Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
Making Guitars As a luthicr, you make high-rituality guitars for which accurate fret placement is crucial. Referring to Figure 4.18, we think of the nut itself as fret 0. Additional frets are numbered as we move from the nut toward the saddle.
The following table shows the distance
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a. Show that the data are exponential.
b. Make an exponential model that shows the distance from the nth fret to the saddle.
c. According to your model, how far is it from the fifth fret to the sixth fret?
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runners time at the end of each lap, obtaining the data in the following table. aWhat was the mans average speed rate between 68 s and 152 s? bWhat was the mans average speed between 263 s and 412 s? cCalculate the mans speed for each lap. Is he slowing down, speeding up or neither? Time s Distance m 32 200 68 400 108 600 152 800 203 1000 263 1200 335 1400 412 1600arrow_forwardOzone Depletion According to an article in the New York Times, "Government scientists reported last week that they had detected a slowdown in the rate at which chemicals that deplete the earths protective ozone layer are accumulating in the atmosphere." Letting c(t) be the amount of ozone-depleting chemicals at time t, what does this statement tell you about c(t), c(t) and c(t)? Source: The New York Times.arrow_forwardRipples in a pond When a stone is thrown into the center of a pond, the ripples spread out in a circular pattern, moving at a rate of 3 feet per second. If the stone is dropped at a point (0,0) in the illustration, when will the ripple reach the seagull floating at the point (15,36)?arrow_forward
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