Answer:
a) N = 2^8 = 256
b)N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1
Step-by-step explanation:
Given;
String of length 8, with two options (0 or 1) each.
a) for the number of bits of strings of length 8.
Each digit of the 8 digit string has 2 options.
For 8 digit, we have
N = 2×2×2.... = 2^8 =256
b) for bit of strings of length 8 or less.
For n string = 2^n
For n < 8
The number of bit strings for length 8 or less are;
N = N8 +N7 + N6 + ... +N1
N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1
<span>f(–1.1) = 4(-1.1)^2 / [(-1.1)^3 + 3]
</span>f(–1.1) = 4.8 / 1.7
f(-1.1) = 2.8
answer
<span>2.8</span>
Answer:
The equivalent expression can be given as:
⇒ 
Step-by-step explanation:
Given expression:
To write an equivalent expression:
Solution:
In order to write an equivalent expression, we will combine the like terms. By like terms, we mean the terms with the same variable constant.
For example : 
and 
are like terms.
We have:
Combining like terms :
⇒ 
⇒
Thus, the equivalent expression can be given as:
⇒
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
94.2 in would be your answer
