Questions in mathematics

Questions in mathematics

📝 Answered - LaTasha was presented with the following data set and argued that there was no correlation between [tex]$x$[/tex] and [tex]$y$[/tex]. Is LaTasha correct? Use the regression equation to explain your reasoning. | [tex]$x$[/tex] | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |---|---|---|---|---|---|---|---| | [tex]$y$[/tex] | 4 | 5 | 4 | 5 | 4 | 5 | 4 |

📝 Answered - Use a calculator to find the values of the inverse trigonometric functions. Round to the nearest degree. [tex] \begin{array}{l} sin ^{-1}\left(\frac{2}{3}\right)=\square^{\circ} \ tan ^{-1}(4)=\square^{\circ} \ \cos ^{-1}(0.1)=\square^{\circ} \end{array} [/tex]

📝 Answered - A cone has a height that measures $(x+2)$ centimeters and a volume of 48 cubic centimeters. Which expression represents the radius of the cone? $\sqrt{\frac{144}{\pi(x+2)}}$ $\frac{16}{\pi(x+2)}$ $\frac{144(x+2)}{\pi}$ $16 \pi(x+2)$

📝 Answered - Find the circumference of a circle with a radius of 6 units. Round your answer to two decimal places. A. 113.10 units B. 18.85 units C. 75.40 units D. 37.70 units

📝 Answered - What is $\frac{\left(x^2 y^2\right)^{\frac{1}{2}}}{\sqrt[3]{x^2 y}}$ in exponential form?

📝 Answered - Calculate the side lengths [tex]$a$[/tex] and [tex]$b$[/tex] to two decimal places. A. [tex]$a=15.09$[/tex] and [tex]$b=15.81$[/tex] B. [tex]$a=2.43$[/tex] and [tex]$b=2.55$[/tex] C. [tex]$a=15.81$[/tex] and [tex]$b=15.09$[/tex] D. [tex]$a=2.55$[/tex] and [tex]$b=2.43$[/tex] E. [tex]$a=15.09$[/tex] and [tex]$b=16.75$[/tex]

📝 Answered - What is the following sum? [tex]$5 x\left(\sqrt[3]{x^2 y}\right)+2\left(\sqrt[3]{x^5 y}\right)$[/tex]

📝 Answered - Let v = ⟨-10, 15⟩. What is the approximate direction angle of One-half v? A. 34° B. 56° C. 124° D. 304°

📝 Answered - What is the equation of the line that is parallel to the given line and has an $x$-intercept of -3? $y=\frac{2}{3} x+3$

📝 Answered - Which expression is equivalent to $\sqrt[3]{64 a^6 b^7 c^9}$? A. $2 a b c^2(\sqrt[3]{4 a^2 b^3 c})$ B. $4 a^2 b^2 c^3(\sqrt[3]{b})$ C. $8 a^3 b^3 c^4(\sqrt[3]{b c})$ D. $8 a^2 b^2 c^3(\sqrt[3]{b})$