Mathematics High School

Determine whether the series is convergent or divergent.
[infinity] 9
en+
3
n(n + 1)
n = 1
convergentdivergent

Answers

Answer 1

The given series is divergent.

We can determine the convergence or divergence of the given series using the nth term test. According to this test, if the nth term of a series does not approach zero as n approaches infinity, then the series is divergent.

Here, the nth term of the series is given by 9e^(n+3)/(n(n+1)). We can simplify this expression by using the fact that e^(n+3) = e^3 * e^n. Therefore, we have:

9e^(n+3)/(n(n+1)) = 9e^3 * (e^n / n(n+1))

As n approaches infinity, the term e^n grows faster than n(n+1). Therefore, the expression e^n / n(n+1) does not approach zero, and the nth term of the series does not approach zero either. Thus, by the nth term test, the series is divergent.

Therefore, the given series is divergent.

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.

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Answer:
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Explanation:

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Answer:

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Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.

1.
[tex]y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12[/tex]
​

Answers

Answer:

See the attached

Step-by-step explanation:

y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graph is the out of range region.

Answer:

  {(1, 0), (2, 0), (2, 1)}

Step-by-step explanation:

In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.


Solve for x:
(a) 4x - 21 = 5 - 9x​

Answers

Answer:

X = 2

Step-by-step explanation:

First we'll need to simplify this equation:

Add 9x on both sides:

13x - 21 = 5

Add 21 on both sides:

13x = 26

Divide 26/13

26/13 = 2

X=2

(You can check this yourself by plugging x into the equation)

Si al número de grados sexagesimales que contiene un ángulo se le resta 13, y a
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

For this type of albreic question you want to simplify

4x^2+14x+6=9x^2-6x+1

first you take the common integers(That might not be the right word)

4x^2+14x+6=9x^2-6x+1

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Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because 2^ 3= 16 so you can pull it out.

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Answers

Answer:

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Answers

Answer:

-7x-8=0

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Answer:

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Step-by-step explanation:

two negatives equal one positive.

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x=.....

Answers

Answer:

Equation of axis of symmetry is x = 2

Step-by-step explanation:

The equation of the parabola is given as;

y = -2x² + 8x - 7

The equation of the axis of symmetry is given by;

x = -b/2a

In the parabola equation given and using letters of quadratic equation, we can say that;

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Ann wants to spend at most \$8.50 on school supplies. She needs to purchase a binder ( costs $6.89) and wants to spend the rest on pens, which cost $ 0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

A. 0.59x + 6.89 < 8.50

B. 0.59x + 8.50 < 6.89

C. 6.89x + 0.59 < 8.50

D. 8.50x + 6.89 < 0.59

Please help

Answers

Answer:

I think it is A. Sorry if I am wrong

Step-by-step explanation:

Priya is making burgers for a party. She has 5 pounds of meat and uses 1/3 of a pound for one burger. How many burgers can priya make?

Answers

Answer: Priya can make 15 burgers with 5 pounds of meat

Step-by-step explanation:

Step 1

From Priya's receipe,

1 burger can be made from  1/3 of a pound of meat  

  How many burgers can be made from 5 pound of meat

Step 2 Using the equation below, that

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Steps:
Answer:

Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

420

Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

$37.50

Step-by-step explanation:

$60 x .25 = $15 (tip)

$60 (meal) + $15 (tip) = $75

$75 ÷ 2 (# of people splitting the cost) = $37.50

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

delete this

boop uwu

Answer:

No solutions

Step-by-step explanation:

4(2r + 3) = 15r - 11 + 1 - 7r

Distribute:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Write a system of equations to represent this situation. DO NOT SOLVE.
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Answers

Answer:

2x+3y=5.15

Step-by-step explanation:

The answer is : x + y = 2,10
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