1,936 divided by 11
176
Expand (a+b)3
a3+3a2b + 3ab2+b3
How many integer values of x satisfy |x| < 4π ?
25
What famous number sequence often appears in nature and was discovered in 1202 AD?
Fibonacci Sequence
Compute all ordered pairs of real numbers (x,y) that satisfy both of the equations:
x2 + y2 = 6y-4x+12 and 4y=x2+4x+12
(-6, 6) and (2, 6)
Solve the equation for x: 12x + 312 = 864
46
Name the different ways to prove triangle congruence.
SSS, SAS, ASA, AAS and HL
Ted mistakenly wrote 2m√(4096}) as 2*mth√(1/4096). What is the sum of all real numbers m for which these two expressions have the same value?
7
Who is considered the father of geometry?
Euclid
What is the product of the first 5 odd numbers?
945
One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and travels west at 40 mph. At what rate is the distance between the cars changing at the instant the second car has been traveling for 1 hour?
About 47.15
In the following list of numbers, the integer n appears n times in the list for 1 to 200 inclusive.
{1, 2, 2, 3, 3, 3, 4, 4, 4, 4,…200, 200, …,200}What is the median of the numbers in this list?
142
Name e to 3 places after the decimal point.
2.718
What is 38*2?
13,122
For what value of k, if any, is the integral of kxe-2x evaluated from 0 to infinity equal to 1.
4
The roots of the polynomial 10x3 - 39x2 + 29x - 6 are the height, length, and width of a rectangular box (right rectangular prism). A new rectangular box is formed by lengthening each edge of the original box by 2 units. What is the volume of the new box?
30
In 1940, a number was given a name that, in 1998, inspired the name of something you likely used today. Spell the original name that was made in 1940.
Googol
Blue 1
Green 8
Red 9
Find the distance between the parallel planes
x + 2y − z = −1 and 3x + 6y − 3z = 3
(√6)/3
The midpoints of the four sides of a rectangle are (-3,0), (2,0), (5,4), and (0,4).What is the area of the rectangle?
40
At which decimal place appears the famous streak of 6 consecutive 9’s in pi?
762nd decimal place