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1. Is set containment ⊂ an equivalence relation?
2. Decrypt the message q kiv pih kpmmhjczomz, which was encrypted using a cipher that shifted by eight letters.
3. Decrypt the message q kiv pih kpmmhjczomz, which was encrypted using a cipher that shifted by eight letters.
4. Decrypt the message dtrn utzaknr dbbv utzaknr T lbt'b zoam po gabbd hvlwoec, which was encrypted using a Vigen`ere cipher with key word lady. Which type of Vigen`ere cipher was used?
Calculate what the future size of the population will be, given the below assumptions - Examine the graph that your spreadsheet produced based upon the calculations.
A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 4 ft at the south end to 5 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whole..
Sung is driving to Atlanta. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in minutes). When graphed, the function gives a line with a slope of -0.8. See the figure below.
A company wishes to manufacture a box with a volume of 52 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necess..
A ramp begins at the end of a sidewalk and rises 15 vertical feet over a horizontal distance of 150 feet. Find the length of the ramp to the nearest tenth of a foot. (Hint: Use (0,0) for the end of the sidewalk.)
Find the average value of the function f(x) = cos^3x on the interval 0
Find how much radioactive material remains after 7 hours. Round your answer to the nearest thousandth.
Describe how equivalence classes can be used to define the rational numbers as classes of pairs of integers and how the basic arithmetic operations on rational numbers can be defined following this approach.
find the maximum and minimum, changes in concavity, intervals of increasing and decreasing, and asymptotes ofthe above function.
Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong.
Jerry borrowed $10,657.50 from his bank to build an attached garage and work space on his house. Jerry's simple interest loan had a rate of 13% and required him to pay $12,250 under the agreed terms. What was the duration of his loan?
Blaise drew a scale drawing of a swimming pool. In real life, the pool is 12 meters wide. It is 15 millimeters wide in the drawing. What is the scale of the drawing?
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