The function y = -16t 2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. how long will it take the stone to hit the ground? round to the nearest hundredth of a second. a. 5.51 seconds b. 0.25 seconds c. 7.79 seconds d. 11.02 seconds

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

If 20% of a number is 35, what is 50% of that number?

Logan wants to know how many skateboards have defective parts. he inspects 20,000 skateboards and keeps track of the number of defects per board. use his probability distribution table to find the expected value for defects on a skateboard.