Prove the sum of the coefficients of the binomial theorem is equal to 2^n

In water, the greater the depth, the higher the pressure. For every 10 m increase in depth, water pressure increases by about 100 kilopascals (kPa). At a depth of 40 m, the pressure is approximately 500 kPa.

What is the slope of a line - 3x + 20y = 40

What quantity is proportional to 54⁄6?

The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width if the rectangle.

A, B, and C are not choice answers, they're small questions. 1. Determine whether the binomial can be written as a difference of two squares. (a) p9 - 25 (b) a8 - 18 (c) g2 - 36

To which power must you raise the expression y 1/5 to get y as the result

What is C = 2πr? Solve for r.

X varies directly as y, and x = 153 when y = 9. Find x when y = 13. A: 106 B: 157 C: 221

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Write each of the following as a mathematical expression. State whether the expression is linear or nonlinear. If it is nonlinear, then explain why. 1. A number decreased by three squared 2. The quotient of two and a number, subtracted from seven 3.