The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units, then what is the value of k?

Question:

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units, then what is the value of k?

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A liquid of density 1136 kg/m3 flows with speed 1.06 m/s into a pipe of diameter 0.26 m . The diameter of the pipe decreases to 0.05 m at its exit end. The exit end of the pipe is 4.25 m lower than the entrance of the pipe, and the pressure at the exit of the pipe is 1.2 atm . P1 1.06 m/s 0.26 m P2 ...

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