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Questions in mathematics

📝 Answered - Rewrite the following expression with positive exponents. $(24 x y)^{-\frac{3}{4}}$ Choose the correct equivalent expression. A. $(24 x y)^{-\frac{3}{4}}=\frac{1}{(24 x y)^{\frac{4}{3}}}$ B. $(24 x y)^{-\frac{3}{4}}=\frac{1}{(24 x y)^{\frac{3}{4}}}$ C. $(24 x y)^{-\frac{3}{4}}=(24 x y)^{\frac{4}{3}}$ D. $(24 x y)^{-\frac{3}{4}}=-(24 x y)^{\frac{3}{4}}$

📝 Answered - \frac{2}{1 + a} + \frac{1}{a - 1} + \frac{3a}{1 - a^2} + \frac{a}{1 + a^3}

📝 Answered - Short simple statement about their everyday life. Data downloaded on 2/19/2020 from hitps://ourworldindata.org/grapher/iteracy-rate-adults?tab=chart&time=1973..2016. | Year | 1976 | 2001 | 2012 | | ---- | --------- | --------- | --------- | | Literacy Rate | $63.2 \%$ | $86.7 \%$ | $94.5 \%$ | When answering the questions below, round to four decimal places in your intermediate computations. Use interpolation or extrapolation (whichever is appropriate) to predict the literacy rate in Bolivia in 1992. Round your answer to one decimal place. Use interpolation or extrapolation (whichever is appropriate) to predict the literacy rate in Bolivia in 2050. Round your answer to one decimal place. Is your 2050 prediction realistic? You must select all correct responses at the same time to receive credit for this problem. A. Yes, the 2050 prediction is realistic because it was made using a mathematical formula. B. Yes, the 2050 prediction is realistic because it is possible for a literacy rate to exceed $100 \%$. C. No, the 2050 prediction is not realistic because the literacy rate cannot exceed $100 \%$. D. No, the 2050 prediction is not realistic because the literacy rate will not grow at the exact same rate for more than 40 years.

📝 Answered - Chloe needs to buy ingredients for her baking business. Flour bags cost $3 each and sugar bags cost $2 each. She has $25 to spend this week on these ingredients. Write an inequality that represents the given situation. $3 f+2 s \leq 25$ $8 f+5 s \geq 25$ $3 f+2 s>25$ $2 f+3 s \leq 65$

📝 Answered - Which means '[tex]$p$[/tex] decreased by 75'? A. [tex]$p \div 75$[/tex] B. [tex]$75-p$[/tex] C. [tex]$P-75$[/tex] D. [tex]$75+p$[/tex]

📝 Answered - Which represents the reflection of [tex]f(x)=\sqrt{x}[/tex] over the [tex]x[/tex]-axis?

📝 Answered - Use a change of base formula to evaluate the logarithm. Give your answer rounded to four decimal places. [tex]log _3 \sqrt{3}[/tex] [tex]log _3 \sqrt{3}=\square[/tex] (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.)

📝 Answered - What is the value of $\log 20 \cdot \log 5$?

📝 Answered - Which statement is false concerning data visualization? A. It should always include the line of best fit. B. It ensures the data is accurately represented. C. It makes the data more visually appealing. D. It makes the data more easily understood by the audience.

📝 Answered - Simplify the complex fraction. $\frac{\frac{1}{2}+\frac{1}{4}}{\frac{1}{8}-\frac{3}{7}}$