Answer:
1/20
Step-by-step explanation:
3/10 - 1/4
First, convert the fractions to a common denominator:
3/10 *2/2 = 6/20
1/4 * 5/5 = 5/20
Now put them back into the equation and solve:
6/20 - 5/20 = 1/20
Another way to do this:
3/10 - 1/4
Convert the fractions into decimals:
3/10 = 0.3
1/4 = 0.25
substitute back into the equation and solve:
0.3 - 0.25 = 0.05
convert back into fractions:
0.05 = 1/20
Answer:
Square numbers are numbers that have been multiplied by themselves.
The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound
<h3>Data obtained from the question</h3>
From the question given above, the following data were obtained:
- Force (F) = 3 pounds
- Extension (e) = 0.6 feet
- Work done (Wd) =?
<h3>How to determine the spring constant</h3>
- Force (F) = 3 pounds
- Extension (e) = 0.6 feet
- Spring constant (K) =?
F = Ke
Divide both sides by e
K = F/ e
K = 3 / 0.6
K = 5 pound/foot
Thus, the spring constant of the spring is 5 pound/foot
<h3>How to determine the work done</h3>
- Spring constant (K) = 5 pound/foot
- Extention (e) = 0.7 feet
- Work done (Wd) =?
Wd = ½Ke²
Wd = ½ × 5 × 0.7²
Wd = 2.5 × 0.49
Wd = 1.23 foot-pound
Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound
Learn more about spring constant:
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Answer:
Step-by-step explanation:
Economics is a branch of social science and it deals with more of observations, theories, laws, deductions and construction of abstracts model.
So, to do all of these, economists need to be good at mathematics to approach some of these abstracts model.
Like all other scientist, economists also do hypothesis to allow them study the economy growth and help them construct a model that solve this goals these requires a lot of mathematical models and abstract reasoning. They usually employ mathematical and graphical models and analysis to solve the economic issue e.g. demand and supply curves analysis
Economic models usually employ graphical and mathematical analysis to help explain and illustrate such economic processes.
All of these makes economic very hard to study. So to study economics, you need to be good at mathematics
