Hoot Enterprises buys a warehouse for $590,000 to use for its East Coast distribution operations. On the date of the purchase, a professional appraisal shows a value of$650,000 for the warehouse. The seller had originally purchased the building for $480,000. Hoot has a similar warehouse on the West Coast that has a book value of$603,000. Under the historical cost principle, Hoot should record the building for

a. $650,000.

b.$480,000.

c. $590,000.

d.$603,000.

Choose the item with the most appropriate choice from the option below. The principle of zero products a) $5 x+2 x^2-4 x^3$ b) $3 x^{-1}$ c) If $a \cdot b=0$, then $a=0$ or $b=0$. d) Prime e) $t^2-9$ f) Hypotenuse g) $8 x^3-4 x^2+$ $12 x+14$ h) $t^3-27$ i) $2 x^2-4 x=7$ j) $4 a^2-12 a+9$

Choose the word from the following list that best completes each statement. Not every word will be used.

$$\begin{array}{ll} \text{even} & \qquad \text{radical}\\ \text{isolate} & \qquad \text{raise}\\ \text{odd} & \qquad \text{rational}\\ \text{powers} & \qquad \text{square roots} \end{array}$$

When we "square both sides" of an equation, we are using the principle of $\underline{\qquad \qquad \qquad}$.

Solve each minimum problem using the duality principle. Minimize

$$C = x_1 +2x_2 + 3x_3 +4x_4$$

subject to the constraints 2

$$\left\{ \begin{array}{ccccccc} x_1 & & +x_3 & \geq 1 \\ & x_2 & & +x_4 \geq1 \\ - x_1 &-x_2 &-x_3 &-x_4 \geq -3 \\ x_1 \geq 0, & x_2 \geq 0, & x_3 \geq 0 & x_4 \geq 0 \end{array} \right.$$

A rocket sled with a mass of 2900 kg moves at 250 m/s on a set of rails. At a certain point, a scoop on the sled dips into a trough of water located between the tracks and scoops water into an empty tank on the sled. By applying the principle of conservation of linear momentum, determine the speed of the sled after 920 kg of water has been scooped up. Ignore any retarding force on the scoop.

Underline any verbs that are used incorrectly. In the space provided, write the correct form (or $C$ if correct) and the number of the $\mathrm{G} / \mathrm{M}$ principle illustrated. When you finish, compare your responses with those provided at the bottom of this page. If your responses differ, study carefully the principles in parentheses.

The reports have laid on his desk for 11 days and are now overdue.

Why is the following situation impossible? An air rifle is used to shoot 1.00-g particles at a speed of $v_{x}=100 \mathrm{m} / \mathrm{s} .$ The rifle's barrel has a diameter of 2.00 mm. The rifle is mounted on a perfectly rigid support so that it is fired in exactly the same way each time. Because of the uncertainty principle, however, after many firings, the diameter of the spray of pellets on a paper target is 1.00 cm.

A soap bubble will enclose the maximum space with a minimum amount of surface material. Architects have used this principle to create buildings that enclose a great amount of space with a small amount of building material. If a soap bubble has a surface area of A, then its volume V is given by the equation $V=0.094 \sqrt{A^{3}}$. Find the surface area of a bubble with a volume of $1.75 \times 10^{2}$ cubic millimetres.

Show that, in principle, $\mathrm{Na}_2 \mathrm{CO}_3(\mathrm{aq})$ can be converted almost completely to $\mathrm{NaOH}(\mathrm{aq})$ by the reaction

$$\begin{aligned} \mathrm{Ca}(\mathrm{OH})_2(\mathrm{~s})+\mathrm{Na}_2 \mathrm{CO}_3(\mathrm{aq}) & \longrightarrow \\ & \mathrm{CaCO}_3(\mathrm{~s})+2 \mathrm{NaOH}(\mathrm{aq}) \end{aligned}$$

Photodissociation of water

$$\mathrm{H}_2 \mathrm{O}(l)+h v \longrightarrow \mathrm{H}_2(g)+\frac{1}{2} \mathrm{O}_2(g)$$

has been suggested as a source of hydrogen. The energy for the reaction is $285.8 \mathrm{~kJ}$ per mole of water decomposed. Calculate the maximum wavelength (in $\mathrm{nm}$ ) that would provide the necessary energy. In principle, is it feasible to use sunlight as a source of energy for this process?

Use the duck principle to show that each equation is true. a. $\sqrt[4]{125} \cdot \sqrt[4]{5} = 5$ b. $\sqrt[3]{18} \cdot \sqrt[3]{12} = 6$ c. $\dfrac{\sqrt[5]{128}}{\sqrt[5]{16}} = \sqrt[5]{8}$ d. $\sqrt[4]{100} = \sqrt{10}$ e. $\sqrt[3]{4} \cdot \sqrt[6]{3} = \sqrt[6]{48}$

What is the expected result when you roll a single die? Specify 40 rolls, and then click on "roll the dice." After the last roll, click on "show mean." Does your expected sum agree with the green mean? What happens to the plotted points as the number of rolls increases? If the picture is not clear, click on "roll the dice" for a new total of 80 rolls. Describe what you see in a sentence. What is the name for this principle?

Refer to the figure and use the principle of superposition to Find the component of the current $i$ through $R_{3}$ that is due to $V_{S 2}$.

$$\begin{aligned} & V_{S 1}=V_{S 2}=450 \mathrm{~V} \\ & R_{1}=7 \Omega \quad R_{2}=5 \Omega \\ & R_{3}=10 \Omega \quad R_{4}=R_{5}=1 \Omega \end{aligned}$$

Show how a single block of glass can be used to turn a p-polarized beam of light through $180^{\circ},$ with the light suffering (in principle) zero reflective loss. The light is incident from air, and the returning beam (also in air) may be displaced sideways from the incident beam. Specify all pertinent angles and use n = 1.45 for glass. More than one design is possible here.