How is 6.3 written in scientific notation? 6.3 times. 100 63 times. 10–1 6.3 times. 101 63 times. 100
1 answer:
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Answer: <em>$20.56</em>
Step-by-step explanation:
<em>Let's take our given total and use this equation</em>
<em>25.70(n)</em>
<em>n will equal 0.80 in this case, as they left a 20% tip so we need to find out what 80% of 25.70 is first</em>
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<em>$20.56 is the total without the tip!</em>
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.