Identify all of the symmetries in the following figure.
A. It has reflection symmetries; it can be reflected across a vertical line through its center, a horizontal line through its center, or either of its diagonals, and its appearance remains the same. It also has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its appearance remains the same.
B. It has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its appearance remains the same. It also has translation symmetry.
C. It has reflection symmetries; it can be reflected across a vertical line through its center or a horizontal line through its center, and its appearance remains the same. It also has rotation symmetry; it can be rotated through 180° and its appearance remains the same.
D. None of these.
Answer: C
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Solve the problem.A spring with a spring constant k of 18 pounds per foot is loaded with a 16-pound weight and allowed to reach equilibrium. It is then displaced 2 feet downward and released. If the weight experiences a retarding force in pounds equal to 10 times the velocity, find the equation of motion.
A. y ? e-10t(-0.250e8.000t + 2.250e-8.000t) B. y ? e-10t(2.250e8.000t + -0.250e-8.000t) C. y ? e-20t(-0.500e8.000t + 4.500e-8.000t) D. y ? e-10t(4.500e8.000t + -0.500e-8.000t)
Solve the equation and check your proposed solution.23 = -27 + a
A. -4 B. 50 C. 4 D. -50
Find the product.9(7r + 4 + 6s)
A. 63r + 4 + 54s B. 63r + 36 + 6s C. 63r + 36 + 54s D. 63r + 4 + 6s
Solve and give interval notation for the solution set. Then graph the solution set.-2 < -2x ? 6
A. (-3, 1)
B. [-3, 1]
C. [-3, 1)
D. (-1, 3]