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Questions in mathematics

[Answered] Find the critical value z_c necessary to form a confidence interval at the level of confidence c = 0.92.

[Answered] What are the solutions of the equation $(x+2)^2-2(x+2)-15=0$ ? Use $u$ substitution to solve. A. $x=-7$ and $x=1$ B. $x=-5$ and $x=3$ C. $x=-3$ and $x=5$ D. $x=-1$ and $x=7$

[Answered] Which function is the inverse of [tex]f(x)=2 x+3[/tex]? [tex]f^{-1}(x)=-\frac{1}{2} x-\frac{3}{2}[/tex] [tex]f^{-1}(x)=\frac{1}{2} x-\frac{3}{2}[/tex] [tex]f^{-1}(x)=-2 x+3[/tex] [tex]f^{-1}(x)=2 x+3[/tex]

[Answered] A solid oblique pyramid has an equilateral triangle as a base with an edge length of [tex]$4 \sqrt{3} cm$[/tex] and an area of [tex]$12 \sqrt{3} cm ^2$[/tex]. What is the volume of the pyramid? A. [tex]$12 \sqrt{3} cm^3$[/tex] B. [tex]$16 \sqrt{3} cm^3$[/tex] C. [tex]$24 \sqrt{3} cm^3$[/tex] D. [tex]$32 \sqrt{3} cm^3$[/tex]

[Answered] $\frac{13.2+8.9}{2.3^2}$ Write down your full calculator display. Write your answer to 2 significant figures.

[Answered] Find the equation of the line specified. The slope is -7, and it passes through $(5,-3)$. a. $y=-7 x-3$ b. $y=-7 x+32$ c. $y=-14 x+32$ d. $y=-7 x-38$

[Answered] Kenneth's Monthly Budget Which two categories combined make up 55% of the budget? A. Housing and Food B. Food and Transportation C. Transportation and Healthcare D. Housing and Entertainment

[Answered] Write an equivalent expression by distributing the "-" sign outside the parentheses: $-(4.4 u-5 v)+3$

[Answered] Operate the simplification steps for the expression below using the properties of rational exponents. $\sqrt[4]{567 x^9 y^{11}}$ | | | | ------------------------------------- | - | | $\left(56 b^9 y^{11}\right)^{\frac{1}{6}}$ | | | $3^1 \cdot 7^{\frac{1}{4}} \cdot x^2 \cdot x^{\frac{1}{4}} \cdot y^2 \cdot y^{\frac{3}{4}}$ | | | $(81)^{\frac{1}{4}} \cdot(7)^{\frac{1}{4}} \cdot x^{\left(\frac{3}{4}+\frac{1}{4}\right)} \cdot y^{\left(\frac{3}{4}+\frac{3}{4}\right)}$ | | | $(81 \cdot 7)^{\frac{1}{2}} \cdot x^{\frac{2}{4}} \cdot y^{\frac{11}{4}}$ | | | $3 x^2 y^2 \sqrt[4]{7 x y^3}$ | | | $3 x^2 y^2 \cdot\left(7 x y^3\right)^{\frac{1}{6}}$ | | | $3 \cdot x^2 \cdot y^2 \cdot\left(7^{\frac{1}{4}} \cdot x^{\frac{1}{4}} \cdot y^{\frac{3}{4}}\right)$ | | | $\left(3^4\right)^{\frac{1}{4}} \cdot 7^{\frac{1}{4}} \cdot x^{\left(2+\frac{1}{4}\right)} \cdot y^{\left(2+\frac{1}{4}\right)}$ | 1 | | | |

[Answered] $32 x-4=4 x^2+60$ For the equation shown, choose the description of the solutions. A. One real, rational B. Two real, rational C. Two real, irrational D. Two complex