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wariber [46]
3 years ago
7

This diagram is not drawn to scale. Based on the information in the diagram, which of the following statements are true? Select

all that apply.
FG>FH
FG>EH
FE>FG
EH>FG
GH>FG

Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Answer: eh fg

Step-by-step explanation:

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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
A squirrel moved 200 meters in 7,200 seconds. What was the speed of the squirrel in meters per hour? *
kati45 [8]

Answer:

100 meters per hour.

Step-by-step explanation:

7,200 seconds / 60 = 120 minutes

120 minutes / 60 = 2 hours

200 meters / 2 hours = 100 meters

Since the squirrel moved 200 meters in 2 hours, the squirrel moved 100 metres per hour.

7 0
3 years ago
Need help with this please!!
rewona [7]
That reminds me, I have to go check if my kid's tent is ready for camp.

The volume of this triangular prism tent will be the area of its base times its length, six feet here.   The area of the triangle is of course half the base times the height.

If we call the height h we get 

36 = (1/2) (4)(h)(6)

36 = 12 h

h = 3 feet

Most folks can sit in a 3 foot tall space, but it's a little tight, especially with your head squeezed up there near the apex.



6 0
3 years ago
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Which number sentence matches the question below?
Katarina [22]

The equation which represent number of days is 87 ÷ n = 3

<h3>What is Division?</h3>

It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Here,

total hour practicing = 87 hours

Daily hours for practicing = 3 hours

total number of days = n days

Now, according to question;

n X 3 = 87

87 ÷ n = 3

Thus, the equation which represent number of days is 87 ÷ n = 3.

Learn more about Division from:

brainly.com/question/21416852

#SPJ1

8 0
2 years ago
Need help with math problem if do get 5 star
Luda [366]

Answer:

S

Step-by-step explanation:

The first co-ordinate (1) will be on the x-axis, so we go across to the first square. Then you go 3 up the y-axis because of the second co-ordinate, and that is where S is.

Hope this helps!

6 0
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