3 years ago

Need help! Anyone know?

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

6 0

It’s 90 degrees because it’s a right angle

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Step-by-step explanation:

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3 years ago

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If the surface area of a cube is 390cm squared, then which best describes the length of the side of the cube?

Airida [17]

It is the square root of 65

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3 years ago

(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

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4 years ago

How do you write the equations

mote1985 [20]

Answer:

go on khan academy they helped out alot

Step-by-step explanation:

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3 years ago

Select the correct answer.

Anastasy [175]

Answer: D. 10

Step-by-step explanation:

4/3 (x + 8) = 24

Multiply both sides by 3/4....

x + 8 = 18

x = 10

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4 years ago