Questions in mathematics

Questions in mathematics

📝 Answered - The speed, [tex]$s$[/tex], of the current in a certain whirlpool is modeled by [tex]$s=\frac{300}{d}$[/tex], where [tex]$d$[/tex] is the distance from the center of the whirlpool. Which statement is true? A. As you move closer to the center of the whirlpool, the speed of the current approaches 0. B. As you move closer to the center of the whirlpool, the speed of the current approaches 1. C. As you move closer to the center of the whirlpool, the speed of the current approaches infinity. D. As you move closer to the center of the whirlpool, the speed of the current approaches 300.

📝 Answered - $\int \frac{1}{(x+1)^2+4} d x=$ A. $\frac{1}{2} \arctan \left(\frac{x+1}{2}\right)+C$ B. $\frac{1}{4} \arctan (x+1)+C$ C. $\frac{1}{2} \arctan (1-x)+C$ D. $\frac{1}{4} \arctan \left(\frac{x+1}{4}\right)+C$ E. $\arctan \left(\frac{x+1}{2}\right)+C$

📝 Answered - \frac{2^4 \cdot 2^3 \cdot 2^5}{2^4 \cdot 2^3}

📝 Answered - Which line is perpendicular to a line that has a slope of [tex]$\frac{1}{2}$[/tex]? line AB line CD line FG line HJ

📝 Answered - What inequality is correct? $-9 \geq -9$ $13 \leq 8$ $-5>4$ $123>212$

📝 Answered - Use the compound-interest formula to find the account balance [tex]$A$[/tex], where [tex]$P$[/tex] is principal, [tex]$r$[/tex] is interest rate, [tex]$n$[/tex] is number of compounding periods per year, [tex]$t$[/tex] is time, in years, and [tex]$A$[/tex] is account balance. | [tex]$P$[/tex] | [tex]$r$[/tex] | compounded | [tex]$t$[/tex] | |---|---|---|---| | [tex]13,976$[/tex] | [tex]9.6 \%[/tex] | Daily | 5 | The account balance is approximately $ $\boxed{\phantom{0000}}$ (Simplify your answer. Do not round until the final answer. Then round to two decimal places as needed.)

📝 Answered - Simplify. 26. $|-6-14|$

📝 Answered - How much would you have to deposit in an account with a $7.5 \%$ interest rate, compounded continuously, to have $ \$2500$ in your account 8 years later? $P=\$[?]$

📝 Answered - Which expression is equivalent to $\left(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}}\right)^2$? A. $\sqrt[4]{2^3}$ B. $\sqrt{2^5}$ C. $\sqrt[4]{4^3}$ D. $\sqrt{4^5}$

📝 Answered - The sum of the numbers on two consecutive raffle tickets is 811,613. Find the numbers on the tickets. The ticket numbers are $\square$ and $\square$.