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Paul [167]
2 years ago
11

Pls help me i really am behind

Mathematics
1 answer:
Lemur [1.5K]2 years ago
5 0

Answer:

A

Step-by-step explanation:

(8-3^2)*9-6

8-9*9-6

-1*9-6

-9-6

-15

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There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one. EXPL
Gennadij [26K]

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 \lim_{n \to \infty} \frac{a}{2^{n}b } = 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.

3 0
3 years ago
If AB = 12 and CB = 10, then the height of the triangle is:
Ierofanga [76]
AD = DB = AB/2 = 6
cd = \sqrt{{bc}^{2} - {db}^{2} } \\ cd = \sqrt{64} \\ cd = 8
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=5%20%7B%7D%5E%7Bn%20%2B%201%7D%20%20%2B%205%20%7B%7D%5E%7Bn%20%2B%202%7D%20" id="TexFormula1"
alex41 [277]

Step-by-step explanation:

there 5^(n+1) + 5^(n+2) = 5^n x 5^1 + 5^n x 5^2 breaking them as x^(a+b) = x^a x x^b

then taking common 5^n from both terms

5 0
3 years ago
Miguel rode his bicycle 4 miles less than 5 times the number of miles that Nathan rode. If Miguel rode his bicycle 6 miles, how
salantis [7]
5n-4 = 6 gives the equation for 5 times #Nathan rode less 4 miles which solves to n = 2
Nathan rode 2 miles. (5*2)-4 = 6   10-4=6 so 2 miles is right
4 0
3 years ago
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Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort.
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The answer is 0.5m cubed.
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2 years ago
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