISPR-Cas9 full name; function

Answer 12

clustered regularly interspaced short palindromic repeats + CRISPR-associated protein 9 ;

gene-editing chemical derived from bacteria that use it to disable bacteriophages

Question 13

common SoCal hillside plant, not the poisonous variety (scientific name)

Answer 13

laurel sumac (Malosma laurina)

Question 14

Kuiper Belt object visited by New Horizons spacecraft 2019 Jan 01 (early informal name)

Answer 14

Arrokoth (Ultima Thule)

Question 15

unable to think past a single idea

Answer 15

Einstellung effect

Question 16

Planck constant, use, formula

Answer 16

h = 6.62607015×10^−34 J⋅sec

for calculating the energy of a photon, as:

E = hF ,

where
E = energy of photon
h = Planck constant
F = frequency (cycles per second)

Question 17

reduced Planck constant symbol, derivation, value

Answer 17

ħ (pronounced h-bar) = h/2π = 1.054571817×10^−34Js

Question 18

Mohs scale list, mnemonic

Answer 18

1 talc
2 gypsum
3 calcite
4 fluorite
5 apetite
6 orthoclase
7 quartz
8 topaz
9 corundum
10 diamond

Terrible Giants Can Find Alligators
Or Quaint Trolls Conveniently Digestible

Question 19

5 skin layers from deep to superficial

Answer 19

stratum basale
stratum spinosum
stratum granulosum
stratum lucidum
stratum corneum

Question 20

density formula, pronunciation

Answer 20

ρ = m/V = kg/m^3

“rho equals mass divided by Volume”

(NOTE: “ρ” is italicized)

Question 21

force formula, force unit

Answer 21

F = ma

newton = 1kgm/s^2

Question 22

work equation (SI unit)

Answer 22

J = f x d (joule)

w = (ma) x d

work = force x distance

J = N x m

J = 1kg x 1m/s^2 = 1kgm^2/s^2

Question 23

AI HHH principle

Answer 23

helpful, honest, harmless

Question 24

skills and abilities that are hard to teach (as opposed to formal info like math or history)

Answer 24

tacit knowledge

Question 25

Beaufort scale

Answer 25

0 00-00 mph calm 1 01-03 mph light air 2 04-07 mph light breeze 3 08-12 mph gentle breeze 4 13-18 mph moderate breeze 5 19-23 mph fresh breeze 6 24-30 mph strong breeze 7 31-38 mph near gale 8 39-45 mph gale 9 46-54 mph strong gale 10 55-63 mph storm 11 64-72 mph violent storm 12 73+ mph hurricane-force

Question 26

anti-gingivitis oral rinse active ingredient

Answer 26

cetylpyridinium chloride

Question 27

value of E (alt name)

Answer 27

2.718281828 (Euler's Number)

Question 28

lead atomic #

Answer 28

82

Question 29

iron atomic #

Answer 29

26

Question 30

4 wild bird species with populations above 1 billion

Answer 30

1. house sparrow 2. European starling 3. ring-billed gull 4. barn swallow

Question 31

quadratic equation

Answer 31

ax^2 + bx + c = 0 [iff a ≠ 0]

Question 32

weather: 6 key measures

Answer 32

temperature pressure wind speed wind direction humidity precipitation

Question 33

world grain production by tonnage

Answer 33

corn 1.2B wheat 0.8B rice 0.5B barley 0.1B sorguum 0.06 oats 0.02 rye 0.01

Question 34

Kelly criterion: def, formula

Answer 34

amount of bankroll to bet: K = (bp - q)/b or K = (bp - (1-p))/b b = profit (payoff rate) (1 = 100%) p = probability of win q = probability of loss EX: b = 1, p = 0.6, q = 0.4 thus: K = (1 x 0.6 - 0.4)/1 = 0.2

Question 35

formula for interest compounding

Answer 35

A = P(1+r/n)^nt A = final amount P = initial principal balance r = interest rate n = number of times interest applied per time period t = number of time periods elapsed

Question 36

Bayes's Theorem

Answer 36

P(A|B) = P(B|A) x P(A) / P(B)

Question 37

pi to 15 digits; mnemonic

Answer 37

3.14159265358979 How I need a drink, alcoholic of course, after the heavy lectures involving quantum mechanics.

Question 38

amino acid structure

Answer 38

carboxyl (COOH) + amine (NH2) + R group

Question 39

NLP full name, definition

Answer 39

Natural Language Processing, the ability of computers to understand, interpret, and generate human language; LLMs are one type