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Qus-01 Prove that 2n >1+ n root(2n−1) ∀n > 2, using the inequalities.
An electronics company produces​ transistors, resistors, and computer chips. Each transistor requires 3 units of​ copper, 2 units of​ zinc, and 1 unit of glass. Each resistor requires 3​, 1​, and 2 units of the three​ materials, and each computer chip requires 2​, 1​, and 2 units of these​ materials, respectively. How many of each product can be made with 1885 units of​ copper, 915 units of​ zinc, and 1125 units of​ glass? Solve this exercise by using the inverse of the coefficient matrix to solve a system of equations.
Rewrite each rational expression with the indicated denominator.
7/12 = ?/48
-6//b= ?/4b
6/5t^5 u^2= ?/10t^7u^5
8/m-8= ?/m(m-8)
Slope= 9 over 4, y-intercept=-4. Find the equation of this straight line.
Problem Page
There were 75
runners to start a race. In the first half of the race, 2/5
of them dropped out. In the second half of the race, 1/3
of the remaining runners dropped out. How many runners finished the race?
The cost of 5 boxes of envelopes and 5 packages of notebook paper is $25.38. How much would one box of envelopes cost?
The length of a rectangular dog run is 4ft more than twice it’s width. Find the dimensions of the run if it’s covers 96 ft ^2.
Find three consecutive odd integers such that the sum of the three numbers is 60 less than the square of the largest integer?
The following proof seems to show that 1=2 explain the error clearly
a=b
a^2=ab
a^2-b^2=ab-b^2
(a-b)(a+b)=b(a-b)
a+b=b
b+b=b
2b=b
2=1
The equation -2x^2=13x-45 is not ready for factoring and solving for x explain why. What qualities does it need so that it is ready. Explain how to get. Started solving x.
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