Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places.(0.4, -0.8) and (2.3, 2.6)
A. 3.895
B. 3.257
C. 7.324
D. 3.245
Answer: A
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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value r(t) = (6t2 - 6t)i + (t + 3)j + k ; t0 = 2
A. x = 18t, y = t, z = t B. x = 12 + 18t, y = 5 + t, z = 0 C. x = 12 + 18t, y = 5 + t, z = 1 D. x = 12 + t, y = t, z = t
Find the GCF of 40, 45, and 50.
A. 10 B. 8 C. 1 D. 5
Solve the variation problem.According to Ohm's law, the electric current I, in amperes, in a circuit varies directly as the voltage V. When 17 volts are applied, the current is 4 amperes. What is the current when 30 volts are applied?
A. 4.25 amperes B. 7.06 amperes C. 51 amperes D. 127.5 amperes
Solve the problem.The cost function for the manufacture of graphing calculators is given by where x is the number of graphing calculators manufactured. Using the appropriate domain, sketch the graph of the average cost
to manufacture x graphing calculators. Find the absolute minimum on the graph of
. What do the coordinates of the absolute minimum tell us?
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A. The absolute minimum is at (31,622.78, 31.11). This tells us that the average cost of a graphing calculator is minimized at $31.11 per calculator when approximately 31,623 are produced.
B. The absolute minimum is at (34,825.23, 29.32). This tells us that the average cost of a graphing calculator is minimized at $29.32 per calculator when approximately 34,825.23 are produced.
C. The absolute minimum is at (31,622.78, 29.32). This tells us that the average cost of a graphing calculator is minimized at per calculator when approximately 31,623 are produced.
D. There is no absolute maximum.