Solve the equation. Use natural logarithms. When appropriate, give solutions to three decimal places unless otherwise indicated.e-0.449x = 12
A. {1.116}
B. {2.485}
C. {-0.181}
D. {-5.534}
Answer: D
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Solve the problem.Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 136 g protein, 125 g fat, and 174 g carbohydrate. According to the health conscious hostess, the marinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of each snack can he eat to obtain his goal?
A. 3 mushrooms, 9 meatballs, 5 eggs B. 9 mushrooms, 5 meatballs, 3 eggs C. 10 mushrooms, 6 meatballs, 4 eggs D. 5 mushrooms, 3 meatballs, 9 eggs
Express the number in scientific notation.3196
A. 3.196 x 10-3 B. 3.196 x 101 C. 3.196 x 104 D. 3.196 x 103
Express the number in scientific notation.0.000315
A. 3.15 × 10-3 B. 3.15 × 104 C. 3.15 × 10-4 D. 3.15 × 10-5
Find the vertex, focus, and directrix of the parabola with the given equation.(y + 1)2 = 16(x + 2)
A. vertex: (2, 1) focus: (6, 1) directrix: x = -2 B. vertex: (-2, -1) focus: (2, -1) directrix: x = -6 C. vertex: (-2, -1) focus: (-6, -1) directrix: x = 2 D. vertex: (-1, -2) focus: (3, -2) directrix: x = -5