Numerade

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spherical balloon is being filled with gas from a cylinder. The cylinder has a radius of 9 inches, and its lid can be compressed so that the cylinder height decreases, reducing the volume of the cylinder and forcing gas directly into the balloon. As a reminder, the volume of a cylinder is π(radius)2height, and the volume of a sphere is 4 3 π(radius)3. At the moment that the balloon’s radius is 3 inches, that radius is increasing at a rate of 5 inches per minute. (a) At that moment, at what rate is the volume of the balloon increasing? (b) At that same moment, at what rate is the lid of the cylinder moving downward? (Remember that any increase in the balloon’s volume is the result of an identical decrease in the cylinder’s volume.

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Evaluate the expression for y = -2. |-92 - y| =

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Question 9 This means that the similarities between the two things being compared are not substantial enough to assume that another characteristic of one of them probably applies to the other. Which one of the following fallacies most align with this statement? Select one A. Extravagant Hypothesis B. Fallacy of Composition C. Fallacy of Division D. False Analogy

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Find the area of the region bounded by the curves $y = 5 \sin(\pi x)$, $y = 5 \cos(\pi x)$, and the vertical lines $x = 0$ and $x = 1$. Area =

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QUESTION 12 Drake is considering a project with the following cash flows: Initial Outlay: $300,000 Year 1: $162737 Year 2: $136851 Year 3: $86645 Year 4: $109116 Year 5: $50800 The required rate of return is 8%. What is the NPV of the project? (Do not enter the $ sign or a comma in your answer. Round your answer to 2 decimal places.)

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Suppose that real per capita GDP doubled between year 2001 and year 2014. Assume that real per capita GDP grew at the annual constant growth rate g between any two consecutive years. Compute the growth rate g and express it in percent. Note: Round your FINAL answer to 2 decimal places. Type your numerical answer in the box provided below. The growth rate g is percent.

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Texts: A 5-year-old boy is brought to the emergency department by his mother 30 minutes after he choked on a jelly bean. The mother's attempt to dislodge the jelly bean using the Heimlich maneuver was not successful. On arrival, he is coughing and appears extremely anxious. His respirations are 40/min. Pulse oximetry on room air shows an oxygen saturation of 88%. Breath sounds are clear on the left and decreased on the right. Which of the following is the most likely location of the jelly bean at this time? A) Right lower lobe B) Right middle lobe C) Right upper lobe D) Trachea

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Write the equation of the line given the points (3,25) and (4,31)

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Q4. Consider the circuit below. 11 H $V_{in}(t)$ + $\frac{1}{110}$ F 10 ? $V_o(t)$ (a) Find the transfer function $H(s) = \frac{V_o(s)}{V_{in}(s)}$. (b) Sketch the Bode plots of $H(s)$. (c) What type of filter is this? What order? (d) Calculate the frequency in Hz when the attenuation is exactly equal to 20 dB. (e) Calculate the frequency in Hz when the phase shift is exactly equal to -90°.

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You have obtained access to Google's web search logs. For the query "Business Modelling" you notice that 1/3 of the web pages retrieved are relevant (R) and 2/3 are not relevant (NR). Given that a page is relevant, the probability that the query term 'Business' appears is 3/4, whereas given that a page is not-relevant the probability that the query term 'Business' appears is 1/6. a) You pick a retrieved web page at random. Find the probability that it contains the query term 'Business'? (10 marks) b) You pick a web page at random, and you see that it contains the query term 'Business'. Given that it contains this term, what is the probability that the web page is relevant to the query "Business Modelling"? (10 marks)

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ricardo m.