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2 years ago

PLZZZZ HELP ME! Marcus has a box that is 4 1/2 feet long, 1/2 foot wide, and the 2 feet high. What is the volume of the box?

Mathematics

1 answer:

Goryan [66]2 years ago

3 0

Answer:

4.5

Step-by-step explanation:

4.5*.5*2

4.5*(1)

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Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006,

anastassius [24]

Answer:

Step-by-step explanation:

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2 years ago

Find the number to which the sequence {(3n+1)/(2n-1)} converges and prove that your answer is correct using the epsilon-N defini

Nat2105 [25]

By inspection, it's clear that the sequence must converge to $\dfrac32$ because

$\dfrac{3n+1}{2n-1}=\dfrac{3+\frac1n}{2-\frac1n}\approx\dfrac32$

when $n$ is arbitrarily large.

Now, for the limit as $n\to\infty$ to be equal to $\dfrac32$ is to say that for any $\varepsilon>0$ , there exists some $N$ such that whenever $n>N$ , it follows that

$\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|$

From this inequality, we get

$\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|=\left|\dfrac{(6n+2)-(6n-3)}{2(2n-1)}\right|=\dfrac52\dfrac1{|2n-1|}$
$\implies|2n-1|>\dfrac5{2\varepsilon}$
$\implies2n-1\dfrac5{2\varepsilon}$
$\implies n\dfrac12+\dfrac5{4\varepsilon}$

As we're considering $n\to\infty$ , we can omit the first inequality.

We can then see that choosing $N=\left\lceil\dfrac12+\dfrac5{4\varepsilon}\right\rceil$ will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that $N\in\mathbb N$ .

6 0

2 years ago

Um soo they make me do dis but pls help? 14 points

Agata [3.3K]

Answer:

3 more than

Step-by-step explanation:

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2 years ago

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Find the area of a circle with a diameter of 6. Either enter an exact answer in terms of pi or use 3.14 for pi

ankoles [38]

So it gives you the diameter but you need the radius of the circle to find the area so to find the radius you just divide the diameter by two. the formula for the area of a circle is A=pi*r^2 so you just multiply 3.14 by 3 squared so you just put it in the calculator as A=3.14*3^2 and you get 28.26 hope this helped

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2 years ago

Which expression can be used to find measure angle R

Novay_Z [31]

Answer:

cos-1(-4/14)

Step-by-step explanation:

4.5=r

3.5=s

2=t

By law of cosines:

$r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )$

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2 years ago