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A textbook store sold a combined total of 432 math and physics textbooks in a week. The number of math textbooks sold was three times the number of physics textbooks sold. How many textbooks of each type were sold?
Let G = RxR (R is the real numbers) with addition (x,y) + (x', y') = (x+x', y+y'). Let H be the line y=mx through the origin: H = {(x,mx)such that x belongs to R (R is real numbers).
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
Problems Involving a Binomial Distribution About 30% of adults in United States have college degree.
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
Write a linear regression equation for these data and forecast how much money Robert will win if he spends $28.
Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.
Prove the cancellation law for integers: If a,b, c are integers such that ac=bc and c is non zero, then a=b. hint for proof* use the cancellation law: Let a,b,c be natural numbers such that ac=bc and c is non zero, then a=b
Evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse
Two armies are advancing on two cities. The first army has 4 regiments and the second army has 3 regiments. At each city, the army that send more regiments to the city captures both the city and the opposing army regiment.
A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard. If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per foot,
Show the Finite graph and vertices
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