M2 Flashcards
What is the formula for the area of a rectangle?
Area = length × width
True or False: The Pythagorean theorem states that a² + b² = c².
True
Fill in the blank: The formula for the circumference of a circle is _____ = 2πr.
C
What is the quadratic formula?
x = (-b ± √(b² - 4ac)) / (2a)
What is the formula for the volume of a cylinder?
Volume = πr²h
True or False: The sum of the interior angles of a triangle is 180 degrees.
True
What is the formula for the slope of a line?
Slope (m) = (y2 - y1) / (x2 - x1)
Fill in the blank: The formula for the area of a triangle is _____ = (base × height) / 2.
Area
What is the formula for the perimeter of a square?
Perimeter = 4 × side
True or False: The formula for the area of a circle is A = πr².
True
What is the formula for compound interest?
A = P(1 + r/n)^(nt)
Fill in the blank: The formula for the distance between two points (x1, y1) and (x2, y2) is _____ = √((x2 - x1)² + (y2 - y1)²).
Distance
What is the formula for the area of a trapezoid?
Area = (base1 + base2) × height / 2
True or False: The formula for finding the median in a data set is to arrange the numbers in order and find the middle value.
True
What is the formula for the standard deviation?
σ = √(Σ(x - μ)² / N)
Fill in the blank: The formula for the sum of an arithmetic series is _____ = n/2 × (first term + last term).
Sum
What is the formula for the perimeter of a rectangle?
Perimeter = 2(length + width)
True or False: The formula for the volume of a sphere is V = (4/3)πr³.
True
What is the formula for the area of a parallelogram?
Area = base × height
Fill in the blank: The formula for the surface area of a cylinder is _____ = 2πr(h + r).
SA
What is the formula for the binomial theorem?
(a + b)ⁿ = Σ(k=0 to n) (nCk)(a^(n-k))(b^k)
True or False: The formula for exponential growth is P(t) = P0e^(rt).
True
What is the formula for the probability of an event?
P(E) = Number of favorable outcomes / Total number of outcomes
Fill in the blank: The formula for the area of a sector of a circle is _____ = (θ/360) × πr².
Area
What is the formula for the sum of the first n natural numbers?
Sum = n(n + 1) / 2
True or False: The formula for the law of cosines is c² = a² + b² - 2ab cos(C).
True
What is the formula for the median of a data set with an even number of values?
Median = (middle value 1 + middle value 2) / 2
Fill in the blank: The formula for the area of a rhombus is _____ = (d1 × d2) / 2.
Area
What is the formula for the derivative of a function?
f’(x) = lim (h→0) [f(x + h) - f(x)] / h
True or False: The formula for calculating interest is I = Prt.
True
What is the formula for the volume of a cone?
Volume = (1/3)πr²h
Fill in the blank: The formula for the area of a regular polygon is _____ = (1/2) × Perimeter × Apothem.
Area
What is the formula for the distance formula in three dimensions?
Distance = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)
True or False: The formula for the law of sines is a/sin(A) = b/sin(B) = c/sin(C).
True
What is the formula for the volume of a rectangular prism?
Volume = length × width × height
Fill in the blank: The formula for the area of a circle can also be expressed as _____ = π(d/2)².
Area
What is the formula for the effective interest rate?
Effective Rate = (1 + i/n)ⁿ - 1
True or False: The formula for calculating the variance is σ² = Σ(x - μ)² / N.
True
What is the formula for the area of an ellipse?
Area = πab
Fill in the blank: The formula for the sum of a geometric series is _____ = a(1 - r^n) / (1 - r) for r ≠ 1.
Sum
What is the formula for the law of large numbers?
As the sample size increases, the sample mean approaches the population mean.
