Numerade

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A pool of water of at a depth of H = 5 m is contained by a vertical rectangular dam with a width W = 10 m. What is the horizontal force (F x ) on the wall? The density of water is 1 g/cm3 and g = 9.8 m/s2

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The current yield on a bond is equal to the annual interest divided by the: Group of answer choices current par value. face amount. issue price. maturity value. current market price. $2,072.79 $2,109.82

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In the first stage of an inflammatory response: T cells release interferon blood flow to an area increases red blood cells release pyrogens neutrophils phagocytize bacteria mast cells release histamine, serotonin, and heparin

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Suppose at a local market, the market price of prime steak rises from $16 per pound to $20 per pound, and the quantity demanded drops from 1000 pounds per week to 800 pounds per week. Which percentage change is correct? A. the price increased 25% B. the quantity demanded decreased 25% C. the price increased 20% D. the price decreaed 25%

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The Cell Theory states that all living things are made of one or more cells, that cells are the basic unit of life, and that all cells come from other cells. True False

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If you are cooking for a party of 100, and your recipe is for a serving size of 10 people, you can multiply the recipe by 10 to get the same results. ◻ True ◻ False If you are cooking for a party of 100, and your recipe is for a serving size of 10 people, you can multiply the recipe by 10 to get the same results. ◻ True ◻ False

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It is important to define or select similarity measures in data analysis. However, there is no commonly accepted subjective similarity measure. Results can vary depending on the similarity measures used. Nonetheless, seemingly different similarity measures may be equivalent after some transformation.

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Combinations lying on the production possibilities frontier are possible but inefficient with the current resources and technology. (Enter one word in the blank.)

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2. Give context-free grammars generating the following languages. a. (EXTRA CREDIT) The set of all strings over \{a,b\} not of the form $ww$ for some string $w \in \{a,b\}$ . To receive extra credit points for this ques- tion, you must provide a complete and correct solution, including an ex- plicit CFG generating this language, as well as a clear and complete ar- gument/proof showing why your CFG generates exactly the language in question. b. (10 marks) The complement of the language \{$a^nb^n$ | $n \ge 0$\}

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PROBLEM 2. A bullet of mass m and speed $v_o$ passes through a wheel at rest. The wheel has the moment of inertia $I$ about the center and can spin on a frictionless axle through the center. The bullet passes through the wheel at a (perpendicular) distance $d$ from the center and emerges with the speed $v_o/2$. Give your answers in terms of m, $v_o$, d and $I$. (Assume that $I$ remains constant during the process described.) (a) What is the angular speed of the wheel after the bullet passes through? (use angular momentum!). (b) What constant external torque $\tau$ is now needed to stop the wheel in time $\Delta t$?

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amber l.