Determine whether each statement makes sense or does not make sense, and explain your reasoning. Because I know how to clear an equation of fractions, I decided to clear the equation 0.5x+8.3=12.4 of decimals by multiplying both sides by 10.

Solve the indicated system by setting $X$ equal to the appropriate matrix and reducing it using the up-arrow key and editing repeatedly the three basic commands. To avoid losing the command to interchange rows, which is seldom necessary, execute it at least once in each exercise even if it is not needed. Solve the indicated exercises listed below..

Exercise 21

Write cos 2A in terms of sin A only.

The length of a steel rod at $5{\degree} \mathrm{C}$ is $12.500 \mathrm{~m}$. Calculate its length when heated to $154{\degree} \mathrm{C}$ .

Determine whether each statement makes sense or does not make sense, and explain your reasoning. A wheelchair ramp must be constructed so that the slope is not more than 1 inch of rise for every 1 foot of run , so I used the tangent ratio to determin e the maximum angle that the ramp can make with the ground.

$(a)$ Find $x>>L$ limit of the potential of a finite uniformly charged rod and show that it coincides with that of a point charge formula. $(b)$ Why would you expect this result?

Show that about $1.0 \times 10 ^ { 10 }$ J would be released by the fusion of the deuterons in 1.0 gal of water. Note that 1 of every 6 500 hydrogen atoms is a deuteron.

In the following sentence, draw one line under the appositive phrase and two lines under the word or words to which it refers.

Ms. Estevez won first prize, a trip to Hawaii.

Two waveforms, $v_1(t)$ and $v_2(t)$, have identical amplitudes and oscillate at the same frequency, but $v_2(t)$ lags $v_1(t)$ by a phase angle of $60^{\circ}$. If

$$v_1(t)=4 \cos \left(2 \pi \times 10^3 t+30^{\circ}\right) \mathrm{V},$$

write the expression appropriate for $v_2(t)$ and plot both waveforms over the time span from $-1 \mathrm{~ms}$ to $+1 \mathrm{~ms}$.

Ms. White asked the 25 sixth graders in her class, "How many pets do typical oth graders in our class have?" Ms. White summarized the responses in the table.

$$\begin{array}{|c|c|}\hline \text { Number of } & {\text { Number of }} \\ \text { Students } & {\text { Pets }} \\ \hline 8 & {0} \\ \hline 10 & {1} \\ \hline 4 & {2} \\ \hline 2 & {3} \\ \hline 1 & {38} \\ \hline\end{array}$$

About how many pets does each sixth grader in Ms. White's class own? How did you make your decision?

Use a graphing utility to graph the three functions in the same viewing window. Describe the graphs of g and h relative to the graph of f.

$$\begin{array}{l}{f(x)=x^{3}-3 x^{2}+2} \\ {g(x)=-f(x)} \\ {h(x)=f(2 x)}\end{array}$$

In the summer we like to write to people we know and let them know what we are doing. Complete the following sentences with the appropriate forms of écrire and dire.

Vous $\rule{1cm}{1pt}$ au professeur.

Vous lui $\rule{1cm}{1pt}$ que vous etes en France.

What kinds of terms may be added in an algebraic expression?

In the summer we like to write to people we know and let them know what we are doing. Complete the following sentences with the appropriate forms of écrire and dire.

Cecile et Melanie $\rule{1cm}{1pt}$ a leurs parents.

Elles leur qu'elles sont tres contentes de leurs vacances.