Answer: 30.48
Step-by-step explanation:
Sum the series of 30.48 + (1/2)(30.48)+ (1/4)(30.48)+(1/8)(30.48)+(1/16)(30.48)+(1/32)(30.48)
Or use an Excel spreadsheet
Answer:
b is 16 d is 13
Step-by-step explanation:
ok is a baby girl that can I be happy
Answer:
-5/9 ≥ 5k
Step-by-step explanation:
no less than means greater than or equal to because -5/9 is the lowest it can go (nothing less than), meaning that number or higher. 5 times a number k is just 5 times k, which is 5k to the inequality is
-5/9 ≥ 5k
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
