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Prove by induction that the sum of even numbers up to n is equal to n(n+2)/4. In other words: 2 + 4 + 6 + ..+n = n(n+2)/4 Hint: Since these are even numbers, the next number from n is n + 2?
An economy has three sectors: A, B, C. Sector A sells 20% of its output to B and 30% to C and retains the rest. Sector B sells 30% of its output to A and 40% to C and retains the rest. Sector C sells 50% of its output to A and 30% to B and retains..
jan had a beaker that contained 104 mL of acid and 783 mL of water. What percent of this total mixture is acid?
general relation between linear algebra and abstract algebra.
The Walsh Family has decided to drive to Walt Disney World, in Orlando Florida, for their summer vacation. They will drive 260 miles in 4 hours. Write a direct variation equation to find the distance driven for any number of hours.
A ball drops from a height of 18 feet. Each time it hits the ground, it bounces up 50 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Using law of cosines for solving the problem.
multiply and simplify the given expression.nbsp1 multiply and simplify 2x3nbsp 3 5x - 6 x22 x3nbsp 4x - 9 - 8 - x 1 x
Color transformations matrix. r= amount of input red light g= amount of input green light b= amount of input blue light Now Q1) Goggles switch red light with green light. Find transformation matrix
Is the multiplication of complex numbers similar to multiplication of polynomials? Is it possible to apply the FOIL method when multiplying complex numbers?
what is the amount of depreciation during the fifth year?
A system consists of four subassemblies connected in series. The individuak subassembly reliabilities are as follows:
Write a linear function for the amount of snow after x hours at the average rate - The greatest amount of snow that has ever fallen in a 24-hour period in North America was on April 14-15,1921 in Silver Lake, Colarodo.
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