geometric sequence

using the formular Sn find the sum for the geometric sequence 6 (3) E (/) (3)i i-1 (2)

amplitude

what is the amplitude of the wave of the equation y=-4 sin 5x

Volume of a cube

Given a cube with a surface area of 54 square inches. If the length of each side is tripled, the volume of the cube will be: A. increased by six times B. increased by twenty seven times C. tripled D. cannot be determined.............Clearly not this one!!

Volume

The pressure of a sample of gas at a constant temperature of 25 degrees C is increased from 1.0atm to 1.2atm. If the original volume was 3.8 liters, what will the new volume be..(in Liters?)

Obtaining a quadratic equation from a parametric equation

Part (a) gives a parametric equation and says deduce the equation of the line in the form of y = mx + c (easy enough) and to find values where the line crosses the y and x axis. (y = -12x + 18) There is a sketch of a 'left' sided triangle with a shaded area comprising a rectangle and a triangle (or three triangles). We are asked to determine an expression for this shaded area and then find the completed square form of the expression - this implies a quadtratic equation. We are then asked to use the completed square form expression to find the maximum value of the shaded area.