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Consider the field F2 = {0,1}, with addition defined by a+b = (a + b)mod2 and multiplication defined by ab = (ab)mod2. Let V be the vector space over F2 consisting of all ordered pairs (v, w) where v, w ∈ F2. How many linear transformations are there from V to itself?
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
A flagpole casts a shadow of 20 ft long. If a man 6ft tall casts a shadow 4.3 ft long at the same time, how tall is the flagpole?
A jeweler has three small solid spheres made of silver, of radius 5 mm, 2 mm, and 6 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
a function is defined as a correspondence between two sets of numbers. what does the notation fx
Find the area of the part of the surface 2z = x^2 that lies directly above the triangle in the xy-plane with the vertices at (0,0),(1,0) and (1,1).
a student opens a math book to two facing pages. The product of the page numbers is 506. What are the page numbers?
What type of growth pattern is represented here?
A mortgage at 9% interest compounded monthly with a monthly payment of $1125 has an unpaid balance of $10,000 after 350 months. Find the unpaid balance after 351 months.
Find the velocity of the top of the ladder at time t=1.
Out of 5000 policies for cell phones, a company received 585 claims. The average amount paid on the claims was $80. If the annual cost of the policy was $48, what was a customer's expected value of the cell phone insurance policy?
Determine the number of analysts, programmers, and engineers to be hired if for every one engineer. 2 programmers and 2 analysts are needed for the contract.
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