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Questions in mathematics

[Done] \(\left(\frac{5}{9}\right)^2\)

[Done] Which values of [tex]$p$[/tex] and [tex]$q$[/tex] would make the value of the following expression equal to [tex]$58 i$[/tex]? [tex]$(3-7 i)(p+q i) i$[/tex] A. [tex]$p=3, q=7$[/tex] B. [tex]$p=-3, q=7$[/tex] C. [tex]$p=3, q=-7$[/tex] D. [tex]$p=-3, q=-7$[/tex]

[Done] Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ( \$2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06). Use the following table to answer each question. Monthly Water Bills \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Jan & Feb & Mar & Apr & May & June & July & Aug & Sept & Oct & Nov & Dec \\ \hline $x_1$ & $x_2$ & $x_3$ & $x_4$ & $x_5$ & $x_6$ & $x_7$ & $x_8$ & $x_9$ & $x_{10}$ & $x_{11}$ & $x_{12}$ \\ \hline \$40 & \$42 & \$40 & \$38 & \$48 & \$50 & \$58 & \$62 & \$56 & \$46 & \$44 & \$44 \\ \hline \end{tabular} 6. Using sigma notation find the mean water bill for the entire year. Round your answer to the nearest cent. 7. Using sigma notation find the mean water bill for the first 6 months of the year. Round your answer to the nearest cent. 8. Using sigma notation find the mean water bill from April through November. Round your answer to the nearest cent.

[Done] Find the quotient and write it in lowest terms. $\frac{15}{7} \div \frac{5}{14}$

[Done] Julian is trying to decide on a future career. He has narrowed down his choices to orthodontist, sound engineering technician, police officer, or editor. The following table represents the total employment numbers for 2006 and projected employment numbers for 2016. \begin{tabular}{|l|l|l|l|l|} \hline & Orthodontist & Sound engineer technician & Police officer & Editor \\ \hline 2006 & 9,206 & 16,125 & 648,982 & 122,273 \\ \hline 2016 & 10,214 & 17,864 & 719,041 & 124,135 \\ \hline & & & & \\ \hline \end{tabular} Which profession is projected to have the greatest percent of increase in the number of jobs from 2006 to 2016? A. Orthodontist B. Sound engineer technician C. Police officer D. Editor

[Done] The table below shows the relationship between the number of neon tetras and snails in a fish tank. \begin{tabular}{|c|c|c|c|c|} \hline \begin{tabular}{c} Neon \\ Tetras \end{tabular} & 12 & 24 & 36 & 48 \\ \hline Snails & 3 & 6 & 9 & 12 \\ \hline \end{tabular} In a complete sentence, explain how the amounts of neon tetras and snails are related to each other.

[Done] $(-8 x^3 y^{10})^4$

[Done] 5,260 feet. Step 3: What factor is used to convert miles per minute to miles per hour?

[Done] What is the factored form of the function [tex]$f(x)=x^3+7 x^2+8 x-16$[/tex]? Enter your answer by filling in the boxes. [tex]$f(x)=(\square)(\square)(\square)$[/tex]

[Done] Again, the quarterback throws the football, but this time the model [tex]y=-16 x^2+35 x+6.5[/tex] describes the height ([tex]y[/tex]), in feet, of the football [tex]x[/tex] seconds after it is thrown. If the ball is not caught, how long will it be in the air? [tex] \begin{array}{l} 0=-16 x^2+35 x+6.5 \\ x=\frac{-35 \pm \sqrt{35^2-4(-16)(6.5)}}{2(-16)} \end{array} [/tex] Rounded to the nearest tenth, the solutions of the equation are $\square$