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Note: Figure not drawn to scale When designing a multi-tiered wedding cake, a certain baker uses a tier-edge formula w + 3h = 22, where h is the tier height in inches, and w is the edge width, in inches. For most tiered wedding cakes, the tier heights and edge widths are the same for all tiers of the cake. The number of tiers in a tiered wedding cake is the number of layers of cake that are stacked. For example, there are 4 tiers of the cake in the figure above. The total height of a wedding cake is the sum of the tier heights as shown in the figure. Which of the following equations expresses the tier height in terms of the edge width? A) h = (1)/(3)(22 + w) B) h = (1)/(3)(22 - w) C) h = -(1)/(3)(22 + w) D) h = -(1)/(3)(22 - w)

Note: Figure not drawn to scale\newlineWhen designing a multi-tiered wedding cake, a certain baker uses a tier-edge formula w+3h=22 w+3 h=22 , where h h is the tier height in inches, and w w is the edge width, in inches. For most tiered wedding cakes, the tier heights and edge widths are the same for all tiers of the cake. The number of tiers in a tiered wedding cake is the number of layers of cake that are stacked. For example, there are 44 tiers of the cake in the figure above. The total height of a wedding cake is the sum of the tier heights as shown in the figure. Which of the following equations expresses the tier height in terms of the edge width?\newlineA) h=13(22+w) h=\frac{1}{3}(22+w) \newlineB) h=13(22−w) h=\frac{1}{3}(22-w) \newlineC) h=−13(22+w) h=-\frac{1}{3}(22+w) \newlineD) h=−13(22−w) h=-\frac{1}{3}(22-w)

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The population of a town grows at a rate of r(t) r(t) people per year (where t t is time in years). At t=3 t=3 , the town's population was 10001000 people.\newlineWhat does 1000+∫38r(t)dt=1500 1000+\int_{3}^{8} r(t) d t=1500 mean?\newlineChoose 11 answer:\newline(A) The town's population grew by 15001500 people between t=3 t=3 and t=8 t=8 .\newline(B) The town's population grew at a rate of 15001500 people per year at t=8 t=8 .\newline(C) The average rate at which the population grew between t=3 t=3 and t=8 t=8 is 15001500 people per year.\newline(D) At t=8 t=8 , the town's population was 15001500 people.
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