6m 10m what is the area of the shaded triangle

Calculating the limit as n goes to infinity, it is found that:

The sequence converges to 0.

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The sequence is given by:

[tex]a_n = \sum_{n=0}^{\infty} f(n)[/tex]

In which

[tex]f(n) = \frac{n^2 - 16}{n^3 + 4}[/tex]

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The limit is:

[tex]\lim_{n \rightarrow \infty} f(n) = \lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4}[/tex]

Since it is a limit going to infinity, we consider just the terms with the highest exponents in the numerator and the denominator. Thus:

[tex]\lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4} = \lim_{n \rightarrow \infty} \frac{n^2}{n^3} = \lim_{n \rightarrow \infty} \frac{1}{n} = \frac{1}{\infty} = 0[/tex]

Thus: The sequence converges to 0.

A similar question is given at https://brainly.com/question/20553793

Answer: D The sequence converges to ∞.

Step-by-step explanation:

got it right 2022 edge

Answer:

3.13 kilograms used for the second cake

Step-by-step explanation:

because the fractions have different denominators you have to multiply the denominators together to figure out what to change them too. but instead you can just figure out what the decimal for each is. 1/3 is 0.33, and 4/5 is 0.80. all you do is add these together to get 1.13. so now all you do is add 2+1.13 to get 3.13.

Answer:

50 km/hr

Step-by-step explanation:

D = RT

Time for first part of trip = 80/60 = 4/3 hr.

Time for second part of trip = 20/30 = 2/3 hr.

total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.

Total distance = 100 km

Average rate of speed for entire trip = 100/2 = 50 km/hr

Answer: $13.30

Step-by-step explanation:

price of nails = $1.30/lb

price of washers = $0.80/lb

price of bolts = $2.50/lb

The total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts will be:

= (2 × $1.30) + (4 × $0.80) + (3 × $2.50)

= $2.60 + $3.20 + $7.50

= $13.30

The total cost is $13.30

Answer:

x=1/2 and x=-3/2

Step-by-step explanation:

5(2x+1)^2+6=26

5(2x+1)^2=20

(2x+1)^2=4

2x+1=±2

Now make two equations and solve both for x:

2x+1=2

2x=1

x1=1/2

2x+1=-2

2x=-3

x2=-3/2

Answer:

A)

Step-by-step explanation:

Answer:

c or take the square root of both sides

a or 2 inches

Step-by-step explanation:

Answer:5x3= 15

The tickets were $15 in total

28-15= 13

13:3= 4’3

Each bag of candy was $4’3

Step-by-step explanation:

Answer:

1/4 L

Step-by-step explanation:

2 1/2=10/4  10/4*3/4=30/16= 1 7/8

1 7/8=15/8        10/4*2=20/8          20/8-15/8=5/8

5/8-3/8=2/8 or 1/4 L

Answer: 1/4 L

In bottle 1/4 of chlorine solution is left in bottle.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.

And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.

Now,

Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8

                                        = 5 / 2 × 1/4 - 3/8

                                        = 5 / 8 - 2 / 8

                                        = 1 / 4

Thus, In bottle 1/4 of chlorine solution is left in bottle.

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The complete question is this;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?

Answer:

1 1/8 cups of oatmeal b/c 2 1/4 ÷ 2 = 1 1/8 ( one and one eighth)

Step-by-step explanation:

If its not 1 1/8 then its 3 3/8 (i saw that answer on quizziz)

Answer:

the first answer

Step-by-step explanation:

well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT

Answer:

Laura needs to try 36 more times before the lock is sure to open.

Step-by-step explanation:

Alright, with a three digit lock, there are 9 possible numbers for each digit:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Since the first one is 3, lets move onto the second digit, which is prime.

Of the numbers between 1-9,

2, 3, 5, and 7 are prime.

With the last digit, it can be any number 1-9.

With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.

Answer:

X = 4.3, -0.3

Step-by-step explanation:

Write the answer with like a line on top of the 2 threes that you see

Mark me as brainliest!!

Answer:

V = 672cm^3

Step-by-step explanation:

V of irregular figure = lwh + lwh

V = 7(3)(2) + 10(7)(9)

V = 42 + 630

V = 672cm^3

Answer:

A

Step-by-step explanation:

Every integer is a rational number; a whole number. The square root of 49 equals 7, which is the only outcome giving an integer as an answer.

Answer:

11

Step-by-step explanation:

Also u can search up mean, median, mode calculator and type in any numbers u want and it will give u the mean, median, mode, range and more

Answer: 49/18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Mark me as brainllest

Answer:

-6x5 + 7x4 - 5x2

Step-by-step explanation:

Answer:

6x5=30+7×4=38 combined it equals 58 5x2=10 58-10=48

Answer:

Step-by-step explanation:

Positive: -1/-3, -2/-2, +2/+3, -1/+3

the rest of them are negative

Answer:

Positive: 1+/+3  -2/-3  +2/+3  -1/-3 negative:-2/+3 +2/-3  -1/+3  +1/-3

Step-by-step explanation:

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Answer:

Brainlyest answer plz

Answer:

IJ=77

Step-by-step explanation:

[tex]\frac{35}{20} =\frac{IJ}{44}[/tex]

[tex]20IJ=1540[/tex]

[tex]IJ=77[/tex]

Answer:

Step-by-step explanation:

On your calculator go to stat-edit and enter the table. Press stat and go over to calc then press 4 and hit calculate it will give you the answer.

The slope of the line that is these data is 0.03 or 3/100

The correct option is (B).

The slope of a line is a measure of its steepness.

Given that:

Time              Distance

50                       1.5

200                      6

350                    10.5

400                      12

650                    19.5

Let us take,

[tex]x_1[/tex]=1.5, [tex]x_2[/tex]= 6, [tex]y_1[/tex]= 50, [tex]y_2[/tex]= 200

Slope of line, m= Δy/Δx

                       m=  [tex]x_2[/tex]- [tex]x_1[/tex]/ [tex]y_2[/tex]-  [tex]y_1[/tex]

                       m=6-1.5 /200-50

                       m=4.5 /150

                       m= 45/1500= 3/100

                      m=0.03

Hence, slope of line is= 0.03

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Answer:

2.2 × [tex]10^{11}[/tex]

Step-by-step explanation:

2.2 × [tex]10^{7}[/tex] + 1 × [tex]10^{4}[/tex]

2.2 × 1 = 2.2

7 + 4 = 11

Answer:

2,720 ft³

Step-by-step explanation:

17x10x16 = 2,720