As the moon revolves around the earth, the side that faces the earth is usually just partially illuminated by the sun. The phases of the moon describe how much of the surface appears to be in sunlight. An astronomical measure of phase is given by the fraction F of the lunar disc that is lit. When the angle between the sun, earth, and moon is e (0 so < 360°), then the fraction F is given by the formula below. F-(1 - cos(e)) Determine the angles 0 that correspond to the following phases. (Enter your answers as a comma-separated list.) (a) F= 0 (new moon) (b) F = 0.25 (crescent moon) (c) F- 0.5 (first or last quarter) O- 90, 270 (d) F= 1 (full moon) 0 = 180

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.