A brass rod $1.020 \mathrm{~m}$ long expands $3.0 \mathrm{~mm}$ when it is heated. Calculate the temperature change.

A brass rod 100 mm long and 5 mm in diameter extends horizontally from a casting at $200^{\circ} \mathrm{C}$. The rod is in an air environment with $T_{\infty}=20^{\circ} \mathrm{C}$ and h=30 $\mathrm{W} / \mathrm{m}^{2} \cdot \mathrm{K}$. What is the temperature of the rod 25, 50, and 100 mm from the casting?

$(a)$ 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?

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?

Gillian works from 20 to 30 hours per week during the summer. She earns $12.50 per hour. Her friend Emily also has a job. Her pay for t hours each week is given by the function e(t) = 13t, where$15 \leq t \leq 25$. a. Find the domain and range of each function. b. Compare their hourly wages and the amount they earn per week.

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 62

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

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.

Collect like terms:

$$3 a + 2 a ^ { 2 } + a - a ^ { 2 }$$

A new building is going up a block from the apartment building where Kim lives. On May 1, she notices the top of the new building is exactly level with her kitchen window. By May 6, the workers have added another 12 feet to the building and the top now makes an angle of 3 degrees with the horizontal from the kitchen window. Draw a diagram of the situation.

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.

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.

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

For each sentence below, underline the word or words in parentheses that correctly complete the sentence.

Did Ms. Rubio (advice, advise) you to take cheerleading?

You've taken a summer job at a water park. In one stunt, a water skier is going to glide up the 2.0-m-high frictionless ramp , then sail over a $5.0-\mathrm{m}$-wide tank filled with hungry sharks. You will be driving the boat that pulls her to the ramp. She'll drop the tow rope at the base of the ramp just as you veer away. What minimum speed must you have as you reach the ramp in order for her to live to do this again tomorrow?