Explain the problem with the following statement and correct it. "When a chemical equation is balanced, the number of molecules of each type on both sides of the equation is equal."

Bay City has a 20% chance of having a flood in any given decade. The table shows the results of a simulation using random numbers to find the experimental probability that there will be a flood in Bay City in at least 1 of the next 5 decades. In the table, the number 1 represents a decade with a flood. The numbers 2 through 5 represent a decade without a flood.

$$\begin{matrix}\text{Trial} & \text{Numbers generated}\\\text{1} & \text{2, 2, 5, 5, 5}\\\text{2} & \text{3, 2, 3, 5, 4}\\\text{3} & \text{5, 5, 5, 4, 3}\\\text{4} & \text{5, 1, 3, 3, 5}\\\text{5} & \text{4, 5, 5, 3, 2}\\\text{6} & \text{4, 2, 2, 5, 4}\\\text{7} & \text{1, 3, 2, 4, 4}\\\text{8} & \text{3, 5, 5, 2, 1}\\\text{9} & \text{4, 3, 3, 2, 5}\\\text{10} & \text{5, 4, 1, 2, 1}\\\end{matrix}$$

According to the simulation, what is the experimental probability of a flood in Bay City in at least 1 of the next 5 decades.

Steam flows steadily through an adiabatic turbine. The inlet conditions of the stcam are $6 \mathrm{~MPa}, 400^{\circ} \mathrm{C}$, and $80 \mathrm{~m} / \mathrm{s}$, and the exit conditions are $40 \mathrm{~kPa}, 92$ percent quality, and $50 \mathrm{~m} / \mathrm{s}$. The mass flow rate of the stcam is $20 \mathrm{~kg} / \mathrm{s}$. Find $(a)$ the change in kinetic energy, $(b)$ the power output, and $(c)$ the turbine inlet aread.

What happens with peripheral resistance and blood pressure when arterioles constrict?

Explain the problem with the following statement and correct it: "The chemical formula for ammonia ($NH_3$) indicates that ammonia contains three grams of hydrogen for each gram of nitrogen ."

How many grams of carbon molecules are in $1 \mathrm{~mol}$ of ethanol, $\mathrm{C}_2 \mathrm{H}_6 \mathrm{O}$?

Read each question. Eliminate any unreasonable answers. Then use the information in the question to solve. The table shows the surface areas, in square kilometers, of the oceans.

$$\begin{matrix} \text{Ocean} & Area (km^2)\\ \text{Pacific} & \text{156,000,000}\\ \text{Atlantic} & \text{77,000,000}\\ \text{Indian} & \text{69,000,000}\\ \text{Southern} & \text{20,000,000}\\ \text{Arctic} & \text{14,000,000}\\ \end{matrix}$$

Which of the following represents the area of the Arctic Ocean in scientific notation? A. $0.14 \times 10^{8}$ B. $1.4 \times 10^{7}$ C. $1.4 \times 10^{8}$ D. $14 \times 10^{6}$

Sketch the region of integration, and write an equivalent double integral with the order of integration reversed.

$$\int_0^3 \int_1^{e y}(x+y) d x d y$$

By calculating numerical quantities for a multiparticle system, one can get a concrete sense of the meaning of the relationships $\vec{p}_\text{sys} =M_\text{tot}\vec{v}_\text{CM}$ and $K_\text{tot}=K_\text{trans} + K_\text{rel}$. Consider an object consisting of two balls connected by a spring, whose stiffness is 400 N/m. The object has been thrown through the air and is rotating and vibrating as it moves. At a particular instant the spring is stretched 0.3 m, and the two balls at the ends of the spring have the following masses and velocities:

$$\begin{align*} &\text{1: 5 kg, } \left\langle 8,14,0\right\rangle \text{ m/s} \\ &\text{2: 3 kg, } \left\langle -5,9,0\right\rangle \text{ m/s} \end{align*}$$

Calculate $K_\text{tot}.$

The table lists the approximate surface-water salinity at various latitudes in the Atlantic and Pacific Oceans. Using the data, construct a salinity curve for each ocean on a graph. Then answer the following question.

$$\begin{matrix} \text{Latitude} & \text{Atlantic Ocean} & \text{Pacific Ocean}\\ \text{}{60^{\circ} \mathrm{N}} & \text{33.0} & \text{31.0}\\ \text{}{50^{\circ} \mathrm{N}} & \text{33.7} & \text{32.5}\\ \text{}{40^{\circ} \mathrm{N}} & \text{34.8} & \text{33.2}\\ \text{}{30^{\circ} \mathrm{N}} & \text{36.7} & \text{34.2}\\ \text{}{20^{\circ} \mathrm{N}} & \text{36.8} & \text{34.2}\\ \text{}{10^{\circ} \mathrm{N}} & \text{36.0} & \text{34.4}\\ \text{}{0^{\circ} \mathrm{N}} & \text{35.0} & \text{34.3}\\ \text{}{10^{\circ} \mathrm{N}} & \text{35.9} & \text{35.2}\\ \text{}{20^{\circ} \mathrm{N}} & \text{36.7} & \text{35.6}\\ \text{}{30^{\circ} \mathrm{N}} & \text{36.2} & \text{35.7}\\ \text{}{40^{\circ} \mathrm{N}} & \text{35.3} & \text{35.0}\\ \text{}{50^{\circ} \mathrm{N}} & \text{34.3} & \text{34.4}\\ \text{}{60^{\circ} \mathrm{N}} & \text{33.9} & \text{34.0}\\ \end{matrix}$$

Which latitudes in the Atlantic Ocean have the highest surface salinities?

Sketch the region of integration for the iterated integral, and reverse the order of integration.

$$\int_{-1}^{1} \int_{x^2}^{3-2x62} f(x,y)\ dy\ dx$$

Why does the temperature at which a liquid boils depend on atmospheric pressure?

Which of the following molecules is a dipole?

(a) $\mathrm{HBr}$
(b) $\mathrm{CH}_4$
(c) $\mathrm{H}_2$
(d) $\mathrm{CO}_2$

Indicate which of the following errors, each considered individually, would cause the trial balance totals to be unequal:

a. A fee of $21,000 earned and due from a client was not debited to Accounts Receivable or credited to a revenue account, because the cash had not been received.

Indicate which of the preceding errors would require a correcting entry