The mean surface temperature
of an Earth-like planet can be approximated based on its distance from its primary star d (in km), the radius of the star r (in km), and the temperature of the star
by the following formula.
For Exercises 117–118, use the model to find
Suppose the Sun has a mean surface temperature of
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COLLEGE ALGEBRA W CORQ ALEKS 360
- Explain the value of t?arrow_forwardWhat’s the value of t?arrow_forwardAmerica is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?arrow_forward
- In cold weather, we feel colder when the wind blows. This is quantified by the wind chill index W, which is supposed to predict how cold we will feel for a given air temperature T, in degrees Fahrenheit, and wind speed V, in miles/hour. The National Weather Service uses the following formula: W=35.74+0.6215T−35.75V^0.16+0.4275TV^0.16, for T≤50 and V≥3. What is the wind chill index when the air temperature is 25 degrees and the wind speed is 18 miles/hour?Answer: Calculate the partial derivatives WT and WV when T=25 and V=18.WT= WV= Use your answer above to do the following question: When the air temperature is 25 degrees, estimate the change in the wind chill index if the wind speed increases by 2 miles/hour from 18 miles/hour.Answer:arrow_forwardThe populations P (in thousands) of a particular county from 1971 through 2014 can be modeled by P = 76.9e0.0355t where t represents the year, with t = 1 corresponding to 1971. (a) 1980 1990 2000 2010arrow_forwardWhat is the value of z?arrow_forward
- What’s The value of w?arrow_forwardFind the value of t withinarrow_forwardThe population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 150.8ekt, where t represents the year, with t = 0 corresponding to 2000. In 2009, the population of the city was about 161,050.arrow_forward
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