Drag each label to the correct location. Identify the characteristics associated with Indus valley civilizations and ancient Chinese civilizations.
well-planned, orderly cities
public drainage and sewage
systems
first civilizations to cultivate rice
and millet
ruled by a series of dynasties
public baths used for cleansing
and religious ceremonies
isolated by geographic features,
including the Gobi Desert and
the Himalayas
Indus Valley Civilization
Ancient Chinese Civilization

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

What is the value of x in the diagram below?

Scrub a dub toothbrushes are $4.00 each. there is a 10% discount, but there is also a 6% sales tax after the discount is applied. what is the new price after tax? round to the nearest penny