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The upper left-hand corner of a piece of paper 8 in. wide by 12 in. long is folded over to the righthand edge as in the figure. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Find the unit vectors that are tangent and normal to the curve at the given point:
Describe the data collection methods used in the research project. • What did the researchers conclude as a result of their research?
ow large a sample must be selected if he wants to be 99 percent confident of finding whether the true mean differs from the sample mean by 2.5 hours?
Estimate the area under the graph of y=x2+1x for x between 0 and 2 . Use a partition that consists of 4 equal subintervals of [0,2] and use the right endpoint of each subinterval as a sample point.
in triangle MNO, angle M is equal to angle N, and angle O is 5 more than three times angle N. what is the measure of each angle?
From the top of a 235 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
Suppose that a box has a volume of 100 cubic centimeters and that the area of the bottom of the box is 50 square centimeters. Find the height of the box. Show all the steps for solving this question.
an initial population of 370 quail increases at an annual rate of 18% write an exponential function to model the quail population and what will the approximate population be after 4 years?
Which of the expressions below are equal to the one in the box? Check all that apply.
Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
In a school of 420 students, 147 students are in the band, 245 students are on sports teams, and 63 participate in both activities. How many students do not participate in band or sports?
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