Find the standard form of the equation of the parabola with a focus at (0, 5) and a directrix at y = -5. (5 points)

Find the fourth roots of 256(cos 240° + i sin 240°). (5 points)

Solve the triangle. A = 19°, C = 102°, c = 6 (5 points)

A certain species of tree grows an average of 3.1 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 600 centimeters tall. (8 points)

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 31 ft, c = 18 ft (5 points)

Find an equation for the nth term of the sequence. -4, -16, -64, -256, … (7 points)  

Find the sum of the geometric sequence. (7 points)

Based on scientific research the recommended amount of water to drink in a day is: 

Evaluate the expression. r = , v = , w = v ⋅ w (5 points)

Write the complex number in the form a + bi. 4 (5 points)