Consider the point T(3, -1, 4). Find $\overrightarrow{\mathrm{OT}}$.

Write a rule for each pattern. Then find the next two numbers in each pattern. 1, 2, 5, 6, 9, ...

For each system, (a) solve by elimination or substitution and (b) use a graphing calculator to support your result. In part (b), be sure to solve each equation for y first.

$$\begin{array}{c}{6 x+y=5} \\ {-x+y=-9}\end{array}$$

Combine the pair of sentence into a single sentence by changing one of the sentences into a subordinate clause. Omit underlined words. Follow the directions given in parentheses. Friends surrounded the gravely ill young poet. $\underline{\text{These people}}$ acted like loyal subjects around a dying king. (Change the second sentence into a subordinate clause beginning with who. Place the clause after friends.)

Crime-scene investigators collected hair from a dead person’s body. One of the first things that needs to be established is if this hair is human or animal. Describe two ways that animal hair differs from human hair.

Write the given fraction as a percent. Use a model if needed.

$$\frac{11}{25}=$$

We can use Hess's law to calculate enthalpy changes that cannot be measured. One such reaction is the conversion of methane to ethylene:

$$2 \mathrm { CH } _ { 4 } ( g ) \longrightarrow \mathrm { C } _ { 2 } \mathrm { H } _ { 4 } ( g ) + \mathrm { H } _ { 2 } ( g )$$

Calculate the

$$\Delta H ^ { \circ }$$

for this reaction using the following thermochemical data:

$$\mathrm { CH } _ { 4 } ( g ) + 2 \mathrm { O } _ { 2 } ( g ) \longrightarrow \mathrm { CO } _ { 2 } ( g ) + 2 \mathrm { H } _ { 2 } \mathrm { O } ( l ) \quad \Delta H ^ { \circ } = - 890.3 \mathrm { kJ }$$

$$\mathrm { C } _ { 2 } \mathrm { H } _ { 4 } ( g ) + \mathrm { H } _ { 2 } ( g ) \longrightarrow \mathrm { C } _ { 2 } \mathrm { H } _ { 6 } ( g ) \quad \Delta H ^ { \circ } = - 136.3 \mathrm { kJ }$$

$$2 \mathrm { H } _ { 2 } ( g ) + \mathrm { O } _ { 2 } ( g ) \longrightarrow 2 \mathrm { H } _ { 2 } \mathrm { O } ( l ) \quad \Delta H ^ { \circ } = - 571.6 \mathrm { kJ }$$

$$2 \mathrm { C } _ { 2 } \mathrm { H } _ { 6 } ( g ) + 7 \mathrm { O } _ { 2 } ( g ) \longrightarrow 4 \mathrm { CO } _ { 2 } ( g ) + 6 \mathrm { H } _ { 2 } \mathrm { O } ( l ) \quad \Delta H ^ { \circ } = - 3120.8 \mathrm { kJ }$$

Cycle of violence/Abuse is the physical, mental, emotional, or sexual mistreatment of one person by another.

find the standard form of the equation of the hyperbola with the given characteristics. Vertices: (±4, 0); foci:(±6, 0)

Graph the elements of each set on a number line. $\left\{-\frac{6}{5},-\frac{1}{4}, 0, \frac{5}{6}, \frac{13}{4}, 5.2, \frac{11}{2}\right\}$

Surveyors are often faced with irregular polygonal regions for which they are asked to locate and stake out boundaries, determine elevations, and estimate areas. Some of these tasks can be accomplished by using a site map and a transit. a. Find AC to the nearest meter. B. Find AD to the nearest meter.

e, YR e o auntof water vapor in the ale ia calied ——

© The natura Process in which water constantly moves among oceans, land, and the AtMosphere is callod 1o A ( n ) - is I masses. a ( n ) forms clouds and Pprecipitation, temperatures during winter. two locations on a weather map, both locations have the same pressure.

o The humidity in the air compared to the amount air can hold is the ——— .

Find an equation of the least-squares line for the data.
(-2.1, 6.2), (-1.1, 4.7), (0.1, 3.5), (1.4, 1.9), (2.5, 0.4), (4.2, -1.4), (5.1, -2.5)

The domain of the fucntion y=f(x) is $\big\{x| -3\leq x\leq 4\,,\,x\in \mathbb{R}\big\}$. What is the domain of the function y=f(x+2)-1 ?