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5 Points A 200 L tank initially contains pure water. Brine containing 0.30 kg L$^{-1}$ of salt enters at 4 L min$^{-1}$. The well-stirred mixture flows out at the same rate. Find the salt mass $Q(t)$, in kg , after $t$ minutes. FINAL ANSWER

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6. (2 pts) Water flows through a hydroelectric turbine at a rate of 3.8 million gal/min. The elevation difference between the reservoir surface and the turbine outlet is 80 ft. What is the maximum amount of power output possible? Why will the actual amount be less?

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The concentration of in a solution is determined by titrating it with a 0.1833 M dichromate solution. The balanced net ionic equation for the reaction is:In one experiment, 15.00 mL of the 0.1833 M dichromate solution is required to react completely with 30.00 mL of the solution. Calculate the concentration of the solution.

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Question 22 Construction contractors working on government contracts valued at more than $2,000 must pay their laborers and mechanics what type of local area-based wage to be in compliance with the Davis-Bacon Act of 1931? Discretionary wage Union wage Minimum wage Prevailing wage

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(a) What is the ideal speedup due to pipelining for this processor compared with unpipelined single-cycle processor?

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1) An individual's IUF is given by $U(w) = \ln(w)$, where $w$ = current wealth. She is offered the opportunity to bet on the flip of a coin that results in heads with probability $\theta$, where $0 < \theta < 1$. If she bets $x$, she will end up having $(w + x)$ if heads occurs, and $(w - x)$ if tails occurs. Solve for the optimal value of $x$ as a function of $\theta$. What is her optimal choice of $x$ when $\theta = 0.5$? Can you offer an intuitive explanation in a sentence or two?

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The Lerner index (measure of market power) is ___________ in _________ markets than in _______ markets.

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(1) An information source produces binary triplets {000, 111, 010, 101, 001, 110, 100, 011} with corresponding probabilities {1/4, 1/4, 1/8, 1/8, 1/16, 1/16, 1/16, 1/16}. A binary code assigns a codeword of length $\log_2 p_k$ to triplet $k$. Let $X$ be the length of the string assigned to the output of the information source. (a) Show the mapping from $S$ to $S_X$, the range of $X$. (b) Find the probabilities for the various values of $X$.

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Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates. slope: $\frac{4}{3}$, ordered pair: $(-2, 2)$

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Question 17 5 pts The OSI (Open Systems Interconnection) reference model has seven layers. Which of the following statements are correct in relation to the layers? i. the network layer handles routing ii. if a packet goes from one network to another, and the second network has a smaller maximum transfer unit limit, then the network layer will fragment the packet iii. the users are sitting at the presentation layer iv. the cables are associated with the physical layer i ii, iv i, ii, iii i, iv

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christine r.