In the following sentence, identify the underlined pronouns by writing above each one PER for personal, REF for reflexive, INTEN for intensive, DEM for demonstrative, INTER for interrogative, REL for relative, or IND for indefinite.

In the woods, $\underline{\text{we}}$ spotted a doe $\underline{\text{that}}$ had a fawn.

The number density of atoms (chiefly hydrogen) in int erstellar space is about 10 per cubic centimeter, and the temperat ure is about 100 K. (a) Calculate the pressure of the gas in inter stellar space, and express it in atmospheres. (b) Under these conditions, an atom of hydrogen collides with ano th er atom once every 1×10^9 seconds (that is, once every 30 years). By using the average speed, estimate the distance traveled by a H atom between collisions. Compare this distance with the distance from the Earth to the Sun (150 million km ).

Solve the equation. Use words or set notation to identify equations that have no solution or equations that are true for all real numbers. $5 x-5=3 x-7+2(x+1)$

Completa este anuncio sobre las Antillas. Usa las palabras del recuadro: instrumento, cama, ámbar, piedra, floreros, madera. ¡Feria turística artesanal! La artesanía de las Antillas es muy variada. Los artesanos trabajan materiales naturales como el ámbar, la madera y la piedra y los transforman en objetos decorativos. El______ es una_______semipreciosa. Es un regalo muy popular. Según las tradiciones, esta piedra trae buena suerte. Estos pájaros son de____________________. Los artesanos los pintan de colores muy vivos. Puedes usarlos para decorar tu sala o tu dormitorio. Esto es un______musical. Se llama güiro. Está hecho con una calabaza (gourd), pero también pueden ser de madera o metal. Estos________ son de cerámica. Compra uno para poner las espectaculares flores del Caribe. Esta_______está hecha a mano. Tú le das al artesano las medidas y él te la hace ¡Ven a vernos a la feria!

Factor the following four-term polynomial by grouping. If this is not possible, write "not factorable by grouping." See the discussed examples.

$$8 w^2+7 w v+8 w+7 v$$

Factor using factoring by grouping : $6 x^2+4 x+15 x+10$

In the given problem, assume that f is a polynomial. Explain how you can locate local maxima and minima for the graph of $y=f(x)$ by examining the graph of $y=f^{\prime}(x)$.

Find the local maximum and minimum values.

$$f(t)=t+\cos t, \quad-2 \pi \leqslant t \leqslant 2 \pi$$

After examining the reciprocal identity for $\sec t$, explain why the function is undefined at certain points.

Identify the function’s local and absolute extreme values, if any, saying where they occur. $g(t)=-t^{2}-3 t+3$

In the following sentence, identify the underlined pronouns by writing above each one PER for personal, REF for reflexive, INTEN for intensive, DEM for demonstrative, INTER for interrogative, REL for relative, or IND for indefinite.

Is $\underline{\text{that}}$ the baseball $\underline{\text{that}}$ the pitcher autographed for your brother?

For what positive number is the sum of its reciprocal and four times its square a minimum?

If the radius of a circle is doubled, is the area doubled? Explain.

Solve the equations. (A) |p| = 6 (B) |p| = 0 (C) |p| = -6