A 3-kg blob of putty moving at $10 \mathrm{~m} / \mathrm{s}$ hits a $2-\mathrm{kg}$ blob of putty at rest. Calculate the speed of the stuck-together blobs of putty immediately after the collision.

Solve each system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.

$$\left. \begin{array} { l } { 2 x - 2 y = 5 } \\ { y = x - 4 } \end{array} \right.$$

A painter painted about half a room in half a day. Coley estimated the painter would paint 7 rooms in 7 days. Is Coley's estimate reasonable? Explain.

AF is a line segment and E is a point on it. From E, two rays EB and EC originate. Draw a diagram and then write what postulate, definition, or theorem justifies the statement about the diagram.

If $E$ is the midpoint of $\overline{A F}$, then $\overline{A E} \cong \overline{E F}$.

AF is a line segment and E is a point on it. From E, two rays EB and EC originate. Draw a diagram and then write what postulate, definition, or theorem justifies the statement about the diagram.

$m \angle A E B+m \angle B E F=180$

The following function gives the amount of a substance present at time $t$. Give the amount present initially (at $t=0$ ), state whether the function represents exponential growth or decay, and give the percent growth or decay rate.

$$A=100(1.07)^t$$

According to a 2011 poll, 55% of Americans do not know that GOP stands for Grand Old Party (Time, October 17, 2011). Assume that the existing American population experiences this consequence. a. Let $x$ represent a binomial random variable that represents the proportion of Americans in a sample of 17 chosen at random who are unaware that GOP stands for Grand Old Party. What other possible values may $x$ have? b. Determine the likelihood that, out of a random sample of 17 Americans, exactly 8 are unaware that GOP stands for Grand Old Party. Use the formula for the binomial probability distribution.

What is the second person singular present tense negative subjunctive form of the verb 'añadir' ?

Potassium- 40 has a half-life of $1.25 \times 10^9$ years. How many months will it take for one-half of a $25.0-\mathrm{g}$ sample to disappear?

Find whether each relation is a function. Give the domain and range.

Find a parametrization for the curve. the lower half of the parabola x - 1 = y2

Indicate the $\mathrm{O}_2$ and $\mathrm{CO}_2$ partial pressure relationships important in gas exchange by circling $>$ (greater than), $<$ (less than), or $=$ (equal to) as appropriate in each of the following statements:

$P_{\mathrm{O}_2}$ in blood leaving the systemic capillaries is $(>,<$, or $=) P_{\mathrm{O}_2}$ in blood entering the pulmonary capillaries.

Graph each linear system, either by hand or using a graphing device. Use the graph to determine whether the system has one solution, no solution, or infinitely many solutions. If there is exactly one solution, use the graph to find it.

$$\left\{\begin{aligned} 2 x + 6 y & = 0 \\ - 3 x - 9 y & = 18 \end{aligned} \right.$$

Show that the range of the cotangent function is the set of all real numbers.