Evaluate the expression. All numbers are approximate. State your answer with the proper accuracy and precision.7 + (-4)3 - (-4)9
A. -262,073
B. 300,000
C. -262,201
D. 262,087
Answer: B
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Find the equation for the level surface of the function through the given point.f(x, y, z) = e(x2 + y2 - z), (5, 2, 10)
A. x2 + y2 - z = e19 B. ln(x2 + y2 - z) = 19 C. x2 + y2 - z = ln(19) D. e(x2 + y2 - z) = ln(19)
Find the standard divisor for the given situation. Round your answer to two decimals.A university has 25 scholarships to be apportioned among the engineering students based on the enrollment in each department. There are three departments - Mechanical Engineering (M), Electrical Engineering (E), and Civil Engineering (C). The number of students in each department is given in the following table.
A. 27.32 B. 29.72 C. 28.44 D. 31.88
Find the foci and endpoints of each axis for the given ellipse.9x2 + 16y2 = 144
A. Foci: (±, 0); vertices: (± 4, 0);
endpoints of the minor axis: (0, ± 3)
B. Foci: (± 7, 0); vertices: (± 16, 0);
endpoints of the minor axis: (0, ± 9)
C. Foci: (± 4, 0); vertices: (±, 0);
endpoints of the minor axis: (± 3, 0)
D. Foci: (0, ±); vertices: (0 , ± 4);
endpoints of the minor axis: (± 3, 0)
Solve the problem.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 3 m down from the top of the dome the ceiling is 16 m wide, find the best location for the light source.
A. 21.3 m down from the top B. 10.6 m down from the top C. 5.3 m down from the top D. 15.9 m down from the top