Pls help 10 points what 3d object is generated by rotating the rectangle about the x-axis.
a. a cylinder. with a radius of 2 and height 4
b. a cone with a radius of 4 and height 2
c. a cone with radius2 and height 4
d. a cylinder. with a radius of 4 and height 2

D-A cylinder with a radius of 4 and height 2

Step-by-step explanation:

A and C are wrong because the height is 2 units up, so A and C aren’t the answer. Which leaves two: B and D. It wouldn’t generate a cone, therefore the answer is D.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.