Mathematics Homework Solutions

Speed of liquid.

With only the small valve open, all of the liquid can be drained from a large vat in 4 hours. With only the large valve open, all of the liquid can be drained from the same vat in 2 hours. How long would it take to drain the vat with both valves open?

Comparison of speeds.

It takes a computer 8 days to print all of the personalized letters for a national sweepstakes. A new computer is purchased that can do the same job in 5 days. How long would it take to do the job with both computers working on it?

Algebra - Solution for a Word Problem

The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of 'd' pounds and a sail area of 'A' square feet S = 16Ad-2/3 a) Find S for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds. b) So ...continues

Algebra - Solution for a Word Problem

Word problem using Keplers third law

Kepler's law

According to Kepler's third law of planetary motion, the ratio T2/R3 Has the same value for every planet in our solar system. R is the average radius Of the orbit of the planet measured in astronomical units (AU), and T is the number Of years it takes for one complete orbit of the sun. Jupiter orbits the sun in 11.86 years wi ...continues

x^3 =1

The steps for solving x^3=1 are shown with explanations for each step.

x^4 =16

The steps for solving x^4=16 are shown with explanations for each step.

Further trigonometry

How do you understand further trigonometry and four-point method?

Calculating the y intercept given data points and the slope.

What is the y intercept for p(3,5)q(4,6), m=2?

Finding vertex and intercepts for an equation and sketch a graph using word

Find the vertex and intercepts for the quadratic function, and sketch its graph using Excel. y = x^2 - 4x - 12

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