Acity known for its temperature extremes started the day -5 degrees f. the temperature increased by 78 degrees f by midday, and then dropped 32 degrees f by nightfall. what is the final temperature at nightfall?

Which shows the image of rectangle abcd after the rotation (x, y) → (–y, x)?

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

Answer asap! show all work! find the number of complex roots, the possible number of real roots and the possible rational roots of the polynomial function. then, solve for all roots. x^3 + 2x^2 + 3x + 6 = 0