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Find a Power Function That Models the Data in the Table

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Find a power function that models the data in the table. Round to three decimal places if necessary.
-The height of an object dropped from a tall building is given by the table, where t is the elapsed time in seconds and h is the height in feet. t012345h750734686606494350 If the height is modeled by h(t) =h016t2, find h0\begin{array}{l}\begin{array} { r | r r r r r r } \mathrm { t } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm { h } & 750 & 734 & 686 & 606 & 494 & 350\end{array}\\\text { If the height is modeled by } h ( t ) = h _ { 0 } - 16 t ^ { 2 } \text {, find } h _ { 0 } \text {. }\end{array}


Definitions:

Physical Flow

The actual movement of goods or materials through a manufacturing process, from receipt of raw materials to delivery of finished products.

Weighted Average Method

An inventory valuation method that applies a weighted average cost to the goods available for sale, to calculate cost of goods sold and ending inventory.

Responsibility Centre

A management accounting tool in which parts of an organization are allocated responsibility for controlling costs, revenues, or investments.

Control Purposes

Activities or measures implemented to ensure that operations are conducted as planned and resources are used efficiently.

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