State whether the given measurements determine zero, one, or two triangles. B = 81°, b = 26, c = 28 (5 points)

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -54, 27, , …   (5 points)

According to basic activity recommendation (CDC, WHO), at minimum how many minutes of moderate activity per week should an adult strive to achieve? 

Determine whether a triangle can be formed with the given side lengths. If so, use Heron’s formula to find the area of the triangle. a = 240b = 121c = 302 (5 points)

(04.02 MC)  When a certain coin is flipped, the probability of obtaining a tails is 0.65. Which of the following is the probability that tails would be obtained exactly 10 times when the coin is flipped 20 times? (4 points)

 Explain how blood pH is maintained in the body with the help of Le-Chatelier’s principle and carbonate-bicarbonate equilibrium reaction.                         

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)