A different salad dressing uses a combined total of 2.5 cups of olive oil and vinegar per batch. Consider how many cups of this salad dressing are in 412 batches. Is 8 cups in 412 batches a reasonable answer? Explain how to determine the number of decimal digits in the answer without solving the problem.

If eh = hg and hg=16, find the diameter of k

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.