The first four ionization energies in $\mathrm{kJ} / \mathrm{mol}$ of a certain second row element are $801,2427,3660$, and 25,025 . What is the likely identity of the element?

Find the distance from $(3,−1, 2)$ to the plane $5x − y − z = 4$.

Write whether you should add a subject (S), verb (V), or a main clause (M), to form a complete sentence. _____ Chief Pontiac the great leader.

A thin electrical heater is wrapped around the outer surface of a long cylindrical tube whose inner surface is maintained at a temperature of $5^{\circ} \mathrm{C}$. The tube wall has inner and outer radii of $25 ~\mathrm{mm}$ and $75 ~\mathrm{mm}$, respectively, and a thermal conductivity of $10 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$. The thermal contact resistance between the heater and the outer surface of the tube (per unit length of the tube) is $R_{t, c}^{\prime}=0.01 \mathrm{~m} \cdot \mathrm{K} / \mathrm{W}$. The outer surface of the heater is exposed to a fluid with $T_{\infty}=-10^{\circ} \mathrm{C}$ and a convection coefficient of $h=100 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$. Determine the heater power per unit length of tube required to maintain the heater at $T_{o}=25^{\circ} \mathrm{C}$.

Select the letter of the word that is the closest in meaning to the first word.

conciliatory:

(a) soothing

(b) rude

(c) vengeful

A telescope is constructed from two lenses with focal lengths of $95.0 \mathrm{~cm}$ and $15.0 \mathrm{~cm}$, the $95.0$-cm lens being used as the objective. Both the object being viewed and the final image are at infinity. (b) Find the height of the image formed by the objective of a building $60.0 \mathrm{~m}$ tall. $3.00 \mathrm{~km}$ away.

Assume ABC Cupcakes of Montana, Inc., completed the following transactions during 2012, the company’s 10th year of operations:

$$\begin{matrix} \text{Feb 3 } & \text{Issued 10,000 shares of common stock (\$3.00 par) for cash of \$280,000.}\\ \text{Mar 19 } & \text{Purchased 2,700 shares of the company’s own common stock at \$24 per share. }\\ \text{Apr 24 } & \text{Sold 1,400 shares of treasury stock for \$26 per share.}\\ \text{Aug 15 } & \text{Declared a cash dividend on the 16,000 shares of \$0.50 no-par preferred stock.}\\ \text{Sep 1 } & \text{Paid the cash dividends. }\\ \text{Nov 22 } & \text{Distributed a 20\\% stock dividend on the 94,000 shares of \$3.00 par common stock outstanding. The market value of the common stock was \$25 per share. }\\ \end{matrix}$$

Analyze each transaction in terms of its effect on the accounting equation of ABC Cupcakes of Montana, Inc.

Find the arc length of

$$y = \left( \frac { x } { 2 } \right) ^ { 4 } + \frac { 1 } { 2 x ^ { 2 } }$$

over [1, 4]. Hint: Show that

$$1 + (y')^2$$

is a perfect square.

Does Target account for share repurchases as (a) treasury stock or (b) retired shares

Fill in the blank with an appropriate word, phrase, or symbol(s). The maximum and minimum values of the objective function occur at the _ of the feasible region.

(a) Write the equilibrium constant for the reaction $\mathrm{P}_{4}(\mathrm{s})+6 \mathrm{H}_{2}(\mathrm{g}) \rightleftharpoons 4 \mathrm{PH}_{2}(\mathrm{g}),$ with the gases treated as perfect. (b) Write the equilibrium constant for the reaction $\mathrm{CH}_{4}(\mathrm{g})+3 \mathrm{Cl}_{2}(\mathrm{g})\rightleftharpoons \mathrm{CHCl}_{3}(\mathrm{l})+3 \mathrm{HCl}(\mathrm{g}),$ with the gases treated as perfect.

Find the distance between P and Q.

$$P(12 y,-3 y), Q(20 y, 12 y), \quad y>0$$

Practice using the exponential decay formula by completing the table below. Round final amounts to the nearest whole.

$$\begin{array}{c|c|c|c} \hline \text { Original } & \begin{array}{c} \text { Decay } \\ \text { Rate per } \\ \text { Ymount } \end{array} & \begin{array}{c} \text { Number of } \\ \text { Years, } \boldsymbol{x} \end{array} & \begin{array}{c} \text { Final } \\ \text { Amount } \\ \text { after } \boldsymbol{x} \text { Years } \\ \text { of Decay } \end{array} \\ \hline 15,000 & 16 \% & 11 & \\ \hline \end{array}$$

List the 7 characteristics that all living organisms share: