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90. Pollution. The concentration of particulate matter (in parts per million) during a 24-hour period is given approximately by
where t is time in hours. Find the average concentration during the period from t = 0 to t = 24.
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- Assume that in a certain country, the rate at which jobs are created is proportional to the number of people who already have jobs. If there are 15 million jobs at t = 0 and 15.1 million jobs 3 months later, how many jobs will there be after 2 years?arrow_forward12. The amount of heat H (in joules) required to convert one gram of water into vapor is linearly related to thetemperature T (in ?? ) of the atmosphere. At 10?? this conversion requires 2480 joules, and each increasein temperature of 15?? lowers the amount of heat needed by 40 joules. Express H in term of T.arrow_forward1. The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = – 42 + 2T + 10h, – 0.22Th, – 1.997²h,². a. If the air temperature and relative humidity is known to be increasing at a rate of 20F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 1070F with a relative humidity of 8%?arrow_forward
- If n=10 and p=0.5, find P(x=8) Give at least 4 decimal places.arrow_forward+ I/ MI * 00 Energy consumption in a particular country in quadrillion BTUS can be modeled by C(x) = - 0.014x + 1.295x+ 68,958, where x is the number of years after 1970. a. One solution to the equation 89.258 = - 0.014x+ 1.295x+68.958 is x = 20. What does this mean? b. Graphically verify that x 20 is a solution to 89.258 = - 0.014x+1.295x + 68.958. c. To find when after 2020 the energy consumption in that country will be 89.258 quadrillion BTUS according to the model, is there a need to find the second solution to this equation? Why or why not? a. Choose the correct answer below. O A. In 1990, consumption was 68.958 quadrillion BTUS. O B. In 2020, consumption was 68.958 quadrillion BTUS. O C. In 1990, consumption was 89.258 quadrillion BTUS. O D. In 2020, consumption was 89.258 quadrillion BTUS. Click to select your answer and then click Check Answer. parts 2. remaining Clear All Check Answer P Pearson &17 PM ere to search 近 1202/LL/Z PrtSc F11 F12 F10 sup F7 F8 & Backspace 23 3. i 5.…arrow_forward1.2 please help with d-earrow_forward
- Eliminates thw arbitrary constant C.arrow_forward. = VW %3D 8+ rel teX& -(x)arrow_forward1. Match the following lists: List I List II (which of the following functions appear in integration of function in List I) 2-x+1 2-4x +4x a. p. log x| -1 b. x(x-2) 4. log r - 2| r. (x-2) C. x(x- 2) +1 d. S. X (x-2)arrow_forward
- Suppose y = 3x + 2. What is delta y if x increases by 3?arrow_forward4. The growth rate of a colony of ants is given by the formula 10t 2 (1+t²)² where t is measured in hours. If 100 ants are initially present then how many are present after 2 hours? The number of ants present after 2 hours isarrow_forward2) The Nikkei 225 index is a stock market index for the Tokyo Stock Exchange. The Nikkei 225 index for the period 1990-2010 can be modeled by V (t) = 23,500e-0.0381t where t is the number of years after 1990. Determine how many years after 1990 the Nikkei 225 index reached $20,000.arrow_forward
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