Answer:
Since a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Step-by-step explanation:
Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1
Since 
= a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.
Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb and
a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.
So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Answer:
exact: 48pi cm^2
approximate: 150.8 cm^2
Step-by-step explanation:
SA = 2 * (pi)r^2 + 2(pi)rh
SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm
SA = pi(18 cm^2 + 30 cm^2)
SA = 48pi cm^2
SA = 150.8 cm^2
Answer:
Put p(x)=0.
Step-by-step explanation:
2x-1=0 will give x=1/2. This means, If x=1/2 is given to the polynomial p(x), it will give a zero. P(1/2)=0.
Answer:
D
Step-by-step explanation:
eh too lazy to explain but plz trust me
Answer:
The answer to your question is A = 200.96 u²
Step-by-step explanation:
Data
Radius A = 6
Radius B = 2
π = 3.14
Area = ?
Formula
Area = πr²
Process
1.- Calculate the radius of the large circle
Radius = radius of circle A + radius of circle B
Radius = 6 + 2
Radius = 8
2.- Substitute in the formula
Area = (3.14)(8)²
Area = 3.14(64)
Area = 200.96 u²
