Solve the problem.Coffee is best enjoyed at a temperature of 124°F. A restaurant owner wants to discover the temperature T at which he should serve his coffee so that it will have cooled to this ideal temperature in 5 minutes. He discovers that a cup of coffee served at 200°F cools to 185°F in one minute when his restaurant is at 75°F. If he maintains the restaurant temperature at 75°F, at what temperature should he serve the coffee to meet his goal? Use Newton's law of cooling, f(t) = T0 + Ce-kt, where f(t) is the temperature at time t after being introduced into an environment with a constant temperature T0 and C and k are constants.
A. 163°F
B. 188°F
C. 200°F
D. 168°F
Answer: D
Mathematics
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- 5x
A. 2x
B. x
C. 6
- 2x
D. Cannot simplify
Mathematics
Find the vertices of the ellipse.36(x + 1)2 + 9(y - 1)2 = 324
A. (-1, 1 - 3
), (-1, 1 + 3
)
B. (0, 7), (0, -5)
C. (1, 7), (1, -5)
D. (-1, 7), (-1, -5)
Mathematics
Write the linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the constant matrix. 3x + 6y = 75 9x - 2y = 65
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Mathematics
Solve.8x - 3x = 5
A. -1 B. 11 C. 1 D. 5
Mathematics