Solve the equation. Use natural logarithms. When appropriate, give solutions to three decimal places unless otherwise indicated.eln(6 - x) = eln(3 + 4x)

A.
B.
C.
D.


Answer: D

Mathematics

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Write the Hindu-Arabic numeral for the given Babylonian numeral.

A. 651 B. 4010 C. 351 D. 411

Mathematics

Newton's law of cooling states that the rate at which the temperature of an object changes is directly proportional to the difference in temperature between the object and that of the surrounding medium. A cup of coffee is prepared with boiling water (212 °F) and left to cool on the counter in a room where the temperature is 70 °F. If the temperature of the coffee is 120 °F after 1 min, determine when the coffee will be cool enough to drink (say, 111 °F). ? Round the answer to the nearest tenth, if necessary. ? t = __________ min

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

Mathematics

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.y = -x + 5(0, ), ( , 0), (1, )

A. (0, 5), (-5, 0), (1, 6)

B. (0, -5), (5, 0), (1, -4)

C. (0, -5), (-5, 0), (1, -6)

D. (0, 5), (5, 0), (1, 4)

Mathematics

Simplify the expression. If the expression contains any variables, assume that they represent positive real numbers. Write your answer with only positive exponents. -2

A.
B.
C.
D.

Mathematics