Find the acceleration of an 800-kg car that has a net force of 4,000 N acting upon it.

Marco wrote the expression $(2x-7y)^2=4x^2-49b^2$. Explain and correct his error.

What does the speaker mean by his description of Africa as “A book one thumbs / Listlessly, till slumber comes” (ll. $31–32$)?

The two-by-two linear system

$$\begin{array}{l}{a x+b y=e} \\ {c x+d y=f}\end{array}$$

where a, b, c, d, e, f are given, can be solved for x and y as follows: $\operatorname{set} m=\frac{C}{a}$ provided $a \neq 0;$

$$\begin{aligned} d_{1} &=d-m b \\ f_{1} &=f-m e \\ y &=\frac{f_{1}}{d_{1}} \\ x &=\frac{(e-b y)}{a} \end{aligned}$$

Solve the following linear systems using four-digit rounding arithmetic.

$$a. \begin{array}{l}{1.130 x-6.990 y=14.20} \\ {1.013 x-6.099 y=14.22}\end{array}$$

$$b. \begin{aligned} 8.110 x+12.20 y &=-0.1370 \\-18.11 x+112.2 y &=-0.1376 \end{aligned}$$

Review the notes you completed during the lesson and write a paragraph about the impact Mexican independence had on California, New Mexico, and Texas.

Recognizing Run-ons. Write $S$ for complete sentences and $R O$ for run-ons. In an attempt to correct the leak, he actually caused much more damage.

The mass of an iron bolt was 5.4 grams when it was manufactured. After being bolted to an outdoor structure for several months, the mass of the bolt was found to have increased by 0.2 grams. Given the following balanced equation for the reaction, does this example support the law of conservation of mass? Why or why not? $4 \mathrm{Fe}(s)+3 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{Fe}_{2} \mathrm{O}_{3}(s)$

Imagine that you are hovering next to the space shuttle in an Earth orbit. Your buddy of equal mass, who is moving at 4 km/h with respect to the shuttle, bumps into you. If he holds onto you, how fast do you both move with respect to the ship?

Formulate the null and alternative hypotheses that can be used to test whether the wells drilled in 2005 were more likely to be dry than wells drilled in 2012.

What is the net force acting on a 0.15-kg hockey puck accelerating at a rate of 12 $m/s^2$?

Which type of energy causes sunburn?

A thermal energy

B infrared radiation

C the greenhouse effect

D ultraviolet radiation

Use the savings plan formula to answer the following questions.

A friend has an IRA with an $\mathrm{APR}$ of $6.25 \%$. She started the IRA at age $25$ and deposits $\$ 50$ per month. How much will her IRA contain when she retires at age $65$? Compare that amount to the total deposits made over the time period.

The Pennsylvania State University had enrollments of 40,571 students in 2000 and 44,112 students in 2008 at its main campus in University Park, Pennsylvania. What is the slope of your model? Explain its meaning in the context of the situation.

The December 1 account balances for the general and subsidiary ledgers are given in the Working Papers. Instructions: Journalize the following transactions completed during December of the current year. Use page 12 of a sales journal, page 12 of a purchases journal, page 12 of a general journal, page 12 of a cash receipts journal, and page 23 of a cash payments journal. MSC offers sales terms of 2/10, n/30. The sales tax rate is 6%. Source documents are abbreviated as follows: check, C; memorandum, M; purchase invoice, P; receipt, R; sales invoice, S; terminal summary, TS; debit memorandum, DM; credit memorandum, CM. Dec. 1. Paid cash for rent, $1,200.00. C372. 2. Paid cash for electric bill,$346.20. C373. 2. Received cash on account from Clegg Medical Center, covering S64 for $413.40, less 2% sales discount. R92. 3. Paid cash for miscellaneous expense,$72.00. C374. 3. Paid cash on account to Spencer Industries, covering P73 for $580.00, less 2% discount. C375. 4. Sold merchandise on account to Bratton Clinic,$450.00, plus sales tax, $27.00; total,$477.00. S67. 5. Recorded cash and credit card sales, $5,796.00, plus sales tax,$347.76; total, $6,143.76. TS45. Posting. Post the items that are to be posted individually. Post the journals in this order: sales journal, purchases journal, general journal, cash receipts journal, and cash payments journal. 7. Sold merchandise on account to Glenmore School,$462.00. Glenmore School is exempt from sales tax. S68. 7. Received cash on account from Treet Retirement Home, $432.48, covering S65. R93. 8. Bought office supplies on account from Cross Office Supply,$351.60. M43. 9. Purchased merchandise on account from Ogden Instruments, $2,250, less a 40% trade discount. P77. 9. Bought store supplies on account from Ziegler, Inc.,$330.00. M44. 10. Paid cash for office supplies, $174.00. C376. 11. Paid cash on account to Evans Supply,$1,170.00, covering P74. C377. 11. Purchased merchandise on account from Spencer Industries, $1,032.00. P78. 12. Paid cash for store supplies,$264.00. C378. 12. Recorded cash and credit card sales, $7,125.00, plus sales tax,$427.50; total, $7,552.50. TS46. Posting. Post the items that are to be posted individually. 14. Purchased merchandise on account from Evans Supply,$3,276.00. P79. 14. Sold merchandise on account to Odom Daycare, $170.00, plus sales tax,$10.20; total, $180.20. S69. 14. Paid cash for advertising,$415.00. C379. 15. Returned $226.00 of merchandise to Evans Supply from P79,$226.00. DM4. 15. Paid cash on account to Armstrong Medical, $1,272.00, covering P75. C380. 15. Received cash on account from Jamacus Clinic,$821.50, covering S66. R94. 15. Sold merchandise on account to Clegg Medical Center, $490.00, plus sales tax,$29.40; total, $519.40. S70. 15. Paid cash for liability for employee income tax,$342.00, social security tax, $767.00, and Medicare tax,$179.38; total, $1,288.38. C381. 15. Paid cash for semimonthly payroll,$2,313.85 (total payroll, $2,930.00, less deductions: employee income tax,$162.00; social security tax, $181.66; Medicare tax,$42.49; health insurance, $170.00; U.S. Savings Bonds,$30.00; United Way donations, $30.00). C382. 15. Recorded employer payroll taxes,$248.95, for the semimonthly pay period ended December 15. Taxes owed are: social security tax, $181.66; Medicare tax,$42.49; federal unemployment tax, $3.20; and state unemployment tax,$21.60. M45. 19. Recorded cash and credit card sales, $6,925.00, plus sales tax,$415.50; total, $7,340.50. TS47. Posting. Post the items that are to be posted individually. 23. Paid cash on account to Ogden Instruments,$2,200.00, covering P76. C383. 24. Received cash on account from Odom Daycare, covering S69 for $180.20, less 2% discount. R95. 24. Granted credit to Clegg Medical Center for merchandise returned,$120.00, plus sales tax, $7.20, from S70; total,$127.20. CM5. 26. Recorded cash and credit card sales, $6,980.00, plus sales tax,$418.80; total, $7,398.80. TS48. Posting. Post the items that are to be posted individually.