Look at the number below.
6642
How is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
A It is six times greater.
B
It is ten times greater.
С
It is one hundred times greater
The values of the digits are the same.

The sequence converges to a limit of 1/2.

We have,

Let's simplify the nth term of the sequence:

an = (n^2 + 3n) / (2n^2 + 5)

Dividing both the numerator and denominator by n^2, we get:

an = (1 + 3/n) / (2 + 5/n^2)

As n approaches infinity, the terms 3/n and 5/n^2 both tend towards zero.

Therefore, we have:

an = (1 + 0) / (2 + 0) = 1 / 2

The nth term of the sequence simplifies to a constant value of 1/2 as n approaches infinity.

Since the nth term converges to a specific value (1/2), the sequence itself is convergent.

The limit of the sequence is 1/2.

Thus,

The sequence converges to a limit of 1/2.

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The complete question:

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the sequence diverges, enter DIVERGES.)

Consider the sequence defined by the nth term an = (n^2 + 3n) / (2n^2 + 5).

Answer:

2.7

Step-by-step explanation:

you substitute x in f(x) with 3 then get your answer which is 10 then substitute 10 for x in the formula g(x)

Answer:

I BELIEVE the answer is 3.

Step-by-step explanation:

However, I could be wrong, but I do know it's between 1 and 3.

Answer: graph b

Step-by-step explanation:

Answer:

Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000

Simplify the improper fraction,

=43991000

In conclusion,

4.399=43991000

We have that [tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]

[tex]\frac{4399}{1000}[/tex]

From the Question we are told that

Write 4.399 as a ratio of two integers

Generally to reduce 4.399 to an improper fraction we have that

[tex]\frac{4399}{1000}=4.399[/tex]

Improper action representation of the given integer

We proceed to reducing the fraction .We see that the are no means to reduce the fraction

Therefore

[tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]

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Answer:

it is already an equation

Step-by-step explanation:

Answer:

Already and equation!

Step-by-step explanation:

Answer: There is 1,000 milligrams in 1 gram.

Answer:

1000mg

Step-by-step explanation:

to be honest that's the obvious answer

and in advance

1kg=1000000mg

1kg=1000g

1g=1000g

Answer:

A

and the answer to part b is

C

Step-by-step explanation:

Answer:

the other man is right

Step-by-step explanation:

a then c so have nice day love yall

Answer:

30000000000000000.. ....

Answer:

Area of rectangle = (l×b)

=14×6

=84 metre²

Perimeter of rectangle= 2×(l+b)

=2×(14+6)

=2×20

40 metre/cm {as it is not given}

Step-by-step explanation:

Hope this helps you

Crown me as brainliest

Answer:

Step-by-step explanation:

To find the area you need to multiply the two length and height.

14 x 6

This would equal 84.

For the perimeter you add all the sides. Since there are four sides to a rectangle and a square, you add 2 of the corresponding sides to the equation.

14+14+6+6

Or

2(14+6)

Or

2(14) + 2(6)

Which equals 40.

Answer:

The beginning part is 19 seconds.

The middle part is 57 seconds.

The end part is 114 seconds.

Step-by-step explanation:

First, you have to form expressions. Let the end part be x :

Beginning = (1/6)x

Middle = (1/2)x

End = x

Next, you have to add up altogether equals to 190 :

(1/6)x + (1/2)x + x = 190

(5/3)x = 190

x = 190 ÷ (5/3)

x = 114 s

Lastly, you have to substitute the x-value into the expressions :

Beginning = (1/6)(114) = 19 s

Middle = (1/2)(114) = 57 s

End = 114 s

Answer:

b is 19 seconds

m is 57 seconds

e is 114 seconds

Step-by-step explanation:

total = b + m + e

total = 1/6e + 1/2e + e

190 = 1/6e + 1/2e + e

190 = 10/6e

190 * 3/5 = e

114 = e

(1/6)e = b = (1/6)(114) = 19

(1/2)e = m = (1/2)(114) = 57

Answer:

y = 4/5x -1/5

Step-by-step explanation:

4x -5y = 1

-5y = -4x + 1

5y = 4x - 1

y = 4/5x - 1/5

Answer:

Austin is correct.

Step-by-step explanation:

19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.

Answer:

Neither are correct.

Step-by-step explanation:

8.21:

Tens Place - 0

Ones Place - 8

Tenths Place - 2

Hundredths Place - 1

19.5:

Tens Place - 1

Ones Place - 9

Tenths Place - 5

Hundredths Place - 0

None of the places are in common, so neither Jeffery nor Austin is correct.

Answer:

(1,0) (2,1) = (0) (2,1) = (0) (2) = 0

Step-by-step explanation:

1,0 is multiplication which would be 0 and the same applies for 2,1 which would be 2. 0 x 2 is 0 you know it's multiplication because there's no symbol between the parenthesis.

Answer:

The  value is [tex]z = 3[/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion of senior citizens is  [tex]p  = 0.10[/tex]

   The  sample size is  [tex]n  = 225[/tex]

   The  number of senior citizens is  k =  36

   The  null hypothesis is  [tex]H_o :  p =  0.10[/tex]

    The alternative hypothesis is  [tex]H_a : p > 0.10[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^{p} =  \frac{k}{n}[/tex]

=>   [tex]\^{p} =  \frac{  36 }{225}[/tex]

=>  [tex]\^{p} =0.16[/tex]

Generally the test statistics is mathematically represented as

     [tex]z =  \frac{\^{p}  -  p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]

=>    [tex]z =  \frac{0.16 -  0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]

=>    [tex]z = 3[/tex]

Answer:

P-value ≈ 0.0588

Step-by-step explanation:

Answer:

a

[tex]P(A_1)  =  0.007[/tex]

b

[tex]P(A_2) = 0.016[/tex]

c

[tex]P(A_3) =  0.008[/tex]

d

[tex]P(A_4) =  0.004[/tex]

e

[tex]P(A_5) =  0.0002[/tex]

Step-by-step explanation:

From the question we are told that

   The number of cards selected is  n = 7

Generally in a standard deck of cards

   The total  number of cards is  N  =  52

    The number of  hearts is  h = 13  

    The  number of diamonds is  d = 13

    The number of  spade is  s  =  13

    The number of  Ace is  a = 4

    The number of kings is  k =  4

Considering question a

   The number of ways to selected 5 hearts out of the  13 hearts is mathematically represented as

      [tex]G  =  ^{13}C_5[/tex]

Here C means combination so  

The number of cards that is not hearts  is  52 -  13  =  39

Generally the number of ways of selecting the reaming 2 cards is  

    [tex]H  =  ^{39}C_2[/tex]

Generally the number of ways to select the 7  cards from the 52 deck of cards is  

        [tex]V  =  ^{52}C_7[/tex]

Generally the probability that exactly 5 of the 7 cards  are hearts is mathematically represented as

     [tex]P(A_1)  =  \frac{G  *  H}{V}[/tex]

=>  [tex]P(A_1)  =  \frac{^{13}C_5  *  ^{39}C_2}{^{52}C_7}[/tex]

=>   [tex]P(A_1)  =  0.007[/tex]

Considering question b

     The number of ways to selected 3 diamonds out of the  13 diamonds is mathematically represented as

      [tex] B =  ^{13} C_3 [/tex]

The number of ways to selected 3 hearts out of the  13 hearts is mathematically represented as

      [tex]K  =  ^{13}C_3[/tex]

The number of cards that is not hearts or diamond  is  52 -  (13 +13)  =  26

Generally the number of ways of selecting the reaming 1 cards is  

    [tex]M  =  ^{26}C_1[/tex]

Generally the probability that there are 3 hearts and 3 diamonds is

    [tex]P(A_2) =  \frac{B  *  K *  M}{V}[/tex]

=> [tex]P(A_2) =  \frac{^{13}C_3  *  ^{13}C_3 *  ^{26}C_1}{^{52}C_7}[/tex]

=>  [tex]P(A_2) = 0.016[/tex]

Considering question c

The number of ways to selected 1 spade out of the  13 spade is mathematically represented as

     [tex]J = ^{13}C_1[/tex]

Generally the probability that there are 3 hearts, 3 diamonds and 1 spade is

   [tex]P(A_3) =  \frac{B *  K  *  J}{V}[/tex]

=> [tex]P(A_3) =  \frac{^{13}C_3 *  ^{13}C_3   *  ^{13}C_1}{^{52}C_7}[/tex]

=>  [tex]P(A_3) =  0.008[/tex]

Considering question d

The number of ways to selected 2 Aces out of the  4 Aces is mathematically represented a

     [tex]U = ^{4}C_2[/tex]

The number of ways to selected 2 Kings out of the  4 Kings is mathematically represented a

       [tex]R = ^{4}C_2[/tex]

The number of cards that is not Aces or Kings  is  52 -  (4 +4)  =  44

Generally the number of ways of selecting the reaming 3 cards is  

     [tex]S = ^{44}C_3[/tex]

Generally the probability that there are 2 Aces and 2 Kings is

    [tex]P(A_4) =  \frac{U *  R  *  S}{ V}[/tex]

=>  [tex]P(A_4) =  \frac{ ^{4}C_2 *  ^{4}C_2  *  ^{44}C_3}{ ^{52}C_7}[/tex]

=>[tex]P(A_4) =  0.004[/tex]

Considering question e

The number of ways to selected 3 Kings out of the  4 Kings is mathematically represented a

     [tex]P = ^{4}C_3[/tex]

Generally the number of ways of selecting the reaming 2 cards is  

      [tex]Q = ^{44}C_2[/tex]

Generally the probability that there are 2 Aces and 3 Kings is

     [tex]P(A_5) =  \frac{U  *  P  *  Q }{V}[/tex]

=>  [tex]P(A_5) =  \frac{ ^{4}C_2  *  ^{4}C_3  *  ^{44}C_2 }{^{52}C_7}[/tex]

=>  [tex]P(A_5) =  0.0002[/tex]

Answer:

1/2, 1/4 3/72, .50, .25, etc.

Step-by-step explanation:

An INTEGER is a whole number, positive or negative. A number that ISN'T an integer is a fraction or decimal.

Answer: One factor is positive and one is negative, so the product will be negative.

Answer:

One factor is positive and one factor is negative, so the product will be negative

Step-by-step explanation:

If you see there (-15)3 so -15 is a negative number and 3 is a positive and when you multiple a negative number with a positive number it becomes negative.

Answer:

y>7

Step-by-step explanation:

y-4>3

+4     +4

y>7

Answer:

The slope is -13/2x + 20. In decimal form, -6.5x + 20

Answer:

They both need to work 3 hours to get the same amount of $14.

Step-by-step explanation:

If you have a graphing calculator handy, just graph the two expressions 3x + 5 and 4x + 2 and look for the point where they intersect. If you don't have a graphing calculator set up the equation 3x + 5 = 4x + 2. Subtract 4x from both sides to get -x + 5 = 2. Then subtract 5 from both sides to get -x = -3. Since x shouldn't be negative, divide both sides by -1. You do this because just like x is 1x, -x is -1x. After dividing, you should get x = 3.

Answer:

90.

Step-by-step explanation:

10, 9 times, means you're adding 10+10+10+10+10+10+10+10+10=90.

Answer:

B

Step-by-step explanation:

the correct answer is b

Step-by-step explanation:

Hey there!

Let the unknown number be x. Then;

According to the question;

3x+4= -8

3x = -12

x = -12/3

Therefore, x = -4

Check:

3*-4 +4 = -8

-12+4 = -8

-8= -8 (True).

Hope it helps...

Answer:

630

Step-by-step explanation:

Given that:

First flip = 72 coins

For each coin which is a head, you roll = 5, six-sided dice

Thus, the expected sum on a single six-sided dice = [tex]\sum x P(x)[/tex]

[tex]\sum x P(x)[/tex] = [tex]\dfrac{1}{6}\times (1+2+3+4+5+6)[/tex]

[tex]\sum x P(x)[/tex] = 3.5

Thus, the expected sum on the five six-sided dice = 5 × 3.5 = 17.5

However, for a single flip :

The expected sum = P(heads) × expected sum on 5 dice + P(tails) × expected sum on 0 dice.

Expected sum = [tex]\dfrac{1}{2} \times 17.5 + \dfrac{1}{2} \times 0[/tex]

Expected sum = 8.75

Hence, the expected total score from this game = 72 × 8.75 = 630

Answer:

bowl of colorful marbels

Step-by-step explanation:

bowl+marbels

Answer:

Step-by-step explanation:

OVER A 1-YEAR PERIOD, it is estimated that

17 + 7 + 4 = 28% of new cars will need repairs (ranging from one repair to infinity number of repairs)

This means that the remaining percentage of new cars will NOT need any repairs over the 1-year period.

This percentage is 100 - 28 = 72%

The question is reframed thus: If you bought 2 cars from this company, what is the probability that none of them will need repair over the 1-year period?

What is the probability that none of the 2 cars falls within the 28% of cars which will need repair in the 1-year period?

72% = 72/100 = 0.72

this is the probability that a single car will not need repairs

the probability that 2 cars from this company will not need repair over a year is  0.72 ÷ 2 = 0.36

Answer:

155

Step-by-step explanation:

All you do is subtract negetive 167 and take -12 away from 167.

Answer:djjdd

Please I love free points secy

Step-by-step explanation:

Ok but guys is 10009