Solve the problem.There are 1000 meters in 1 kilometer. Find a conversion factor between cubic meters and cubic kilometers. Write it in three forms.

A. 1 km2 = (1000 m)2 = 1,000 m2
B. 1 km3 = (1000 m)3 = 1,000,000,000 m3
C. 1 m3 = (1000 km)3 = 1,000,000 km3
D. 1 km3 = (1000 m)3 = 100,000 m3


Answer: B

Mathematics

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Write the contrapositive of the statement. Then use the contrapositive to determine whether to conditional statement is true or false.If a line does not intersect a circle in more than one point; then the line is tangent to the circle.

A. If a line is not tangent to a circle, then the line intersects the circle in more than one point. true B. If a line is tangent to a circle, then the line intersects the circle in more than one point. false C. If a line is not tangent to a circle, then the line intersects the circle in more than one point. false D. If a line is tangent to a circle, then the line does not intersect the circle in more than one point. true

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   .
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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

Expand.3

A.  -  +  - 8 y3
B.  -  -  - 8 y3
C.  -  +  - 8 y3
D.  +  +  + 8 y3

Mathematics

Simplify the expression. Write your answer without negative exponents. Whenever an exponent is negative or zero, assume that the base is not zero.y ? y11

A. y12 B. 2y12 C. 2y11 D. y11

Mathematics