Answer:
quotient: 4x^3 -4x^2 -x +6
remainder: 3
Step-by-step explanation:
See the attached for the long division. As with any long division, at each step, the quotient term multiplies the divisor and the result is subtracted to form the new dividend.
Answer:
The linear velocity of the cable ≅ 327 feet per minute.
Step-by-step explanation:
Given that the diameter of the drum = 8 feet
Radius of the drum =
=
= 4 feet
Radius of the drum = 4 feet
1 revolution = circumference of the drum
circumference of the drum = 2r
where r is the radius.
So that;
circumference of the drum = 2 x x 4
=
= 25.143
circumference of the drum = 25.143 feet
The linear velocity of the cable = (13 x 25.143) feet per minute
= 326.859 feet per minute
The linear velocity of the cable ≅ 327 feet per minute.
Check the picture below.
notice, when dividing we have to put the dividend in descending order, now, the cubic, square and single terms are there, but they have a coefficient of 0, as you see in the picture in green, so we add those properly.
