Which of these is caused by a chemical change?
a. the honey in a jar crystallizes and will no longer pour.
b. the skin of a banana turns from green to yellow as it ripens.
c. a box of powdered brown sugar turns into a solid brick over time.
d. the salt crystals in a shaker cake and will no longer pour easily.?

What is the length x of the side of the triangle below? (hint: use the cosine function)

Waves are used in many practical applications to support work, entertainment, and health. one example is the use of ultrasound imaging to safely track the development of a growing fetus. what is a specific example of a practical application of waves in medicine, entertainment, safety, or other fields? provide a brief explanation of how the properties of waves are useful to that application.

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].