The complete expression for the decay of the radioactive hydrogen isotope tritium may be written as ${ }^3 \mathrm{H} \rightarrow{ }^3 \mathrm{He}+\mathrm{X}+\mathrm{Y}$. The symbols $\mathrm{X}$ and $\mathrm{Y}$ represent
A. $\mathrm{X}=\mathrm{e}^{+}, \mathrm{Y}=\bar{\nu}_{\mathrm{e}}$
B. $\mathrm{X}=\mathrm{e}^{-}, \mathrm{Y}=\nu_{\mathrm{e}}$
C. $\mathrm{X}=\mathrm{e}^{+}, \mathrm{Y}=\nu_{\mathrm{e}}$
D. $\mathrm{X}=\mathrm{e}^{-}, \mathrm{Y}=\bar{\nu}_{\mathrm{e}}$

Give the word derived from Greek and/or Latin elements that matches given of the following. Verify your answer in a medical dictionary. Note that the wording of the dictionary definition may vary from the wording below.
Development of fibrous tissue ________________

A 969 acre wildlife preserve has 19 cheetahs. About how many acres does each cheetah have if each cheetah roams the same number of acres?

An ice cube whose edges measure 20.0 mm is floating in a glass of ice-cold water, and one of the ice cube’s faces is parallel to the water’s surface. (a) How far below the water surface is the bottom face of the block? (b) Ice-cold ethyl alcohol is gently poured onto the water surface to form a layer 5.00 mm thick above the water. The alcohol does not mix with the water. When the ice cube again attains hydrostatic equilibrium, what is the distance from the top of the water to the bottom face of the block? (c) Additional cold ethyl alcohol is poured onto the water’s surface until the top surface of the alcohol coincides with the top surface of the ice cube (in hydrostatic equilibrium). How thick is the required layer of ethyl alcohol?

A $0.075$-$\mathrm{kg}$ ice cube at $0.0^{\circ} \mathrm{C}$ is dropped into a Styrofoam cup holding $0.33 \mathrm{~kg}$ of water at $14^{\circ} \mathrm{C}$. (a) Find the final temperature of the system and the amount of ice (if any) remaining. Assume the cup and the surroundings can be ignored. (b) Find the initial temperature of the water that would be enough to just barely melt all of the ice.

Solve each equation for x.

$$e^{5 x}=e^{20}$$

Find the perimeter of the hexagon with vertices A(-5, 1), B(O, 3), C(5, 1), D( 4, -2), E(O, -4), and F(-2, -4). Round to the

State whether each statement is true or false, and briefly explain why. If the statement is false, try to “fix it” by modifying the given statement to a new statement that is true. If $\sum_{k=1}^{\infty}\left|a_{k}\right|$ diverges, then $\sum_{k=1}^{\infty} a_{k}$ diverges.

If you $dispute$ something, you___.

(A) divide it into parts
(B) agree with it
(C) sent it away
(D) argue over it

The gradient of the melting line of water on a $p-T$ diagram close to $0^{\circ} \mathrm{C} \text { is }-1.4 \times 10^{7} \mathrm{Pa} \mathrm{K}^{-1}$. At $0^{\circ} \mathrm{C}$, the specific volume of water is $1.00 \times 10^{-3} \mathrm{m}^{3} \mathrm{kg}^{-1}$ and ice is $1.09 \times 10^{-3} \mathrm{m}^{3} \mathrm{kg}^{-1}$. Using this information, deduce the latent heat of fusion of ice. In, a lake of water is covered initially by a uniform layer of ice of thickness 1 cm. The air temperature at the surface of the ice is $-0.5^{\circ} \mathrm{C}$. Estimate the rate at which the layer of ice begins to thicken, assuming that the temperature of the water just below the ice is $0^{\circ} \mathrm{C}$. You can also assume steady state conditions and ignore convection. The temperature of the water at the bottom of the lake, depth 1 m, is maintained at $2^{\circ} \mathrm{C}$. Find the thickness of ice which will eventually be formed. [The thermal conductivity of ice is $2.3 \mathrm{Wm}^{-1} \mathrm{K}^{-1}$ and of water is $0.56 \mathrm{Wm}^{-1} \mathrm{K}^{-1}$.]

What accounts are increased from zero balances after adjusting entries for supplies and prepaid insurance are journalized and posted? Explain.

Andretti Company has a single product called a Dak. The company normally produces and sells 60,000 Daks each year at a selling price of $32 per unit. The company’s unit costs at this level of activity are given below:

$$\begin{array}{lrrrr} \text{Direct materials}&\text{\$\hspace{1pt}10.00}\\ \text{Direct labor}&\text{4.50}\\ \text{Variable manufacturing overhead}&\text{2.30}\\ \text{Fixed manufacturing overhead}&\text{5.00}&\text{(\$300,000 total)}\\ \text{Variable selling expenses}&\text{1.20}\\ \text{Fixed selling expenses}&\underline{\text{\hspace{11pt}3.50}}&\text{(\$210,000 total)}\\ \text{Total cost per unit}&\underline{\underline{\text{\$\hspace{1pt}26.50}}}\\ \end{array}$$

A number of questions relating to the production and sale of Daks follow. Each question is independent.

1. Assume that Andretti Company has sufficient capacity to produce 90,000 Daks each year without any increase in fixed manufacturing overhead costs. The company could increase its sales by 25% above the present 60,000 units each year if it were willing to increase the fixed selling expenses by $80,000. Would the increased fixed selling expenses be justified?
2. Assume again that Andretti Company has sufficient capacity to produce 90,000 Daks each year. A customer in a foreign market wants to purchase 20,000 Daks. Import duties on the Daks would be$1.70 per unit, and costs for permits and licenses would be $9,000. The only selling costs that would be associated with the order would be$3.20 per unit shipping cost. Compute the per unit break-even price on this order.
3. The company has 1,000 Daks on hand that have some irregularities and are therefore considered to be “seconds.” Due to the irregularities, it will be impossible to sell these units at the normal price through regular distribution channels. What unit cost figure is relevant forsetting a minimum selling price? Explain.
4. Due to a strike in its supplier’s plant, Andretti Company is unable to purchase more material for the production of Daks. The strike is expected to last for two months. Andretti Company has enough material on hand to operate at 30% of normal levels for the twomonth period. As an alternative, Andretti could close its plant down entirely for the two months. If the plant were closed, fixed manufacturing overhead costs would continue at 60% of their normal level during the two-month period and the fixed selling expenses would be reduced by 20%. What would be the impact on profits of closing the plant for the two-month period?
5. An outside manufacturer has offered to produce Daks and ship them directly to Andretti’s customers. If Andretti Company accepts this offer, the facilities that it uses to produce Daks would be idle; however, fixed manufacturing overhead costs would be reduced by 75%. Because the outside manufacturer would pay for all shipping costs, the variable selling expenses would be only two-thirds of their present amount. Compute the unit cost that is relevant for comparison to the price quoted by the outside manufacturer.

Answer in a sentence or two.

Why does the resolution of a story usually end the suspense?

Find the derivative of the given functions.

$$e^x \ln x y+y=e^x$$