Spheres of charge: Two concentric spheres are shown in the figure. The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface. The outer sphere is a conducting shell that carries a net charge of -8.00 µC. No other charges are present. The radii shown in the figure have the values R1 = 10.0 cm, R2 = 20.0 cm, and R3 = 30.0 cm. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)(a) Find the total excess charge on the inner and outer surfaces of the conducting sphere.(b) Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: (i) r = 9.5 cm, (ii) r = 15.0 cm, (iii) r = 27.0 cm, (iv) r = 35.0 cm.

Researchers are investigating whether exposure to violent video games is increases aggressive behavior.  However, they fail to control for prior history of aggressive behavior.  In this study, prior history of aggressive behavior is a(n) ___________.

A bag contains 3 red balls, 5 blue balls, and 2 green balls. What is the probability of drawing two green balls in a row (assuming you do NOT replace the first ball before drawing the second)?

In a study on student satisfaction at a university, the researcher randomly selects 10 students from each of the 5 academic departments (e.g., Engineering, Arts, Sciences). This type of sampling is known as:

A researcher claims that 75% of all students in a school district prefer online learning. The 75% value is based on a survey of 200 students. Which of the following is true about this 75%?

Coulomb’s law: In the figure, a small spherical insulator of mass 6.00 × 10-2 kg and charge +0.400 μC is hung by a thin wire of negligible mass. A charge of -0.220 μC is held 0.290 m away from the sphere and directly to the right of it, so the wire makes an angle θ with the vertical, as shown. What is the angle θ? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Two events A and B are described as follows:Event A: It rains today.Event B: It does not rain today.Which of the following best describes the relationship between events A and B?

Find the square root if it is a real number, or state that the expression is not a real number. If not real, enter DNE. a.    = [eight] b. 

Must show work on scrap paper.  Label the question number. Simplify the radical expression. Assume that all variables represent positive real numbers. Equation editor found above the answer box under

Simplify the following expression.   Write the exact value using positive exponents and the approximation to 4 decimal places. 9-3/2 Exact value: [iugig] (Hint: answer is a fraction) Approximation to 3 decimal places: [app]