A variable force of pounds moves an object along a straight line when it is feet from the origin. Calculate the work done in moving the object from ft to ft.

4.5 lbs.ft

Step-by-step explanation:

Work done by a variable force in moving a distance dx is given mathematically

W = ∫ F dx where the definite integral is done over the entire distance moved by the variable force.

For this question,

F = (5x⁻²) lbs

W = ∫¹⁰₁ 5x⁻² dx = [-5x⁻¹]¹⁰₁ = [-5/x]¹⁰₁ = [-5/10] - [-5/1] = -0.5 + 5 = 4.5 lbs.ft

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300