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Questions in Grade High-school

📝 Answered - For every 3 cats there are 5 dogs at a local animal shelter. How many dogs are there if there are 42 cats?

📝 Answered - Try solving this by hand. Then check your answer with the calculator using store a value, test. [tex]5 x-3(x-7)=6-9(x+3)[/tex]

📝 Answered - Calculate the amount of heat released when [tex]$27.0 g H _2 O$[/tex] is cooled from a liquid at 314 K to a solid at 263 K. The melting point of [tex]$H _2 O$[/tex] is 273 K. Using the chart below, complete the steps to calculate the overall heat released in the process. Type in your answers using 3 digits on the right. [tex]\begin{tabular}{|l|l|l|l|}\hline $\Delta T ( K )$ & Phase Change & Constant & Formula \\\hline $314 \rightarrow 273$ & Cool liquid & $C_{\text {p, lquid }}=4.184 J / g \cdot K$ & $q _1= cm \Delta T$ \\\hline 273 & Freeze liquid & $\Delta H_{\text {fusion }}=6.01 kJ / mol$ & $q _2= n \Delta H _{\text {fus }}$ \\\hline $273 \rightarrow 263$ & Cool solid & $C_{ p , \text { soluc }}=2.093 J / g \cdot K$ & $q _3= cm \Delta T$ \\\hline $314 \rightarrow 263$ & Liq $\rightarrow$ Sol & & $q_{\text {rot }}=q_1+q_2+q_3$ \\\hline\end{tabular}[/tex] [tex]\begin{array}{l} q_1=\square kJ \ q_2=\square kJ \ q_3=\square kJ \ q_4=\square kJ\n\end{array}[/tex]

📝 Answered - Solve the equation for x. [tex]2(x-6)+7=-5[/tex] [tex]x=[/tex] $\square$ (Type an integer or a fraction. Simplify your answer.)

📝 Answered - Add. $-\frac{5 t+2 v}{3 t}+\frac{4 t-3 v}{3 t}$ Simplify your answer as much as possible.

📝 Answered - Describe the dilation that occurs when transforming the graph [tex]y=x^2[/tex] into the graph [tex]y+7=2(x-4)^2[/tex].

📝 Answered - Simplify the following algebraic expression: [tex]4(3 x+3)+5(5 x+6)=[/tex]

📝 Answered - 18. $-5 x^2+31 x-6$ 20. $9 x^2-64$

📝 Answered - Combine like terms: [tex]$3 y^2+3 y^2-3 x^2$[/tex]

📝 Answered - Select the equation that is the inverse of the given function. [tex]f(x)=\frac{x-3}{5}[/tex] A. [tex]f^{-1}(x)=5 x+15[/tex] B. [tex]f^{-1}(x)=5 x+3[/tex] C. [tex]f^{-1}(x)=3 x-5[/tex] D. [tex]f^{-1}(x)=-\frac{5}{3} x[/tex]