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Questions in mathematics

[Answered] Bree travels from her house to the library at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total travel time is 2 hours. Which equation can be used to find the distance in miles from Bree's house to the library? | | Distance (mi) | Rate (mph) | Time (hr) | | :---------------- | :------------ | :--------- | :-------- | | Trip to Library | $x$ | 6 mph | $\frac{x}{6}$ | | Trip to Home | $x$ | 12 mph | $\frac{x}{12}$ | A. $\frac{x}{6}+\frac{x}{12}=2$ B. $(\frac{x}{6})(\frac{x}{12})=2$ C. $6+12=x$ D. $(6)(12)=x$

[Answered] [tex]$4^{-3} \cdot 4^{11}$[/tex]

[Answered] Use integration by parts to evaluate the definite integral: [tex]$\int_0^1 2 s e^{-5 s} d s=\square$[/tex]

[Answered] 6) $(m-2)-5=8-2(m-4)$

[Answered] Simplify: [tex]$\frac{x^2+9 x+20}{x^2+x-20}$[/tex]

[Answered] Which is the graph of the equation $y-1=\frac{2}{3}(x-3)$?

[Answered] Use the table to add $168+342$ vertically. The top row will be for regrouping (numbers that are "carried"). The bottom row will be for your answer. The addends have already been filled in for you. \begin{tabular}{|l|l|l|l|} \hline \multirow[b]{5}{*}{Regrouping First Addend Second Addend Sum} & Hundreds & Tens & Ones \\ \hline & $\square$ & $\square$ & $\square$ \\ \hline & 1 & 6 & 8 \\ \hline & 3 & 4 & 2 \\ \hline & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}

[Answered] The U.S. produces $5.39 \times 10^7$ metric tons of wheat each year. Express that number in standard notation. A. 5.390 B. $53,900,000$ C. $5,390,000,000$ D. $539,000,000,000

[Answered] The formula [tex]$s=\sqrt{18 d}$[/tex] can be used to find the speed [tex]$s$[/tex] of a car in miles per hour when the car needs [tex]$d$[/tex] feet to come to a complete stop after stepping on the brakes. If it took a car 25 feet to come to a complete stop after stepping on the brakes, estimate the speed of the car. Estimate the value of [tex]$\sqrt{18 d}$[/tex], when [tex]$d=25$[/tex], to the tenths place.

[Answered] Find the simple interest. What was the rate of interest? In how many years will the principal and interest be equal? Rs 1800 was given as a loan to Suresh at a simple rate of interest for 2 years. He paid a total of Rs 2232. Express in terms of [tex]I, T[/tex] and R, where the symbols have their usual meaning. Find the simple interest. At what rate of interest had [tex]R[/tex] been given the loan? In how many years will the principal and interest be equal? Ans: (a) [tex]P=\frac{1 \times 1}{T \times}[/tex]