Answer:
.
Step-by-step explanation:
We have been given that a variable force of 
pounds moves an object along a straight line when it is x feet from the origin. We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.
We know that 
, where F represents force.
Now, we will integrate both sides of equation as:
Take the constant out:
Upon applying power rule of integrals, we will get:
![w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5C%2F%5B%20%5Cfrac%7Bx%5E%7B-2%2B1%7D%7D%7B-2%2B1%7D%20%5D%5E%7B10%7D_1)
![w =3[ \frac{x^{-1}}{-1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20%5Cfrac%7Bx%5E%7B-1%7D%7D%7B-1%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{x} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7Bx%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{10} -(-\frac{1}{1})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%20-%28-%5Cfrac%7B1%7D%7B1%7D%29%5D)
![w =3[ -\frac{1}{10}+\frac{10}{10})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B10%7D%7B10%7D%29%5D)
![w =3[\frac{9}{10}]](https://tex.z-dn.net/?f=w%20%3D3%5B%5Cfrac%7B9%7D%7B10%7D%5D)
Therefore, the work done by the object is .
The square is shown with a side length of 8 inches.
The area of a square is s^2, which can also be written as s x s, where a is the length of the side.
Area of the square would be 8 x 8 = 64 square inches.
The area of a circle is pi x r^2, where r is the radius. R is given as 3 inches.
The area of the circle is 3.14 x 3^2 = 28.26 square inches.
The shaded area is the square minus the circle.
The shaded area = 64 - 28.26 = 25.74 square inches.
The answer is 25.74 square inches.
Answer:
66.25 fluid ounces of soap
Step-by-step explanation:
53 divided by 4 which equals 13.25 so then you add 53 and 13.25 which gives us are answer 66.25
Answer:
-39/4 decimal form is -9.75 mixed number form is -9 3/4
Step-by-step explanation:
