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An Egyptian pharaoh has ordered the construction of four square pyramids. The main pyramid will be the tallest, while the other 3 will each be half its height. All four pyramids must have a height to base length ratio of 2:3. The pharaoh has allocated a maximum amount of 30 million cubic feet of stone for construction. Find the largest possible values for the base length and height, to the nearest foot, as well as the volume of each pyramid, in scientific notation to 3 decimal places.
what is the cost to remove 10% of the pollutant?
A wrench 23cm long lies along the positive y axis and grips a bolt at the origin. A force is applied in the direction at the end of the wrench. Find the magnitude of the force needed to supply 117N-m of torque to the bolt.
find the largest area a circle a square or a rectangle.use a wire of length x to bend into a shape of rectangle a
The area of the floor of the rectangular room is 175 square ft. The length of the room is 1 1/2 feet longer than the width. Find the length of the room.
a six foot tall instructors shadow was 12 feet long. at the same time the water tower's shadow was 270 feet long. how tall is the water tower
Solve the following system of linear inequalities by graphing.
Describe fractional parts. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts.
what is the relationship between an exponential function such as y 2x and a logarithmic function such as the logarithm
V3(R) represents the set of vectors in 3D space. What kind of geometrical objects are represented by the various subspaces of V3(R)?
Joe has a ring weighing 20 grams made of an alloy of 20 % silver and the rest gold. He decides to melt down the rings and add enough silver to reduce the gold content to 73 %. How many grams of silver should he add?
Describe the object, include details on how you went about performing the calculation, and determine the slope. Be sure to include the unit of measurement (inches, feet, yards, etc.).
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
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