Lisa is standing on a dock beside a lake. she drops a rock from her hand into the lake. after the rock hits the surface of the lake, the rock's distance from the lake's surface changes at a rate of −6 inches per second. if lisa holds her hand 4 feet above the lake's surface, how far from lisa's hand is the rock 6 seconds after it hits the surface?

Define multiplicative inverse. give an example of a number and its multiplicative inverse.

Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m? -15m = -4m -7m - 8 = m - 4 -3m - 8 = 4 - m m - 4 = -7m - 8 -8 - 7m = -4 + m -8 - 3m = 4 - m

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.