Solve the problem.Halley's comet has an elliptical orbit with the sun at one focus. Its orbit shown below is given approximately by  In the formula, r is measured in astronomical units. (One astronomical unit is the average distance from Earth to the sun, approximately 93 million miles.)  Find the distance from Halley's comet to the sun at its greatest distance from the sun. Round to the nearest hundredth of an astronomical unit and the nearest million miles.

A. 1298.75 astronomical units; 120,784 million miles
B. 10.47 astronomical units; 974 million miles
C. 5.24 astronomical units; 487 million miles
D. 5.22 astronomical units; 485 million miles


Answer: A

Mathematics

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Solve the problem.A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 200 feet and a maximum height of 30 feet. Find the height of the arch at 15 feet from its center.

A. 25 ft B. 2.7 ft C. 0.2 ft D. 29.3 ft

Mathematics

Sketch the graph of y1 as a solid line or curve. Then sketch the graph of y2 as a dashed line or curve by one or more of these: a vertical and/or horizontal shift of the graph y1, a vertical stretch or shrink of the graph of y1, or a reflection of the graph of y1 across an axis.y1 = x2; y2 = x2 - 6

A.

B.

C.

D.

Mathematics

Write a word name for the number in the sentence.When Sam joined his software company, their stock sold for $37.23 per share.

A. Thirty-seven and twenty-three thousandths B. Thirty-seven and twenty-three hundredths C. Thirty-seven and twenty-three millionths D. Thirty-seven and twenty-three tenths

Mathematics

Solve the problem.A baseball team has played 8 games so far this season. The team won 6 games. What fraction of its games has the team won? Simplify.

A.
B.
C.
D.

Mathematics