What is the Ka of an acid is the pH at 1/2 the volume needed to reach the equivalence point is 3.86?

For each of the following terms, describe if they (1) are in eukaryotes or prokaryotes, (2) help increase or decrease transcription, (3) are proteins or DNA elements, (4) are cis- or trans-acting.

(a) activator
(b) enhancer
(c) repressor
(d) operator
(e) transcription factor
(f) initiator

1) What is the direction of the angular momentum for the rotation of the Earth?

2) If you give a hard boiled egg a spin on the table, it will keep spinning for a long time. If you do the same with an uncooked egg, it stops relatively quickly. Explain this.

3) A dumbbell consists of two uniform spheres of mass M and radius R, joined by a thin rod of radius r and length l and mass m.

a) What is the moment of inertia about an axis perpendicular to the rod, through the center of mass?

b) What is the moment of inertia about an axis parallel to the rod, through the center of mass?

4) A meterstick is initially standing vertically on a frictionless floor. A small gust of wind makes it begin to fall. At what angular velocity will it hit the floor?

1. What is the direction of the angular momentum for the rotation of the Earth?

2. If you give a hard boiled egg a spin on the table, it will keep spinning for a long time. If you do the same with an uncooked egg, it stops relatively quickly. Explain this.

3. A dumbbell consists of two uniform spheres of mass M and radius R, joined by a thin rod of radius r and length l and mass m.

a) What is the moment of inertia about an axis perpendicular to the rod, through the center of mass?

b) What is the moment of inertia about an axis parallel to the rod, through the center of mass?

4. A meterstick is initially standing vertically on a frictionless floor. A small gust of wind makes it begin to fall. At what angular velocity will it hit the floor?

      Show that     Var(x-a/)=1/h^2 Var(x)

            Use the following information to answer questions 1 and 2.

            This is the shareholders’ equity of Pinnacle on Dec 31, 2016.

• Common share (200,000 issued and outstanding)                                    $   800,000
• 7 percent, preferred shares (20,000 authorized, 18,000 issued)                    200,000
• Retained earnings                                                                                          650,000
• Total                                                                                                          $ 1,650,000

Notes:

1. Preferred shares were issued on Jan 1, 2013.
2. No dividends declared or paid since 2013 until Pinnacle declared and paid $400,000 dividends on Dec 31, 2016.

1. Assuming preferred shares are both cumulative and participating in dividend distributions in excess of a 10 percent dividend rate on the common shares, what was the total dividend that preferred and common shareholders received, respectively on Dec 31, 2016?
2. Assuming preferred shares are none cumulative, but participating in dividend distributions in excess of a 20 percent dividend rate on the common shares, what were the total dividends that preferred and common shareholders received, respectively on Dec 31, 2016?

For problems 1 and 2, the list shows the results of a study on the use of plus/minus grading at North Carolina State University. It shows the percents of graduate and undergraduate students who received grades with pluses and minuses (for example, C+, A-, etc.)

-Of all students who received one or more plus grades, 92% were undergraduates and 8%

were graduates

- -Of all students who received one or more minus grades, 93% were undergraduates and

7% were graduates

1. Find the probability that a student is an undergraduate student, given that the student received a plus grade.

2. Find the probability that a student is a graduate student, given that the student received a minus grade.

Two blocks of masses ?₁ = 700 ? and ?₂ = 1100 ? are connected by a cord of negligible mass and hung over a disk- shaped pulley, as shown in the figure. The pulley has a mass of

? = 1.50 ?? and a radius of ? = 14 ??, and rotates about a light- weight axle through its center. The axle itself is hung from the ceiling by two like cords of negligible mass and is held horizontally. The system is released from rest.

1. Draw a free-body diagram for each of the blocks and the pulley separately. (??)
2. Find the magnitude of the acceleration of the blocks. (??)
3. Find the magnitude of the angular acceleration of the pulley. (??)
4. Find the magnitude of tensions in the cords, ?₁, ?₂, and ?₃. (See the figure.) (??)