Questions in mathematics

Questions in mathematics

📝 Answered - Select the correct answer. This is the formula for the volume of a right square pyramid, where $a$ is the side length of the base and $h$ is the height: [tex]$V=\frac{1}{3} a^2 h$[/tex] Which equation correctly rewrites the formula to solve for $h$? A. [tex]$h=\frac{3 V}{a^2}$[/tex] B. [tex]$h=\frac{3 V^2}{6}$[/tex] C. [tex]$h=3 V a^2$[/tex] D. [tex]$h=\frac{V a^2}{3}$[/tex]

📝 Answered - Solve the inequality $16-7 a \geq -33$ A) $a \leq 7$ B) $a>-7$ C) $a \geq 7$ D) $a<-7$

📝 Answered - Given $\left\{\begin{array}{l}\frac{x^3-1}{x^2-1}, \text { for } x<1 \\ \frac{3}{x-1}, \text { for } x \geq 1\end{array}\right.$. What is $\lim _{x \rightarrow 1^{-}} f(x)$?

📝 Answered - Complete the equivalent fraction by filling in the box. $\begin{array}{l} 19 \quad 76 \\ 7 \quad \square \end{array}$

📝 Answered - Express the ratio $8:56$ in the form $1:n$.

📝 Answered - Which graph represents the solution to the inequality $-4m - 3 > 9$?

📝 Answered - Find the absolute extrema of the function on the closed interval. [tex]f(x)=\sin (x), \quad\left[\frac{3 \pi}{4}, \frac{7 \pi}{4}\right][/tex] minimum [tex](x, y)=[/tex] maximum [tex](x, y)=[/tex]

📝 Answered - Find the difference quotient of [tex]$f$[/tex], that is, find [tex]$\frac{f(x+h)-f(x)}{h}, h \neq 0$[/tex], for the following function. Be sure to simplify. [tex]$f(x)=x^2-5 x+1$[/tex] [tex]$\frac{f(x+h)-f(x)}{h}=\square$[/tex]

📝 Answered - Which expression is equivalent to $\log _3 \frac{c}{9}$ ? $\log _3 c+\log _3(9)$ $\log _3(9)+\log _3(c)$ $\log _3 c-\log _3(9)$ $\log _3(9)-\log _3(c)$

📝 Answered - Make 'P' the subject in the formula A = P (1+r)