Simplify the expression. Assume the letters denote any real numbers.


Mathematics

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Determine the total turn for the closed curve. Assign a positive measure to counterclockwise turning.

A. -360° B. 720° C. 360° D. 0°

Mathematics

Find the equation of a circle satisfying the given conditions.Center: (0, -2); radius: 

A. (x - 2)2 + y2 = 4 B. (x + 2)2 + y2 = 4 C. x2 + (y + 2)2 = 2 D. x2 + (y - 2)2 = 2

Mathematics

On the Richter scale, the magnitude R of an earthquake is given by the formula  where I is the intensity of the earthquake being measured and I0 is the standard reference intensity.

?  What is the magnitude of an earthquake that has intensity 10 millions times that of I0? ?  R = __________ ?  Suppose an earthquake is measured with a magnitude of 5 on the Richter scale with an error of at most 2%. Use differentials to find the error in the intensity of the earthquake. ?  Hint: Observe that  and use logarithmic differentiation. Round your answer to the nearest integer. ? __________I0 What will be an ideal response?

Mathematics

Factor out the largest possible common factor.32p + 8q - 8

A. 8p(4 + q - 1) B. No common factor C. 8(4p + q) D. 8(4p + q - 1)

Mathematics