Review Math 3

Front

Peter can mow the lawn in 40 minutes. Together, Peter and John can mow the lawn in 24 minutes. How long will it take John to mow the lawn by himself?

Back

60 minutes

Front

Solve for v in the equation: 3v + 5 = 20.

Back

v = 5

Front

The volume of a cylinder is given by the formula V = πr²h. If the volume is 150 in³ and the radius is 4 in, what is the height?

Back

3 inches

Front

What is a vertical asymptote in a function?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity.

Front

A circle has a radius of 5 inches. What is the length of an arc that has a central angle of 2π/3 radians?

Back

10π/3 inches

Front

What is the formula for the area of a circle?

Back

A = πr²

Front

If a function f(x) has a horizontal asymptote at y = b, what does this mean?

Back

As x approaches infinity or negative infinity, f(x) approaches b.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the formula for the circumference of a circle?

Back

C = 2πr