Questions in mathematics

Questions in mathematics

📝 Answered - Write $1011.101_2$ as base 10 number.

📝 Answered - Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth. [tex]2 x^2-3=2 x[/tex] a. [tex]x=-1.1[/tex] or [tex]x=-1[/tex] b. [tex]x=1.82[/tex] or [tex]x=-0.82[/tex] c. [tex]x=0.10[/tex] or [tex]x=-3[/tex] d. [tex]x=0[/tex] or [tex]x=-6.3[/tex] Please select the best answer from the choices provided

📝 Answered - What is the range of [tex]$y=-5 \sin (x)$[/tex]? A. all real numbers B. [tex]$-5 \leq y \leq 5$[/tex] C. all real numbers [tex]$-\frac{5}{2} \leq y \leq \frac{5}{2}$[/tex] D. all real numbers [tex]$-1 \leq y \leq 1$[/tex] E. all real numbers [tex]$-\frac{1}{5} \leq y \leq \frac{1}{5}$[/tex]

📝 Answered - Find the graph of this function as the value of n increases, starting from [tex]n =1[/tex]. [tex]f(n)=\left(\frac{1}{2}+\frac{4}{5} i\right)^{n}[/tex] Remember: [tex]| a + b i|=\sqrt{ a ^2+ b ^2}[/tex]

📝 Answered - Use identities to simplify the expression. [tex]\tan ^2 \theta-\frac{1}{\cos ^2 \theta}[/tex]

📝 Answered - Evaluate $u+x y$, for $u=2, x=9$, and $y=6$.

📝 Answered - Solve the system of equations: [tex] \begin{array}{l} y=7 x-9 \ y=7 x+7 \end{array} [/tex] a. $(-4,1)$ b. $(-4,-1)$ c. $(4,1)$ d. No solution

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

📝 Answered - Solve the quadratic equation. [tex]x^2-7 x=30[/tex]

📝 Answered - 在横线上填写每一步的运算依据： $\begin{aligned} & 22+(-8)+(-2)+4 \\ = & 22+4+(-8)+(-2) \\ = & (22+4)+[(-8)+(-2)] \\ = & 26+(-10) \\ = & 16 \end{aligned}$