The major axis of an ellipse is horizontal, and the vertices of the major axis are and .  The minor axis is vertical, and the vertices of the minor axis are and . Write the equation in standard form.

A.
B.
C.
D.
E. None of these


Answer: E

Mathematics

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Identify the equation as either an identity or not. = 2 cos 2x

A. Not an identity B. Identity

Mathematics

In order to determine the effects of a new high carbohydrate diet intended to treat depression, a researcher conducts a study. Five hundred inmates in the Middletown prison are selected to participate in the study. The researcher puts the 400 inmates not in solitary confinement on the new diet. The 100 inmates in solitary confinement are given their regular meals. The 400 inmates on the new diet are not aware that they being studied or that their diet has been modified, but have many fewer reported cases of depression after 30 days.Which of the following is not true?

A. This is a clinical study. B. This is a controlled experiment. C. The control group consists of 100 inmates. D. This is a randomized controlled experiment. E. All of these statements are true.

Mathematics

Evaluate the 2 × 2 determinant.

A. 68 B. -34 C. 44 D. -44

Mathematics

Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.Find sin A when a = 8 and b = 7.

A.
B.
C.
D.

Mathematics