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Questions in mathematics

📝 Answered - Convert the decimal $0 . \overline{27}$ to a fraction.

📝 Answered - Solve $x^4-3 x^3+4 x^2-3 x+1=0$

📝 Answered - Recall the formula for the volume of a cube: [tex]V=s^3[/tex]. The side length, s, can be found using the equation [tex]3 s=729[/tex]. Which of the following statements are true? A. This is a perfect cube. B. The side length is 243 centimeters. C. The side length is 9 centimeters. D. Taking the cube root of the volume will determine the side length. E. If you multiply the volume by three, you can determine the side length.

📝 Answered - Give the slope and $y$-intercept of the line whose equation is given. Then graph the linear function. $y=-3 x+1$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is $\square$ . (Simplify your answer Type an integer or a fraction.) B. The slope is undefined.

📝 Answered - Calculate $7 \frac{1}{4} \% \operatorname{tax}$ on $1,540. a. $11.17 b. $109.34 c. $111.65 d. $113.96

📝 Answered - $f(x)=x^6-4 x^4+3 x^2-10$

📝 Answered - If $4 x-2 y=4$ and $x y=\frac{6}{4}$, then find the value of $x^3-\frac{y^3}{8}$

📝 Answered - Find the zeros of the following expressions: 1) 2t² - 50 2) 3u² - 12

📝 Answered - 38. Write in figures nine thousand, two hundred and four. 39. Write in figures five thousand and seventy-five. 40. The TV programme lasted 138 minutes, which is ______ min to the nearest 10 min.

📝 Answered - Select the correct answer. What is the zero of function [tex]$f$[/tex]? [tex]$f(x)=7 \sqrt[3]{x+12}-21$[/tex] A. [tex]$x=0$[/tex] B. [tex]$x=15$[/tex] C. [tex]$x=-5$[/tex] D. [tex]$x=-12$[/tex]