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dimulka [17.4K]
3 years ago
7

Please help fastit's for a quiz​

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer:

B

Step-by-step explanation:

5 pi > 15

\pi = 3.14

5 * 3.14 > 15

15.7 > 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
2x-y=3<br> -x-y=3 <br><br> what does this equal system of equations
Jet001 [13]

Topic : Linear equations in two variables.

Given :

  • 2x - y = 3 ––– (i)
  • - x - y = 3 ––– (ii)

Solution :

Now,

(i) – (ii)

\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}

\qquad \sf \: { \dashrightarrow 2x - y  +  x  + y) = 3 - 3}

\qquad \sf \: { \dashrightarrow 3x = 0}

\qquad \bf \: { \dashrightarrow x = 0}

Now, substituting the value of x in Eq (i) :

\qquad \sf \: { \dashrightarrow 2x - y = 3 }

\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }

\qquad \sf \: { \dashrightarrow 0- y = 3 }

\qquad \bf \: { \dashrightarrow  y =  - 3 }

Therefore,

  • <u>The value of x = 0 and y = -3</u>
3 0
2 years ago
What is π in fraction and decimal
alex41 [277]

Answer:

Pi =  3.14/1  3.14

Step-by-step explanation:

Hope this helps.

5 0
3 years ago
20 POINTS AND BRAINLIEST PLZ HELP
mojhsa [17]

Answer:

4

Step-by-step explanation:

Recall that for a function f(x) and for a constant k

f(x+k) represents a horizontal translation for the function f(x) by k units in the negative-x direction.

Hence f(x+k) is simply the graph of f(x) that has been moved left (negative x direction) by k units.

From the graph, we can see that g(x) = f(x+k) is simply the graph of f(x) that has been moved 4 units in the negative x-direction.

hence K is simply 4 units.

6 0
3 years ago
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What is the value of X?
matrenka [14]

Answer:

48

Step-by-step explanation:

The sum of angles of a triangle is 180

<V + <P + <M = 180

47+85+x = 180

132 +x = 180

Subtract 132 from each side

132-132+x = 180-132

x =48

3 0
3 years ago
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