Concept explainers
Births and Deaths From 2008 to 2012, the total numbers of births B (in thousands) and deaths D (in thousands) in the United States can be approximated by the models
and
Trending nowThis is a popular solution!
Chapter 1 Solutions
CALCULUS: APPLIED APPROACH LOW COST MA
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus For The Life Sciences
Calculus and Its Applications (11th Edition)
- Simplify: (a) (a3b2)6(4ab3)4 (b) (2x)3(5x7) .arrow_forwardA bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)arrow_forwardIn a typing class, the average number N of words per minute typed after t weeks of lessons can be modeled by N = 105 1 + 5.5e−0.14t .arrow_forward
- This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, was recorded in the table and is modeled by y = –0.04088x2 + 0.4485x + 1.862.In what month did Phoenix receive the highest amount of precipitation? Month (x) Precipitation January 2.27 inches February ? March ? April ? May ? June ? July ? August ? September 2.59 inches October ? November ? December ? Sketch a graph or fill in the table to answer the question. April May June Julyarrow_forwardThe populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2008 can be modeled by P = 333.68e-0.009 ", where t is the year, with t = 0 corresponding to 2000.t (a) According to the model, was the population of Pittsburgh increasing or decreasing from 2000 through 2008? The population was increasing. The population was decreasing. The population was not changing. Explain your reasoning. The population was increasing because the coefficient of the exponent is negative. The population was not changing because the absolute value of the coefficient of the exponent is less than one. The population was decreasing because the coefficient of the exponent is negative. (b) What were the populations of Pittsburgh in 2000, 2006, and 2008? (Round your answers to three decimal places.) 2000 thousand people 2006 thousand people 2008 thousand people (c) According to the model, in what year will the population of Pittsburgh be approximately 302,228?arrow_forwardThis was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, was recorded in the table and is modeled by y = –0.04088x2 + 0.4485x + 1.862.In what month did Phoenix receive the lowest amount of precipitation? Month (x) Precipitation January 2.27 inches February ? March ? April ? May ? June ? July ? August ? September 2.59 inches October ? November ? December ?arrow_forward
- y=6/5 + 1/2arrow_forwardI'm looking for a general equation in terms of n to find the time spent spent per exam for n exams.arrow_forwardWind chill is the temperature it actually feels like when wind accompanies cold temperatures. When the wind is blowing with velocity VV (mph) and the air temperature is TT (degrees Fahrenheit), the Wind Chill can be calculated using this formula: Wind Chill=35.74+0.6215T−V0.16(35.75−0.4275T)Wind Chill=35.74+0.6215T-V0.16(35.75-0.4275T) Compute the wind chill for a temperature of 23 degrees Fahrenheit and a wind speed of 28 miles per hour. degrees Fahrenheit Report the answer value to the nearest tenth of a degree.arrow_forward
- The percentage of full-time instructors at colleges and universities in some country can be modeled by the equation y=−0.037x2−0.066x+59.843,where x is the number of years since 1990. a. Use the model to estimate the percentage of full time instructors in the year 2029. According to the model, ____% of instructors will be full-time instructors in 2029.arrow_forwardA model for the percentage of U.S. households with outstanding student debt is given by: P = 0.056t? – 1.46t + 15.4 where t is the number of years since 1990, and P is the percentage of U.S. households with outstanding student debt. In what year did the percentage of U.S. households with outstanding student debt reach 56%? Answer: In the yeararrow_forwardSales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x + 356.467x + 5332.618, where x is the number of years after 1980. During what years does this model indicate that sales would be at least 6 billion? The sales are at least 6 billion for the years through (Round up to the nearest year as needed.)arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,