Add the real numbers. Write any improper fraction as a whole or mixed number where appropriate.5.8 + (-9.1)

A. -14.9
B. -3.3
C. 14.9
D. 3.3


Answer: B

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = i  + j + 4tk

A. T = (cos 0.375t)i  - (sin 0.375t)j + k ; N = (-sin 0.375t)i - (cos 0.375t)j 
B. T = (cos 0.375t)i  - (sin 0.375t)j + k ; N = (-sin 0.375t)i - (cos 0.375t)j
C. T = (sin 0.375t)i  - (cos 0.375t)j ; N = (-sin 0.375t)i - (cos 0.375t)j
D. T = (cos 0.375t)i  - (sin 0.375t)j ; N = (-sin 0.375t)i - (cos 0.375t)j 

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Find the distance (correct to two decimal places) between the given parallel planes.

Mathematics

Use a calculator and the change-of-base formula to find the logarithm. ? ? Please give the answer to two decimal places.

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

Mathematics

Rationalize the denominator. Assume that all variables represent positive real numbers and that the denominator is not zero.

A.
B.
C.
D.

Mathematics