Numerade

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to the outfielders. If the baseball (mass = 145 g) stays in contact with the bat for 0.04 s and leaves the bat with a speed of 56 m/s, what is the average force acting on the ball?

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57. (II) A 3500-pF air-gap capacitor is connected to an 18-V battery. If a piece of mica fills the space between the plates, how much charge will flow from the battery?

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Some patients with birch pollen allergies have been successfully desensitized to the allergen by a long course of weekly treatments involving incrementally increased doses of the allergen injected subcutaneously. At the end of the treatment, pollen-specific antibodies and T cells in a sampling of such patients were assessed, and compared to those present in the same individuals prior to the desensitization process. After the treatment, what did desensitized patients most likely show? Increased numbers of pollen allergen-specific Th2 cells Reduced number of pollen allergen-specific Treg cells Increased numbers of pollen allergen-specific T cells producing IL-10 A complete absence of pollen allergen-specific antibodies

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Which of the following tax rates taxes individuals more when one earns more income? Progessive Tax Proportional Tax Regressive Tax Lump Sum Tax

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19. Let \overrightarrow{A} = (2\text{ m})\hat{i} + (6\text{ m})\hat{j} - (3\text{ m})\hat{k} and \overrightarrow{B} = (4\text{ m})\hat{i} + (2\text{ m})\hat{j} + (1\text{ m})\hat{k}. The vector difference \overrightarrow{D} = \overrightarrow{A} - \overrightarrow{B} is: A) $(6\text{ m})\hat{i} + (8\text{ m})\hat{j} - (2\text{ m})\hat{k}$ B) $(-2\text{ m})\hat{i} + (4\text{ m})\hat{j} - (4\text{ m})\hat{k}$ C) $(2\text{ m})\hat{i} - (4\text{ m})\hat{j} + (4\text{ m})\hat{k}$ D) $(8\text{ m})\hat{i} + (12\text{ m})\hat{j} - (3\text{ m})\hat{k}$ E) none of these

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Hanna works a total of 50 hours each week at two part-time jobs. She works at a restaurant, where she earns $11 per hour, and as a freelance blog editor, where she earns $16 per hour. a. Write a function $f$ that inputs the number of hours Hanna works at the restaurant in a week ($x$) and outputs the number of hours she can work as a freelance blog editor that week. b. Write a function $g$ that inputs the number of hours she works as a freelance blog editor in a week ($n$) and outputs the total amount of money she makes from editing that week (in dollars). c. Which composite function produces values with a real-world meaning in this context? $g \circ f$ $f \circ g$ d. Write the formula that defines the composite function you selected in part (c). e. The function in part (d) inputs and outputs

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Which of the following are reasons for studying American government? (Select every correct answer.) Understanding American government makes it acceptable to step back and let others do the work. Understanding the way the American political system works is crucial to participating in government. Understanding the way the government functions allows you to better advocate for your own self-interests. Understanding that the American government is stagnant and unchanging helps track predictable political outcomes.

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Axon and dendrites can be found in which type of tissue? Select one: a. Connective Tissue b. Epithelial Tissue c. Muscular Tissue d. Nervous Tissue

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Current Attempt in Progress Sheridan Company purchases $46,000 of raw materials on account, and it incurs $55,200 of factory labor costs. Journalize the two transactions on March 31, assuming the labor costs are not paid until April. (List all debit entries before credit entries. Credit account titles are automatically indented when amount is entered. Do not indent manually.) Date Account Titles and Explanation Debit Credit Mar. 31 31 (To record raw materials purchased) (To record factory labor costs)

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4. (Extra credit) Suppose that the cumulative distribution function of X is given by \begin{cases} 0, & x < 0; \\ \frac{x}{4}, & 0 \le x < 1; \\ \frac{1}{3} + \frac{x-1}{5}, & 1 \le x < 3; \\ \frac{3}{4}, & 3 \le x < 4; \\ 1, & 4 \le x. \end{cases} (a) Find P(X = i), i = 1,2,3, 4. (b) Find P(0.6 < X < 1.3). (c) Find P(1.5 < X < 2.9).

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jamie j.