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Questions in Grade College

📝 Answered - (1) Simplify $3-(8 r-3)+9=\frac{6}{5}(3 r-2)$ and represent your answer on a number line. (2) Evaluate $\frac{5 k-3}{9}=\frac{3}{7}(3-2 k)$ and state the Solution Set.

📝 Answered - Antoine Smith wants a new pickup truck listed for $70,900. He will make a down payment of $10,000 and finance the balance at 3.17% interest for 6 years (72 months). Find the monthly payment using a spreadsheet. Round your answer to the nearest cent. What is the monthly payment?

📝 Answered - $\log _2 16-3 \log _3 \frac{1}{3}+\log _{25} 5$

📝 Answered - Given the piecewise function shown below, select all of the statements that are true. [tex]f(x)=\left\{\begin{array}{c}-3 x, x\ \textless \ 0 \\4, x=0 \\x^2, x\ \textgreater \ 0\end{array}\right\}[/tex] A. [tex]f(2)=4[/tex] B. [tex]f(77)=-3[/tex] C. [tex]f(4)=0[/tex] D. [tex]f(3)=9[/tex]

📝 Answered - A projectile is launched off the roof of a 200-meter-tall building close to its edge, where the initial velocity's horizontal component is [tex]$10 m / s$[/tex] and its vertical component is [tex]$15 m / s$[/tex]. If the projectile lands on the ground below, how far from the building's side (in meters) does the projectile land? Round your answer to the nearest hundredth (0.01). Hint: Find the time it spends in mid-air using the quadratic equation, then use that time to find the distance. If [tex]$A t^2+B t+ C =0$[/tex], then [tex]$t=\frac{-B+\sqrt{B^2-4 A C}}{2 A}$[/tex] It should give you two values for time; make sure to pick the right one!

📝 Answered - Select the best answer for the question. What was the three-fifths compromise? A. A slave would count as three-fifths of a person when counting population for representation. B. Three-fifths of the states needed to approve the Constitution. C. Three-fifths of the national population would own slaves. D. A slave would count as three-fifths of a person when paying taxes.

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - What is the solution of the equation [tex]$x^2+8 x=4$[/tex]? A. [tex]$x=-4 \pm 2 \sqrt{3}$[/tex] B. [tex]$x=-4 \pm 2 \sqrt{5}$[/tex] C. [tex]$x=-4 \pm 5 \sqrt{2}$[/tex] D. [tex]$x=-4 \pm 4 \sqrt{5}$[/tex]

📝 Answered - Find the value of [tex]$x$[/tex] if [tex]$\tan 20^{\circ}=\cot (x+30)^{\circ}$[/tex]

📝 Answered - Which component of a food label reflects the amount of the product that is typically consumed in one sitting by most consumers? A. Total Calories B. Net Weight C. Servings per Container D. Serving Size