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Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 - 16). What values in the denominator must we be mindful of? Explain why.
Write an algebraic expression to answer the question below.
A 410-ft weather tower used to measure wind speed has a guy wire attached to it 175 ft above the ground. The angle between the wire and the vertical tower 57degrees. Determine the lengh of the guywire.
A square's side is increased by 7 yards, which corresponds to an increase in the area by 217 square yards. How many yards is the side of the initial square?
Without using a trial and error or iterative approach, determine the initial speeds of both swimmers in m/s.
The base of an aquarium with volume V = 325 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Estimate the population after many months - for example many years into the future.
From the totals, find the average cost per ounce of prepackaged items. Convert your results to cost per pound. (Hint: How many ounces in a pound?) Cap'n Crunch cereal - 12.5 oz $3.50
From the top of a building 70 meters high, the angles of depression of two objects that are directly east of the observation position are 38° and 25° respectively. find the distance between the objects.
Quantitative tools & techniques are basically important for improving the qualit of managerial decisions.examine the statement & discuss the role of quantittative techniques in planning & control of business activity.
The market has an expected return of 12% and the risk-free rate is 4%. What is the alpha for the fad followers?
A spring with a 2 kg mass attached to it has spring constant 8 N/m and no damping. There is an external force given by F(t) = 24 sin 2t N, where t is time. The mass is initially stretched 2 m beyond the equilibrium position and released with an in..
If a one person household spends an average USD 730 per week on groceries, calculate the minimum dollar amount spent per week for the middle 40 percent of one person households. Suppose that the standard deviation is USD 104 and the variable is norma..
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