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The surface area of the right squre pyramid is given by S=b square rt. b^2 + 4h^2. If the pyramid has height of 10 feet and surface area of 100 square feet, what is the length of a side b of its base?
The natural length of a spring is 10 cm. A force of 25 N stretches it to a length of 20cm. How much work, in units of N-cm, is done in stretching it from a length of 10cm to a length of 15cm?
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width.
Expected value, indifference probabilities, expected utility, For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) = .35.
Find the natural domain of the given functions.
A ski-run follows the curve of y=0.01x^2 - 0.6x + 9 from x=0 meters to x=30 meters. What is the angle between the ski-run and the horizontal where x=10?
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines either meet in a single point or do not meet at all?
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
If a one person household spends an average USD 730 per week on groceries, calculate the minimum dollar amount spent per week for the middle 40 percent of one person households. Suppose that the standard deviation is USD 104 and the variable is norma..
Compute the probability of all the three stocks rise - Compute the probability that All three stocks rise
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