Find the value of (sin²θ - 2sin⁴θ) / (2cos⁴θ + cos²θ) at θ = 45°.

There are four numbers such that average of first two numbers is 1 more than the first number, avera...

A student was tasked with finding the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17...

The average of four positive integers is 59. The highest integer is 83, and the lowest integer is 2...

The average weight of A, B, and C is 45 kg. If the average weight of A and B is 40 kg, and the aver...

A library has an average of 510 visitors on Sundays and 240 visitors on other days. Calculate the a...

There are 4 consecutive odd numbers (x₁, x₂, x₃, and x₄) and three consecutive even numbers (y₁, y₂,...