Find the value of ccc so that the polynomial p(x)p(x)p, left parenthesis, x, right parenthesis is divisible by (x+2)(x+2)left parenthesis, x, plus, 2, right parenthesis. p(x) = 4x^3+cx^2+x+2p(x)=4x 3 +cx 2 +x+2p, left parenthesis, x, right parenthesis, equals, 4, x, cubed, plus, c, x, squared, plus, x, plus, 2 c=c=c, equals

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. which method should jeremy use?