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a rectangular piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each corner, and the sides are turned up to make a box with an open top. The volume of the box is 616cm cubed. Find the original dimensions of the cardboard.
Which of the following is the complete set of numbers for which the function f(x) = 3x^3-6x^2 is convex?
explain why applying a vertical and then a horizontal translation produces the same result as appying a horizontal translation and then a vertical translation.
In a circle of radius 6 centimeters, find the area of the segment bound by an arc of measure 120 degrees and the chord joining the endpoints of the arc. Round your answer to nearest tenth.
Differentiate the function f(x) =
Find the line integral of f(x,y,z)=x+y+z over the straight-line segment from (2,1,4) to (1,-2,2). The answer is 4(sqrt(14)). Can you show the work.
Find the range for the measure of the third side of a triangle with the given two sides 31 and 4.
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
Two twelve-member basketball teams play a game. After the game, each of the members of the winning team shakes hands once with each member of both teams. How many handshakes take place?
If the population mean is 36, are the serial killers significantly more introverted at the .05 level? Perform the appropriate one-tailed test.
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
Solving probability problems based on normal distribution
Digit probability A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number
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