An automobile engine can produce 200 N · m of torque. Calculate the angular acceleration produced if 95.0% of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0-kg disk that has a 0.180-m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330 m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.

Choose the correct term to complete each sentence. • composition of rigid motions • glide reflection • image • line of reflection • line of symmetry • preimage • rigid motion • rotation • translation. The composition of a reflection and a translation is called a(n) _____.

The circular velocity v in miles per hour of a satellite orbiting Earth is given by the formula $v=\sqrt{\frac{1.24 \times 10^{12}}{r}},$ where r is the distance in miles from the satellite to the center of the Earth. How much greater is the velocity of a satellite orbiting at an altitude of 100 mi than the velocity of a satellite orbiting at an altitude of 200 mi? (The radius of the Earth is 3950 mi.)

You visit an aquarium. One of the tanks at the aquarium holds 450 gallons of water. Draw a diagram to show one possible set of dimensions of the tank. (1 gal - 231 in³)

A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg. (a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy. (b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy.

While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the leg is 3.75 kg $\cdot$ m$^2$ and its rotational kinetic energy is 175 J. (a) What is the angular velocity of the leg? (b) What is the velocity of tip of the punter's shoe if it is 1.05 m from the hip joint? (c) Explain how the football can be given a velocity greater than the tip of the shoe (necessary for a decent kick distance).

The following excerpt is from an article in The New York Times in July, 1999. Right now, the market for Web stocks is sizzling. Of the 126 initial public offerings of Internet stocks priced this year, 73 are trading above the price they closed on their first day of trading.... Still, 53 of the offerings have failed to live up to their fabulous first-day billings, and 17 [of these] are below the initial offering price. Assume that, on the first day of trading, all stocks closed higher than their initial offering price. a. What is a sample space for the scenario? b. Write down the associated probability distribution. (Round your answers to two decimal places.) c. What is the probability that an Internet stock purchased during the period reported ended either below its initial offering price or above the price it closed on its first day of trading?

Solve the system of inequalities by graphing. y < 5x - 5, y > 5x + 9

Calculate the limits algebraically. If a limit does not exist, say why. $\lim _{x \rightarrow 0} \frac{x}{2 x^{2}-x}$

Air enters the evaporator section of a window air conditioner at 100 kPa and $27^{\circ} \mathrm{C}$ with a volume flow rate of $6\ \mathrm{m}^{3} / \mathrm{min}.$ Refrigerant-134a at 120 kPa with a quality of 0.3 enters the evaporator at a rate of 2 kg/min and leaves as saturated vapor at the same pressure. Determine the exit temperature of the air and the exergy destruction for this process, assuming (a) the outer surfaces of the air conditioner are insulated and (b) heat is transferred to the evaporator of the air conditioner from the surrounding medium at $32^{\circ} \mathrm{C}$ at a rate of 30 kJ/min.

Factor the polynomial, $x^{4}-23 x^{2}-50$.

The author found that in one month (30 days), he made 47 cell phone calls, which were distributed as follows: No calls were made on 17 days, 1 call was made on each of 7 days, 3 calls were made on each of two days, 4 calls were made on each of two days, 12 calls were made on one day, and 14 calls were made on one day. Use the Poisson distribution to find the probability of no calls on a day, and compare the result to the actual relative frequency for the number of days with no calls.

Use the Wilcoxon matched-pairs signed-ranks test to test the given hypotheses at the $\alpha$=0.05 level of significance. The dependent sample were obtained randomly. Hypotheses: $H_{0}: M_{D}=0$ versus $H_{1}: M_{D}>0$ with n=20 and $T_{-}=-65$.

Can a food additive increase egg production? Agricultural researchers want to design an experiment to find out. They have 100 hens available. They have two kinds of feed: the regular feed and the new feed with the additive. They plan to run their experiment for a month, recording the number of eggs each hen produces. a) Design an experiment that will require a two-sample t procedure to analyze the results. b) Design an experiment that will require a matchedpairs t procedure to analyze the results. c) Which experiment would you consider the stronger design? Why?