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A water trough has a horizontal length of 5 meters and the cross-sections perpendicular to the length are equilateral triangles with side length of 2m.
Gravity is 9.8m/s2
Density of water is 1000kg/m3
How much work is required to empty the full trough by pumping the water out the top? Simply set-up the integral, do not evaluate.
The cost C of ordering and storing x units is C=2x+(30000/x). What order size will produce aminimum cost?
A pollster wants to determine the difference between the proportions of high-income voters and low-income voters who support a decrease in the capital gains tax. If the answer must be known to within 0.2 at the 95% confidence level and the sample ..
Use the law of quadratic reciprocity to show that if p is an odd prime other than 5, then (5/p) = 1 if and only if the last digit of p is 1 or 9.
Draw pictures of the following relations on R (all real number). (a) R= {(x,y): y≤x and y≤2 and y≤2-x}. (b) S= {(x,y): (x-4)^2 + (y-1)^2 ≤ 9}. Also draw the inverse of each relation.
Dengan menanamkan modalnya dalam suatu stock tertentu. Seseorang dapat menerima keuntungan $4000 setahun dengan peluang 0,3 atau kerugian $1000 setahun dengan peluang 0,7. Tentukan nilai harapan penerimaan orang ini dari stock tersebut.
Ms.Johnson works a basic week of 35 hours at the rate of $3.76 per hour. Calculate her earnings for a basic week.
They reported that there was a strong relationship between the diameter of a bird's eye and the time it started singing in the morning: birds with larger eyes tended to start singing earlier. Is this anecdotal evidence, an experiment or an observa..
Develop a plan for the distribution of salary increases. Suppose you are employed in a local industry, and your supervisor has assigned you to distribute annual raises that must average 4% per department among 6 team members.
the hights in inches of six trees in a nursery were 67,58,60,70,73, and 65. find the standard deviation and round your answer to two decimal places.
solve the following system of linear equations by using gauss seidal method starting from x1 x2 x3 1 0 1. perform six
The second number is 2 more than the first. What are the possible values for the first of the two numbers?
A tank holds liquid waste comprised mostly opf water. It is vented to the atmosphere. the tank has a diameter of 50 feet and a total depth of 30 feet, it is only half full. At a poin t five feet above the bottom of the tank, what is the approximat..
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