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 the sum of the geometric sequence. (7 points)

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

(04.01 LC)  The number of sodas a vendor sells daily has the probability distribution represented in the table. Number of Sodas, x 0 5 10 15 20 25 P(x) 0.01 0.15 0.25 0.3 0.25 0.04 If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas? (3 points)

Let u = , v = . Find 4u + 2v. (5 points)

Calculate the change in temperature resulting from removing 0.134 kJ of heat to a 50.00g block of aluminum. (Specific heat of aluminum is 0.901 J/g ºC. If the initial temperature was 25oC, what would be the final temperature.