Match the term with its correct definition. congruence A. ideas and images of the accumulated experiences of all human beings B. the consistency between one's self-concept and one's experience C. methods used by the ego to avoid anxiety D. people who tend to be active and self-expressive and gain energy from interacting with others E. people who tend to be imaginative and look inward for ideas and energy F. the patterns of feelings, motives, and behavior that set people apart from one another G. the use of self-deception to justify unacceptable behaviors or ideas H. a view of oneself as an individual I. the process by which people learn socially desirable behaviors J. an aspect of personality that is considered to be reasonably stable

determine the order of the matrix. [3 -1 , 4 1 , -5 9]

Fill in the blank to complete the trigonometric identity. $\tan \left(\frac{\pi}{2}-u\right)=$ ______

Find mgh when m = 3, g = 9.8, and h = 10.

An incompressible fluid flows along a 0.20-m-diameter pipe with a uniform velocity of 3 m/s. If the pressure drop between the upstream and downstream sections of the pipe is 20 kPa, determine the power transferred to the fluid due to fluid normal stresses.

Nitrogen $(N_2)$ undergoes an internally reversible process from 6 bar, $247^{\circ} \mathrm{C}$ during which $p v^{1.20}=\text { constant }.$The initial volume is $0.1 m^3$ and the work for the process is 121.14 kJ. Assuming ideal gas behavior, and neglecting kinetic and potential energy effects, determine heat transfer, in kJ, and the entropy change, in kJ/K. Show the process on a T-s diagram.

(a) find the dot product $\mathbf{v} \cdot \mathbf{w}$; (b) find the angle between v and w; (c) state whether the vectors are parallel, orthogonal, or neither. $\mathbf{v}=2 \mathbf{i}+2 \mathbf{j}, \quad \mathbf{w}=\mathbf{i}+2 \mathbf{j}$

Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely. S={1, 3, 5, 7, 9}, E={3, 7}

In 2005, the Las Vegas monorail charged $3 per ride and had an average ridership of about 28,000 per day. In December, 2005 the Las Vegas Monorail Company raised the fare to$5 per ride, and average ridership in 2006 plunged to around 19,000 per day. a. Use the given information to find a linear demand equation. b. Give the units of measurement and interpretation of the slope. c. What would be the effect on ridership of raising the fare to $6 per ride?

Use a polar coordinate system to plot each point with the given polar coordinates.

$$\left( 3,90 ^ { \circ } \right)$$

Find all solutions of the equation algebraically. Check your solutions. $(x-7)^{2 / 3}=9$

Sketch each angle in standard position.

$$\frac { 3 \pi } { 4 }$$

Tell whether each expression is completely factored. If not, factor it.

$$3 n ^ { 2 } \left( n ^ { 2 } - 25 \right)$$

Consider the following points P and Q.

Find $\vec { P Q }$ and state your answer in two forms: $\langle a , b , c \rangle$ and $ai+bj+ck$.