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how to remove spaces before and after :

denominatio problem


1.Which of the following is a linear equation in x,yand z?

1. -x–¹ + e–√²y=3z l, where e= 2.71828

2. 2πln(e–½) - 2y + z= ln(3) - x.

3. √y² + 4y - 2z = 7x.

4.y + 4y - 2z = 7x–².


2.Solve for X from the matrix equation below. Here is the identity matrix and det(A) ≠ 0.

A²X + l = AB

Choose the correct option:

1. X is the identity matrix.

2. X= A–¹B - l

3. X= A–¹B + l

4. X= A–¹B - A

5. X= AB + B



A tank contains 325 moles of compressed helium gas. How many Helium atoms are in the tank?


A soda can contains about 14 grams of aluminum (Al), the most abundant element in Earth's crust. How many soda cans can be made from 52 moles of Al?


Write a function named SameNumberOfFactors that takes two positive integer arguments and returns 1 if they have the same number of factors and 0 if they have not the same number of factors.




the formation of Thorium-228 by beta emission


prepare a line graph



monday 150



tuesday 250



wednesday 200



thursday 140



friday 210



saturday 380



sunday 450




1. The management of XYZ Company provides you with comparative balance sheets of the years ended December 31, 2012 and 2011. Management asks you to prepare a horizontal analysis on the information.















As indicated in table above sales increased by 8.3% while net income decreased by 21.9%. You identified that there were increases in both cost of goods sold (14.3%) and operating expenses (2.1%). These increased costs more than offset the increase in sales, yielding an overall decrease in net income. You already identified the Couse of the problem. Therefore, what are the possible actions should be taken to eliminate the reduction of the net income?





the formation of Thorium-228 by beta emission


In 2015, jim earnss $100, milk costs $2 per litre, and cookies cost $4 per dozen. Draw Jim's budget constraint.


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