Q and A for the topic: General

Suppose that the following force ~F(t) = 8>>><>>>: 2iˆ, t 2 [0, 1] −2iˆ, t 2 (1, 4] 0iˆ, t 2 (4, +¥) (1) acts on a particle of m = 1. Determine ~x(t),~v(t),~a(t) if x(t = 0) = 0, v(t = 0) = 0. Describe the story of this particle. In which times it accelerates/decelerates. Does it stop? If yes at what time?

Change the following improper fraction to a decimal. Round to the nearest tenth. 17/6=

I am a number greater than 50 and less than 60. I am divisible by 2. If you subtract from me one, I become divisi- • ble by 5.

What is 15% as a decimal

a1=_(3(_)+4)=_

find the range of y= 2x - 5/ x

one-tenth of a number is 16

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 95% confident that his estimate is within six percentage points of the true population?

Luxon Shumba Attorneys commenced operations on 1 January 2015 by introducing E300,000 into the business bank account. Other transactions in the practice during January 2015 included the following: 2 ​Paid office rent by cheque to Lucia Malambe for January 2015​​E5 000 3​Debited Yoliswa Dlamini with fees in respect of a third party case​​E7 000 4 ​Paid membership fees to the Law Society by cheque for​​​E2 000 8 ​Themba Ndlondlo instructed Luxon Shumba Attorneys to issue ​summons against his wife for a divorce on the grounds of desertion and he paid in this regard E8,000. 10 ​Debited Mary Dlamini in respect of fees charged for a collection from ​Phepsiwe Mweli​​​​​​ E10 000 12​Bought books for a law library and paid by cheque ​​ E30 000 15​Bought a computer from Computronics Pty Limited on a credit basis ​for the amount of ​​​​​​ E15,000 20​Receive an account from Sheriff Michael Bhembe in respect of ​Luxon Shumba Attorney’s client Yoliswa Dlamini that amounted to E3 000 23​Receive a cheque from Yoliswa Dlamini in settlement of her account of ​E10 000 23​Luxon Shumba Attorneys paid the Sheriff Michael Bhembe the E3 000 as money had been received from Yoliswa Dlamini to settle her account. 24 ​Luxon Shumba Attorneys Billed Themba Ndlondlo for the Divorce matter an amount of E10 000 which represented final fees and the matter was closed on this date. 25​Paid the following by cheque:​ ​Water and electricity​​​​​​​E2 000 ​Telephone​​​​​​​E3 000 ​Salaries​​​​​​ E100 000 31​Withdraw from the business bank account of Luxon Shumba Attorneys for private use an amount of E10,000. 31​Received from Themba Mazibuko a cheque advance deposit of E20,000 for a criminal matter for which work commenced in February 2015. Required: a) As an Accountant of Luxon Shumba Attorneys, record the above transactions in the books of prime entry the month of January 2015. (15 Marks) b) Prepare the ledger entries in respect of the transactions in (a) for the month of January 2015 in the books of Luxon Shumba Attorneys and close off all relevant accounts where applicable for this month. (15 Marks) c) Extract a trial balance for Luxon Shumba Attorneys as at 31 January 2015.

Encuentre dy/dx X=tsent Y=t²+t

Calculate the change in the Ar argument of the function y = (x) = 4 x 7 and the change in the demand of the function 4y. when: × € [0; 1];

Use the simple interest formula. A student graduates from college with 44,000 in student loans with a 5.6% annual simple interest rate. In order to reduce his debt as quickly as possible, beginning next month he is going to pay $900 per month towards the loan. After his first payment, how much will he owe on the loan? Round to the nearest cent as needed.

The cost (c) of hiring a car is given by C = 12d + 19, where d represents days. Determine the maximum number of whole days we can hire a car if we have a total of $130.

Derivative f(x) = (lnx)^e^2x

A restaurant offers a special pizza with 4 toppings. If the restaurant has 12 topping from which to choose, how many different special pizzas are possible?

Determine the empirical formula of a compound having the following percent composition by mass: K: 24.75%, Mn: 34.77%, and O: 40.51%

Large pizza are sold in cardboard boxes when closed the boxes measure 40cm by 40cm by 2.5cm and are cuboid. The company think it could use the same net but reduce the dimensions to 38cm by 38cm by 2cm. Sides and flaps all have a width of 2.5cm. Beth is asked to calculate the percentage reduction in cardboard if the smaller boxes are used. What answer should Beth get?.

2) One way of making sodium chloride is according to the following unbalanced equation: Na(s) + Cl2(g) → NaCl(s) In a reaction, a student mixed 3.00 grams of Na(s) with 6.2 grams of Cl2(g), making 7.60 grams of NaCl. Balance the equation and determine which, if any, of the starting materials was in excess? . [Molar mass (g/mol): Na = 22.99, and Cl = 35.45] 3) If 27.0 mL of 0.25 M NaCl aqueous solution are mixed with 36.0 mL of 0.42 M Ca(NO3)2 aqueous solution. Is there a reaction taking place? Find the molarity of each ion present in the final solution. 4) Vinegar contains acetic acid (HC2H3O2), which is responsible for its acidity. In one analysis, a 20.00 mL sample of vinegar was titrated with 0.50 M NaOH(aq). It required 35.5 mL of this sodium hydroxide titrant to neutralize the acid in the vinegar sample. If 1.000 liter of this vinegar weighs 1.008 kg, what is the percent, by weight, of acetic acid in this vinegar sample? . [Molar mass (g/mol): C = 12.01, H = 1.008, Na = 22.99, and O = 16] 5) A 50.0 mL sample of 18.0 M sulfuric acid was diluted with enough water in a volumetric flask to make 5.00x10^2 mL of solution. A 50.0 mL aliquot of this solution was then further diluted to a volume of 2.50x10^2 mL. What is the molarity of the solution after the second dilution?

Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.

Question 3 A square has a perimeter given by the algebraic expression 24x – 16. Write the algebraic expression that represents one of its sides.