A truck is traveling down a road with a 3-percent grade at a speed of $55 \mathrm{mi} / \mathrm{h}$ when the brakes are applied. Knowing the coefficients of friction between the load and the flatbed trailer shown are $\mathrm{m}_s=0.40$ and $\mathrm{m}_k=0.35$, determine the shortest time in which the rig can be brought to a stop if the load is not to shift.

Fission tracks are trails found in uranium-bearing minerals, left by fragments released during fission events. The article “Yo-yo Tectonics of the Nigde Massif During Wrenching in Central Anatolia” reports that fifteen tracks on one rock specimen had an average track length of $13\mu m$ with a standard deviation of $2 \mu \mathrm{m}.$ Assuming this to be a random sample from an approximately normal population, find a 99% confidence interval for the mean track length for this rock specimen.

Which sentence contains an example of personification?

A. The wind whipped through the trees, their new leaves singing a beautiful song to Samantha.

B. The branches and dead leaves crackled under her feet.

C. She imagined being an explorer in the 1600s, before there were trails and markers to guide the way.

D. Samantha could hardly believe her luck to see a bear on the first day.

When trailing a car on a highway, you are advised to maintain a trailing distance that is often quoted in terms of car lengths, such as in "stay back by 3 car lengths." Suppose the other car suddenly stops (it hits, say, a large stationary truck). Assume a car length $L$ is $4.50 \mathrm{~m}$, your car speed $v_0$ is $31.3 \mathrm{~m} / \mathrm{s}(70 \mathrm{mi} / \mathrm{h})$, your trailing distance is $n L=10.0 L$, and the acceleration magnitude at which your car can brake is $8.50 \mathrm{~m} / \mathrm{s}^2$. What is your speed just before colliding with the other car if (a) your reaction time $t_r$ to start braking is $0.750 \mathrm{~s}$ and (b) automatic braking is immediately started by your car's radar system that continuously monitors the road? What is the minimum value for $n$ needed to avoid a collision with (c) the reaction time $t_r$ and (d) automatic braking?

A tractor-trailer truck is coasting freely, with no brakes, down an $8^{\circ}$ slope at $1000$-$\mathrm{m}$ standard altitude. Rolling resistance is $120 \mathrm{~N}$ for every $\mathrm{m} / \mathrm{s}$ of speed. Its frontal area is $9 \mathrm{~m}^2$, and the weight is $65\ \mathrm{kN}$. Compute the terminal coasting velocity, in $\mathrm{mi} / \mathrm{h}$, for $(a)$ no deflector and (b) a deflector installed.

River’s Edge Canoe & Kayak had the following purchases and cash payment transactions for the month of March. In your working papers, record the following transactions on page 16 of the general journal.

$$\begin{array}{rl} \text{Date} & \text{Transactions}\\ \hline \text{Mar. 1} & \text{Purchased $\$ 8,200$ in merchandise on account from Trailhead Canoes, Invoice $\mathrm{TC} 202,$ terms $2 / 10, \mathrm{n} / 30 .$}\\ \text{5} & \text{Issued Check 887 for $\$ 98$ to Santini Trucking Company for delivery of merchandise purchased from Trailhead Canoes.}\\ \text{7} & \text{Bought $\$ 230$ in supplies on account from StoreMart Supply, Invoice $S M 101,$ terms $n / 30 .$}\\ \text{9} & \text{Issued Check 888 to World-Wide Insurance Company for $\$ 2,500$ in payment of business insurance premium.}\\ \text{11} & \text{Issued Check 889 to Trailhead Canoes for $\$ 8,036$ in payment of Invoice $\mathrm{TC} 202$ for $\$ 8,200$ less a 2$\%$ cash discount of $\$ 164 .$}\\ \text{15} & \text{Purchased $\$ 6,200$ in merchandise on account from Mohican Falls Kayak Wholesalers, Invoice $45332,$ terms $3 / 15, \mathrm{n} / 45 .$}\\ \text{18} & \text{Issued Debit Memorandum 67 for $\$ 25$ to StoreMart Supply for damaged supplies purchased on March 7.}\\ \text{21} & \text{Paid StoreMart Supply the balance due on their account, $\$ 205$ $(\$ 230 \text { less } \$ 25 \text { credit), Check 890.}$}\\ \text{25} & \text{Returned $\$ 200$ in merchandise to Mohican Falls Kayak Wholesalers, Debit Memorandum 68.}\\ \text{28} & \text{Rollins Plumbing Service completed $\$ 120$ in repair work (Maintenance Expense) on account, Invoice RP432. }\\ \end{array}$$

State the total debit amount to the Purchases account for the month.

Describe the test statistic for the runs test when the sample sizes $n_1$ and $n_2$ are less than or equal to 20 and when either $n_1$ or $n_2$ is greater than 20.

Draw one line under the simple subject and two lines under the simple predicate. Circle the direct object. At the end of the sentence, write the word what? or whom? to tell which question the direct object answers.
Some people plan a trip to Mars._____

A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the .05 significance level: a. State the decision rule. b. Compute the value of the test statistic. c. What is your decision regarding the null hypothesis?

$$H_0:μ≤10; H_1:μ>10$$

Assume Decadent Delights, Inc., purchased conveyor-belt machinery. Classify each of the following expenditures as a capital expenditure or an immediate expense related to machinery: a. Sales tax paid on the purchase price b. Transportation and insurance while machinery is in transit from seller to buyer c. Purchase price d. Installation e. Training of personnel for initial operation of the machinery f. Special reinforcement to the machinery platform g. Income tax paid on income earned from the sale of products manufactured by the machinery h. Major overhaul to extend the machinery’s useful life by four years i. Ordinary repairs to keep the machinery in good working order j. Lubrication of the machinery before it is placed in service k. Periodic lubrication after the machinery is placed in service

Solve problem using Drawings are recommended, and the use of algebra is encouraged. If you use algebra, make clear what quantity your variable represents. Callie left home at $7:30$ Am to bike eight miles to the school where she taught. Luckily, she could ride on a bike trail where she averaged twelve miles per hour. But at $7:40$ her husband Jeff noticed that she had forgotten to take her graded exam papers, which he knew she wanted to return that day. So he hopped on his bike to catch up with her. If he averaged sixteen miles per hour, did he catch her before she arrived at school? If so, what time did he catch up with her? (Hint: How far could each ride in one minute?)

From the trailer hitch from the figure has loads applied as shown in the figure. The tongue weight of $980 \mathrm{~N}$ acts downward and the pull force of $4905 \mathrm{~N}$ acts horizontally. Using the dimensions of the ball bracket in the figure, draw a free-body diagram of the ball bracket and find the tensile and shear loads applied to the two bolts that attach the bracket to the channel in the figure, determine the horizontal force that will result on the ball from an impact between the ball and the tongue of the $2000-\mathrm{kg}$ trailer if the hitch deflects $2.8 \mathrm{~mm}$ dynamically on impact. The tractor weighs $9807 \mathrm{~N}$. The velocity at impact is $0.3 \mathrm{m/sec}$. (also see the figures) determine the contact stresses in the ball and the ball cup (not shown). Assume that the ball is $2-\mathrm{in} \mathrm{~dia}$ and the ill-fitting ball cup that surrounds it has an internal spherical surface $10\%$ larger in diameter than the ball.

Find the first partial derivatives of the function.

$$f(x,y)=x^4y^3+8x^2y$$

An airplane wing of 2 m chord length (leading edge to trailing edge distance) and 11 m span flies at 200 km/hr in air at 30$^{\circ}C$. Assume that the resistance of the wing surfaces is like that of a flat plate. a. What is the friction drag on the wing? b. What power is required to overcome this? c. How much of the chord is laminar? d. What will be the change in drag if a turbulent boundary layer is tripped at the leading edge?