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Questions in mathematics

[Done] Which of the following is a simplification of $\sqrt{-169}$? A. $-13$ B. $-13 i$ C. $13$ D. $13 i$

[Done] What is the equation of a line that passes through $(8,-5)$ and is parallel to the graphed line? A. $y=\frac{3}{4} x+1$ B. $y=\frac{3}{4} x-11$

[Done] Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum distances that the dog may be from the house can be found using the equation $|x-500|=8$. What are the minimum and maximum distances that Morgan's dog may be from the house? A. 496 meters and 500 meters B. 500 meters and 508 meters C. 492 meters and 508 meters

[Done] Question 21 (5 points) Listen By converting to an exponential expression, solve $\log _2(x+5)=4$ $x=-6$ $x=16$ $x=11$ $x=5$ Question 22 (5 points) Listen Is $x=0$ a valid potential solution to the equation $\log (x+2)+\log (x+5)=1$ ?

[Done] Refer to the table of body temperatures (degrees Fahrenheit). Is there some meaningful way in which each body temperature recorded at 8 AM is matched with the 12 AM temperature? \begin{tabular}{|l|c|c|c|c|c|} \hline & \multicolumn{5}{|c|}{ Subject } \\ \hline & 1 & 2 & 3 & 4 & 5 \\ \hline 8 AM & 97.0 & 98.5 & 97.6 & 97.7 & 98.7 \\ \hline 12 AM & 97.6 & 97.8 & 98.0 & 98.4 & 98.4 \\ \hline \end{tabular} A. No. The 8 AM temperature are from one individual over five days and the 12 AM temperatures are from another individual over five days. B. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from a different individual on the same five days, so each pair is matched. C. Yes. Each column of 8 AM and 12 AM temperatures is recorded from the same subject, so each pair is matched. D. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from the same individual on the same five days, so each pair is matched.

[Done] What is the solution to this system of equations? $\begin{array}{l} 3 x+2 y=10 \\ 2 x+4 y=4 \end{array}$ A. $(4,-1)$ B. $(4,1)$ C. $(1,2)$ D. $(-4,3)$

[Done] $\frac{2 \cdot 5-r}{4}=\frac{1}{r}$

[Done] 13. Find the domain of [tex]f(x)=\sqrt{4-x^2}[/tex]. A. (-2,2) B. [-2,2] C. (-2,2) D. [-2,2] 14. Find the domain of [tex]f(x)=\frac{5}{x^2-9}[/tex]. A. [tex]R \{9\}[/tex] B. [tex]R \{-3,3\}[/tex] C. [tex]R \{3\}[/tex] D. [tex]R \{-9\}[/tex] 15. The domain of [tex]f(x)=x^2 \ln x[/tex] is A. [tex](-\infty, \infty)[/tex] B. [tex](1, \infty)[/tex] C. [tex](0,1)[/tex] D. [tex](0, \infty)[/tex]. 16. Find the domain of [tex]\sqrt{4-7 t}[/tex]. A. [tex][0, \infty)[/tex] B. [tex]\frac{7}{4}[/tex] C. [tex](-\infty, \frac{7}{4}][/tex] D. [tex](\frac{7}{4}, \infty)[/tex]. 17. Let [tex]f: R \rightarrow R[/tex] be defined by [tex]f(x)=\frac{5}{x^2-1}[/tex]. Find the domain of [tex]f[/tex]. A. [tex]R \{4\}[/tex] B. [tex]R \{2\}[/tex] C. [tex]R \{-4\}[/tex] D. [tex]R \{-2,2\}[/tex]. 18. Find the inverse [tex]g^{-1}(x)[/tex] of [tex]g(x)=\sqrt{x-3}[/tex] A. [tex](x-3)^2[/tex] B. [tex]x^2+3[/tex] C. [tex]x^2-3[/tex] D. [tex]\frac{1}{x-3}[/tex].

[Done] Example 3: The length of each side of square A is 4 cm. The perimeter of square B is twice the perimeter of square A. Find the length of each side of square B. Length of each side of square A = 4 cm Perimeter of square A = 4 + 4 + 4 + 4 = 16 cm Perimeter of square B = 2 × perimeter of square A = 2 × 16 = 32 cm Perimeter of square B = side + side + side + side So, 32 cm ÷ 4 = 8 cm Therefore, each side of square B is 8 cm.

[Done] What is the standard form of the equation of a circle given by [tex]x^2+y^2-18 x+8 y+5=0[/tex]?