Identify the terms and like terms in the expression. 8. -x - 9x² + 12x² + 7

Identify the terms and like terms in the expression. 7. 2n - n - 4 + 7n

What is homeostasis? Give an example of how it is maintained.

Solve each system of equations. If the system is inconsistent or has dependent equations, say so.

$$\begin{aligned} 2 x+2 y-6 z &=5 \\-3 x+y-z &=-2 \\-x-y+3 z &=4 \end{aligned}$$

Temperature differences on the Rankine scale are identical to differences on the Fahrenheit scale, but absolute zero is given as $0 ^ { \circ } \mathrm { R }$. Find a second relationship converting temperatures $T_R$ of the Rankine scale to the temperatures $T_K$ of the Kelvin scale.

What is the meaning of the capitalized word in the phrase - a tale of sin and INIQUITY?

Solve the equation using the square root property.

$$m ^ { 2 } + 4 = 0$$

One of the difficulties in solving first order equations is that there are several methods of solution, each of which can be used on a certain type of equation. It may take some time to become proficient in matching solution methods with equations. solve the given differential equation. If an initial condition is given, also find the solution that satisfies it. dydx=x+yx−y

Find each product. Look for patterns. a. $\left(\dfrac{10}{13}\times54\right)\times13$
b. $\left(\dfrac{10}{13}\times81\right)\times13$
c. $\left(\dfrac{10}{13}\times1113\right)\times13$
d. Describe a pattern.

The width of a particular microwave oven is exactly right to support a standing-wave mode. Measurements of the temperature across the oven show that there are cold spots at each edge of the oven and at three spots in between. The wavelength of the microwaves is 12 cm. How wide is the oven?

Suppose A has position vector 3i + 2j - k, B has position vector 2i - j - 8k, and C has position vector i + j + ak. Find the unit vector u in the direction of $\overrightarrow{\mathrm{BA}}$.

Find the vertex and the axis of symmetry of the graph of the function. $f ( x ) = 5 ( x - 2 ) ^ { 2 }$

Explain why cos $\theta=\cos \left(\theta+n \cdot 360^{\circ}\right)$ for any angle $\theta$ and any integer n.

Change the order of integration by integrating first with respect to z, then x, then y. $\int _ { - 1 } ^ { 2 } \int _ { 1 } ^ { 3 } \int _ { 0 } ^ { 4 } \left( x ^ { 2 } z + \frac { 1 } { y } \right) d x d y d z$