Questions in mathematics

Questions in mathematics

📝 Answered - Which expression is equivalent to $\frac{\sqrt[4]{6}}{\sqrt[3]{2}}$ ? A. $\frac{\sqrt[12]{27}}{2}$ B. $\frac{\sqrt[4]{24}}{2}$ C. $\frac{\sqrt[12]{55296}}{2}$ D. $\frac{\sqrt[12]{177147}}{3}$

📝 Answered - A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for the service to clean a certain number of square feet within a home. | | | | | | | :-------------------- | :---- | :---- | :---- | :---- | | Square Feet and Cleaning Time | | | | | | Number of Square Feet, $x$ | 50 | 80 | 100 | 150 | | Time in Minutes, $y$ | 20 | 32 | 40 | 60 | Based on the table, how many minutes would it take for the service to clean 200 square feet? A. 20 minutes B. 80 minutes C. 125 minutes D. 400 minutes

📝 Answered - Zander was given two functions: the one represented by the graph and the function [tex]$f(x)=(x+4)^2$[/tex]. What can he conclude about the two functions? A. They have the same vertex. B. They have one [tex]$x$[/tex]-intercept that is the same. C. They have the same [tex]$y$[/tex]-intercept. D. They have the same range.

📝 Answered - 36. What factor is common to all the expressions $x^2-x, 2 x^2+x-1$? A. $x$ B. $x-1$ C. $x+1$ D. No common factor

📝 Answered - A quality assurance engineer randomly checks manufactured parts to ensure that they are within 0.002 mm of the desired specifications. If the desired length of the part is 3 mm, then the compound inequality $-0.002 \leq x-3 \leq 0.002$ represents the acceptable lengths. Choose the absolute value inequality that represents the situation. $|x-3| \leq 0.002$ $|x-3| \geq 0.002$ $|x-0.002| \leq 3$ $|x-0.002| \geq 3$

📝 Answered - Combine and simplify the following radical expression: $(2 \sqrt[3]{12})(3 \sqrt[3]{2})$

📝 Answered - A ship sails 9 km from point Apapa to Bar Beach on a bearing of $[tex]138^{\circ}$[/tex]. It then changes its course and moves due west until it reaches CMS, which is south of Apapa. Calculate the distance between Bar-Beach and CMS. [Take; $[tex]\operatorname{Sin} 42^{\circ}=0.6991[/tex], $[tex]\operatorname{Cos} 42^{\circ}=0.7431[/tex], $[tex]\tan 42^{\circ}=0.9004[/tex] $[tex]\left.\operatorname{Cos} 48^{\circ}=0.6691\right][/tex]

📝 Answered - What is the value of [tex]$\frac{3^m+3^{m+1}}{3^{m+3}-3^{m+1}}$[/tex]? A) 0 B) [tex]$\frac{1}{6}$[/tex] C) [tex]$\frac{1}{12}$[/tex] What is the median of 9, 5, 7, 11, 13, 3?

📝 Answered - Simplify: $14^3+1.4^2+2.9^0$ A. $2,746.96$ B. $2,748.3$ C. $2,747.9$ D. $2,748.86$

📝 Answered - What are the solutions of the equation [tex]$9 x^4-2 x^2-7=0$[/tex]? Use [tex]$u$[/tex] substitution to solve. A. [tex]$x= \pm \sqrt{\frac{7}{9}}$[/tex] and [tex]$x= \pm 1$[/tex] B. [tex]$x= \pm \sqrt{\frac{7}{9}}$[/tex] and [tex]$x= \pm i$[/tex] C. [tex]$x= \pm i \sqrt{\frac{7}{9}}$[/tex] and [tex]$x= \pm 1$[/tex] D. [tex]$x= \pm i \sqrt{\frac{7}{9}}$[/tex] and [tex]$x= \pm i$[/tex]