Solve the problem.A machinist has flat metal plate that is 7.265 cm thick. He laminates the metal plate with four more layers that are 4.140 cm, 1.620 cm, 3.767 cm, and 4.924 cm thick. He then grinds off 4.241 cm from the top of the plate, then 2.177 cm more, and finally another 3.048 cm. Find the new thickness of the plate.
A. 25.086 cm
B. 16.491 cm
C. 2.280 cm
D. 12.250 cm
Answer: D
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Solve.The number of farms in a certain state has declined continually since 1950. In 1950, there were 84,461 farms and in 1995 that number had decreased to 23,496. Assuming the number of farms decreased according to the exponential model, find the value of k and write an exponential function that describes the number of farms after time t, in years, where t is the number of years since 1950.
A. k = -0.027 ; P(t) = P0e-0.027t B. k = -0.032 ; P(t) = P0e-0.032t C. k = -0.030 ; P(t) = P0e-0.030t D. k = -0.028 ; P(t) = P0e-0.028t
Determine whether the statements are logically equivalent.~(p ? ~q) ? ~(p ? q), p ? (p ? q)
A. Not equivalent B. Equivalent
Translate into an equation and solve.A number divided by -0.0017 is 6.2.
A. 0.1054 B. -0.01054 C. 0.0001054 D. -0.001054
Provide an appropriate response.If g(x) = 
, find:(a)the domain(b)g(0)(c)g(-4)(d)g
(e)g(x2)
What will be an ideal response?