Find the LCM for each set of numbers. List the multiples. 6, 8, and 4

List the prime numbers that are greater than 30 and less than 50.

Which of these numbers is greater than 6 but less than 7 ? A. $\sqrt{6.5}$ B. $\sqrt{67}$ C. $\sqrt{45}$ D. $\sqrt{76}$

Evaluate the expression $m c^2$ for $m=1$ and $c=3 \times 10^8$. Express your answer in scientific notation.

Find the product of the following polynomials.

$$\left(-x^3-2\right)\left(x^2+3 x-3\right)$$

Give the domain and range of each relation. Identify any functions. {(-4, 2), (-4, -2), (1, 5), (1, -5)}

Trevor Moore opened a law office on April 1, 2017. During the first month of operations, the business completed the following transactions:

Apr. 1. Moore contributed $76,000 cash to the business, Trevor Moore, Attorney. The business issued common stock to Moore. 3. Purchased office supplies,$400, and furniture, $2,200, on account. 4. Performed legal services for a client and received$900 cash. 7. Purchased a building with a market value of $120,000, and land with a market value of$29,000. The business paid $45,000 cash and signed a note payable to the bank for the remaining amount. 11. Prepared legal documents for a client on account,$800. 15. Paid assistant's semimonthly salary, $1,230. 16. Paid for the office supplies purchased on April 3 on account. 18. Received$2,800 cash for helping a client sell real estate. 19. Defended a client in court and billed the client for $1,500. 25. Received a bill for utilities,$650. The bill will be paid next month. 28. Received cash on account, $1,700. 29. Paid$4,800 cash for a 12-month insurance policy starting on May 1. 29. Paid assistant's semimonthly salary, $1,230. 30. Paid monthly rent expense,$1,100. 30. Paid cash dividends of $2,000.

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, 531.
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 bal.ance of Trevor Moore, Attorney, at April 30, 2017.

List all numbers for which the rational expression $\frac{y-3}{y+5}$ is undefined.

Solve the given system.

$$\left\{\begin{array}{l}{2 x-y=6} \\ {3 x+2 y=5}\end{array}\right.$$

Sketch the graph of the ellipse, and determine its foci.

$$5 x^2-10 x+4 y^2+24 y=-1$$

Use the vertex and the direction in which the parabola opens to determine the relation's domain and range. Is the relation a function?

$$y ^ { 2 } - 2 y - x - 5 = 0$$

Find the eccentricity of the ellipse. If necessary, round to the nearest hundredth. $$ \frac{x^2}{8}+\frac{y^2}{4}=1$ $$

Order the numbers in the list from least to greatest.

$$\sqrt { 15 } , - 4.3,4.2,0 , - \sqrt { 25 }$$

List all numbers for which $\frac{-6}{(t+2)^2}$ is undefined.