Prove the following by induction. in each case, n is apositive integer.
2^n ≤ 2^n+1 - 2^n-1 -1.

We rewrite the inequality as follows:

Which is true because n was given to be a positive integer.

3/20

step-by-step explanation:

well, there are 20 outcomes, and 3 of them you want. so, 3/20

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .