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Basic Algebra

Square Roots Multiplied

Square root of 100 plus the square root of 200 plus the square root of 300 multiplied by the square root of 400 equals ?

Log

Solve for X:LOG2X=8 Write as a single logarithm:5LNX-1N(X+1)

Elementary School Math: Single Digit Division

This is a day to day problem which can be taken mathematically: There are 23 school buses each carrying 41 kids and teachers on a picnic to the Niagara Falls. How many total number of people are going in this trip? Mathematically, the problem is 41 X 23 = ?

Investigating trios.

Q. Three whole numbers, greater then zero can be used to form a trio. example: (1,2,2) is a trio whose sum is 1+2+2=5 And (2,1,2) is a different trio whose sum is also 5 How many trios can you find with a sum of 5?

Point of Intersection of Line

The equations of two lines are 4x-5y = -15 and y = 4/5x -6 Which of the following describes their point of intersection? A) (5,-2) B) (-5,1) C) (10,-5) D) (No intersection)

Least Squares to Measure Wavefronts

1)We wish to measure a wavefront u(x,y) on a 3X3 grid (see the attached file). The sensor how ever provides us only with differences between grid points. There is sensor noise, so the difference measurements may not be consistent. Number the grid points linearly and set up a set of linear equations (matrix form) relating the

Polynomials Real Values

Solve, find the solution set, solve for the real values - see attachment Solve for x: x + 1 - x > 1 2 5 a. { x _ x > 5 } 3 b. { x _ x > 3 } c. { x _ x > - 4 } 3 d. { x _ -2 < x < 5 } Find the solution set for x = 2 + __1___ 1 + x

solve logarithmic equations.

Lnx+ln(x+2)=4 3^x=45 x=log17 96 I did not know how to put the 17 lower than the log lnx for x=e^x f(6) for x^2+3x-2/x^2-6x=f(x)

Solving equations

For the equation, 5r-3s=24 and 3r+5s=28 solve for r and s by 1. substitution 2. elimination 3. matrix methods (except Cramer's rule) 4. Cramer's rule 5. Graphically

Word problem dealing with volume and perimeter.

A landscaper just finished a garden measuring 6' by 10'. They just have enough money to lay down a concrete path 3" thick using 1 cubic yard of concrete. How wide is the path if it goes completely around the garden?

Depreciation of assets

The attached file contains a worked example from a textbook. Explain it. Neglecting income taxes and assuming an interest rate of 0%, calculations for determining the most economic replacement interval are as follows. See Attached

Solving Polynomials Equations

Determine the total number of solutions (including complex and repeated) of the following equations. 1.) 4x^3 - 7x^2 + 5x - 9 = 0 2.) 8x^6 - 3x^4 - 11x^3 - 2x^2 + 4 = 0 3.) x^5 + 2x^3 - 4x^2 + 7x = 12 4.) -3x^4 + 2x^3 + 15x^2 - x + 1 = 8

Finding the intersection point between two hikers.

Ronald and Rosa are hiking. Ronald hikes 4 miles per hour. Rosa hikes 5 miles per hour. Ronald leaves camp at 8 am for the trail. Rosa leaves camp at 10 am for the trail. At what time will Rosa catch up to Ronald? Where will they be on the trail? How many miles will they be from camp? If they keep hiking for another 2 hours, how

A discussion about global economic inequalities.

Assistance & Guidance needed on the following academic problem: The world GNP keeps rising with the world population. This is as it should be. However, the distribution of this wealth is also transforming, so that a minority are becoming very rich indeed, while both the numbers and the proportion living in relative (some s