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You are an engineer in charge of designing the dimensions of a box-like building. The base is rectangular in shape with width being twice as large as length. (Therefore so is the ceiling.) The volume is to be 9000000 m3. Local bylaws stipulate that the building must be no higher than 50 m. Suppose the walls cost twice as much per m2 as the ceiling, and suppose the floor (i.e.base) costs nothing. Find the dimensions of the building that would minimize the cost.
length is = m.width is = m.height is = m.
Make a ninety percent confidence interval for the proportion.
size of u.s. states. the total surface area (in square miles) for each of six selected Eastern states is listed here. Which set is more variable?
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 500 liters in the pond to start.
Sketch hyperbola after finding Center, Vertex and Foci of this equation: (y+5)squared/16 - xsquared/9 =1. Please show steps needed
The annual interest rate for a customers loan of $675 is 19.25%. What is the total dollar amount to be repaid on the loan, including principle and interest, for the year.
Identify the definite integral that represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10.
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
What is the relationship between exponents and logarithms? How would you distinguish between the two, using both a graph and a sequence? Explain by showing examples of each.
The measures of the angles of a triangle are in the ratio of 2:3:4. What is the measure of the smallest angle? Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?
A television network had 13 drama pilots to fill 5 remaining time slots in the Fall 2007 lineup; 10pm Monday, 10pm Wednesday, 10 pm Thursday, 9pm Friday, 10pm Sunday. How many different new drama line-ups are possible?
Find sample size
Write an essay that explores some of the statistical data that has been found in this area of study.
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