One half-second after starting from rest, a freely falling object will have a speed of about:

a. 2 m/s
b. 5 m/s
c. 10 m/s
d. 20 m/s

Explain the importance of

• bubonic plague

• Joan of Arc

• Hundred Years' War

• longbow

Graph each set of data. Decide whether a linear model is reasonable. If so, draw a trend line and write its equation. $\left\{\left(-10,3 \frac{1}{2}\right) \cdot\left(-5 \frac{1}{2}, 1 \frac{1}{2}\right),\left(-\frac{1}{10},-4\right),\left(3 \frac{1}{2},-7 \frac{1}{2}\right),(12,-12)\right\}$

Answer the following.

Find the coordinates of the points that divide the line segment joining $(4,5)$ and $(10,14)$ into three equal parts.

Tú sabes mucho de la salud. Dales consejos a tus amigos sobre qué hacer en cada situación. Me torcí el tobillo.

Solve the inequality. Graph the solution set and write the solution set in set-builder notation and interval notation. a. $t+2 \leq 8$ or $\frac{1}{3} t<-4$ b. $t+2 \leq 8$ and $\frac{1}{3} t<-4$

In lab, you propel a cart with four known forces while using an ultrasonic motion detector to measure the cart's acceleration. Your data are as follows:

a. How should you graph these data so as to determine the mass of the cart from the slope of the line? That is, what values should you graph on the horizontal axis and what on the vertical axis? b. Is there another data point that would be reasonable to add. even though you made no measurements? If so. what is it? c. What is your best determination of the cart's mass?

If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.

Solve using the substitution method.

$-5 s+t=11$, $4 s+12 t=4$

The area of a rectangle is 319 square kilometers. Its width is 11 kilometers. Find its length.

In this exercise, evaluate the following.

-x-xy if x=-2 and y=4

Rewrite each of these possessive phrases using the long form of possessive adjectives. Follow the model. Modelo: su boda $\rightarrow$ la boda suya. tus calcetines ____

Si $S:=\left\{\frac{1}{n}-\frac{1}{m}: n, m \in \mathbb{N}\right\}$, hallar $\inf S$ y $\sup S$.

If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.

Solve using the elimination method.

$5 x-7 y=-16$, $2 x+8 y=26$

Let f(x, y)=x and let C be the segment of the parabola $y=x^2$ joining O(0, 0) and P(1, 1).

Compare the results of (a) and (b).