Questions in mathematics

Questions in mathematics

📝 Answered - Simplify the expression $\left(\frac{x^3}{x^4}\right)^2$. A) $\frac{1}{x^2}$ B) $\frac{1}{2}$ C) $\frac{1}{x}$ D) $\frac{x}{x^2}$

📝 Answered - Use synthetic division and the Remainder Theorem to find the value. [tex]f(x)=9 x^4+11 x^3+6 x^2-6 x+23 ; f(-3)[/tex]

📝 Answered - Solve the inequality. [tex]2(4+2 x) \geq 5 x+5[/tex] A. [tex]x \leq-2[/tex] B. [tex]x \geq-2[/tex] C. [tex]x \leq 3[/tex] D. [tex]x \geq 3[/tex]

📝 Answered - Which of the following expressions can be used to describe the low temperature on Wednesday? Select all that apply. [tex]$16+(-18)(-4)$[/tex] [tex]$16(4)+(-8)$[/tex] [tex]$(16-18)(-4)$[/tex] [tex]$[16+(-18)](-4)$[/tex]

📝 Answered - Part B Rewrite $\frac{1}{2} \cdot \frac{1}{2}$ as an exponential expression with a base of 2.

📝 Answered - (b) Express $\begin{array}{l} 3 \sqrt{3}+2 \sqrt{3} \\ 2 \sqrt{5}-5 \sqrt{2} $\end{array} in the form $q+r \sqrt{5}$ where $g, f$ and $S$ are rational numbers

📝 Answered - $s(t)$ is the position of a body moving along a coordinate line; $s(t)$ is measured in feet and $t$ in seconds, where $t \geq 0$. Find the position, velocity, and speed of the body at the indicated time. State your solution as a decimal rounded to the nearest hundredth. $s(t)=\frac{4 t}{t^2+1} ; \quad T=2$ POSITION: $\square$ FT VELOCITY: $\square$ FT/SEC SPEED: $\square$ FT/SEC

📝 Answered - What is the center of a circle whose equation is $x^2+y^2-12 x-2 y+12=0$? A. $(-12,-2)$ B. $(-6,-1)$ C. $(6,1)$ D. $(12,2)$

📝 Answered - $\begin{array}{l} f(x)=\frac{x}{2}+2 \text { for } x \in R \\ g(x)=x^2-2 x \text { for } x \in R \end{array}$ Solve the equation: $f(g(x))=f^{-1}(x)$

📝 Answered - Let Z~N(0, 1). Find P(Z > -0.1).