Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x – x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.
A. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.5); f(x) = 2x2 – 2x – 1

B. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.5); f(x) = –2x2 + 2x – 1

C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.5); f(x) = –2x2 – 2x – 1

D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.5); f(x) = –2x2 + 2x – 1

Very large accelerations can injure the body, especially if they last for a considerable length of time. one model used to gauge the likelihood of injury is the severity index ( ), defined as =/ . in the expression, is the duration of the accleration, but is not equal to the acceleration. rather, is a dimensionless constant that = the number of multiples of that the acceleration is equal to.in one set of studies of rear-end collisions, a person's velocity increases by 13.7 km/h with an acceleration of 36.0 m/s2 . let the + direction point in the direction the car is traveling. what is the severity index for the collision?

The law of the conservation of momentum says that the total momentum of any closed and isolated system cannot

Select for each of the following statements whether it is correct or incorrect. (a) in an isothermal expansion of an ideal gas. (b) the temperature remains constant. (b) the pressure remains constant. (c) there is work done by the gas. (d) there is heat added to the gas. (e) the change in internal energy equals zero.