It should take 6 weeks until the warehouse has less than 100 boxes remaining
Answer:
Y = 7.60X + 1246.67
Step-by-step explanation:
Given the data:
Production Volume (units) Total Cost ($)
400 4000
450 5000
550 5400
600 5900
700 6400
750 7000
Using technology, the linear regression calculator, the regression model obtained by fitting the data is :
Y = 7.60X + 1246.67 ; which is the model giving the relationship between Production volume, x and total cost, y.
Slope = 7.60
Intercept = 1246.67
Given:
The volume of a cube-shaped box is
cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:


It is given that the volume of a cube-shaped box is
cubic meter.

Taking cube root on both sides, we get

Now, the perimeter of each face of a cube is:

Where, a is the side length of the cube.
Putting
, we get


Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer:
Radius of sphere is 3 units.
Step-by-step explanation:
Volume of sphere is given by 
surface area of sphere is given by 
where r is the radius of the sphere.
Given that
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.
we equate formula of Volume of sphere and surface area of sphere
assuming r as the radius.
thus,

Thus, radius of sphere is 3 units.
Step-by-step explanation:
You can see the full detailed explanation in the attached files