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Questions in mathematics

[Jawaban] Three museums charge an entrance fee based on the number of visitors in the group. The table lists the fees charged by the museums. At which museum is the entrance fee proportional to the number of visitors? \begin{tabular}{|r|r|r|r|r|r|} \hline \multicolumn{2}{|c|}{ Museum A } & \multicolumn{2}{c|}{ Museum B } & \multicolumn{2}{c|}{ Museum C } \\ \hline Visitors & Fee ($) & Visitors & Fee ($) & Visitors & Fee ($) \\ \hline 2 & 4 & 1 & 2 & 3 & 4 \\ \hline 3 & 5 & 4 & 8 & 12 & 16 \\ \hline 4 & 6 & 6 & 11 & 18 & 24 \\ \hline \end{tabular} A. museum $A$ B. museum B C. museum C D. museum $A$ and museum $B$

[Jawaban] Find the sum or difference of the following monomials: 1. 2x + (-5x) 2. -2a² - (-6a²) 3. y + (-y) 4. -9x²y³ - (-9x²y³) 5. 12ab² - ab² 6. -16mn³ + (-12mn³) 7. 10a²b³ - (-8a²b³) + a²b³ 8. 7xy + 4xy - (-21xy) 9. -8m²n² + 7m²n² - 15m²n² 10. -b²c³ + (-b²c³) - (-b²c³)

[Jawaban] Graph the function. $h(x)=-\frac{1}{3} x^2+2 x-4$

[Jawaban] Which fraction is equivalent to $\frac{2}{6}$? A. $\frac{3}{7}$, because $\frac{2}{6}=\frac{2+1}{6+1}=\frac{3}{7}$ B. $\frac{3}{9}$, because $\frac{2}{6}=\frac{1}{3}$ and $\frac{1}{3}=\frac{3}{9}$ C. $\frac{3}{12}$, because $\frac{2}{6}=\frac{1}{3}$ and $\frac{1}{3}=\frac{3}{12}$ D. $\frac{3}{8}$, because $\frac{2}{6}=\frac{1}{2}=\frac{2+1}{6+2}=\frac{3}{8}$

[Jawaban] $(1011)_{10} = (\,)_{2}

[Jawaban] The ratio $60: 48$ in its simplest form is

[Jawaban] Which is the logarithmic form of [tex]$6^4=1296$[/tex]? [tex]$\log 1296=4$[/tex] [tex]$\log 1296=4 \bullet 6$[/tex] [tex]$\log _4 1296=6$[/tex] [tex]$\log _6 1296=4$[/tex]

[Jawaban] Match the following to the second part of the proportion based on the picture. [tex]\begin{array}{c|c|c|c} \frac{15}{18}= & \frac{8}{2 x-17}= & \frac{15}{2 x-17}= \\ \frac{2 x-17}{6} & \frac{18}{6} & \frac{24}{15} \end{array}[/tex]

[Jawaban] $(0.6 \div 0.3)-0.5-0.2+0.3=$ A. 2.4 B. 2.0 C. 1.6 D. 3.0 E. None of these

[Jawaban] What does [tex]$\frac{3!}{3!}$[/tex] equal? A. 1 B. [tex]$\frac{3 \times 2 \times 1}{2 \times 1}$[/tex] C. 3 D. 6