Solve the problem.Newton's law of cooling states that the rate at which a body changes temperature is proportional to the difference between its temperature and that of the surrounding medium. If a body is in air of temperature 25° and the body cools from 95° to 85° in 30 minutes, find the temperature of the body after 60 minutes. (Round to nearest degree.)
A. 72°
B. 76°
C. 81°
D. 75°
Answer: B
Mathematics
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Solve the problem.The Van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) = 
- 
, where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each variable.
A. PV = 
; PT = 
- 
B. PV = 
- 
; PT = 
C. PV = - 
+ 
; PT = 
D. PV = 
- 
; PT = 
Mathematics
Solve the system.
+ 
= - 
- 
= - 
A. 
B. {(-9, 7)}
C. {(7, -9)}
D. {(9, -7)}
Mathematics
Solve the inequality. Graph your solution on a number line, and write your solution in interval notation.
- 1 ? 2
A. (-?, -11] ? [-5, ?)
B. [-11, -7]
C. [ 7, 11]
D. [-11, -5]
Mathematics
Solve the equation.
= 4
A. 16 B. 8 C. 7 D. 1
Mathematics