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an open top rectangular box has a square bas and it wll hold 256cc.Each side has length x cm and height y cm. The bos surface are is given by s(x)=(1024/x)+x^2.
estimate he minimum surface area and value of x that will yield it.
In a group of 97 students, the number taking English is twice the number of those taking Math. 53 students are taking one of these subjects and 15 are taking neither. How many students are taking math? How many are taking English?
Mr. Smith invested $48,000, part at 6% interest and the remainder at 10%. He received $4000 in interest after one year. How much was invested at each rate?
Explain how the formula for standardizing z-scores forces a given normal distribution to have a mean of 0 and a standard deviation of 1.
What must be true about the image of triangle JKL under a dilation with a scale factor of 2/3 and center of dilation at point C?
The residuals plot indicated that a linear model is appropriate. Write a sentence summarizing what R2 says about this regression.
In rectangle ABDF above, C and E are midpoints of sides BD and DF , respectively. What fraction of the area of the rectangle is shaded?
Assume it is equally likely that any number of people between 91-120 show up for the flight. How much , on average expected profit will the flight generate?
Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.
Suppose that he must add the same number of bags to each side. How many bags must he add to each side in order to balance the scale?
A piece of wire is 20 cm long. It is to be cut into two pieces (not necessarily of the same length). One piece is ti be bent into a square and the other into a circle. How should this be done so that the resulting sum of the areas of the two objec..
A baseball diamond is square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
Let the sum from n=m to infinity of a_n be a formal series of real numbers. If this series is absolutely convergent, then it is also conditionally convergent.
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