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astraxan
4 days ago
10

18. Manufacturers often package products in a way that uses the least amount of material One measure of the efficiency of a pack

age is the ratio of its surface area to its volume. The smaller the ratio, the more efficient the packaging. A company makes a cylindrical can to hold popcorn. The company is designing a new can with the same height h and twice the radius r of the old can. a. Write an expression for the efficiency ratio where S is the surface area of the can and Vis the volume of the can. b. Find the efficiency ratio for each can. c. Did the company make a good decision by creating the new can? Explain
Mathematics
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Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,2)! Help please
AnnZ [12381]

As you may realize, the equation y=-7/4x-2 is already formatted in slope-intercept form, which means that its slope is represented by the "x" coefficient, that is, -7/4.

Lines that are parallel share identical slopes, therefore a line parallel to this would also maintain a slope of -7/4, which would go through the point (4,2),

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad \qquad \qquad slope = m\implies -\cfrac{7}{4} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-\cfrac{7}{4}(x-4) \\\\\\ y-2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9

6 0
2 months ago
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