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lisabon 2012 [21]
2 years ago
9

What is the slope of the line passing through (16, -2) and (-30, 6)?

Mathematics
2 answers:
Travka [436]2 years ago
7 0
- 4/23 is what i got
Novay_Z [31]2 years ago
5 0

m=\frac{\Delta y}{\Delta x}=\frac{-2-6}{16-(-30)}=\frac{-8}{46}=\boxed{-\frac{4}{23}}.

Hope this helps.

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Determine whether the following series converges or diverges using the integral test. Be sure to verify that the integral test c
Finger [1]

By using the integral test, series converges

What is an integral test for convergence and divergence?

⇒ It is used to prove the divergence or convergence of series. This test is called the integral test, which compares an infinite sum to an improper integral. It is important to note that this test can only be applied when we are considering a series whose terms are all positive.

How to know if a series is converging or diverging?

If the limit exists and is a finite number (a number less than infinity), we say the integral converges. If the limit is ±∞ or does not exist, we say the integral diverges.

let aₓ= f (x) is any function

⇒ In order for the integral test to work The function must be positive it has to be continuous and it has to be decreasing when x≥1

If the integral converges it means the series is also converging

If the integral diverges it means the series is also diverging

The sequence k^{3} /{e^{k^{4} } is clearly positive and decreases for k∈N then by the integral test,

\int\limits^\infty_1 {x^{3} /e^{x^4} dx \leq\displaystyle \sum^{\infty}_{k = 1} {x^{3} /e^{x^{4}

and

\int\limits^\infty_1 {x^{3} /e^{x^4} dx=1/4\int\limits^\infty_1 {x^{3} /e^{-u} du

⇒ 1/4 < \infty

So it comes with a finite value hence the series converges

Learn more about the integral tests here :

brainly.com/question/15394015

#SPJ1

4 0
11 months ago
Read 2 more answers
After studying the diagram shown, Michael makes the following conclusions:
inn [45]

Answer:

Therefore, Michael concludes option C)

C)(DA)^{2}=(DG)^{2}+(AG)^{2}

Step-by-step explanation:

Given:

1. DG = 3 and the area of square DEFG is 9.

2. AG = 4 and the area of square GHIA is 16.

3. DA = 5 and the area of square ABCD is 25.

So we have,

(DG)^{2}=3^{2}=9\\ \\(AG)^{2}=4^{2}=16\\\\(DA)^{2}=5^{2}=25\\

Now Add DG² and AG² we get

(DG)^{2}+(AG)^{2}=9+16=25=(DA)^{2}

Which is also called as  Pythagoras theorem i.e

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Therefore, Michael concludes option C)

C)(DA)^{2}=(DG)^{2}+(AG)^{2}

3 0
3 years ago
What is the measure of angle x?<br><br> Enter your answer in the box.<br><br> ? º
hichkok12 [17]
56 + 41 + x = 180
97 + x = 180
x = 180 - 97
x = 83 <==
7 0
3 years ago
Read 2 more answers
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1960 mailboxes t
DiKsa [7]

Answer:

Yes

Step-by-step explanation:

6 0
3 years ago
Please help! Will pick Brainliest for the right answer!!!
Fynjy0 [20]

Answer:

3/5

4/3

2/1

3/1

Step-by-step explanation:

turn them to ratios and fractions and try to simplify

3/5=3/5

4/3=4/3

2/1=2/1

6/2=3/1

so put the end results in order

so all of them have a bigger numerator than denominator, except one. 3/5. Thats the slowest one.

4/3 isn't quite 2 wholes, but 2/1 is, so 4/3 is second last and 2/1 is second.

3/1 is the first.

4 0
3 years ago
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