Question

The number N of bacteria in a refrigerated food is given by N(T) = 10T2 −...

The number N of bacteria in a refrigerated food is given by

N(T) = 10T2 − 20T + 500, 1 ≤ T ≤ 20

where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by

T(t) = 3t + 2, 0 ≤ t ≤ 6

where t is the time in hours.

a) Find the composition (N ∘ T)(t).

b.) Find the time when the bacteria count reaches 650. (Round your answer to three decimal places.) 750

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The number of bacteria in a refrigerated food product is given by N(T)=20T2?46T+3, 3<T <33 where...
The number of bacteria in a refrigerated food product is given by N(T)=20T2?46T+3, 3<T <33 where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t)=2t+1.5, where t is the time in hours. Find the composite function N(T(t)): N(T(t))= Find the time when the bacteria count reaches 15739. Give your answer accurate to at least 2 decimal places. Time Needed =
A given bacteria culture initially contains 1500 bacteria and doubles every half hour. The number of...
A given bacteria culture initially contains 1500 bacteria and doubles every half hour. The number of bacteria p at a given time t (in minutes) is given by the formula p(t)=1500e^(kt) for some constant k. (You will need to find k to answer the following.) a) Find the size of the bacterial population after 110 minutes. b) Find the size of the bacterial population after 8 hours.​
1. Solve the given initial value problem. dy/dt = (t^3 + t)/(y^2); y(0) = 2 ....
1. Solve the given initial value problem. dy/dt = (t^3 + t)/(y^2); y(0) = 2 . 2. We know from Newton’s Law of Cooling that the rate at which a cold soda warms up is proportional to the difference between the ambient temperature of the room and the temperature of the drink. The differential equation corresponding to this situation is given by y' = k(M − y) where k is a positive constant. The solution to this equation is given...
The temperature at a point (x,y,z) is given by T(x,y,z)=200e−x2−y2/4−z2/9, where T is measured in degrees...
The temperature at a point (x,y,z) is given by T(x,y,z)=200e−x2−y2/4−z2/9, where T is measured in degrees celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector. A. Find the rate of change of the temperature at the point (0, -1, 2) in the direction toward the point (-1, 4, 2). b)In which direction (unit vector) does the temperature...
The temperature, T, of a cup of tea is modelled by the function T = 21...
The temperature, T, of a cup of tea is modelled by the function T = 21 + 58.8(1.4)-x ,where T is measured in 0C (degrees Celsius) and x is measured in minutes. The time starts to be measured when the tea is poured into the cup.      1) Graph the function using technology. Include a graph in your response. 2) Find the temperature of the tea in the cup in 0C and 0F: a) when the tea is poured into...
Question 11 pts Which general statement about gases is NOT correct? The molecules of a pure...
Question 11 pts Which general statement about gases is NOT correct? The molecules of a pure gas are distributed evenly throughout the container. Gases are much less dense than liquids or solids Molecules in a gas mixture can form layers according to their densities Gases can be compressed, even to the point of liquefaction Flag this Question Question 21 pts Which example is the greatest pressure? 1.00 atm 101 kPa 760 mm Hg (= 760 torr) All of the above...
read PV Versus Diesel: A Cost-Benefit Analysis in the Nexus of Food and Fuel below and...
read PV Versus Diesel: A Cost-Benefit Analysis in the Nexus of Food and Fuel below and then answer the following questions: - What is the problem? - What are the alternatives? - What are the base case assumptions? - What measures do you suggest to compare the alternatives? PV Versus Diesel: A Cost-Benefit Analysis in the Nexus of food and fuel. U.S. Army provides field rations to forward troops. After Desert Storm and Desert Shield, where some troops ate packaged...
1. Write the corresponding letter of the distribution used to conduct the test to answer the...
1. Write the corresponding letter of the distribution used to conduct the test to answer the question or to find the probability requested in the blank to the left of the given information. You will only use each letter once. a. Student’s T b. Standard Normal c. Chi-Square d. Binomial e. Poisson _________________Suppose that a doctor claims that 17 year olds have an average body temperature that is warmer than the commonly accepted average human temperature of µ = 98.6...
Analysis: This section should include the issue register as a bare minimum, but may include also...
Analysis: This section should include the issue register as a bare minimum, but may include also why-why diagrams, a Pareto chart, a waste table and/or value-added analysis table. Flow analysis or simulation of this case study might be possible but might require making a lot of assumptions given the provided data. The first part of the project: Introduction    Walmart has continued to retain the top position on the Fortune 500 list for a consecutive fifth year. The brand has...
Please read the article and answear about questions. Determining the Value of the Business After you...
Please read the article and answear about questions. Determining the Value of the Business After you have completed a thorough and exacting investigation, you need to analyze all the infor- mation you have gathered. This is the time to consult with your business, financial, and legal advis- ers to arrive at an estimate of the value of the business. Outside advisers are impartial and are more likely to see the bad things about the business than are you. You should...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT