Concept explainers
Solve each problem. See Objective 3.
When a thermal inversion layer is over a city (as happens often in Los Angeles), pollutants cannot rise vertically, but are trapped below the layer and must disperse horizontally.
Assume that a factory smokestack begins emitting a pollutant at 8 A.M and that the pollutant disperses horizontally over a circular area. Suppose that t represents the time, in hours, since the factory began emitting pollutants (
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Beginning and Intermediate Algebra (6th Edition)
- Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?arrow_forwardExtract from the law the value of H in terms of Larrow_forwardThe home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H(w)arrow_forward
- Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 32arrow_forwardSuppose the following equation is estimated where sleep is measured in minutes and work in hours: sleep = 3638.25 – 16.8*work - 15.13*educ + 2.20*age n=706, R2 =.113. If someone works three more hours per week, by how many minutes is sleep predicted to fall?arrow_forwardConsider an aquarium with a 75 gallon tank. If the aquarium has a water pump that pumps water at a rate of 227 gallons per hour, calculate the residence time (in minutes) Round your answer to the nearest minutearrow_forward
- Researchers wanted to determine whether fence lizards learned to avoid fire ants. To determine this, they gathered lizards from eastern Arkansas (where there were no fire ants), and from southern Alabama (which had been invaded by fire ants). The lizards were then exposed to fire ants, and researchers measured how long (in seconds) it took the lizards to flee. Suppose that mu_I is the average time to flee for a lizard that lives in the invaded areas in Alabama, and mu_U is the average time to flee for a lizard living in the uninvaded areas of Arkansas. When the data is loaded into the correct tool in StatKey, and the "Generate 1000 samples" button is clicked, here is what StatKey generates:- see image. The researchers observed that the lizards from Alabama had an average response time of 32 seconds, and the lizards from Arkansas had an average response time of 44 seconds. Using this, which of the following is closest to the P-value for this hypothesis test? What conclusions can we make…arrow_forwardResearchers wanted to determine whether fence lizards learned to avoid fire ants. To determine this, they gathered lizards from eastern Arkansas (where there were no fire ants), and from southern Alabama (which had been invaded by fire ants). The lizards were then exposed to fire ants, and researchers measured how long (in seconds) it took the lizards to flee. Suppose that mu_I is the average time to flee for a lizard that lives in the invaded areas in Alabama, and mu_U is the average time to flee for a lizard living in the uninvaded areas of Arkansas. The researchers are interested in understanding if lizards from invaded areas are faster to flee when exposed to ants. What should they use for their hypotheses? H0:μI−μU= HA:μI−μU What are the hypothesis and null hypothesis answers? And how did you get the hypothesis and null hypothesis without any numbers?arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning