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The base of an aquarium with volume V = 325 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 330 revolutions. how far has billy cycled?
a test has twenty questions worth 100 points. The test consists of True/False questions worth 3 pointS each and multiple choice questions wrth 11 points. How many multiple choice questions are on the test? Solve algebraically.
In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3.
a chemist needs 160 milliliters of a 33% solution but has only 21% and 53% solutions available. find how many milliliters of each that should be mixed to get the desired solution.
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
The gross annual earnings of a certain company A(t)= 0.1t^(2)+10t+ 20 thousand dollars t years after its formation in 2004. At which percentage rate were the gross annual earnings growing with respect to time in 2008?
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
Explain the phrase "outside the scope of the model". Why is it dangerous to make predictions outside the scope of the model?
the dunbar family consists of a mother, a father and some children. The average age of the members of the family is 20. The father is 48 and the average age of the mother and the children is 16. how many children do they have?
find the dimensions of a rectangle whose length is 5 more than its width and whose area is 91 square inches.
Please describe the following: How do you find the length of the hypotenuse of a triangle?
How much money did Bob initially deposit into each account? Solve the equation.
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