Solve the problem.How many lines are determined by 17 points, if no 3 of them are collinear?
A. 136
B. 272
C. 17
D. 2040
Answer: A
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Find T, N, and B for the given space curve.r(t) = (8t sin t + 8cos t)i + (8t cos t - 8 sin t)j - 6k
A. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j; B = -k B. T = (-cos t)i - (sin t)j; N = sin(t)i - (cos t)j; B = 6k C. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j; B = k D. T = (-cos t)i + (sin t)j; N = (sin t)i + (cos t)j; B = -k
Write the sample space for the experiment. Students choose two types of music from among rock, jazz, hip hop, reggae, and country.
A. S = {(rock, jazz), (rock, hip hop), (rock, reggae), (rock, country), (jazz, rock), (jazz, hip hop), 
(jazz, country), (hip hop, rock), (hip hop, jazz), (hip hop, reggae), (hip hop, country), (reggae, rock), (reggae, jazz), (reggae, hip hop), (reggae, country), (country, rock), (country, jazz), (country, hip hop), (country, reggae)}
B. S = {(rock, jazz), (rock, hip hop), (rock, reggae), (rock, country), (jazz, hip hop), (jazz, reggae), 
(hip hop, reggae), (hip hop, country), (reggae, country)}
C. S = {rock, jazz, hip hop, reggae, country}
D. S = {(rock, jazz), (rock, hip hop), (rock, reggae), (jazz, hip hop), (jazz, reggae), (jazz, country), 
(reggae, country)}
Determine what the next equation would be, and verify that it is indeed a true statement.(3 × 1) × (2 × 1) = 6(3 × 10) × (2 × 2) = 120(3 × 100) × (2 × 3) = 1800
A. (3 × 1000) × (2 × 4) = 21,000 B. (3 × 1000) × (2 × 4) = 24,000 C. (3 × 1000) × (2 × 4) = 27,000 D. (3 × 1000) × (2 × 4) = 2400
Determine whether the statement is true or false.cos 30° + cos 45° = cos 75°
A. True B. False