Write an inequality that satisfies the description.Outside the circle with radius 5 and center (0, 0)
A. x2 + y2 > 25
B. x2 - y2 > 25
C. x2 + y2 < 25
D. x2 + y2 < 5
Answer: A
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Use the graph of the quadratic function to find the vertex, axis of symmetry, x- and y-intercepts, and domain and range.
A. vertex: (-2, -9) axis of symmetry: x = -2 x-intercepts: 1 and - 5 y-intercept: -5 domain: [-9, ?) range: (-?, ?) B. vertex: (-2, -9) axis of symmetry: x = -9 x-intercepts: 1 and - 5 y-intercept: -5 domain: (-?, ?) range: (-9, ?) C. vertex: (-9, -2) axis of symmetry: x = -9 x-intercept: -5 y-intercepts: 1 and - 5 domain: (-?, ?) range: [-2, ?) D. vertex: (-2, -9) axis of symmetry: x = -2 x-intercepts: 1 and - 5 y-intercept: -5 domain: (-?, ?) range: [-9, ?)
Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75 B. $2.00 C. -$3.00 D. $3.00
Perform the following operation and write the result in lowest terms. 39 - 17
A. 22
B. 22
C. 21
D. 21
Solve the problem.In the formula L = L0, L0 is the length of an object in a spaceship moving at velocity v and c is the velocity of light. A spaceship passes you at a speed of 0.50c. You measure its length to be 1000 m. What is its length at rest? Round your answer to the nearest hundredth of a meter if necessary.
A. 866.03 m B. 500 m C. 1118.03 m D. 707.11 m