Polygon $Q R S T$ has vertices $Q\left(4 \frac{1}{2}, 2\right), R\left(8 \frac{1}{2}, 2\right)$, $S\left(8 \frac{1}{2},-3 \frac{1}{2}\right)$, and $T\left(4 \frac{1}{2},-3 \frac{1}{2}\right)$. Is polygon QRST a rectangle? Justify your answer.

The air in the earlier problem is heated to 120 F. Use the program PSYCH to compute the heat transfer rate if 4000 ft$^3$/min is flowing at state 1.

How does a humid subtropical climate differ from a tropical rain forest climate?

Solve the linear system using elimination.

$$\left. \begin{array} { l } { 4 x + y = 17 } \\ { 7 y = 4 x - 9 } \end{array} \right.$$

Solve using the elimination method. If a system has no solution or an infinite number of solutions, state this. $2 n-15-10 m=40$, $28=n-4 m$

Identify and describe plantar flexion and determine which joint is capable of performing it.

Alicia: (on phone, to Sandra, a friend in San Antonio, Texas) En Miami, hace calor. ¿Te gusta andar en patineta?

Sandra: No, me gusta más pasear o montar en bicicleta. Los sábados me gusta hacer la tarea.

Alicia: ¿Sí? Los sábados me gusta pasar un rato con amigos... iy dibujar! Y los domingos, ijugar al fútbol! Los viernes me gusta alquilar un DVD y comer pizza.

Sandra: Sí, sí. Mmm. Me gusta comer pizza y hablar por teléfono.

Alicia: ¿Hablar por teléfono? No me gusta hablar por teléfono. (Father gives a look of disbelief.)

Indica si lo que dicen Alicia y Sandra es cierto o falso. Si es falso, corrige la oración. (Tell if what Alicia and Sandra say is true or false. Correct the false statements.)

modelo: Alicia: Los viernes no me gusta comer pizza. $\hspace{32pt}$ Falso. Los viernes me gusta comer pizza.

Alicia: Los sábados me gusta alquilar un DVD.

Referring to her height, Annie says that in bed her legs were "hanging out way past the foot of it" and that she "loomed way above my father and could see the top of his head." What do these details suggest about Annie John's perspective on the island and her life there?

Calculate the $\mathrm{pH}$ of a solation prepared by mixing $2.00 \mathrm{~g}$ of butyric acid $\left(\mathrm{HC}_4 \mathrm{H}_7 \mathrm{O}_2\right)$ with $0.50 \mathrm{~g}$ of $\mathrm{NaOH}$ in water $\left(\mathrm{K}_{\mathrm{a}}\right.$ butyric acid $\left.=1.5 \times 10^{-5}\right)$.

Determine whether each pair of functions are inverse functions. Write yes or no.

$$\begin{array}{l}{f(x)=2 x^{3}} \\ {g(x)=\frac{1}{3} \sqrt{x}}\end{array}$$

Suppose we know a polygon has $d=35$ diagonals. Use the formula $d=\frac{n^2-3 n}{2}$ to find $n$ the number of sides.

Solve the linear system using elimination.

$$\left. \begin{array} { l } { - 8 y + 6 x = 36 } \\ { 6 x - y = 15 } \end{array} \right.$$

Medication in the Bloodstream The exponential function

$$A(t)=200 e^{-0.014 t}$$

gives the amount of medication, in milligrams, in a patient's bloodstream $t$ minutes after the medication has been injected into the patient's bloodstream. Find how long it will take, to the nearest minute, for the amount of medication in the patient's bloodstream to reach 50 milligrams.

Solve the linear system using elimination.

$$\left. \begin{array} { l } { x - 5 y = - 3 } \\ { 3 x - 5 y = 11 } \end{array} \right.$$