Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the 
is convergent
Therefore,
(a) 
The power series 
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) 
-8 could be right on the edge of the interval of convergence, and so might not converge
Answer:
8 sides
Step-by-step explanation:
let x be the exterior angle then 3x is the interior angle
interior angle + exterior angle = 180° , then
x + 3x = 180
4x = 180 ( divide both sides by 4 )
x = 45
the sum of the exterior angles of a polygon = 360°
since the polygon is regular with each exterior angle = 45°, then
number of sides = 360° ÷ 45° = 8
To solve this equation with algebra
4/7 = 1/x
(4/7)x = (1/x)x
4x/7 = 1
(4x/7)7 = 1(7)
4x = 7
4x/4 = 7/4
x = 1.75
1.75 yards of fabric are needed to make 1 dress.
Hope this helps! <3
Answer:
w=4
Step-by-step explanation:
The surface area of a prism is SA= 2lw+2lh+2hw
We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.
240=(2*12*w)+(2*12*5)+(2*5*w)
24w+120+10w
240= 34w+120
-120 -120
120= 34w
120/34 = 34w/34
w is approximately equal to 3.5 which can be rounded to 4
w=4
Hope this is right! It was confusing at first but I understood it!
