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Questions in mathematics

📝 Answered - What will the first step look like for the substitution problem: $\begin{array}{l} y=2 x \ x+y=9 \end{array}$ A. $2 y+y=9$ B. $y+2 x+x+y=9$ C. $y=2 x+9$ D. $x+2 x=9$

📝 Answered - Solve the inequality. Express your answer using interval notation. Graph the solution set [tex]$\frac{x}{3} \geq 3-\frac{x}{9}$[/tex]

📝 Answered - Find the simplified product: [tex]2 \sqrt{5 x^3}\left(-3 \sqrt{10 x^2}\right)[/tex]

📝 Answered - Which expressions can be used to find -m? Select two options. [tex]\cos ^{-1}\left(\frac{9.8}{6.3}\right)[/tex] [tex]\cos ^{-1}\left(\frac{6.3}{9.8}\right)[/tex] [tex]\cos ^{-1}\left(\frac{7.5}{9.8}\right)[/tex] [tex]\sin ^{-1}\left(\frac{9.8}{7.5}\right)[/tex] [tex]\sin ^{-1}\left(\frac{7.5}{9.8}\right)[/tex]

📝 Answered - What is the solution set to the rational equation $\frac{3}{x}+\frac{5}{x+2}=2$?

📝 Answered - Evaluate the integral. Give result in exact form. [tex]\int_{\frac{\pi}{2}}^{\frac{5 \pi}{6}}(11 \cos (x)+3) d x=[/tex]

📝 Answered - The table shows a schedule of Inga's payment plan for a car. | Year | Balance | Monthly Payment | End of Year Balance | |---|---|---|---| | 1 | $19,691.28 | $273.49 | $16,409.40 | | 2 | $16,409.40 | $273.49 | $13,127.52 | | 3 | $13,127.52 | $273.49 | $9,845.64 | How many more years will it take Inga to pay off the loan?

📝 Answered - Insert terms in the arithmetic sequence: 1. 17 and 5 2. 4 and 24 3. -1, 12, 16 4. 1, 3, 1, -1, -1, -17

📝 Answered - Find the 44th term of this arithmetic sequence. [tex]$\begin{array}{c} 2,7,12,17,22, \ldots \ a_{44}=[?]\end{array}$[/tex] Hint: [tex]$a_n=a_1+(n-1) d$[/tex]

📝 Answered - In triangle ABC, m∠B = 90°, cos(C) = 16/17, and BC = 30 units. Based on this information, m∠A = ___°, m∠C = ___°, and AB = ___ units. Note that the angle measures are rounded to the nearest degree. Hint: First solve for m∠C by using the cosine equation given.