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There is a pound bag on the left plate of a scale. There is a pound bag on the right plate. Mike has to balance the scale by adding pound bags to the left plate and pound bags to the right plate. 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?
Air is being pumped into a spherical balloon at a rate of 20 cubic feet per second. At what rate is the radius of the balloon increasing at the instant when the radius equals 15 feet?
a walkway forms the diagonal of a square playground. The walkway is 24 m long. to the nearest tenth of a meter how long is a side of the playground.
Find the variation constant and an equation of variation where y varies directly as x and y= 72 and x=8
compute the unit normal vector and the curl of F as well as the value of the integral
A worker on scaffolding 75 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 20 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
Find the optimal solution. What is the value of the objective function at the optimal solution? Note: The answer will be an integer. Please give your answer as an integer without any decimal point. For example, 25.0 (twenty five) would be written ..
Hamilton Quaternions : Kernels and Images, Show that the map phi: H->M_2(C) defined by phi(a+bi+cj+dk)=(a+b(sqrt -1),c+d(sqrt-1);-c+d(sqrt-1),a-b(sqrt-1)) is a ring homomorphism
For the two acute angles, m1=6x -3° and m2 =x + 2°. Solve for x and the measure of each angle. State the ideas from the tool kit that justify the procedure you use.
Find all the subfield of K containing Q.
Which of the following is a characteristic of every binomial distribution?
Probability : Bayes' Theorem, In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view.
The larger - the Gooch family- will pay three times the amount of the bachelor's share and twice the amount the couple will pay. How much will each party have to pay, and what percent of the house will they own?
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