Posted by **kim** on Saturday, August 6, 2005 at 8:39pm.

The consumption of natural gas by a company satisfies the empirical equation V=1.50t+0.008t^2, where V is the volume in millions of cubic feet and t the time in months. Express this equation in units of cubic feet and seconds. Put the proper units on the coefficients. Assume that a month is 30 days.

The original empirical equation means

V (ft^3) = 10^6 * [ 1.5 ft^3/month * t(month) + 0.008 ft^3/month^2 * t^2 (month^2)]

It t is to be in seconds, you need to make some conversions of the coefficients, using 1 month = 2.592*10^6 s

The coefficient of t is 1.5 ft^3/month * (1 month/2.592*10^6 s) = 5.79*10^-7 ft^3/s

The coefficient of t^2 is

0.008 ft^3/month^2 * (1 month^2/6.72*10^12 s^2) = 1.19*10^-15 ft^3/s^2

So you can rewrite the equation as

V (ft^3) = 0.579 ft^3/s * t

+ 1.19*10^-9 ft^3/s^2 * t^2

when t is in seconds.

thank you so much!!

## Answer This Question

## Related Questions

- PHYSICS.PLS - the consumption of natural gas by a company satisfies the ...
- PHYSICS - the consumption of natural gas by a company satisfies the empirical ...
- physics2ndquestion - the consumption of natural gas by a company satisfies the ...
- STATISTICS - The following data represents the monthly natural gas consumption (...
- business math - The Kansas City Star on February 16, 2007 reported on the ...
- Math - The volume of a cone that fits exactly inside a cylinder is 20 cubic feet...
- Science - 1). Assume the following: -the house has 2,000 square feet -80,000 BTU...
- Algrebra - How do you represent each answer as an algebraic expression using the...
- Math - Projectile motion: Let's suppose you throw a ball straight up with an ...
- Math (Ms.Sue) - Sheri's freezer is 2 feet wide, 6 feet long, and 2 feet deep. ...

More Related Questions