Answer:
Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms
Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728
Now,

So,

Therefore, number of terms is 6
X = - 1/2
In other way is x = -0.2 , x = -5^-1
Answer:
7 
Step-by-step explanation:
volume is length X width X height
since a cube has the same measurement for length, width, and height, the volume is found by multiplying
X
X ![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
the answer is 7
Answer:
<u>Option D: A cylinder with a circumference of about 50 units</u>
Step-by-step explanation:
The rest of the question is the attached figure.
The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr
===================================================
Given: the perimeter of the square = 32
perimeter of a square is four times the length of its side
So, the side length of square = 32/4 = 8 units
The square is rotated about line k.
So, it will form a cylinder with radius 8 units.
Circumference of a circle = 2 π r
Where, r is the radius of the circle.
Circumference of the base is C = 2 π * 8
∴ C = 16π = 16 * 3.14
∴ C = 50.26548 ≈ 50
The shape is created by the rotation is a cylinder with a circumference of about 50 units.
<u>So, the answer option is D.</u>
Answer:C=2πr=2·π·2≈12.56637in
Step-by-step explanation: