Solve the problem.A certain radioactive isotope has a half-life of approximately 1450 years. How many years, to the nearest whole number, would be required for a given amount of this isotope to decay to 35% of that amount?
A. 901 years
B. 942.5 years
C. 2196 years
D. 2161 years
Answer: C
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Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value.f(x) = 4x2 + 64x + 251
A. minimum at (-8, -5) B. maximum at (-5, -8) C. maximum at (-5, 0) D. minimum at (-8, 0)
Solve the triangle.b = 4, c = 5, A = 75°
A. a = 5.54, B = 44.2°, C = 60.8° B. a = 6.54, B = 44.2°, C = 60.8° C. a = 4.54, B = 60.8°, C = 44.2° D. a = 5.54, B = 60.8°, C = 44.2°
In the table, Y1 is defined as a quadratic function. Use the table to do the following: a. Determine the coordinates of the vertex of the graph. b. Determine whether the vertex is a minimum point or a maximum point. c. Find the minimum or maximum value of the function. d. Determine the range of the function.
A. a. (-2.5, -5); b. minimum; c. -2.5; d. [-2.5, ?) B. a. (-2.5, -5); b. maximum; c. -2.5; d. (-?, -2.5] C. a. (-2.5, -5); b. maximum; c. -5; d. (-?, -5] D. a. (-2.5, -5); b. minimum; c. -5; d. [-5, ?)
Use the product rule to find the derivative. f(x) = (3x - 2)(4x3 - x2 + 1)
A. f'(x) = 48x3 - 11x2 + 33x + 3 B. f'(x) = 36x3 + 33x2 - 11x + 3 C. f'(x) = 48x3 - 33x2 + 4x + 3 D. f'(x) = 12x3 + 11x2 - 33x + 3