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Bacon's Rebellion

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Continue Learning about Calculus

The definition very sharp best fits this word?

Very sharp best fits the word razor sharp.


The cost to produce a custom designed t-shirt is five dollars per shirt plus a 40 dollar design fee. What linear equation fits this situation?

y = 5x + 40


Why do only some shapes tessellate?

tessellations are designs that are based on a shape that regularly tiles smoothly, such as squares or hexagons. Geometrically, this guarantees that all the space is accounted for, and that the shapes should fit together ( though not necessarily smoothly). If you take a square or hexagon (or any other regular shape that fits together by itself) and cut out parts of it using scissors, then attach the cut out parts on the opposite edge of the square from which they were removed, you should end up with a working tessellation.


Does a California king size bed fits a king size bed?

No, a California king size bed does not fit in a standard king size bed frame. A California king measures 72 inches wide by 84 inches long, while a standard king (also known as an Eastern king) measures 76 inches wide by 80 inches long. The dimensions differ both in width and length, so they require different bed frames.


Give an example of an exponential function Find this exponential function's inverse which will be a logarithmic function Plot the graph of both the functions?

An exponential function can be is of the form f(x) = a*(b^x). Some examples are f1(x) = 3*(10^x), or f2(x) = e^(-2*x). Note that the latter still fits the format, with b = e^(-2). The inverse is the logarithmic function. So for y = f1(x) = 3*(10^x), reverse the x & y, and solve for y:x = 3*(10^y)log(x) = log(3*(10^y)) = log(3) + log(10^y) = log(3) + y*log(10) = y*1 + log(3)y = log(x) - log(3) = log(x/3)The second function: y = e^(-2*x), the inverse is: x = e^(-2*y).ln(x) = ln(e^(-2*y)) = -2*y*ln(e) = -2*y*1y = -ln(x)/2 = ln(x^(-1/2))See related link for an example graph.