Which statement is true for a car that first goes around a curve of radius r at a constant speed v, and then goes around the same curve at half the original speed? a. the centripetal force is twice as big the second time around. b.the centripetal force is four times as big the second time around. c.the centripetal force is one-half as big the second time around. d.the centripetal force is one-fourth as big the second time around.

Atomic nuclei of almost all elements consist of

You are doing a science experiment with a fahrenheit thermometer. your data must be in degrees celsius. if you measure a temperature of 125°f, what is this temperature in degrees celsius

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