D<x =8 18+6 is 24 and 24/3 is 8
Answer:
1) first two (A & B)
2. -1,533
Step-by-step explanation:
Sum to infinity is finite when
-1 < r < 1
Option 1: r = -¼
Option 2: r = 27/81 = ⅓
Option 3: r = 3/2
Option 4: r = 17.75/7.1 = 2.5
a = -3
r = -6/-3 = 2
S9 = -3 × (2⁹ - 1)/(2 - 1)
= -1533
Answer:
1/24
Step-by-step explanation:
Let the side length of each of the squares cut out be x inches.
The volume of the box will be:-
V = x(19 - 2x)(11 - 2x)
V = x( 209 - 38x - 22x + 4x^2)
V = x(209 - 60x + 4x^2)
V = 209x - 60x^2 + 4x^3
For maximum/minimum volume we find the derivative and equate to zero:-
dV/dx = 209 - 120x + 12x^2 = 0
solving for x:-
x = 7.75 , 2.25
For maximum volume evaluate the second derivative:-
d^2V/dx^2 = 24x - 120
for x = 2.25 second derivative = 24(2.25) - 120 = -66 so x = 2.25 gives a maximum volume.
Answe:- r the dimensions of the squares is 2.25 * 2.2.5 inches
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