Simplify
(24xy3)/(8x2y2x-1z-2)
2yz2
What angle do supplementary angles add up to?
180
Derivative of ex
ex
Cupid has what name in Greek mythology?
Eros
PLANTS GREEN. WHY.
Chlorophyll
Horizontal Asymptote
(x2+2x+1)/(x3+1)
y=0
Right triangle with a leg of 6 and a hypotenuse of 10. What is the perimeter?
24
Integral of 1/(2x2)
-1/(2x) + c
What brain chemical is known as the "cuddle" or "love hormone?"
Oxytocin
What is Newton's First Law of Motion?
An object will have a constant velocity (same speed and direction) unless acted upon by an external net force
Solve for x:
log3(x+6)=2+log3(x-2)
x=3
A pentagon has angles of 100, 80, 70, and 120. What is the last angle?
170
Derivative of 2cos2(2x)+2sin2(2x)
0
The love goddess Aphrodite was said to be born from what?
Seafoam
Which planets spin backward relative to the others?
Venus and Uranus
What's the Determinant?
| x2 x |
| x+1 3 |
2x2-x
An isosceles right triangle has a leg of length 5. What is the perimeter?
10 + 5sqrt(2)
Integral of x3sinx
-x3cosx + 3x2sinx + 6xcosx - 6sinx + c
In Roman mythology, with whom did Cupid fall in love?
Psyche
Why is gravity not a force?
General relativity
Solve for x if x = -5 for one of the solutions:
x5 + 5x4 - 2x3 - 10x2 + x + 5 = 0
x = -5, 1, -1
What type of center is made from the altitudes of a triangle intersecting?
Orthocenter
Integral of sec4x
1/3 tan3x + tanx + c
What emperor called for St. Valentine's execution?
Claudius II
What theory involves cells engulfing mitochondria?
Endosymbiotic theory