Solve the problem.Find a formula for the distance from the point P(x, y, z) to the xz plane.
A. z
B.
C. x
D. y
Answer: D
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Factor completely, or state that the polynomial is prime.x2(a - 4) + y2(4 - a)
A. (a - 4)(x + y)(x - y) B. (a - 4)(x2 + y2) C. prime D. (4 - a)(x + y)(x - y)
Solve the problem.The motion of a spring-mass system is described by the equation where y is the distance in feet from the equilibrium position and t is time in seconds. If the weight is 18 feet from the ceiling in a state of equilibrium, find the time at which the weight first passes the equilibrium position.
A. sec
B. 4 sec
C. sec
D. 1 sec
Determine whether the following is a difference of squares.x2 - 17
A. Yes B. No
Solve the problem.Newton's Law of Cooling states that if a body with temperature T1 is placed in surroundings with temperature T0 different from T1, then the body will either cool or warm to temperature T(t) after time t, in minutes, where A cup of coffee with temperature 105°F is placed in a freezer with temperature 0°F. After 7 minutes, the temperature of the coffee is 61.2°F. What will its temperature be 20 minutes after it is placed in the freezer? Round your answer to the nearest degree.
A. 19°F B. 18°F C. 21°F D. 23°F