Solve the problem.If f(w) = 6 and g(w) = -3 + 3, find any w for which f(w) = g(w).

A. 3
B. 1
C. -3
D. 8


Answer: B

Mathematics

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Provide an appropriate response.If one step in the solution of an equation is 93 = 78, what is the final solution of the equation?

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Solve the problem.Newton's Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. Suppose that a coffee is served at a temperature of 150°F and placed in a room whose temperature is 70°F. The temperature ? (in °F) of the coffee at time t (in minutes) can be modeled by ?(t) = 70 + 80e-0.06t. When will the temperature be 105°F?

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Solve the problem.An electrician has to choose different types of wire for different applications. The size of the diameter of the wire is inversely related to the gauge of the wire. The chart below shows some different gauges of wire and their approximate diameters. Use the chart to answer the question. Write the diameter of 16 gauge wire in words and as a fraction.

A. Thirty-two ten-thousandths inch;   = 
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Mathematics

Write the standard form of the equation of the circle described.Center (-5, 0), r = 7

A. (x + 5)2 + y2 = 49 B. x2 + (y - 5)2 = 7 C. x2 + (y + 5)2 = 7 D. (x - 5)2 + y2 = 49

Mathematics