Chapter R.1, Problem 72PE

Which of the following is an example of causation? Hunger causes eating. Raincoats cause rainstorms. Grades cause level of income. Temperatures of 212 degrees F cause water to boil.

The Richter scale is used to rate the magnitude of an earthquake by how much energy it releases. Below is a list of historic earthquakes, the energy released, and the rating on the Richter scale. Earthquake Northridge (USA), 1994 Valdivia (Chile), 1960 Tibet, 1950 Mexico City, 1985 Sumatra-Andaman, 2004 y = Energy, measured in petajoules 0.7 112,202 501 89 2,818 The rating on the Richter scale can be modelled by a logarithmic regression function of the form y a+b ln x where x is the energy of the quake, in petajoules (quadrillion Joules), and y is rating on the Richter scale. Determine a logarithmic regression function that could be used to model these data. Round the values of a and b to the nearest tenth. Richter scale 6.7 9.5 8.6 8.1 9.1 -In(x) According to the logarithmic regression function, determine the rating of an earthquake with 277 petajoules of energy. Round to one decimal place. The rating is on the Richter scale.

1. You are assigned to help sanitize the school. The amount y in gallons) of chlorine remainingin a chlorine tank after disinfecting x hours is y = - 4x + 16.a. Determine the x and y intercept.b. How many hours have passed if there are 3 gallons left?2. You are downloading a movie in a Torrent Software. The percent y (in decimal form) ofmegabytes remaining to download after x minutes is y = -0.3x + 2.Find the x and y intercepts.

Choices: A. 97.99 degree F B. 95.02 degree F C. 90.50 degree F D. 90.81 degree F

I Sign in to ( /student/dashboard/home Harold collected data on the daily high temperature in two cities over a period of one week. He analyzed the data and found the measures below. Which statement is true, based on these measures? Range from Median 5 degrees 5 degrees City Median Temperature 75° F 88° F Carlton Borden The difference between the daily high temperature for the two cities was 13 degrees. The temperature in Carlton was always cooler than in Borden. The daily low temperatures for the two cities were 70° F and 83 F. Borden had at least one daily high temperature of 98 F. Done

ight of the ball above the ground (In feet) 8. A ball is dropped off of the roof of a building. This graph relates the height of the ball above the ground (in feet) to the number of seconds that have elapsed since the ball was dropped. Define variables to represent the values of the varying quantities in this situation. b. Interpret the meaning of the point (0, 367). As the number of seconds since the ball was dropped increases from 10 to 30 seconds, how does the height of the ball above the ground change? 400- ko, 367) а. 300 200 с. 100

A cruise boat travels 12 miles downstream in 2 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream. OA. 4.002 mph B. 6 mph O C. 1.998 mph OD. 10.002 mph

In 1977, the number of high school dropouts in a country was 5212 thousand. By 2006, this number had decreased to 3120 thousand. Find and interpret the average rate of change per year in the number of high school dropouts. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to the nearest tenth as needed.) O A. The average rate of change is about OB. The average rate of change is about OC. The average rate of change is about O D. The average rate of change is about C thousand each year. The number of high school dropouts increased by an average of about thousand each year. The number of high school dropouts decreased by an average of about thousand each year. The number of high school dropouts decreased by an average of about thousand each year. The number of high school dropouts increased by an average of about thousand in the year 2006. thousand each year from 1977 to 2006. thousand in the year 2006. thousand each year from 1977 to 2006.

In a recent survey, a magazine reported that the preferred room temperature in the summer is 68°F. A wall thermostat, like the ones shown below, tells a room's temperature in degrees Fahrenheit Sarah's Upstairs Bedroom Downstairs Bedroom 72°F 64°F a. Which bedroom is warmer than the recommended room temperature? b. Which bedroom is cooler than the recommended room temperature? c. Sarah notices that her room's temperature is 4°F above the recommended temperature, and the downstairs bedroom's temperature is 4°F below the recommended temperature. She graphs 72 and 64 on a vertical number line and determines they are opposites. Is Sarah correct? Explain. d. After determining the relationship between the temperatures, Sarah now decides to represent 72°F as 4 and 64°F as -4 and graphs them on a vertical number line. Graph 4 and -4 on the vertical number line on the right. Explain what zero represents in this situation. EUREKA MATH Lesson 4: The Opposite of a Number O 2019 Great Minds.…