Mathematics Homework Solutions

Solving a Summation

5 Σ (8i-1) i=1

Solving Geometric Sequences

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Trigonometric Identies and Equations and Tire Wear

Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. The diameter of the wheels of one car is 15 inches. The diameter of the wheels of the other car is 16 inches. If the tires are equally durable and differ only by diameter, which car will probably need new tires first? Why? The tw ...continues

Finding the sum of the first n terms of a geometric sequence.

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Solving Summations

4 Σ (-2)^i i=1

Trigonometry Word Problems (4 Problems)

You have been contacting cartographers and land surveyors to explore how they utilize graphs of functions in their work, and have learned that they create formulas to calculate size and mass. 1. A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the l ...continues

Algebra Word Problems : Find two numbers whose ratio is 4 to 3 and are such that the sum of their squares is 100.

Find two numbers whose ratio is 4 to 3 and are such that the sum of their squares is 100.

Trigonometry Word Problems

A recent land survey was conducted on a vacant lot where a commercial building is to be erected. The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams are 6.5 feet high. The distance between the front and back bea ...continues

Directions of Vectors and Solving Systems of Equations by Elimination and Substitution

I am asking for assistance with the below questions: 1. Explain why vectors QR and RQ are not equivalent. 2. Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method. I have attempted to answer the questions but am wishing to see if done correctly ...continues

Solving Systems of Linear Equations by Substitution

4x+y=12 (1) x-y=8(2) 4x+y=12 x-y=8 5x/5 = 20/5 X=4 4(4) =y – 12 16+y = 12 Y =4 I think this would be an example of elimination method for solving a system of equations however I am unsure how it would transfer to substitution method thus I am needing assistance. I am needing this to be illustrated if you wi ...continues

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