Read lines 120-125 closely. Explain how the speaker sees his role in life. Do you think he has overcome his doubts?

Factor the expression completely. $-7 b^3-7$.

Conteste las preguntas que le hace un amigo sobre su accidente.

¿Vendieron tus padres tu bicicleta? (sí)

Factor completely.

$$t^2+10 t-p^2+25$$

A square plate of side a is immersed vertically in water with its upper side horizontal and at a depth d below the surface. Prove that the centre of pressure is at a distance $\frac{a^{2}}{6(a+2 d)}$ below the centre of the square.

The income statement, balance sheets, and additional information for Great Adventures, Inc., are provided below.

$$\text{GREAT ADVENTURES, INC.}\\ \text{Income Statement}\\ \text{For the year ended December 31, 2020}\\ \begin{matrix} \text{Revenues:} & \text{ } & \text{ }\\ \text{Service revenue (clinic, racing,TEAM)} & \text{$\$ 543,000$} & \text{ }\\ \text{Sales revenue(MU watches)} & \underline{118,000} & \text{ }\\ \text{Total revenues} & \text{ } & \text{$\$ 661,000$}\\ \text{Expenses:} & \text{ } & \text{ }\\ \text{Cost of goods sold (watches)} & \text{$70,000$} & \text{ }\\ \text{Operating expenses} & \text{$304,276$} & \text{ }\\ \text{Depreciation expense} & \text{$50,000$} & \text{ }\\ \text{Interest expense} & \text{$29,724$} & \text{ }\\ \text{Income tax expense} & \underline{57,000} & \text{ }\\ \text{Total expenses} & \text{ } & \underline{511,000}\\ \text{Net income} & \text{ } & \underline{\underline{\$ 150,000}}\\ \end{matrix}$$

$$\text{GREAT ADVENTURES, INC.}\\ \text{GREAT ADVENTURES, INC.}\\ \text{December 31, 2020 and 2019}\\ \begin{matrix} \text{ } & \text{2020} & \text{2019} & \text{Increase (I) or Decrease (D)}\\ \hline \underline{\text{Assets}} & \text{ } & \text{ } & \text{ }\\ \text{Current assets:} & \text{ } & \text{ } & \text{ }\\ \text{Cash} & \text{$\$ 322,362$} & \text{$\$ 138,000$} & \text{$\$ 184,362 (I)$}\\ \text{Accounts receivable} & \text{$45,000$} & \text{$35,000$} & \text{$10,000 (I)$}\\ \text{Inventory} & \text{$17,000$} & \text{$14,000$} & \text{$3,000 (I)$}\\ \text{Other current assets} & \text{$13,000$} & \text{$11,000$} & \text{$2,000 (I)$}\\ \text{Long-term assets:} & \text{ } & \text{ } & \text{ }\\ \text{Land} & \text{$500,000$} & \text{0} & \text{$500,000 (I)$}\\ \text{Buildings} & \text{$1,000,000$} & \text{0} & \text{$1,000,000 (I)$}\\ \text{Equipment} & \text{$65,000$} & \text{$65,000$} & \text{ }\\ \text{Accumulated depreciation} & \underline{(75,250)} & \underline{(25,250)} & \text{$50,000 (I)$}\\ \text{Total assets} & \underline{\underline{\$ 1,887,112}} & \underline{\underline{\$ 237,750}} & \text{ }\\ \underline{\text{Liabilities and Stockholders' Equity}} & \text{ } & \text{ } & \text{ }\\ \text{Current liabilities:} & \text{ } & \text{ } & \text{ }\\ \text{Accounts payable} & \text{$\$ 12,000$} & \text{$\$ 9,000$} & \text{$\$ 3,000 (I)$}\\ \text{Interest payable} & \text{750} & \text{750} & \text{ }\\ \text{Income tax payable} & \text{$57,000$} & \text{$38,000$} & \text{$19,000 (I)$}\\ \text{Long-term liabilities:} & \text{ } & \text{ } & \text{ }\\ \text{Notes payable} & \text{$492,362$} & \text{$30,000$} & \text{$462,362 (I)$}\\ \text{Stockholders' equity:} & \text{ } & \text{ } & \text{ }\\ \text{Common stock} & \text{$120,000$} & \text{$20,000$} & \text{$100,000$ (I)}\\ \text{Paid-in capital} & \text{$1,105,000$} & \text{0} & \text{$1,105,000$ (I)}\\ \text{Retained earnings} & \text{$175,000$} & \text{$140,000$} & \text{$35,000$ (I)}\\ \text{Treasury stock} & \underline{(75,000)} & \underline{0} & \text{$(75,000) (I)$}\\ \text{Total liabilities and stockholders' equity} & \underline{\underline{\$ 1,887,112}} & \underline{\underline{\$ 237,750}} & \text{ }\\ \end{matrix}$$

Additional Information for 2020: 1. Borrowed $500,000 in January 2020. Made 12 monthly payments during the year, reducing the balance of the loan by$37,638. 2. Issued common stock for $1,200,000. 3. Purchased 10,000 shares of treasury stock for$15 per share. 4. Reissued 5,000 shares of treasury stock at $16 per share. 5. Declared and paid a cash dividend of$115,000. Prepare the statement of cash flows for the year ended December 31, 2020, using the indirect method.

Factor the expression completely.

$$(y+2)^2-4$$

Factor completely.

$$8 x^4-\frac{x}{8}$$

The mass of a cube in grams is $M = x^{3} + 0.1x^{4},$ where $x$ is the length of one side in centimeters. If the length is increasing at a rate of $0.02$ cm/hr, at what rate is the mass of the cube increasing when its length is $5$ cm?

Factor the given expressions completely \

$$8a^{3} - 27b^{3}$$

Factor completely.

$$3 t^3+12 t^2$$

Which medication is used for the treatment of metabolic acidosis?

Factor the polynomial completely.

$$x^4+2 x^3+4 x^2$$

A bug is moving along the right side of the parabola $y=x^{2}$ at a rate such that its distance from the origin is increasing at 1 cm/min. a. At what rate is the x-coordinate of the bug increasing at the point (2, 4)? b. Use the equation $y=x^{2}$ to find an equation relating $\frac{d y}{d t}$ to $\frac{d x}{d t}$. c. At what rate is they-coordinate of the bug increasing at the point (2, 4)?