Numerade

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The function $P(t) = 4.4e^{0.15t}$ takes t, days since an algal culture was prepared, and gives A, area covered by the culture (in square centimeters). Determine the derivative $P'(t)$ and then use it to calculate $P'(7)$, which gives the rate of growth of the culture on day 7 (in square centimeters per day). Your answer needs to be accurate to two decimal places. Answer

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The drawing shows four sheets of polarizing material, each with its transmission axis oriented differently. Light that is polarized in the vertical direction is incident from the left and has an average intensity of 27 W/m². Determine the average intensity of the light that emerges on the right in the drawing when sheet A alone is removed, when sheet B alone is removed, when sheet C alone is removed, and when sheet D alone is removed. $S = S_o \cos^2(\theta)$ A removed $S = S_o \cos^2(\theta_A) \cos^2(\theta_B) \cos^2(\theta_C)$ $S = (27) \cos^2(30) \cos^2(90-30) \cos^2(90-30-30)$ $S = 3.8 \, W/m^2$ B removed $S = 0 \, W/m^2$ C removed $S = 0 \, W/m^2$ D removed $S = S_o \cos^2(0) \cos^2(30) \cos^2(90-30)$ $S = 5.1 \, W/m^2$

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Explain the three major steps of eukaryotic mRNA processing with their names of each of the three enzymes in the eukaryotic cells.

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Calculate the density of a solution in g/mL if its specific gravity is 1.0132

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Applying the concept of opportunity cost to the pollution of a lake, an economist probably would conclude that: Multiple Choice pollution should be eliminated as long as the benefit from a cleanup exceeds the opportunity cost. no pollution in the lake should be eliminated regardless of benefit. all pollution in the lake should be eliminated regardless of cost. pollution should be eliminated as long as the opportunity cost of a cleanup exceeds the cost of the resources required for t

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Solve the following decision tree and type your answer (value of the best decision that maximizes the expected value of the tree) in the box. Note, p=0.44. 100 p ? 40 50

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Problem 3. Let $\{a_n\}_{n\ge 1}$ and $\{b_n\}_{n\ge 1}$ be two bounded sequences. Prove that $\lim_{n\to\infty} \sup(a_n + b_n) \le \lim_{n\to\infty} \sup a_n + \lim_{n\to\infty} \sup b_n$.

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X 8.) Joe and Bill throw identical balls vertically upward. Joe throws his ball with twice the initial speed as Bill's ball. The maximum height of Joe's ball will be: A) two times that of Bill's ball. B) four times that of Bill's ball. C) equal to that of Bill's ball. D) eight times that of Bill's ball. E) roughly √2 times that of Bill's ball. X 9.) A child pulls on a wagon with a horizontal force of 75 N. If the wagon moves horizontally a total of 42-m in 3.0 min, what is the average power supplied by the child? A) 18 W B)22 W MS C) 24 W D) 27 W E) 30 W

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Assume 120 volts (rms) Find XL, Z, Total current and current at each element 5.5k 650mH

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Question 2 1. What is a mutator method? Provide an example of a mutator method. 2. Observer the following code aList = [34, 45, 67] target = 45 if target in alist: print(aList.index(target)) else: print(-1) what is the output for the following code? and why? 3. Define a recursive function in Python? What is the base case? Why do we need a base case for a recursive function?

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mackenzie m.