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
- 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_forwardPlease do questions 8-10, show work and explain Through typing only. Thanksarrow_forwardPrepare a 2x 2 table from the following information and calculate Yule's Coefficient of Association and interpret the result: N= 1500, (0) = 1117, (B) = 360, (AB) = 35. %3Darrow_forward
- The table gives the number of books sold N(t) for a new novel t weeks after release at a certain book store.arrow_forwardA meteorologist records the temperature (in degrees Fahrenheit) and the amount of rain (in centimeters) during a series of rain storms. Her data is below: Temperature 62 38 29 55 61 70 47 Rain amount 1.2 6.3 5.1 2.2 0.8 1.4 3.3 Based on this, she wants to determine whether the temperature influences how much rain will fall Answer each question below, romling all values to at least 2 decimal places. (a) Find an equation of the least-squares regression line based on this sample. (b) Use your answer from part. (a) to predict the amount of rain in a storm that takes place when the temperature is 58 degrees Fahrenheit. (If for any reason you could not complete part (a), use --2.5+ 0.15.x instead.) (c) Find the residual for a storm in 40-degree weather that creates 4.2 centimeters of rain.arrow_forwardGarrett planted some parsley seeds in his garden and has been measuring their growth over the lt Kit weeks. Week 12 4. Height (in cm)245.6| 11 Based on the information he has gathered: a. What is the average weekly increase in growth? Average weekly increase: A cm/week b. Write a mathematical model that estimates the approximate height, H. of the parsley at the end of week I. Model: H c. Use your model to predict the height of the plant after 14 weeks. cm Prediction: 92 PM 62022arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage