Questions in mathematics

Questions in mathematics

📝 Answered - $\frac{7}{8}$ de 580

📝 Answered - Which statement proves that parallelogram KLMN is a rhombus? The midpoint of both diagonals is $(4,4)$. The length of $\overline{ KM }$ is $\sqrt{72}$ and the length of $\overline{ NL }$ is $\sqrt{8}$. The slopes of $\overline{ LM }$ and $\overline{ KN }$ are both $\frac{1}{2}$ and $NK = ML$ =$\sqrt{20}$. The slope of $\overline{ KM }$ is 1 and the slope of $\overline{ NL }$ is -1.

📝 Answered - The domain for [tex]$f(x)$[/tex] and [tex]$g(x)$[/tex] is the set of all real numbers. Let [tex]$f(x)=2 x^2+x-3$[/tex] and [tex]$g(x)=x+2$[/tex] Find [tex]$(f \cdot g)(x)$[/tex].

📝 Answered - Divide the polynomials. The form of your answer should either be $p(x)$ or $p(x)+\frac{k}{x+3}$ where $p(x)$ is a polynomial and $k$ is an integer. $\frac{2 x^3-x^2-25 x-12}{x+3}=$

📝 Answered - A square and a triangle have equal perimeters. The square has a perimeter of $4(2 p-4)$, and the triangle has a perimeter of $4 p+36$. Find the perimeter value.

📝 Answered - Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. | | Democrat | Republican | Total | | --------- | -------- | ---------- | ----- | | County 1 | 4,050 | 2,470 | 6,520 | | County 2 | 3,925 | 6,010 | 9,935 | | County 3 | 2,100 | 5,950 | 8,050 | | Total | 10,075 | 14,430 | 24,505| Find the following relative frequencies to the nearest tenth of a percent. Republican residents of County 1: $\square$ Democratic residents of County 1: $\square$ Total Republican residents: $\square$ Total Democratic residents: $\square$

📝 Answered - Which statement is true? A. [tex]$y=\log _{10} x$[/tex] is not a logarithmic function because the base is greater than 0. B. [tex]$y=\log _{\sqrt{3}} x$[/tex] is not a logarithmic function because the base is a square root. C. [tex]$y=\log _1 x$[/tex] is not a logarithmic function because the base is equal to 1. D. [tex]$y=\log _{\frac{3}{4}} x$[/tex] is not a logarithmic function because the base is a fraction.

📝 Answered - Approximate the number using a calculator. [tex]$6^{1.4}$[/tex] [tex]$6^{1.4} \approx$[/tex] (Round to three decimal places.)

📝 Answered - f) [tex]\frac{\left(\frac{2}{5}\right)^{-2}}{\left(\frac{5}{2}\right)\left(\frac{5}{2}\right)} \times 2[/tex] R. [tex]\frac{1}{4}[/tex] g) [tex]\frac{25^{-1}}{5^{-2}} \div \frac{0,05^{-2}}{0,1^{-3}} \mu c+[/tex] E. 1

📝 Answered - Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be used. Consider the two exponential equations shown. Identify the attributes for each equation to complete the table. 8. 9% 9. 40 10. 250 11. Growth 12. 89 % 13. 111% 14. Decay 15. 11% | | | | :---------------------------- | :----------------------------- | | [tex]$40=250(0.89)^x$[/tex] | [tex]$250=40(1.11)^T$[/tex] | | Initial Value: | Initial Value: | | Growth or Decay: | Growth or Decay: | | Growth/Decay Rate: | Growth/Decay Rate: |