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A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
1)What is the temperature of the coffee after 16 minutes?
2)After how many minutes will the coffee be 100 degrees?
The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
How many times does the graph of a quadratic equation (a parabola) cross the x-axis? I know that the graph of a quadratic equation should cross the x-axis 2 times, because the polynomial equation of second degree should have two roots, however if ..
Sheila has 25/72 ounces of gold. Bill has 7/30 ounces of gold. How much must Kelly have so that they have a combined 1 full ounce of gold?
Choose h and k such that the system has (a) no solution, (b) a unique solution and (c) many solutions.
Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
Is there a way for scientists to correct for these errors? Why or why not? Next, reply to a classmate's response and ask a question about the response that you think a high school student would ask.
Evaluate the relative growth rate and Assume the relative growth rate is a linear function of population at time t by using the formula
In an election between two candidates, 480 votes were cast. If the winner recieved 340 more votes than the loser, how many votes did the winner recieve?
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
The results showed 65% of those who responded were in favor of electing a Republican in the next election. Interpret the results by identifying what we can conclude about the way the general population feels about electing a Republican president i..
The Chi square test
How many mare gallons of water will it take to fill the tank?
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