A toy was origny 35 fillers is now naked 28 dollars what percentage was the toy marked down

The amount of work required to stretch 9 inches beyond the natural length will be 4.5 ft-lb

Given data:

To determine the work required to stretch the spring 9 inches beyond its natural length, use the concept of Hooke's Law.

Hooke's Law states that the force required to stretch or compress a spring is directly proportional to the displacement from its equilibrium position.

Given that stretching the spring by 2 ft requires 12 ft-lb of work, determine the constant of proportionality.

The constant of proportionality (k) represents the stiffness of the spring and can be calculated using the formula:

k = work / displacement

k = 12 ft-lb / 2 ft

k = 6 lb/ft

Now, calculate the work required to stretch the spring 9 inches (0.75 ft) beyond its natural length using the same constant of proportionality:

work = k * displacement

work = 6 lb/ft * 0.75 ft

work = 4.5 ft-lb

Hence, it would require 4.5 ft-lb of work to stretch the spring 9 inches beyond its natural length.

To learn more about Hooke's law, refer:

brainly.com/question/30379950

#SPJ12

Answer:

FEEL FREE TO CORRECT ME IF I'M WRONG! (in the comments)

1. 0.777,  the thousandths place value repeats

2. 7.77

3. x = 0.60 (0.0603729)

4.

5.

6. 83%

-did my best-

Step-by-step explanation:

Final answer:

Raul made 7/9 of his shots in yesterday's basketball game and Jenny's lacrosse team won 83/100 of their games this season.

Explanation:

To answer the question about what fraction of shots Raul made, we need to convert the percentage into a decimal and then a fraction. To first convert 77.7% into a decimal, we move the decimal point two places to the left, getting 0.777.

Now, to put this into fraction form, knowing that the decimal 0.777 is repeating, we let x = 0.777. Multiply each side by 10 to get 10x = 7.777. Subtracting the first equation from this gives us 9x = 7, hence x = 7/9. So, the fraction of shots Raul made is 7/9.

For Jenny's lacrosse team, the winning percentage is 0.83. It’s a non-repeating decimal so it's straightforward to convert this into a fraction. To convert the decimal to a fraction, we consider the numbers after the decimal point. Since there are two digits (.83), we write it as 83/100. But, it can be simplified by dividing both the numerator and the denominator by their greatest common factor (GCF), which is 1 in this case. So, the fraction of games Jenny's team won is 83/100.

Learn more about Converting percentages to fractions:

brainly.com/question/30775075

#SPJ2