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Questions in mathematics

[Done] $\int_0^1 \sqrt[3]{1+7 x} d x$

[Done] Write the equations of the horizontal and vertical lines through the given point. $(1,-2)$ Choose the correct equation for the horizontal line through the point. A. $x=1$ B. $y=-2$ C. $x=-2$ D. $y=1$

[Done] -80% + [tex]\frac{54}{50}[/tex] - 0.25 = [ ] Enter the answer as an exact decimal or simplified fraction.

[Done] Find each sum or difference. 1. $1.546+0.07$

[Done] The circumference of a circular wall around a fountain is 5.65 m, and the diameter of the wall is 1.8 meters.

[Done] The relationship between voltage, [tex]$E$[/tex], current, [tex]$l$[/tex], and resistance, [tex]$Z$[/tex], is given by the equation [tex]$E=I Z$[/tex]. If a circuit has a current [tex]$I=3+2 i$[/tex] and a resistance [tex]$Z=2-i$[/tex], what is the voltage of the circuit?

[Done] Given [tex]w=\sqrt{2}\left(\cos \left(\frac{\pi}{4}\right)+i \sin \left(\frac{\pi}{4}\right)\right)[/tex] and [tex]z=2\left(\cos \left(\frac{\pi}{2}\right)+i \sin \left(\frac{\pi}{2}\right)\right)[/tex], what is [tex]w-z[/tex] expressed in polar form? A. [tex]\sqrt{2}\left(\cos \left(\frac{\pi}{4}\right)+i \sin \left(\frac{\pi}{4}\right)\right)[/tex] B. [tex]\sqrt{2}\left(\cos \left(\frac{3 \pi}{4}\right)+i \sin \left(\frac{3 \pi}{4}\right)\right)[/tex] C. [tex]\sqrt{2}\left(\cos \left(\frac{5 \pi}{4}\right)+i \sin \left(\frac{5 \pi}{4}\right)\right)[/tex] D. [tex]\sqrt{2}\left(\cos \left(\frac{7 \pi}{4}\right)+i \sin \left(\frac{7 \pi}{4}\right)\right)[/tex]

[Done] Solve and check: $\frac{1}{x+3}=\frac{x+10}{x-2}$ From least to greatest, the solutions are $x=$ $\square$ and $x=$ $\square$ .

[Done] Exercise 8, answer the question. Which of these are true? Select all that apply. A. [tex]$0.3=\frac{1}{3}$[/tex] B. [tex]$0 \cdot \overline{6}=\frac{2}{3}$[/tex] C. [tex]$0.2=\frac{2}{9}$[/tex] D. [tex]$0 . \overline{4}=\frac{4}{9}$[/tex] E. [tex]$0.6=\frac{6}{9}$[/tex] F. [tex]$0.13=\frac{1}{3}$[/tex]

[Done] Select the correct answer. A company manufactures school desks. The table shows the number of units that the company sold each month over a nine-month period beginning in January. \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|} \hline Month, $x$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \ \hline Units, $y$ & 800 & 500 & 400 & 300 & 200 & 300 & 450 & 600 & 800 \ \hline \end{tabular} Which equation best models the situation? A. $y=34 x^2-334 x+1,075$ B. $y=-7 x+450$ C. $y=7 x+450$ D. $y=-34 x^2+334 x+1,075$