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PtichkaEL [24]
3 years ago
14

How do you do this question?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0

Answer:

∑ (-1)ⁿ⁺³ 1 / (n^½)

∑ (-1)³ⁿ 1 / (8 + n)

Step-by-step explanation:

If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.

Option A: (-1)²ⁿ is always +1.  So an =│an│and both series converge (absolutely convergent).

Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).

Option C: an = 1 / n³ isn't an alternating series.  So an =│an│and both series converge (p series with p > 1).  This is absolutely convergent.

Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series.  bn = 1 / (8 + n), which diverges.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

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Help me pls i’ll give brainliest to whoever is right!
Whitepunk [10]

Answer:

M=10

Step-by-step explanation:

Hope this helped :3

it was hard to describe it typed so I drew it on the picture.

to find slope:

(x2-x1) / (y2 - y1)

here a website to help you find slope a little better :3

https://www.omnicalculator.com/math/slope

7 0
3 years ago
Solve for b in the formula A=1/2h (B+b)
balandron [24]
It’s going to be 1/2B3
5 0
3 years ago
Read 2 more answers
Algebra 2 help needed asap
gtnhenbr [62]

Answer:

The number of beads Emery uses to calculate how many 4 necklaces and 7 bracelets are 152 beads.

Step-by-step explanation:

This is a simultaneous equation.

let's make n the number of necklaces, and b the number of bracelets.

8n + 3b = 172. 1st equation

1n + 5b = 77. 2nd equation.

you have to make one of the Bs or the Ns the same.

I chose B. it doesn't matter which side you choose.

40n + 15b =860. I multiplied by 5

3n + 15b =231. I multiplied by 3

then you subtract. because the signs are the same.

40n - 3n = 37n, 15n - 15n = 0, 860 - 231 = 629

37n =629. we divide both sides by 37

n = 17. one necklace has a total of 17 beads.

we substitute to find the number of bracelets (b).

choose any of the 1st or 2nd equations.

1n + 5b = 77

(17) + 5b = 77

5b = 77- 17

5b = 60

b = 12. one bracelet has a total of 12 beads.

NOW: find how many beads Emery uses to calculate how many 4 necklaces and 7 bracelets.

equation: 4n + 7b = ?

4(17) + 7(12) = 152

which means there are 152 beads.

YOU SHOULD BE GRATEFUL. :D

8 0
3 years ago
The scientific notation 3.14 x 10 -3 has what value? <br> 0.000314<br> 0.00314<br> 0.0314<br> 0.314
Bingel [31]
3.14 x 10⁻³ has the value 0.00314

The exponent tells us the number of times the decimal has to move. The sign of the exponent tells us the direction of the movement of the decimal.

The negative sign of the exponent means that the decimal has to move to the right.

From 0.00314, decimal move to the right 0003.14

If the decimal is positive, it means that the decimal point moved to the left of the number.

3.14 x 10³ in expanded form is 3140 

From 3140. decimal move to the left 3.140


3 0
3 years ago
Find the maximum and minimum values of the objective function f(x, y) and for what values of x and y they occur, subject to the
Lady_Fox [76]

Given that <em>f(x, y)</em> is a linear function, and the constraints themselves are also linear, it follows that the vertices of the feasible region are the sites of extrema of <em>f(x, y)</em>. So just find where each boundary line intersects with another line, and check the value of <em>f(x, y)</em> at each intersection.

We have

• <em>x</em> = 0 and <em>y</em> = 0   ===>   (0, 0)

• <em>x</em> = 0 and 2<em>x</em> + 7<em>y</em> = 70   ===>   <em>y</em> = 10   ===>   (0, 10)

• <em>y</em> = 0 and 8<em>x</em> + 4<em>y</em> = 136   ===>   <em>x</em> = 17   ===>   (17, 0)

• 2<em>x</em> + 7<em>y</em> = 70 and 8<em>x</em> + 4<em>y</em> = 136   ===>   (14, 6)

At these points, we respectively get

• <em>f</em> (0, 0) = 0

• <em>f</em> (0, 10) = 60

• <em>f</em> (17, 0) = 34

• <em>f</em> (14, 6) = 64

Then max <em>f(x)</em> = 64 at (14, 6) and min <em>f(x)</em> = 0 at (0, 0).

5 0
3 years ago
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