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[-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER SCalcET9 3.8.002. A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 40 cells. (a) Find the relative growth rate. $k = \text{_______} \text{ hr}^{-1}$ (b) Find an expression for the number of cells after $t$ hours. $P(t) = \text{_______}$ (c) Find the number of cells after 2 hours. $\text{_______} \text{ cells}$ (d) Find the rate of growth after 2 hours. (Round your answer to the nearest integer.) $\text{_______} \text{ cells/h}$ (e) When will the population reach a million cells? (Round your answer to two decimal places.) $\text{_______} \text{ h}$ Need Help? Read It

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6. Inherited defect in ability to produce hemoglobin: B. Iron deficiency anemia D. Hemolytic anemia E. Thalassemia C. Aplastic anemia A. Pernicious anemia Question 7 (1 point)

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an open economy, suppose that the government institutes investment tax credits to encourage domestic investment. In the long-run, the equilibrium exchange rate would and the amount of net exports would • a. decrease; depreciate. • b. appreciate; appreciate. • c. decrease; appreciate. • d, appreciate; decrease.

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QUESTION 10 [8] The temperature at a point on a flat metal plate is given by $T(x,y) = -x^2 - y^2 + 3y$. Use Lagrange multipliers to find the coldest temperature on the flat metal plate x + 2y = 2

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Determine the sign of each of the following matrices then explain the shapes quadratics that they define $\begin{pmatrix} 0 & -2 & 7 \\ -2 & 0 & -6 \\ 7 & -6 & 0 \end{pmatrix}$; $B = \begin{pmatrix} 2 & 2 & -1 & 0 \\ 2 & 3 & 0 & 1 \\ -1 & 0 & 2 & 1 \\ 0 & 1 & 1 & 3 \end{pmatrix}$; $C = \begin{pmatrix} -n & 0 & 0 & \dots & 0 \\ 0 & 1-n & 0 & \dots & 0 \\ 0 & 0 & 2-n & \dots & 0 \\ 0 & 0 & 0 & \dots & (n-1)-n \\ \vdots & \vdots & \vdots & \dots & 0 \\ 0 & 0 & 0 & \dots & -n \end{pmatrix}$

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Effective Federal Funds Rate 17.5 15.0 12.5 10.0 7.5 5.0 2.5 0.0 1960 1970 1980 1990 2000 2010 1. According to the graph, what happens to the federal funds rate when there is a recession? 2. Identify a range of years when the Federal Reserve most likely sold the most government bonds. Explain your reasoning. 3. Identify a range of years when the Federal Reserve most likely used expansionary monetary policy. Explain your reasoning. 4. How does a lower federal funds rate impact output, unemployment, and price level in the short run?

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If a surface is known to be isothermal, the magnitide of the heat flux in a direction normal/perpendicular to the surface is\ Select one:\n?o.$k \frac{dT}{dx}$\ ?b. $k \nabla T$\ ? c. zero\ ? d. $\frac{k \Delta T}{L}$\ ? e. negative\ ?f. $-k \nabla T$\ Consider two 3D systems have similar (or geometically proportional) shapes but different overall sizes. For the same boundary conditions, the steady state heat flux at corresponding locations are the same.\ Select one:\n? True\ ? False\ Consider two 3D systems have similar (or geometically proportional) shapes but different overall sizes. For the same boundary conditions, the steady state heat rate for corresponding locations are the same.\ Select one:\n? True\ ? False\ A sphere of diameter 20 mm is initially at 100 °C is being cooled by a wind. One desires to determine the sphere's average temperature after 5 minutes. For which scenario would the lumped capacitance method be least valid?\nSelect one:\n? a. Lumped Capacitance is equally valid for all these scenarios\ ? b. The sphere is made of steel and the wind is strong\ ? c. The sphere is made of steel and the wind is light\ ? d. The sphere is made of wood and the wind is light\ ? e. The sphere is made of wood and the wind is strong

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4. The area of a rectangle is 18 square centimeters. If the length and width are both whole number, list all possible values for the length and width (assuming the length is the longer side). Draw each rectangle.

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Sketch the graph of the following system of linear inequalities: $x + y \le 5$ $2x + y \ge 4$ $1 \le x \le 4$, $y \ge 0$

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Find the sum of the terms in the arithmetic sequence below, Sn 9 117 13,815, 37 Sn (Simplify your answer )

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henry v.