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.
Cos(39) + x/17
x = 17cos(39)
x = 13.2<span>1148134</span>
Answer:
Can you add a picture or visual model if there is one?
Step-by-step explanation:
Answer:
Second option. "Sue wants to cover the lid of a box with paper. How much paper should she buy?"
Explanation:
The first option relies upon volume.
The last two options relies on side lengths.
The second option is relies on area because you have to calculate the area of the lid to know how much paper can be used to cover it.
I believe the answers are A. The account earns about 1.03% interest each year. and D. Tatiana's starting balance was $500.
I hope this helps