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Questions in mathematics

📝 Answered - $2(\log _3 x-1)=\log _3 x$ and $y=\sqrt{x}+1$

📝 Answered - Given [tex]log _4 3 \approx 0.792[/tex] and [tex]log _4 21 \approx 2.196[/tex], what is [tex]log _4 7[/tex]?

📝 Answered - Solve the inequality $0>-3x-2x$ A) $x>-36$ B) $x>-28$ C) $x>0$ D) $x>1$

📝 Answered - Use the remainder theorem to find [tex]$k=2 ; P(x)=x^3+5 x^2+2 x-5$[/tex]

📝 Answered - $32^4+33^{2^2}-3^{3^{2^{5^1}}}$

📝 Answered - Simplify the following expression completely: [tex]$\frac{x^6 y^4}{x y^2}$[/tex]

📝 Answered - Giselle used the table to predict the cost of one year of college. | Category | Estimated Cost 2017-2018 | | -------- | ------------------------ | | tuition | $12,450 | | room and board | $10,125 | | transportation | $2,600 | | books and fees | $2,250 | | other | $1,250 | Giselle predicts that she will receive a grant for $4,000. If she has 4 years in which to save, what is the minimum monthly amount she should deposit in an interest-bearing savings account to be able to pay her contribution for one year of college? A. $400 B. $500 C. $600 D. $700

📝 Answered - Brian visited a mountain park with trails for hiking, mountain biking, horseback riding, and cross-country skiing. The chart shows the time Brian spent doing each activity. | | | | :-------------------- | :-------------------- | | **Brian's Activity Time (hours)** | | | Hiking | 3 | | Mountain Biking | 1.45 | | Horseback Riding | 1.2 | | Cross-Country Skiing | 0.75 | Brian biked the yellow trail loop that circles the park. He rode at an average speed of 12.2 miles per hour. How many miles did Brian bike? 12. 2 \times 1.45 610 4880 +(\square) Brian biked a distance of $\square$ miles.

📝 Answered - What is the solution to the inequality [tex]x^2\ \textgreater \ -9 x-18[/tex]? A) [tex]x\ \textless \ -6[/tex] and [tex]x\ \textgreater \ -3[/tex] B) [tex]-6\ \textless \ x\ \textless \ -3[/tex] C) [tex]x \leq-6[/tex] and [tex]x \geq-3[/tex] D) [tex]x\ \textless \ -6[/tex] or [tex]x\ \textgreater \ -3[/tex]

📝 Answered - Convert the following number into correct scientific notation. [tex]$\begin{array}{c} 94 \times 10^3 \\ {[?] \times 10^{[?]}} \end{array}$[/tex] Enter the coefficient in the green box and the exponent in the yellow box.