Use a graphing utility to perform the operations for the matrices A, B, and C and the scalar c. Write a brief statement comparing the results of parts (a) and (b).

$$A=\left[\begin{array}{rrr}{1} & {2} & {-1} \\ {0} & {-2} & {3} \\ {4} & {-3} & {2}\end{array}\right]$$

,

$$B=\left[\begin{array}{rrr}{2} & {3} & {0} \\ {4} & {1} & {-2} \\ {-1} & {2} & {0}\end{array}\right]$$

,

$$C=\left[\begin{array}{rrr}{3} & {-2} & {1} \\ {-4} & {0} & {3} \\ {-1} & {3} & {-2}\end{array}\right]$$

, and c = 3. (a) $(A+B)^{2}$ (b) $A^{2}+A B+B A+B^{2}$

Traza una línea entre las casillas (squares) y escribe una historia coherente. Observa el significado de las palabras, los verbos y las expresiones de tiempo para guiarte. ¡Hay dos historias mezcladas! para

Temas de familia. Recuerda alguna ocasion en la que tomaste en la que tomaste una decision que causo tensiones en tu famila. Escribe una descripcion de la situacion, teniendo en cuenta estas preguntas:

¿Que te motivo a acutar de esa manera" ¿Quienes se vieron afectados por tu decision? ¿Como reaccionaron? ¿Como se resolvio la situacion?

Simplify each expression. $4^{-3.5}$

Points that are on the same line are collinear. Use the definition of slope to determine whether the given points are collinear. (-2,6), (0,2), (1,0)

Use sketches to explain why each statement is true. a)

$$2 \sin 32 ^ { \circ } \neq \sin 64 ^ { \circ }$$

b)

$$\sin 20 ^ { \circ } + \sin 40 ^ { \circ } \neq \sin 60 ^ { \circ }$$

c)

$$\tan 75 ^ { \circ } \neq 3 \tan 25 ^ { \circ }$$

A soccer player kicks the ball toward a goal that is 16.8 min front of him. The ball leaves his foot at a speed of 16.0 m/s and an angle of

$$28.0^\circ$$

above the ground. Find the speed of the ball when the goalie catches it in front of the net.

Sketch the graph of each equation and find the equation of each trace. $25 x+125 y-25 z=125$

Use the acidity model $\mathrm{pH}=-\log \left[\mathrm{H}^{+}\right]$ where acidity (pH) is a measure of the hydrogen ion concentration [$H^+$] (in moles of hydrogen per liter) of a solution. Find the pH when $\left[\mathrm{H}^{+}\right]=2.3 \times 10^{-5}$

Solve the equation for the variable. Check your solutions. $( x - 6 ) ^ { 2 } ( x + 5 ) = 0$

Simplify the expression. $3 \sqrt{32}+4 \sqrt{98}$

find zw and $\frac{z}{w}$. Leave your answers in polar form.

$$\begin{array}{l}{z=4\left(\cos \frac{3 \pi}{8}+i \sin \frac{3 \pi}{8}\right)} \\ {w=2\left(\cos \frac{9 \pi}{16}+i \sin \frac{9 \pi}{16}\right)}\end{array}$$

Based on the given conditions, identify the alternative hypothesis. Also, either identify the sampling distribution (normal, t, chi-square) of the test statistic, or state that the methods of this chapter should not be used. Claim: With manual assembly of telephone parts, the assembly times vary more than the times for automated assembly, which are known to have a mean of 27.6 sec and a standard deviation of 1.8 sec. Sample data: For 24 randomly selected times the mean is 25.4 sec, the standard deviation is 2.5 sec, and the sample data suggest that the population has a distribution that is far from normal.

Solve ΔABC. Round decimal answers to the nearest tenth. m∠C = 48°, b = 20, c = 28