A 50-g block of copper (one mole has a mass of 63.5 g) at a temperature of $35^{\circ} \mathrm{C}$ is put in contact with a 100-g block of aluminum (molar mass 27 g) at a temperature of $20^{\circ} \mathrm{C}.$ The blocks are inside an insulated enclosure, with little contact with the walls. At these temperatures, the high-temperature limit is valid for the specific heat. Calculate the final temperature of the two blocks. Do NOT look up the specific heats of aluminum and copper; you should be able to figure them out on your own.

Fill the blank with the term that correctly complete the sentence. An individual or group that is blamed for the problems of others is known as a _________.

Locate an article in your newspaper illustrating at least one determinant of demand. Write a brief explanation of the effect of the determinant(s).

Find the difference. Check your answer.

$$\begin{array} { r } { 0.70 } \\ { - 0.43 } \\ \hline \end{array}$$

$T_2(x,y)$ is the propositional function "x is taller than or the same height as y." Write the negation of each proposition in words and symbolically. 22. $\forall x\forall y T_2(x,y)$ 23. $\forall x\exists y T_2(x,y)$ 24. $\exists x\forall y T_2(x,y)$ 25. $\exists x\exists y T_2(x,y)$

When a VCR is connected across a 120 V outlet, the VCR has a 0.33 A current in it. What is the power rating of the VCR?

Experiments can measure not only whether a compound is paramagnetic, but also the number of unpaired electrons. It is found that the octahedral complex ion [Fe(CN)6]^3- has fewer unpaired electrons than the octahedral complex ion [Fe(OH2)6]^3+. How many unpaired electrons are present in each species? Explain. In each case, express the CFSE in terms of Δo.

When cancer spreads from its primary location to other parts of the body (a process called metastasis), tumor cells detach from their original location and then reattach at a different location. How would the integrin–collagen system be involved in this process?

The admission fee to an amusement park is $23. It costs an additional c dollars to rent a locker to hold your belongings. The total cost for 7 people to enter the amusement and each rent a locker is$203. How much does it cost for one person to rent a locker?

Isabelle and Karl agreed to meet at the rotating restaurant at the top of a tower in the town center. The restaurant makes one full rotation each hour.
Since the restaurant is busy, they don't get menus for another 10 minutes. How much farther has the restaurant rotated?

Write the corresponding Latin word for the derivatives in the sentence: We must hear what the essence of the problem is.

List all the elements of the sample space for each of the following experiments. choosing a letter of the alphabet

Your firm, Agrico Products, is considering a tractor that would have a cost of $36,000, would increase pretax operating cash flows before taking account of depreciation by$12,000 per year, and would be depreciated on a straight-line basis to zero over 5 years at the rate of $7,200 per year beginning the first year. (Thus, annual cash flows would be$12,000 before taxes plus the tax savings that result from $7,200 of depreciation.) The managers disagree about whether the tractor would last 5 years. The controller insists that she knows of tractors that have lasted only 4 years. The treasurer agrees with the controller, but he argues that most tractors do give 5 years of service. The service manager then states that some last for as long as 8 years. Given this discussion, the CFO asks you to prepare a scenario analysis to determine the importance of the tractor’s life on the NPV. Use a 40% marginal federal-plus-state tax rate, a zero salvage value, and a 10% WACC. Assuming each of the indicated lives has the same probability of occurring probability =1/3), what is the tractor's expected NPV?

Let f be a real-valued function differentiable on a 2-ball B(x). By considering the function $g(t)=f\left[t y_{1}+(1-t) x_{1}, y_{2}\right]+f\left[x_{1}, t y_{2}+(1-t) x_{2}\right]$ prove that $f(\mathbf{y})-f(\mathbf{x})=\left(y_{1}-x_{1}\right) D_{1} f\left(z_{1}, y_{2}\right)+\left(y_{2}-x_{2}\right) D_{2} f\left(x_{1}, z_{2}\right)$, where $z_{1} \in L\left(x_{1}, y_{1}\right)$ and $z_{2} \in L\left(x_{2}, y_{2}\right)$.