The strength of a random password as measured by the information entropy. The formula for a random password's information entropy, H, is given by the function:
H = (Length of the password ) log2(Number of characters available)
H = L log2N
where H is reported in bits of entropy. Note that the log is the base 2 logarithm.
H = _____________ bits. For a random password with a length of eight (L = 8) which uses lowercase, uppercase, numbers, and symbols (number of possible characters N to choose from is 95), calculate the bits of entropy.
L = _____________ Some IT pundits recommend that random passwords have 72 bits of entropy. Use the function above with an N equal to 95 characters. Calculate the length L necessary to obtain H = 72 bits of entropy.
L = _____________ Most computer users only use lowercase and uppercase letters, which is only 52 possible characters for their password. With N equal to 52 characters, Calculate the length L necessary to obtain H = 72 bits of entropy.
_____________ What is the length in characters of the passwords you usually use? [open answer].
The chart depicts a baby weight function for a baby that grew at f(x) = 16.07 ln(x) − 27.51 where x is the months since conception and f(x) is the weight in pounds. Birth is at x = 9 months. The y-axis is the weight of the baby in pounds.
____________ Calculate the birth weight of the baby by evaluating the growth function at x = 9 months.
____________ Calculate the weight of the baby at x = 21 months (one year post birth).
Either make the calculation or solve for x as appropriate. Round answers to two decimal places.
Attenuation is essentially the ability of a sound to lower in volume as the player moves away from the source of the sound. The rate at which this volume fade occurs is based on a mathematical model. The logarithmic attentuation model is good for sounds that need more exact 3D positionalization. Also good for making sounds 'pop' at a close distance; good for incoming missiles and projectiles as well. – Adapted from: EpicGames
Use a spreadsheet to plot the logarithmic sound attenuation model. Add a logarithmic trend line and equation.
Write the logarithmic function:
_________ Use the logarithmic function to calculate the volume for a distance of 65.
_________ Use the logarithmic function to calculate the distance for a volume of 80.
_________ Convert π/4 radians to degrees.
_________ Convert 30° to radians expressed as π over a number.
_________ Calculate the arc length s for a π/4 radian arc with a radius r of 10 meters.
_________ The angles inside a triangle add up to 180° If a right triangle has one acute angle of 30°, what is the angle of the other acute angle?
_________ Calculate: 200 sin(45°)
_________ Calculate: 200 cos(45°)
Suppose I want to inscribe a square inside a circle with a radius of 200. What will be the SVG coordinates of the four corners?