Use Pascal’s Triangle to find the binomial coefficient. $_7C_2$

Work cooperatively. Use a graphing calculator to solve each system of inequalities.

$$\begin{array}{l}{y \geq 2 x+1} \\ {y \leq-x-1}\end{array}$$

Find a polynomial function that has the given zeros. (There are many correct answers.) $-7,4-\sqrt{6}, 4+\sqrt{6}$

For the reaction at 298 K,

$$2 \mathrm { NO } _ { 2 } ( g ) \rightleftharpoons \mathrm { N } _ { 2 } \mathrm { O } _ { 4 } ( g )$$

the values of $\Delta H ^ { \circ }$ and $\Delta S ^ { \circ }$ are $- 58.03\ \mathrm { kJ }$ and $- 176.6\ \mathrm { J/K }$ respectively. What is the value of $\Delta G ^ { \circ }$ at 298$\mathrm { K }$? Assuming that $\Delta H ^ { \circ }$ and $\Delta S ^ { \circ }$ do not depend on temperature, at what temperature is $\Delta G ^ { \circ } = 0 ?$ Is $\Delta G ^ { \circ }$ negative above or below this temperature?

Distinguish between essential and nonessential amino acids.

Write the number in scientific notation. Show the steps you used to get the answer. 12.4 × 10^-5

Solve the system. Then classify the system as consistent and independent, consistent and dependent, or inconsistent. 4x+5y=3, 6x+9y=9

Add or subtract.

$$\left[\begin{array}{ccc}{0} & {-1} & {5} \\ {6} & {10} & {12}\end{array}\right]+\left[\begin{array}{rrr}{9} & {-5} & {7} \\ {-4} & {10} & {0}\end{array}\right]$$

sketch a graph of the function and the tangent line at the point (2, f(2)). Use the graph to approximate the slope of the tangent line. f(x)= 1/3-x

The National Snow Information System for Water website provides projections of what might happen to the extent of snow over Canada in the future. (a) Is snow cover increasing or decreasing in Canada? (b) How does snow help keep Earth cool? (c) What effect might a reduction in snow cover have on Earth’s climate? (d) How is this an example of a feedback loop in climate change?

Solve the equation. Check your solution. -21 = 7 - 4y

Santiago y sus amigos se gradúan este año. Completa las oraciones con los verbos entre paréntesis.

1. Yo quería que nosotros BLANK un viaje antes de terminar las clases. (hacer)
2. Yo no quería que los chicos BLANK la sorpresa que voy a darles. (saber)
3. A veces, yo dudaba que Santiago BLANK ayudarme a redactar el anuario, él estaba muy ocupado. (poder)
4. No creía que tú BLANK con nosotros en la fiesta de fin de año. (colaborar)
5. No es cierto que nadie BLANK parte en nuestro club el año pasado. (tomar)

Graph the inequality.

$$y<4x^2-3x-5$$

Solve each equation. Check your solutions. a. 3x-1=4x+8-x, b. -10+5x=7x-4, c. 28-6x+4=30-3x, d. 4x-1=9x-1-5x