Find the indicated cross product.v = 3i - 2j + 2k, w = -2i - 5j + 3kFind w × v.
A. -4i + 13j + 19k
B. -11i + 12j + 16k
C. 19i + 4j - 4k
D. -13i + 4j + 19k
Answer: A
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Determine whether the argument is valid or invalid.If the pond contains algae, then the pond does not contain trout.If the pond does not contain algae and does not contain trout, then the pond does not contain frogs.The pond contains algae. Therefore, the pond contains frogs.
A. Invalid B. Valid
Evaluate the given binomial coefficient.
A. 504 B. 126 C. 30,240 D. 252
Identify and graph the conic section. Label the center and/or vertex as appropriate.y = -4(x + 1)2 + 3
A. parabola; vertex (-1, 3)
B. parabola; vertex (1, 3)
C. parabola; vertex (-1, 3)
D. parabola; vertex (-1, 3)
Solve the problem.How long will it take for the population of a certain country to triple if its annual growth rate is 1.6%? Use the exponential growth model Round to the nearest year.
A. 69 yr B. 1 yr C. 188 yr D. 30 yr