Which law of thermodynamics relates to a system reaching 0 K?

Christy bought an 8-foot piece of lumber to trim a bookshelf. Altogether, she needs 100 inches of lumber for the trim. Did Christy buy enough lumber? Explain.

Choose the best answer. If $- 1 \frac { 3 } { 5 } x = 4 \frac { 7 } { 10 },$ what is the value of x?

$$\begin{array} { l } { \mathbf { F } \cdot - 7 \frac { 13 } { 25 } } \ { \mathbf { G } \cdot - 2 \frac { 15 } { 16 } } \ { \text { H. } 6 \frac { 3 } { 10 } } \ { \text { J. } \frac { - 16 } { 47 } } \end{array}$$

Find the first four nonzero terms of the Maclaurin series for the given function. f(x)=ln(1+4x)

Establish that for $n \geq 1$ (a)

$$\scriptsize \left( \begin{array}{l}{n} \\ {1}\end{array}\right) u_{1}+\left( \begin{array}{c}{n} \\ {2}\end{array}\right) u_{2}+\left( \begin{array}{c}{n} \\ {3}\end{array}\right) u_{3}+\cdots+\left( \begin{array}{c}{n} \\ {n}\end{array}\right) u_{n}=u_{2 n}$$

(b)

$$\scriptsize -\left( \begin{array}{c}{n} \\ {1}\end{array}\right) u_{1}+\left( \begin{array}{c}{n} \\ {2}\end{array}\right) u_{2}-\left( \begin{array}{c}{n} \\ {3}\end{array}\right) u_{3}+\cdots+(-1)^{n} \left( \begin{array}{c}{n} \\ {n}\end{array}\right) u_{n}=-u_{n}$$

Make a scatterplot for the data.

Height and Weight of Females Height (in.): 58, 60, 62, 64, 65, 66, 68, 70, 72 Weight (lb): 115, 120, 125, 133, 136, 115, 146, 153, 159

Which is an example of homeostasis? (a) reproduction (b) controlling an experiment (c) growth and development (d) maintaining a steady temperature

Write the given sentences as a system of inequalities in two variables. Then graph the system. The sum of the x-variable and the y-variable is no more than 2. The y-variable is no less than the difference between the square of the x-variable and 4.

A pet shop pays $40 for a dog bed, and then sells it to a customer for$75. What is percent markup?

Solve the equation.

$$z ( z + 2 ) ( z - 1 ) = 0$$

(a) write the statement symbolically, (b) write the negation of the statement in part (a), and (c) translate your answer from part (b) into words.

All dogs have a license.

The following table shows the acceleration of a car moving in a straight line. If the car is traveling 70 ft/s at time t=0, estimate the speed and distance traveled at each time.

$$\begin{matrix} \text{t(s)} & \text{0} & \text{0.5} & \text{1} & \text{1.5} & \text{2}\\ \text{}{a(t)\left(\mathrm{ft} / \mathrm{s}^{2}\right)} & \text{-4.2} & \text{2.4} & \text{0.6} & \text{-0.4} & \text{1.6}\\ & \text{ }\\ \end{matrix}$$

True or False? Given any set X and given any functions

$$f : X \rightarrow X , g : X \rightarrow X$$

, and h:

$$X \rightarrow X$$

, if h is one-to-one and

$$h \circ f = h \circ g$$

, then f=g. Justify your answer.

Let $\phi$ be an automorphism of $D _ { 4 }$ such that $\phi ( H ) = D .$ Find $\phi ( V )$