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Questions in mathematics

📝 Answered - Draw the region enclosed by the curves x = y^2 − 4 and x = 2y + 4.

📝 Answered - What are the two equations created by the inequality $|x-12|+5<27$? y1 = [ ] and y2 = [ ]

📝 Answered - Describe the translation in $y=x^2-3$.

📝 Answered - Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range: [tex]y=-5 x^2+3 x+10[/tex] a. [tex]D :(x \geq 0.3)[/tex] c. D: [tex](x \geq 0.3)[/tex] R : all real numbers R: [tex](y \leq 10)[/tex] b. D: all real numbers d. D: all real numbers R: [tex](y \geq 10.45)[/tex] R: [tex](y \leq 10.45)[/tex] Please select the best answer from the choices provided A B C D

📝 Answered - You can walk at a pace of [tex]$2 \frac{2}{3}$[/tex] miles per hour. At that pace, how long will it take you to walk [tex]$4 / 5$[/tex] of a mile? A. [tex]$2 \frac{2}{15}$[/tex] hours B. [tex]$1 / 20$[/tex] of an hour C. [tex]$3 / 10$[/tex] of an hour D. [tex]$3 \frac{1}{3}$[/tex] hours

📝 Answered - Find the inverse Laplace transform of the function: [tex]H(s) = \frac{2s}{(s^2 + 1)^2}[/tex] Is the inverse Laplace transform: [tex]L^{-1} \left\{ \frac{2s}{(s^2 + 1)^2} \right\} = 2 \cos t + \sin t[/tex] or [tex]t \sin t[/tex]?

📝 Answered - Show that 12^n can never end with the digit 0 or 5 for any natural number n.

📝 Answered - Activity for summer break: On the basis of Number System (use A3 sheet, make flash card). Note: Label it with Name, Class, Section, and Roll Number of student on the backside of the activity page.

📝 Answered - Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president. Which choice represents the sample space, [tex]$S$[/tex], for this event? [tex]S={PQ, QP, PR, RP, QR, RQ}[/tex] [tex]S={PQR, PRQ, QPR, QRP, RPQ, RQP}[/tex] [tex]S={PQR}[/tex] [tex]S={PQ, PR, QR}[/tex]

📝 Answered - Calculate the total cost for attending a conference if registration is $400, and the employee needs hotel, rental car, per diem, parking, and coverage for 4 days. | Expense | Cost per day | | :---------- | :----------- | | Hotel | $230 | | Rental Car | $110 | | Per Diem | $55 | | Parking | $40 | | Coverage | $400 |