Electric removal of COVID-19 drops. Sneezing, coughing, singing, talking, and even breathing can release water drops with COVID-19 that can transmit the virus from an infected person to someone else. The drops are charged. So, one way to filter the air in a room where this transmission might occur is to send the air and drops through an electric field where the field can remove the charged drops. Assume a drop has radius r=2.0μmr=2.0 \mu \mathrm{m} and charge (−2.5×104)e\left(-2.5 \times 10^4\right) e and it travels through a rectangular pipe of length L= 10 cmL=10 \mathrm{~cm} and height h=10 cmh=10 \mathrm{~cm} , as shown in a side view in Fig. 24.49. The sides are insulators, and the top and bottom are charged plates with a potential difference of ΔV\Delta V. The drop enters the pipe with a horizontal velocity of magnitude v=v= 9.0 cm/s9.0 \mathrm{~cm} / \mathrm{s}. What ΔV\Delta V is needed if the drop enters the pipe near the low-potential plate but is collected by the high-potential plate at the far end of the pipe?
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Susan Lewis, owner of a florist shop, is interested in predicting the cost of delivering floral arrangements. She collected monthly data on the number of deliveries and the total monthly delivery cost (depreciation on the van, wages of the driver, and fuel) for the past year. $$ \begin{array}{lcc} \text{ Month } & \text{ Number of Deliveries } & \text{ Delivery Cost } \\ \hline \text{ January } & 100 & \$ 1,200 \\ \text{ February } & 550 & 1,800 \\ \text{ March } & 85 & 1,100 \\ \text{ April } & 115 & 1,050 \\ \text{ May } & 160 & 1,190 \\ \text{ June } & 590 & 1,980 \\ \text{ July } & 500 & 1,800 \\ \text{ August } & 520 & 1,700 \\ \text{ September } & 100 & 1,100 \\ \text{ October } & 200 & 1,275 \\ \text{ November } & 260 & 1,400 \\ \text{ December } & 450 & 2,200 \end{array} $$ Required: 1. Using a computer spreadsheet program such as Excel, run a regression on these data. Print out your results. 2. Using your results from Requirement $1$, write the cost formula for delivery cost. (Note: Round the fixed cost to the nearest dollar and the variable rate to the nearest cent.) 3. **CONCEPTUAL CONNECTION** What is $\mathrm{R}^2$ based on your results? Do you think that the number of direct labor hours is a good predictor of delivery cost? 4. Using the cost formula in Requirement $2$, what would predicted delivery cost be for a month with $300$ deliveries?
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