From the list below, supply the words needed to complete the paragraph. Some words will not be used. laggard, entice, gambit, obsequy, denizen, fealty, gratify. The king knew that his plan for a surprise attack would be a[n] _____ that would test the _____ of his soldiers, but it was the only chance he had of thwarting the invading fleet. Speed would be the key to success; one _____ in the ranks could jeopardize the entire operation if the soldier were not in place at the right time. As an incentive to fight well, the king promised to _____ each soldier with twenty acres of land after the battle. The promise was unprecedented, but on the other hand, if the army should fail, then the soldiers would be lucky to have proper _____ because the invaders did not plan to take prisoners.

Choose the best answer for the following. Impacts of fracking include I. contamination of ground water. II. increased use of coal. III. lower natural gas prices. (a) I only (b) I and II (c) II and III (d) I and III

Write the following numbers in standard form: a) 0.0006, b) 0.000053, c) 0.000864, d) 0.000000088, e) 0.0000007, f) 0.0004145.

Copy the following, if necessary putting in brackets to make the statement correct: a) $7-4 \times 2=6$ b) $12+3 \times 3+4=33$ c) $5+5 \times 6-4=20$ d) $5+5 \times 6-4=56$

Without using a calculator, evaluate the following: a) $4^{-1}$ b) $3^{-2}$ c) $6 \times 10^{-2}$ d) $5 \times 10^{-3}$ e) $100 \times 10^{-2}$ f) $10^{-3}$

Use the properties of logarithms to expand the expression as a sum, difference, and or multiple of logarithms. (Assume all variables are positive.) In xyz

$$\begin{matrix} \text{Cereal Name} & \text{Sugar Amount in} & \text{Cereal Name} & \text{Sugar Amount in}\\ & \text{One Serving (grams)} & \text{One Serving (grams)}\\ \text{Cocoa Rounds} & \text{13} & \text{Multi-Grain Squares} & \text{7}\\ \text{Flakes of Corn} & \text{4} & \text{All Branola} & \text{5}\\ \text{Frosty Flakes} & \text{11} & \text{Munch Crunch} & \text{12}\\ \text{Grape Nuggets} & \text{7} & \text{Branola Flakes} & \text{5}\\ \text{Golden Nuggets} & \text{10} & \text{Complete Flakes} & \text{4}\\ \text{Honey Nut Squares} & \text{10} & \text{Corn Crisps} & \text{3}\\ \text{Raisin Branola} & \text{7} & \text{Rice Crisps} & \text{4}\\ \text{Healthy Living Flakes} & \text{7} & \text{Shredded Wheatleys} & \text{1}\\ \text{Wheatleys} & \text{8} & \text{Puffs} & \text{22}\\ \text{Healthy Living Crunch} & \text{6} & \text{Fruit Circles} & \text{11}\\ \end{matrix}$$

Enter the data set for the sugar amount in various breakfast cereals into a graphing calculator. Then for each given symbol, state what it represents and its calculated value. a. $\bar{x}$, b. $\Sigma x$, c. n.

Dionne can fold 175 packing boxes in 50 minutes. Elias can fold 120 packing boxes in 40 minutes. How long will it take each person to fold 210 packing boxes?

Choose the best answer. Even if a country reduces its birth rate and maintains replacement-level fertility, its population will still continue to grow for several decades because of (a) lower death rates. (b) increased income. (c) population momentum. (d) increased life expectancy.

Two-phase gas-liquid oxygen is stored in a spherical tank of 1-m diameter, where it is maintained at its normal boiling point. The spherical tank is enclosed by a 1.6-m diameter concentric spherical surface at 273 K. Both spherical surfaces have an emissivity of 0.01, and the gap between the inner sphere and outer sphere is vacuumed. Assuming that the spherical tank surface has the same temperature as the oxygen, determine the heat transfer rate at the spherical tank surface.

Your friend Aaron tutors elementary school students. He tells you that the job pays $8.25 per hour. a. How much does Aaron earn if he works 4 hours? b. To answer part (a), did you start with a general rule and make a conclusion or did you start with specific information and create a general rule?

A wind chill temperature is a measure of how cold it feels outside. The wind chill temperature W (in degrees Fahrenheit) is given by $W=35.75+0.6215 T-35.75 v^{0.16}+0.4275 T v^{0.16}$ where T is the actual temperature (in degrees Fahrenheit) and v is the wind speed (in miles per hour). Find the wind chill temperature for the given conditions. Actual temperature: $10^{\circ} \mathrm{F}$, wind speed: 10 mph.

Consider a gasoline engine for a car as a steady device where air and fuel enter at the surrounding conditions $25^{\circ} \mathrm{C}$, 100 kPa, and leave the engine exhaust manifold at 1000 K, 100 kPa, as products assumed to be air. The engine cooling system removes 750 kJ/kg air through the engine to the ambient. For the analysis, take the fuel as air where the extra energy of 2200 kJ/kg of air released in the combustion process is added as heat transfer from a 1800-K reservoir. Find the work out of the engine, the irreversiability per kilogram of air, and the first-and second-law efficiencies.

Consider a condenser in which steam at a specified temperature is condensed by rejecting heat to the cooling water. If the heat transfer rate in the condenser and the temperature rise of the cooling water is known, explain how the rate of condensation of the steam and the mass flow rate of the cooling water can be determined. Also, explain how the total thermal resistance R of this condenser can be evaluated in this case.