Find the vertices and foci of the given ellipse.5x2 + 10y2 = 50
A. Vertices: (10, 0) and (-10, 0);
Foci: (5, 0) and (-5, 0)
B. Vertices: (0, ) and (0, -
);
Foci: (0, ) and (0, -
)
C. Vertices: (, 0) and (-
, 0);
Foci: (, 0) and (-
, 0)
D. Vertices: (0, ) and (0, -
);
Foci: (0, ) and (0, -
)
Answer: C
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Find the mass, in grams, for the given number of molecules of a compound whose molar mass is given. Round your answer to the nearest hundredth of a gram.1.93 × 1022 molecules of calcium nitrate (Ca(NO3)2); molar mass 164.10 grams
A. 316.71 grams B. 0.03 grams C. 5.26 grams D. 1.18 grams
Solve the problem.An auditorium has 25 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?
A. 900 B. 500 C. 850 D. 550
Factor the sum or difference of two cubes.8 - 27x3
A. (2 - 3x)(4 + 6x + 9x2) B. (8 - 3x)(1 + 6x + 9x2) C. (2 - 3x)(4 + 9x2) D. (2 + 3x2)(4 - 6x + 9x2)
Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is Find the marginal revenue at
and tell what it predicts about the sale of the next
unit. Round your answer to two decimal places. ? A. 13.80. The selling of the next unit increases revenue by $13.80. B. 12.60. The selling of the next unit increases revenue by $12.60. C. -414.00. The selling of the next unit decreases revenue by $414. D. -30.00. The selling of the next unit decreases revenue by $30. E. -15.00. The selling of the next unit decreases revenue by $15.