A spice outlet features it's exclusive spice sold in bulk quantities of four per order, it's secondary spice sold in quantities of eight per order, and it's tertiary spice in quantities of 10 per order. It's a buyer wants to ensure that they have an equal quantity of each spice on hand, what is the fewest number of each the buyer would end up with of each based on the quantity packaging?

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?

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. 4x^2 + 20x + 25 = 0

Which of the following is the graph of y= square root -x-3