John Carter is standing on a low hill on Mars and he throws a spear at an oncoming enemy tribesman. The tribesman is on the level plain 53 feet below him. The spear follows the function H(t)=-6.1t2+42.7t+53. How many seconds after he releases the spear does it start to descend towards its target? (i. e. when does it reach its highest point?)

The revenue generated by a bakery over x months, in thousands of dollars, is given by the function f(x) = 2(1.2)* the cost of running the bakery forx months, in thousands of dollars, is given by the function g(x) = 2x + 1.4determine the equation for h if h(x) = f(x) - g(x).oa. m(x) = (1-2)*-x-07b.(x) = 2(1 2 - 2x -0.7)h(x) = -2((1.2) + x + 0.7)d.h(x) = 2((12) - x-0.7)

Solve the equation using the zero-product property. -3n(7n - 5) = 0 a. 0, -5/7 b. -1/3, -5/7 c. -1/3, 5/7 d. 0, 5/7

Find the rate at which the water is now flowing from the tap give your answer cubic centimetres per second