Quadratic Model A certain 12-volt car battery has a resistance of 0.04 ohms. Due to this fact the available battery power to start the car is modeled by the functionLaTeX: P\left(I\right)=16I-0.04I^2,P ( I ) = 16 I − 0.04 I 2 ,where the power, P, is measured in watts and the electric current I is measured in amperes.

(a) What are the zeros of the function?

(b) What current is needed to create 1599 watts of power to start the car?

(c) Find the line of symmetry of this function.

Four individuals pool money together to start a new business and agree to split the profits equally. n invests $6,000, x invests $2,000, y invests $8,000 and z invests $4,000. if the profits for the first month were $100,000, y receives than if the profits were divided in proportion to how much they invested.

Match each whole number with a rational, exponential expression 3 square root 27^2find the domain and range of the exponential function h(x)=125^x. explain your findings. as x decreases does h increase or decrease? explain. as x increases does h increase or decrease? explain.

(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.)