Water is released into a tank at the rate r(t) = 5 + √ t ft3/min at time t (in minutes). at time t = 1, there is 12 ft3 of water in the tank.

(a) evaluate z 6 1 r(t) dt, rounding your answer to two decimal places.

(b) in the context given above, what does the value in part (a) tell us?

Four equations are shown below. equation 1: y=2*equation 2: y=2x-5equation 3: y=x2 + 6equation 4: tdentify one linear equation and one nonlinear equation from the list. why each equation you identified is linear or nonlinear. nd one nonlinear equation from the list. state a reasonlinear equation

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?

Compute the standard deviation of the following set of data to the nearest whole number. 10, 10, 15, 20, 25