Select the right expression for the following sum and prove that your statement is true for all natural numbers n.
?

?

A. ?
B. ?
C. ?
D. ?
E. none of the above


Answer: C

Mathematics

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Perform the indicated operations. Express your answer in standard form.Square 6y - 2.

A. 36y2 + 24y + 4 B. 36y2 - 24y + 4 C. 36y2 + 4 D. 12y2 + 4

Mathematics

Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for the cookies is 1,000,000 1-lb containers. The setup cost for each production run is $250, and the manufacturing cost is $.20 for each container of cookies. The cost of storing each container of cookies over the year is $.80.

?
Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
?
Hint: Show that the total production cost is given by the function   .
?
Then minimize the function ?C on the interval (0, 1,000,000).
?
__________ containers of cookies per production run

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

Mathematics

Write the exponential equation as an equation involving a logarithm.2-2 = 

A. log-2 = 2
B. log2-2 = 
C. log2 = -2
D. log1/42 = -2

Mathematics

Use the graph of the inequality to find the set.A = {x|x < 2}, B = {x|x > -2}Find A ? B.

A. {x|x > -2}; (-2, ?)

B. {x|-2 < x < 2}; (-2, 2)

C. {x|x < 2}; (-?, 2)

D. {x|3 < x < 3}; (-3, 3)

Mathematics