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The gas mileage for a certain vehicle can be approximated by m = - 0.02x ^ 2 + 3.8x - 47 where is the speed of the in Determine the spes phi(<=) at which the car gets 25 mpg Round to the nearest mph.

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Our affiliation need is most clearly threatened by self-determination. self-esteem. ostracism. autonomy.

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Consider the following reaction: 2NH$_3$(g) $ ightleftharpoons$ N$_2$(g) + 3H$_2$(g) If 0.000861 moles of NH$_3$(g), 0.415 moles of N$_2$, and 0.393 moles of H$_2$ are at equilibrium in a 16.1 L container at 889 K, the value of the equilibrium constant, K$_c$, is

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WLA 7 Close Date: Sat, Mar 23, 2024 11:59 PM Question 9 of 10 A consumer research group purchased identical items in eight drugstores. The mean cost for the purchased items was $140.21. The mode was $139. Using the empirical relationship among mean, median, and mode, estimate the median and comment on the skewness of the distribution. Median: $0.00 Round to the nearest cent Skewness:

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1. (a) Evaluate the sum of the following series: 10 $i. \sum_{n=3}^{10} (2n + 1)$ (3 marks) $ii. \sum_{n=1}^{\infty} \left(\frac{1}{2^n}\right)$ (3 marks) (b) Show that the series $\sum_{n=1}^{\infty} (-1)^n \left(\frac{n}{2n^2 - 1}\right)$ is conditionally convergent. (6 marks) (c) Find the Taylor series of $f(x) = e^x$ at $x_0 = 1$. (8 marks) 2. (a) The following table shows the Height of 50 peoples in cm. Height (cm) Frequency 140-150 2 151-160 7 161-170 20 171-180 14 181-190 5 191-200 2 i. Mean ii. Standard deviation (4 marks) (5 marks) (b) An assembly line produces wireless alarm set. The probability that a wireless alarm set is defective is 0.02. If 40 wireless alarm sets are selected randomly, compute the probability that: i. exactly 3 is defective. ii. not more than 3 are defective. (2 marks) (4 marks) (c) A manufacturing company produce bulbs with its lifetime following the normal distribution with mean of 65 hours and a standard deviation of 4 hours. Compute the probability of bulbs with lifetime between 55 hours to 70 hours. (5 marks)

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Reserve Corporation is a personal service corporation. Its taxable income for the current year is $220,000. What is Reserve's income tax liability for the year?

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Post your answer to the following question: How do you find the zeros of a polynomial? (Step by step )

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Done < > AA session.masteringaandp.com <HW 3 (Ch 5) Art Activity: Figure 5.11 9 of 10 > the ap labels to their respective targets. Hormone receptor complex Hormone response element mRNA Diffusion nuclear receptor Cytoplasmic receptor Request Answer Lipophilic messenger Extracellular fluid 1a Nucleus Target cell 5 Prote 4 Riboso 3 2 Nuclear envelope Nuclear pore

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2. A manufacturing company has the following utility cost distribution? Month Utility cost($) Unit produced January 4,000 400 February 5000 800 March 9,000 1200 April 10,000 1600 May 15,000 2,000 a. Use the two point method to separate the mixed cost into its fixed and variable portions. What is the total cost for next September if it's expected that 1000 units will be produced? b. Use the least square method to separate the mixed cost into its fixed and variable portions If the utility cost and unit produced increased by 100% of its values.

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Which pair, respectively, provides the best example of Sartre's "Being-in-itself" vs. "Being-for-itself" distinction? Inauthenticity vs. authenticity. A rock vs. human consciousness. A tree vs. an iPhone. Human consciousness vs. God's consciousness.

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justin n.