Solve the problem using the quadratic formula.When water runs out of a hole in a cylindrical container, the height of the water in the container can often be modeled by a quadratic function. Assume that the height of the water in a particular metal can with a small hole can be modeled by h = 0.0003x2 - 0.16x + 8, where x is the time (sec) and h is the height (cm). Use the quadratic formula to estimate the time when the height is 2 cm. Round your answer to the nearest second.
A. 48 sec
B. 47 sec
C. 45 sec
D. 41 sec
Answer: D
Mathematics
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Simplify.2 +
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Mathematics
Perform the indicated operation. Express the solution in scientific notation.
A. 109 B. 330 × 10-9 C. 10-9 D. 10-8
Mathematics
Solve the inequality and express the solution in set-builder notation and interval notation. Graph the solution set on a real number line.36x + 12 > 6(5x + 4)
A. {x|x ? 2}; [2, ?)
B. {x|x > 2}; (2, ?)
C. {x|x < 2}; (-?, 2)
D. {x|x ? 2}; (-?, 2]
Mathematics
Complete the identity.1 - cos(2?) + cos(4?) - cos(6?) = ?
A. 4 sin ? sin(2?) sin(3?) B. 4 cos ? cos(2?) cos(3?) C. 4 cos ? cos(2?) sin(3?) D. 4 sin ? cos(2?) sin(3?)
Mathematics