How far apart should two protons be if the electrical force of repulsion on each one is equal to its weight on the earth? ( k = 1/4πε 0 = 9.0 × 10 9 N ∙ m 2/C 2, e = 1.6 × 10^ -19 C, m proton = 1.67 × 10^ -27 kg)

Which of the following is the phase that results when the moon is on the opposite side of the earth from the sun? a. quarter moon b. crescent moon c. new moon d. full moon

Select the correct answer. what does the process of natural selection involve?

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit