math history
what’s the name of the person who invented 0
aryabhata
let p = a^b + b^a. if a b and p are all prime what’s the value of p?
17
what is the main ingredient in guacamole
avocado
it is given that x is a function of t, dx/dt = 1-e^2t, and x=2 when t=0.
express x in terms of t
t - (e^2t)/2 + 2.5 = x
who’s considered the father of geometry? (hint: he’s greek)
euclid
a^0.5 - b^0.5 = 20
a and b are real numbers
what’s the max value of a - 5b
500
what’s the largest organ in the human body
the skin
what do you do when you wake up
open your eyes
the curve y=acosbx+c, where a b and c are positive integers, is defined for 0 ≤ x ≤ pi.
curve has an amplitude of 3 and a period of pi/3 radians. minimum value of y is 4.
state the value of a b and c
a is 3, b is 6, c is 7
who was the first woman to receive a doctorate in math
sofia kovalevskaya
let A = (cos10)^2 + (cos50)^2 - sin40sin80 (all angles in degrees)
determine value of 100A
75
what is the cooking technique that involves cooking food over low heat for an extended period of time until it becomes tender?
braising
i speak wi thought a mouth and hear without ears. i have no body, but i come alive with he wind. what am i?
an echo
express this in partial fractions:
(9x^2 - 10x - 16) / (2x^3 + 6x^2 + x + 3)
5/(x+3) - (x+7)/(2x^2+1)
what ancient civilisation developed a sophisticated number system based on 60?
ancient sumerians
in the triangle ABC, AB = AC, <A is 90 degrees, D is the midpoint of BC, E is the midpoint of AC and F is a point on AB such that BE intersects CF at P and B, D, P, F all lie ion a circle. let AD intersect CP and H. given that AP = √5 + 2, find length of PH
1
which country recently launched the first all civilian mission to space named ‘inspiration4’?
usa
what has keys but can’t open locks
a piano
find the integral of 4xe^2x
e^2x(2x-1) + C
what famous mathematician is known for his incompleteness theorems, which demonstrated inherent limitations of formal mathematical systems?
kurt gödel
determine the largest even positive integer which cannot be expressed as the sum of 2 composite odd positive integers
38
in what year did the titanic sink
1912
i’m not alive, but i can grow; i don’t have lungs, but i need air; i don’t have a mouth, but water kills me
what am i
fire
given that x^2 + 2x -3 is a factor of the function f(x) = x^4 + 6x^3 + 2ax^2 + bx - 3a, find the value of a and b.
a is 5, b is -2