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Questions in mathematics

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Which of the following ordered pairs is a solution of the system of inequalities? [tex] \begin{array}{l} y\ \textgreater \ 2 x^2-8 \\ y \leq-x^2-3 x+4 \end{array} [/tex] A) $(5,0)$ B) $(-3,-2)$ C) $(4,-3)$ D) $(0,-5)$

📝 Answered - Compare the process of solving x-11+1<15 to that of solving x-1+1 >15.

📝 Answered - $\sqrt{3 x+4}=1+\sqrt{3 x-11}$ When both sides of the equation are squared, the resulting equation is A. $3 x+4=9 x^2+122$ B. $3 x+4=3 x-10$ C. $3 x+4=2 \sqrt{3 x-11}+3 x-10$

📝 Answered - The total age of two sisters is 108 years. One is 18 years older than the other. Find the ratio of the age of the older to that of the younger.

📝 Answered - What is the solution to the system of equations? [tex]\begin{array}{l} y=-3 x-2 \\ 5 x+2 y=15 \end{array}[/tex] A. (-40,19) B. (-19,55) C. (19,-40) D. (55,-19)

📝 Answered - What is 0.000678 written in scientific notation? A. $6.78 \times 10^{-3}$ B. $678 \times 10^6$ C. $6.78 \times 10^{-5}$ D. $6.78 \times 10^{-4}$

📝 Answered - Krisha, a heroine of Nepali film, made a music video and uploaded it to social media. The number of new viewers is increasing every hour, as shown below: | hour | 1 | 2 | 3 | ... | |------------|-----|-----|-----|-----| | New viewers | 600 | 700 | 800 | ... | a) In which sequence are the new viewers of the video increasing? b) How many total new viewers will there be after 9 hours? Find it. c) Does the music video reach 8500 viewers in 9 hours? Calculate.

📝 Answered - Solve the quadratic equation numerically (using tables of [tex]$x$[/tex]- and [tex]$y$[/tex]-values). [tex]$x^2+7 x+12=0$[/tex] a. [tex]$x=-1$[/tex] or [tex]$x=-1$[/tex] c. [tex]$x=-3$[/tex] or [tex]$x=-3$[/tex] b. [tex]$x=-4$[/tex] or [tex]$x=-3$[/tex] d. [tex]$x=2$[/tex] or [tex]$x=-1$[/tex] Please select the best answer from the choices provided A B C D

📝 Answered - The polynomial equation $x^3+x^2=-9 x-9$ has complex roots $\pm 3 i$. What is the other root?