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3 years ago

Which of these questions are equivalent to 1/4

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

7 0

B) 2/8 that’s the answer :p

alex41 [277]3 years ago

7 0

It would be B 2/8 !!!!!

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(1 pt) Let an=n+1n+3. Find the smallest number M such that: (a) |an−1|≤0.001 for n≥M M= 1997 (b) |an−1|≤0.00001 for n≥M M= 20000

xenn [34]

We want to prove

$\displaystyle\lim_{n\to\infty}\frac{n+1}{n+3}=1$

which is akin to saying that, for any given $\varepsilon>0$ , we guarantee that

$\left|\dfrac{n+1}{n+3}-1\right|$

for all $n$ exceeding some threshold $N=N(\varepsilon)$ .

We want to end up with

$\left|\dfrac{n+1}{n+3}-1\right|=\left|-\dfrac2{n+3}\right|=\dfrac2{n+3}$

$\implies\dfrac{n+3}2>\dfrac1\varepsilon\implies n>\dfrac2\varepsilon-3$

which suggests that we guarantee that $a_n$ is arbitrarily close to 1 if $N=\left\lceil\dfrac2\varepsilon-3\right\rceil$ . (Take the ceiling to ensure $N$ is a natural number.)

Now for the proof: Let $\varepsilon>0$ be given. Then for $n>N=\left\lceil\dfrac2\varepsilon-3\right\rceil$ we have

$n>\left\lceil\dfrac2\varepsilon-3\right\rceil\le\dfrac2\varepsilon-3\implies\dfrac2{n+3}$

QED

3 0

4 years ago

(2x²+6x-3)+(3x²-8x-6)

Tomtit [17]

$(2x^2+6x-3)+(3x^2-8x-6)\\\\=2x^2+3x^2+6x-8x -6 -3\\\\=5x^2-2x-9$

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2 years ago

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PLEASE HELP! <br> What is the length of side s of the square shown below!w?

Aloiza [94]

Answer: 2

Step-by-step explanation: because the x in the middle has to be the same

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3 years ago

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The baseball team has a double-header on Saturday. The probability that they will win both games is 42%. The probability that th

netineya [11]

This problem fits the conditional probability formula very well. The formula is P(B|A) = P(B ∩ A)/P(A). If event A is winning the first game, and event B is winning the second, then P(B ∩ A) = 0.44, and P(A) = 0.6. So P(B|A) is obtained by dividing 0.44 by 0.6, which is about 0.733.

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3 years ago

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What are the steps for this problem<br> 2/6m+2=6

beks73 [17]

$\frac{2}{6} m+2=6\\ \frac{1}{3} m=4\\ m =12$

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3 years ago