I need help with my math homework.

Answer:

L = 7/6 , and the correct option is B, the series diverges.

Step-by-step explanation:

Here we have that:

[tex]an = \frac{(3n + 3)*7^n}{6^{n+4}}[/tex]

Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:

[tex]a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}[/tex]

We can simplify the right part to get:

[tex]\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}= \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}[/tex]

[tex]\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}[/tex]

Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.

The first derivatives are:

For the denominator: (3*6)

For the numerator: (3*7)

Then we need to find the limit as n goes to infinity to:

[tex]\frac{3*7}{3*6} = \frac{7}{6}[/tex]

But this does not depend on the value of n, then the limit is just 6/7.

L = 7/6

And 7/6 > 1.

Then we can conclude that our series diverges.

Answer:

12 X=2.2

13. y = 6.4

14. m= 8.5

15. z=9.9

16. n= 18.4

17. X= 5.8

Answer:

4 pencils

Step-by-step explanation:

3*1.45 = 4.35 ---> spent for the pens

( 10 -[ 4.35 + 2.05] ) = money spent on pencils

0.9x= 3.6

x=3.6/0.9 = 4

Answer:

x = (-b±(√b²-4ac))/2a

Step-by-step explanation:

Here's a mnemonic I use to remember the quadratic formula:

The bad (negative) boy was deciding (plus or minus) whether to go to a radical (radical) party or be squared (b²) and miss out (minus) on four awesome chicks<-- don't really like that word, I use creatures lol (4ac) and the party was over at 2 AM (all over 2a).

Answer:

20 Divided By 5 = 4 or 5 x4 = 20

Step-by-step explanation:

Answer:

La cantidad de grados del intervalo de temperaturas registradas en el día de febrero mencionado es de:

Step-by-step explanation:

En estadística, cuando se utilizan intervalos como valores para identificar datos cuantitativos, como en este caso temperaturas registradas, deben tomarse todos los valores, en este caso enteros, desde el límite inferior (temperatura mínima) hasta el límite superior (temperatura máxima), por lo cual no se puede restar el valor máximo al valor mínimo, sino que debes identificar todos los valores y después contarlos. En el caso del ejercicio dado, los grados en el intervalo mencionado son:

Como puedes ver, los grados en el intervalo de temperaturas registradas serían 5.

Answer:

30 mile per gallon

Step-by-step explanation:

60/2=30

Answer:

30 miles/ 1 gallon

Answer:

5955.08

Step-by-step explanation:

First year: 5000×(6÷100)=300

Second year : 5300×(6÷100)=318

Third year : 5618×(6/100)=337.08

And = 5955.08

Answer:

y = 10x

Step-by-step explanation:

When x = 2, y = 20

When x = 5, y = 50

When x = 7, y = 70

In each of these examples, y = 10 * x.

The answer is y = 10x.

Answer:

12

Step-by-step explanation:

So 4:5:6 = 45

4+5+6 = 15

45/15 = 3

Since 4 is the smallest, 4*3 = 12.

Hope this works!

Answer:

Step-by-step explanation:

This is a question worth knowing how to do. It is prime candidate for a test question.

Equation

Let the unit be x

therefore

4x + 5x + 6x = 45

Solution

15x = 45

x = 45/15

x = 3

The shortest piece is 4*3 = 12

The middle piece = 5*3   = 15

The longest piece = 6*3 = 18

Total                                    45

Step-by-step explanation:

42×80 =3360

I hope this answer help you.

Answer:

80 times 42.=80×42=3360

ur question is incomplete

Answer:

19

Step-by-step explanation:

So if you want to find out what x is then you would try to find 95% of 20 which is 19. She made 19 of her free throws.

Answer:

The answer is

[tex]y = 19[/tex]

Step-by-step explanation:

Since

[tex]y = mx + c \\ m = 0 \\ c = 19 \\ y = 0 \times x + 19 \\ y = 19[/tex]

Answer:

150 meters

Step-by-step explanation:

Since 1 x 30 gives the 30

5 x 30= 150

Answer:

The mixed number is 5  2 ÷ 3

Step-by-step explanation:

The computation of the number of yards of fabric does Jacob use is shown below:

Given that there is 17 yards of fabric

And, it used one third of it

So the number of yards would be

= 17 ÷ 3

= 5 2 ÷ 3

Hence, The mixed number is 5  2 ÷ 3

Answer: I think you have to start at 10 and go up i may be wrong but i think you get your answer that ay if I'm right

Step-by-step explanation:

Answer:

You go up ten spaces and then you get the placements of the letters

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

96+96+84=276

360-276=84

Answer:

B) Yes

Step-by-step explanation:

2=4(1)-2

2=4-2

Yes.

2=10(1)-8

2=10-8

Yes.

Answer:20

Step-by-step explanation:

I got it right on my test

Answer:

20

Step-by-step explanation:

just took the test :)

Answer:

We can order 35 different types of pizza based on the toppings.

Step-by-step explanation:

There are 3 different types of pizza crust which a person can choose for his pizza. On Monday's company has introduced new campaign in which a person can choose extra toppings of his choice at no additional cost. The topping are of 7 different types. The total number of different pizza which a person can have is 7C3. Solving through computation technique we get 35.

Answer:

(x-4)(x-5)

That is the answer, hope it helps.

Answer:

Here is it answer

Step-by-step explanation:

4+√2/2+√2 × 2-√2/2-√2

8+2√2-4√2-2/(2)^2-(√2)^2

6-2√2/4-2

(3-√2)

therefore 3-√2

mark as brainliast

a=3

b=2

Answer:

Yes

a triangle is any three sided figure, so yes he did

Step-by-step explanation:

Answer:

14>10

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8

Step-by-step explanation:

Answer:

-4.2

-3.5,

-2.1,

-1

-1.5

-0.5

1

3.5,

4.8

Step-by-step explanation: Please feel free to point out if I'm wrong or if I missed any (i did spaces so you could see easier, also from top to bottom is least to greatest)

Answer:

the answer is 15

Step-by-step explanation:

because 110÷7$

The maximum number of 15 cherry pies she can buy.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Simone is buying pies for a party.

One cherry pie costs $7,

and one apple pie costs $5.

If Simone needs to buy at least 18 pies and has no more than $110 to spend,

the maximum number of cherry pies,

= 110/7

= 15.71.

If 15 cherry pies, then 3 apple pies.

The total amount = 15 x 7 + 3 x 5

= 110

Therefore, 15 is the maximum number.

To learn more about the division;

https://brainly.com/question/13263114

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