The temperature of ambient air in a certain location is measured to be $-40^{\circ} \mathrm{C}$. Express this temperature in Fahrenheit ($^{\circ} \mathrm{F}$), Kelvin (K), and Rankine (R) units.

Timothy Monroe opened a law office on January 1, 2017. During the first month of operations, the business completed the following transactions:

Jan. 1. Monroe contributed $\$ 62,000$ cash to the business, Timothy Monroe, Attorney. The business issued common stock to Monroe. 3. Purchased office supplies, $\$ 500$, and furniture, $\$ 2,000$, on account. 4. Performed legal services for a client and received $\$ 1,600$ cash. 7. Purchased a building with a market value of $\$ 70,000$, and land with a market value of $\$ 29,000$. The business paid $\$ 35,000$ cash and signed a note payable to the bank for the remaining amount. 11. Prepared legal documents for a client on account, $\$ 300$. 15. Paid assistant's semimonthly salary. $\$ 1,180$. 16. Paid for the office supplies purchased on January 3 on account. 18. Received $\$ 2,000$ cash for helping a client sell real estate. 19. Defended a client in court and billed the client for $\$ 1,400$. 25. Received a bill for utilities, $\$ 550$. The bill will be paid next month. 29. Received cash on account, $\$ 700$. 30. Paid $\$ 840$ cash for a 12-month insurance policy starting on February 1. 30. Paid assistant's semimonthly salary, $\$ 1,180$. 31. Paid monthly rent expense, $\$ 1,300$. 31. Paid cash dividends of $\$ 2,900$.

Requirements

1. Record each transaction in the journal, using the following account titles: Cash; Accounts Receivable; Office Supplies; Prepaid Insurance; Furniture; Building; Land; Accounts Payable; Utilities Payable; Notes Payable; Common Stock; Dividends; Service Revenue; Salaries Expense; Rent Expense; and Utilities Expense. Explanations are not required.
2. Open the following four-column accounts including account numbers: Cash, 101; Accounts Receivable, 111; Office Supplies, 121; Prepaid Insurance, 131; Furniture, 141; Building, 151; Land, 161; Accounts Payable, 201; Utilities Payable, 211; Notes Payable, 221; Common Stock, 301; Dividends, 311; Service Revenue, 411; Salaries Expense, 511; Rent Expense, 521; and Utilities Expense, 511.
3. Post the journal entries to four-column accounts in the ledger, using dates, account numbers, journal references, and posting references. Assume the journal entries were recorded on page 1 of the journal.
4. Prepare the trial balance of Timothy Monroe, Attorney, at January 31, 2017.

Suppose an asteroid is found that appears to be heading directly toward Earth (using Earth's location at the time of discovery). It is 4.2 au away (i.e., 4.2 times the Earth Sun distance), and travelling through the Solar System with a speed of 20 km/s. (a) How long would it take the asteroid to reach Earth (at Earth's location at the time of discovery), assuming the asteroid's speed is constant? (b) Will the Earth be at approximately the same location in its orbit around the Sun after the time interval computed in part (a)? Discuss what could happen.

Twenty-five geranium plants were placed in each of four closed containers and then exposed to the light conditions shown in the data table. All other environmental conditions were held constant for a period of two days. At the beginning of the investigation, the quantity of carbon dioxide $\left( CO _2\right)$ present in each container was $250 cm ^3$ (cubic centimeters). The data table shows the amount of $CO _2$ remaining in each container at the end of two days.

Identify the source of the carbon used in photosynthesis.

Suppose that a system using one of the components described in the mentioned exercise, with failure rate 5% per day, is sent up in a satellite together with three spare components of the same type. Assume that as soon as the original component fails, it is replaced by one of the spares, and when that component fails it is replaced by a second spare, and so on. The total operating time of the component plus three spares is then $T_{\text {total }}=T_1+T_2+T_3+T_4$ where $T_1$ is the operating time of the first component, $T_2$ is the operating time of the first spare, and so on. Assuming that the satellite launch is successful, and normal operating conditions obtain once the satellite is in orbit, calculate:

a) $\left.E\left(T_{\text {total }}\right]\right)$;

b) $S D\left(T_{\text {total }}\right)$;

c) $P\left(T_{\text {total }} \geq 60\right.$ days $)$.

Find the least squares regression line $y=a x+b$ for the points

$$\left(x_1, y_1\right),\left(x_2, y_2\right), \ldots,\left(x_n, y_n\right)$$

by solving the system for $a$ and $b$.

$$\begin{gathered} n b+\left(\sum_{i=1}^n x_i\right) a=\sum_{i=1}^n y_i \\ \left(\sum_{i=1}^n x_i\right) b+\left(\sum_{i=1}^n x_i^2\right) a=\sum_{i=1}^n x_i y_i \end{gathered}$$

Then use the graphing utility to confirm the result. \

$$(0,4),(1,3),(1,1),(2,0)$$

Give the number of real roots. $2 x^{2}+3 x+2=0$

Give the number of real roots. $2 y^{2}-2 y+8=0$

Consider two identical fans, one at sea level and the other on top of a high mountain, running at identical speeds. How would you compare (a) the volume flow rates and (b) the mass flow rates of these two fans?

To pry the lid off a crate, a crowbar that is $18.2$ inches long is used as a lever. It is placed so that $1.5$ inches of its length extends inward from the edge of the crate.

If a force of $16$ pounds is applied to the end of the crowbar, what is the force placed on the lid?

Consider a buffered solution containing $\mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } \mathrm { Cl }$ and $\mathrm { CH } _ { 3 } \mathrm { NH } _ { 2 } .$ Which of the following statements concerning this solution is(are) true ? $( \mathrm { K } _ { \mathrm { a } }$ for $\mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } ^ { + } = 2.3 \times 10 ^ { - 11 } . )$ a. A solution consisting of $0.10\ \mathrm{M}\ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } \mathrm { Cl }$ and $0.10\ \mathrm {M}\ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 2 }$ would have a higher buffering capacity than one containing $1.0\ \mathrm { M }\ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } \mathrm { Cl }$ and $1.0\ \mathrm { M }\ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 2 }.$ b. If $\left[ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 2 } \right] > \left[ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } ^ { + } \right],$ then the pH is larger than the $\mathrm { p } K _ { \mathrm { a } }$ value. c. Adding more $[ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } \mathrm { Cl } ]$ to the initial buffer solution will decrease the pH. d. If $[ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 2 } ] < \left[ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } ^ { + } \right] ,$ then $\mathrm { pH } < 3.36.$ e. If $[ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 2 } ] = [ \mathrm { CH } _ { 3 } \mathrm { NH } _ { 3 } ^ { + } ] ,$ then $\mathrm { pH } = 10.64.$

What are the organs of the thoracic and abdominal cavities?

Twenty-five geranium plants were placed in each of four closed containers and then exposed to the light conditions shown in the data table. All other environmental conditions were held constant for a period of two days. At the beginning of the investigation, the quantity of carbon dioxide $\left( CO _2\right)$ present in each container was $250 cm ^3$ (cubic centimeters). The data table shows the amount of $CO _2$ remaining in each container at the end of two days.

The independent variable in this investigation was the

(1) type of plant

(2) color of light

(3) amount of $CO _2$ in each container at the beginning of the investigation

(4) number of days needed to complete the investigation

Relate pleurisy, pleural effusion, and empyema to pulmonary infection.