A sheet of aluminum (density=2.60 g/cm3) has dimensions of 4.75 mm * 1.80 x 2.48ft. Calculate its mass in pounds, also show all necessary unit conversions.

Consider a water tank that is being filled with rainfall at the top and is drained through a small hole atthe bottom. The change in volume can be modelled by considering the amount of water entering andleaving the tank (per unit of time) as followsdVdt= fin − fout.Here volume of water in the tank V is in litres, flow rate in fin is in litres per hour, flow rate out fout isin litres per hour and time t is in hours. Initially, the tank contains 50L of water: V (0) = 50.(a) Assume the rainfall throughout the day is getting heavier, such that, fin(t) = 10 + t andthat the tank is losing 10% of its volume of water per hour, such that, fout(V ) = 0.1V . Check bydirect substitution that the functionV (t) = 10(t + 5e−0.1t)satisfies the ODE and the initial condition.Now assume that the hole is slowly growing in size, so that the flow rate out increaseswith time:fout(V, t) = 0.1(1 + 0.1t)V.Solve the ordinary differential equation for V (t) with this flow rate out, using either separation…

vf

You will be using these rules in your calculations. As an example of a sample calculation, find the volume of a rectangular solid: V = Lx W x H V = (25.95 cm)(5.87 cm)(83 cm) V = 13000 cm³ = 1.3 x 10“ cm3 Note that when you do this calculation in your calculator, you will have an answer of 12643.0995. However, the 83 cm limits your answer to 2 significant figures, so you must round the final answer to 2 significant figures. Remember you need to keep the place value of the significant figures! The scientific notation helps clarify that none of the zeros are significant.

The mass of an object was measured eight times on a balance readable to +1 g, and the followng values were recorded: (298 + 1)g. (311 + 1)g. (302 + 1)g, (312 + 1)g, (313 + 1)g, (317 + 1)g, (302 + 1)g, and (331 + 1)g. Find the final measurement ± m Select one: O a (310.75 + 4) g O b. (311 ±3.71) g O C. (311 +4) g O d. (310.75 +3.712) g