Solve the equation by expressing each side as a power of the same base and then equating exponents.243x = 27

A. {3}
B.
C.
D.


Answer: B

Mathematics

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Evaluate the surface integral of the function g over the surface S.G(x,y,z) = x2 + y2 + z2; S is the surface of the cube formed from the coordinate planes and the planes   and 

A. 135 B. 189 C. 567 D. 405

Mathematics

Evaluate the exponential expression.-32

A. -27 B. 9 C. -9 D. 27

Mathematics

If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.729-1/3

A. 9
B.
C.
D. -9

Mathematics

From a point on the floor the angle of elevation to the top of a door is 48º, while the angle of elevation to the ceiling above the door is 62º. If the ceiling is 12 feet above the floor, what is the vertical dimension of the door (see the figure)? Apply the rules regarding the use of significant digits when determining your answer. ? ? Vertical dimension of door = __________ ft

Fill in the blank(s) with the appropriate word(s).

Mathematics