Why is the following situation impossible? A book sits on an inclined plane on the surface of the Earth. The angle of the plane with the horizontal is $60.0^{\circ}$. The coefficient of kinetic friction between the book and the plane is 0.300. At time t = 0, the book is released from rest. The book then slides through a distance of 1.00 m, measured along the plane, in a time interval of 0.483 s.

You have been called as an expert witness for a trial in which a driver has been charged with speeding but is claiming innocence. He claims to have slammed on his brakes to avoid rear-ending another car, but tapped the back of the other car just as he came to rest. You have been hired by the prosecution to prove that the driver was indeed speeding. You have received data as follows from the police: Skid marks left by the driver are 56.0 m long and the roadway is level. Tires matching those on the car of the driver have been dragged over the same roadway to determine that the coefficient of kinetic friction between the tires and the roadway is 0.82 at all points along the skid mark. The speed limit on the road is 35 mi/h. Construct an argument to be used in court to show that the driver was indeed speeding.

Golf Challenge Corp. is a retail sports store carrying golf apparel and equipment. The store is at the end of its second year of operation and is struggling. A major problem is that its cost of inventory has continually increased in the past two years. In the first year of operations, the store assigned inventory costs using LIFO. A loan agreement the store has with its bank, its prime source of financing, requires the store to maintain a certain profit margin and current ratio. The store’s owner is currently looking over Golf Challenge’s preliminary financial statements for its second year. The numbers are not favorable. The only way the store can meet the required financial ratios agreed on with the bank is to change from LIFO to FIFO. The store originally decided on LIFO because of its tax advantages. The owner recalculates ending inventory using FIFO and submits those numbers and statements to the loan officer at the bank for the required bank review. The owner thankfully reflects on the available latitude in choosing the inventory costing method. 1. How does Golf Challenge’s use of FIFO improve its net profit margin and current ratio? 2. Is the action by Golf Challenge’s owner ethical? Explain.

Find the domain of each function. Write answers using interval notation. $f(x)=\ln \left(\frac{-3}{(x+2)(x-6)}\right)$

Answer each of the following related to international accounting standards. a. Accounting for plant assets involves cost determination, depreciation, additional expenditures, and disposals. Is plant asset accounting broadly similar or dissimilar between IFRS and U.S. GAAP? Identify one notable difference between IFRS and U.S. GAAP in accounting for plant assets. b. Describe how IFRS and U.S. GAAP treat increases in the value of plant assets subsequent to their acquisition (but before their disposition).

Answer each of the following related to international accounting standards. a. Explain how the purposes and principles of internal controls are different between accounting systems reporting under IFRS versus U.S. GAAP. b. Cash presents special internal control challenges. How do internal controls for cash differ for accounting systems reporting under IFRS versus U.S. GAAP? How do the procedures applied differ across those two accounting systems?

The sum of two acute angles is an acute angle. always true, never or sometimes. Explain.

The curvature of a curve in the (x, y) plane is $K=y^{\prime \prime}\left(1+y^{\prime 2}\right)^{-3 / 2}$. With K = const., solve this differential equation to show that curves of constant curvature are circles (or straight lines).

Refer to the following: Revenues from sweater sales in a sportswear chain are given approximately by $R(t)=3+2 \cos \frac{\pi t}{6} \quad 0 \leq t \leq 24$ where R(t) is the revenue (in thousands of dollars) for a month of sales t months after January I. (A) Find the exact values of R(0), R(2), R(3), and R(6) without using a calculator. (B) Use a calculator to find R(1) and R(22). Interpret the results.

Write an equation for each parabola with vertex at the origin. through the point (2, -4), symmetric with respect to the y-axis

A right circular cylinder has radius 6 in. and volume $144 \pi \text { in. }^{3}$. What is its height?

A container in the shape of a cube 10.0 cm on each edge contains air (with equivalent molar mass 28.9 g/mol) at atmospheric pressure and temperature 300 K. Find (a) the mass of the gas, (b) the gravitational force exerted on it, and (c) the force it exerts on each face of the cube. (d) Why does such a small sample exert such a great force?

In the U.S. House of Representatives, the number of representatives from each state is proportional to the state's population. California (the most populous state) has 53 representatives, whereas Wyoming (the least populous state) has just l representative. The table gives the percentage of states having various numbers of representatives in the current House of Representatives.

$$\begin{array}{|l|c|c|c|c} \hline \text { Number of Representatives } & 1 & 2-7 & 8-15 & >15 \\ \hline \text { Percent of States (as a decimal) } & 0.14 & 0.44 & 0.28 & 0.14 \\ \hline \end{array}$$

Using the percents as probabilities, find the probability that, out of 10 states selected at random, the following are true. No more than 3 states have 2-15 representatives.

Show that the Kruskal-Wallis statistic, B, as defined in Theorem 14.4.1 can also be written

$$B=\sum_{j=1}^{k}\left(\frac{n-n_{j}}{n}\right) Z_{j}^{2}$$

where

$$Z_{j}=\frac{\frac{R_{. j}}{n_{j}}-\frac{n+1}{2}}{\sqrt{\frac{(n+1)\left(n-n_{j}\right)}{12 n_{j}}}}$$