Logic
A bat costs $1 more than a baseball. Purchased together, they cost $1.10. How much does each item cost?
text(What are) $1.05 text(and) $0.05?
Simplify the following:
2 + 5x + 1 + 3x + 7x^2
What is
3 + 8x + 7x^2?
What is 180^(circ) in radians?
text(What is) pi?
If f(x) is a smooth and continuous function, then this tells us the slope of the tangent line anywhere on f(x)
text(What is the derivative of) f(x)?
This is the longest side of a right triangle
What is the hypotenuse?
How many people are two pairs of twins twice?
What is 8?
Find the value of x
3/(1000-x)=1
text(What is) 997?
Name all six trigonometric functions
What are sine, cosine, tangent, cosecant, secant, and cotangent?
Evaluate d/(dx)(sinx^2-1000000e pi)
What is
2x cdot cosx^2?
Two congruent angles are supplementary. What type of angles are these?
What are right angles?
David is driving at 10 miles per hour. Joe is driving twice David's speed. Jake Paul is driving three times Joe's speed. Freddy from FNAF is driving at a sixth of Jake Paul's speed. How fast is Freddy driving?
What is 10 miles per hour?
This expression determines the number of real roots of a quadratic polynomial
What is the discriminant?
What is the sine of the inverse sine of some number x?
text(What is) x?
The summation of rectangles to approximate the area under a curve is known as what?
What is a Riemann sum?
A point on the xy-plane is located at (1,1) . The point is first reflected across the x-axis, then reflected across the origin, then reflected across the y-axis. What is the point's final location?
text(What is) (1,1)?
At Alondra the Nerd's internship, three crates from left to right are labeled "Apples," "Oranges," and "Apples and Oranges." Management tells her that the labels are all wrong. She takes out an apple from the Apples and Oranges crate and immediately figures out which labels go where. How?
Note: The answer doesn't need to be a question
The Apples and Oranges crate must be the Apples crate. This means that the Oranges crate must be the Apples and Oranges crate, and the Apples crate is the Oranges crate.
Simplify the following:
(sqrt((4x+1)^2-x^3+(3x-6)/3))^(2^0-1)
text(What is) 1?
The period of the function
f(x)=sinx
is 2pi. I want to make the function oscillate twice as fast. What is the new function and its period?
What are
f(x)=sin2x text(and) pi?
Evaluate
int_-100^100 x^3sin^2xcosxdx
text(What is) 0?
I have an infinitely large cone and a plane. I angle the plane such that it's parallel to the slope of the cone. I then slice through the cone with the plane. What is the shape of the cut?
What is a parabola?
A man is caught stealing from the king's treasury. The king tells the man, "If you tell me a true statement, you will be fed to the lions. If you tell me a false statement, you will be trampled by wild buffalo."
What must he say to go unpunished?
What is "I will be trampled of wild buffalo?"
Simplify the following:
((x!)^3 )/(x! cdot (x-1)! cdot (x+1)!
What is
x/(x+1)?
The side length of a regular hexagon is 5 meters. What is the distance between two opposite vertices on the hexagon?
What is 10 meters?
Alondra the Nerd rotates the curve of a function f(x) about the x -axis. She now wants to find the volume of the resulting solid of revolution via integration by disks. What is the element of volume (the volume of each tiny disk)?
text(What is) pi[f(x)]^2dx?
Three planes do not meet at a single point or line, and none of the planes are parallel to one another. What solid must be formed?
What is a triangular prism?