A cup of coffee is taken out of a microwave oven and placed in a room. The temperature, T, in degrees Fahrenheit, of the coffee after t minutes is modeled by the function T = 70 + 130e 0.04855 The graph of the function is shown in the figure. T 240 200 160 T = 70 + 130e 0.0485S 120 80 40 T= 70 10 20 30 40 50 60 Use the graph to answer each of the following questions. a. What was the temperature of the coffee when it was first taken out of the microwave? b. What is a reasonable estimate of the temperature of the coffee after 20 minutes? Use your calculator to verify this estimate. c. What is the limit of the temperature to which the coffee will cool? What does this tell you about the temperature of the room?

Q: Use the equation from Step 3 to estimate how many days per year the temperature is 50 degrees or…

A:

Q: The manager of an employee health plan for a firm has studied the balance B, in millions of dollars,…

A: Remark: We will set the first derivative of the function to zero and solve for t to get the critical…

Q: d. Find the vertical shift. e. Write down the equation of the function for the depth of the water…

A: The vertical shift, equation of the function for the depth of the water in terms of m and h are…

Q: The figures show the gr: 51) 4十 -2. 2.

A: (51) To identify: The parent function from the graph. It can be seen that the function changes its…

Q: Draw the graph of a function that represents the situation. Let t=0t=0 represent the year 2021. A…

A: Graphically, the linear function representing the relationship between an independent variable let's…

Q: The figure shows the median lifetime eamings E in dollars determined by the highest level of…

A:

Q: You are driving a car. The graph in the figure shows your distance D, in miles, from home as a…

A:

Q: The manager of an employee health plan for a firm has studied the balance B, in millions of dollars,…

A:

Q: The graph represents the height h of a projectile after t seconds.(a) Explain why h is a function of…

A: (a) part If vertical lines are drawn, then these vertical lines will cut at only one point of the…

Q: Patty's Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The…

A: Let, X : Rainfall, Y : Umbrella sales.

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: A boat that was anchored 50 miles from a marina begins sailing directly away from it at 4 miles per…

A:

Q: The number of cybersecurity incidents reported to the U.S. federal government for the years 2006 to…

A: To solve the following problem

Q: -N The graph below shows the height, h, as a funcțion of time, t, of an iPhone that was toSseu T une…

A: Phone was rising from t= 0  to t= 6 Interval (0,6)

Q: II. Have a look at the graphs of functions I, II, and III below. Which graph is Position ? Which is…

A:

Q: Ethan has a total of $5,800. He deposits $4,500 into a savings account which earns an annual…

A: Given: rate of interest =4.8%=0.048 Initial amount = $4500.

Q: The following graph shows the number T = T(d) of tornadoes in Oklahoma (F1/EF1 and stronger)…

A: (c) The objective is to find the average yearly rate of decrease in tornadic activity from 2011 to…