PLEASE HELP ME ITS DUE TMR
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The limit of the ratio is 1/7 is less than 1 series III converges . Thus, the correct answer is O I, II, and III.

To determine which of the given series converges series individually.

I. Σ (1)²(n+2) / n

This is an alternating series where the terms alternate between positive and negative the Alternating Series Test to check for convergence. For an alternating series Σ (-1)²n a-n, if the terms a-n decrease in absolute value and approach zero as n approaches infinity, then the series converges.

a-n = (1)²(n+2) / n = 1/n. The terms are positive and approach zero as n increases. Additionally, the terms decrease in absolute value since 1/n is decreasing for n > 0.

Therefore, series I converges.

II. Σ (-1)²(3n) / n

This is also an alternating series the Alternating Series Test to determine its convergence. The terms a-n = (-1)²(3n) / n  simplified as a-n = (-1)²n / n. The terms alternate between positive and negative, and the absolute value of the terms 1/n decreases as n increases.

Thus, series II converges.

III. Σ (-1)²(n²) / (7²n)

This series does not follow the alternating series pattern determine its convergence solely based on the Alternating Series Test.

To analyze this series further the ratio test. The ratio test states that for a series Σ a-n, if the limit of |a-(n+1) / a-n| as n approaches infinity is less than 1, then the series converges absolutely.

Applying the ratio test to series III:

|(-1)²(n²+1) / (7²(n+1))| / |(-1)²(n²) / (7²n)|

= |(-1)²(n²+1) / (7²(n+1))| ² |(7²n) / (-1)²(n²)|

= |(-1)²(n²+1) / (-1)²(n²)| × |(7²n) / (7²(n+1))|

= |(-1) / (-1)| × |(7²n) / (7²(n+1))|

= 1 × 1/7

= 1/7

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Answer:

Larger number = 34

Smaller number = 17

Step-by-step explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51       Eqn 1

x = 2y        Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

\(\frac{3y}{3}=\frac{51}{3}\\y=17\)

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17

Answer:

-1,1

Step-by-step explanation:

because if you plot the points that is half.

Answer:

Step-by-step explanation:

The graphed line has start point at (1, 2) and no end point.

It is a decreasing function as the line goes down, and is continuous..

The domain, x ≥ 1, the range, y ≤ 2 as described above.

Correct answer choice is B

The domain and the range of this graph is x≥1 and y≤2, respectively.

Thus, option (B) is correct.

From the given graph , the graphed line begins at the point (1, 2) and extends indefinitely in a downward direction without reaching an endpoint. This line represents a continuous decreasing function.

The values of x in the domain are greater than or equal to 1, while the corresponding y values in the range are less than or equal to 2, consistent with the characteristics described above.

Thus, option (B) is correct.

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Solving for a

Answer:

AD = 85

Step-by-step explanation:

AD = AB + BC + CD ( substitute values , noting AB = CD = 20 ) , then

AD = 20 + 45 + 20 = 85

The accuracy of any estimate of the mean high temperature will depend on the quality and quantity of data available, as well as the methods used to analyze and interpret this data.

To estimate the mean high temperature with a value of 797687, we need to first understand what this value represents. Assuming that this value represents the high temperature for a certain area or region, we can use statistical methods to estimate the mean high temperature for this area.

One way to estimate the mean high temperature is to take a sample of high temperature data for this area, and then calculate the average of this sample. This sample should be large enough to provide a representative estimate of the population mean, but not so large as to be impractical or expensive.

Another way to estimate the mean high temperature is to use historical data or climate models to predict future high temperatures. This method requires knowledge of past trends and patterns in temperature data, as well as an understanding of the factors that influence high temperatures in this area.

It is important to use sound statistical techniques and to be aware of potential sources of bias or error when making any estimates of this nature.

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Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.

Anders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.

To find out how much of each ingredient he uses, we can use the following steps:

1. Add the ratios together: 1 + 2 + 8 = 11

2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73

3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:

Sugar: 1 x 72.73 = 72.73g

Butter: 2 x 72.73 = 145.46g

Flour: 8 x 72.73 = 581.84g

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Given that:

Foci: (0,3), (0,-3)

Co-vertces: (1,0), (-1,0)

The foci are on the y-axis, so the major axis is the y-axis. Thus the equation will have the form:

The foci are (0,3) and (0,-3), so

The co-vertices are (1, 0) and (-1, 0), so

The co-vertices and foci are related by the equation

Solving for the square of a.

Substituate the obtained values into the standard form of he ellipse. Hence the equation of the ellipse is

The volume of the cone is 1960.64 cubic yards.

We have,

The formula for the volume of a cone is:

V = (1/3)πr²h

where π is approximately 3.14, r is the radius, and h is the height.

Substituting the given values, we get:

V = (1/3) x 3.14 x 12² x 13

V = (1/3) x 3.14 x 144 x 13

V = 1/3 x 3.14 x 1872

V = 1960.64

Rounding to the nearest hundredth, we get:

V = 1960.64

Therefore,

The volume of the cone is 1960.64 cubic yards.

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Answer:

The answer is 1.

Step-by-step explanation:

9 times 7 equals 63. 6 times 7 equals 42. 3 times 7 equals 21.

63 take away 42 is 21.

21 divided by 21 is 1!

Answer:

I'm not sure which one it is, so I did both.

1. 9b-(6b/3b) = 9b-2

b = 7

9(7)-2 = 61

2. (9b-6b)/3b = 1

The probability that the sum of the numbers he gets is greater than 0 is 209/210.

To find the probability that the sum of the numbers he gets is greater than 0:

Therefore, the probability that the sum of the numbers he gets is greater than 0 is 209/210.

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Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

The correct answer is 64.87 inches to 75.13 inches.

To find the middle 80 percent of heights, we need to find the values of x that correspond to the 10th and 90th percentiles of the normal distribution with mean 70 inches and standard deviation 4 inches.

Using a standard normal table or calculator, we can find that the z-score corresponding to the 10th percentile is -1.28 and the z-score corresponding to the 90th percentile is 1.28.

So,

x = μ + zσ

x1 = 70 + (-1.28)(4) = 64.88

x2 = 70 + (1.28)(4) = 75.12

Therefore, the middle 80 percent of heights is between 64.88 inches and 75.12 inches, or approximately 64.87 inches to 75.13 inches.

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Answer:

3.5x + 2.50y = 1237.50

425 = x + y

Step-by-step explanation:

number of adult tickets: x

number of student tickets: y

3.5x + 2.50y = 1237.50

( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)

425 = x + y

(number of adult tickets [x]) + (number of student tickets [y]) = total (425)

Answer: if you divide 15.55 by 5 the unit price is $3.11

Answer:

B and C

(I'm not sure if b and e are supposed to be the same though) if they are then, b, c, and e

Answer:

The correct options are Option A and Option D

Step-by-step explanation:

Mark wants to find the area of a circle with a diameter of 6 cm.

We need to find the expressions can he use to find the area of the circle in square centimetres?

The formula used to find area of circle is: \(Area=\pi \:r^2\)

We are given Diameter = 6 cm

Radius = Diameter/2 = 6/2 = 3 cm

We get radius = 3cm

Now, putting values and finding area

\(Area=\pi \:r^2\\Area=\pi \:(3)^2\\Area=3^2\:\pi\)

We can also write it as:

\(Area=3*3*\:\pi\)

So, correct options are Option A and Option D

Answer:

-5 and -6

Step-by-step explanation:

-5 and -6 are the only numbers between -7 and -4

The expression that is equivalent to the given expression, 6r + r + 3 + 6, is 7r + 9

From the question, we are to determine the expression that is equivalent to the given expression.

The given expression is

6r + r + 3 + 6

To determine the expression that is equivalent to the given expression, we will simplify the expression

To simplify the expression, we will add 6r and r together

6r + r = 7r

Thus,

The expression becomes

7r + 3 + 6

Also, we will further simplify the expression by add 3 and 6 together

3 + 6 = 9

Thus, the expression becomes

7r + 9

Hence, the expression is 7r + 9

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Answer:

CBA

Step-by-step explanation:

We can name the angle B

Or name the angle ABC

Or name the angle CBA

The vertex of the angle must be in the center

Answer:

The answer is CBA

Step-by-step explanation:

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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The school uses 22,070 pieces of paper in all.

Algebraic operation is any one of the common operations of arithmetic, Which include addition, subtraction, multiplication, division, raising to a Whole number power, and taking roots (fractional power). These Procedures could be applied to numerical data, in which case they are Frequently referred to as arithmetic operations. Similar operations can be Carried out on variables, algebraic expressions, and, more generally, on Components of algebraic structures like groups and fields. A Mathematical operation could also be defined simply as a function from a Cartesian power of a set to the same set.

Given that:school uses 13,470 pieces of white paper, 7,970 fewer pieces of blue paper than white paper, and 2,400 fewer pieces of yellow paper than blue paper.

The school uses 22,070 pieces of paper in all.

IT is already given that the school uses 13,470 pieces of white paper. Then it says that there are 7,970 fewer pieces of blue paper than white Paper. So if you subtract 7,970 from 13,470, you get that the school used 5,500 pieces of blue paper. Then it says that there are 2,400 fewer Pieces of yellow paper than blue paper. So when you subtract 2,400 From 5,500, you get that the school used 3,100 pieces of yellow paper. So if you do 13,470+5,500+3,100, you get that the school used 22,070 Pieces of paper in total.

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Answer:

B

Step-by-step explanation:

12.5% of 480 is 60 and 480-60=420

Answer:

c

Step-by-step explanation:

first subtract 60 from 480 and you get 420

The internet protocol that contains the IP address is the Internet Protocol (IP), the correct option is Internet protocol. The other options, TCP and SMTP, are protocols that operate on top of IP and do not contain the IP address themselves.

The correct answer is the Internet Protocol (IP). IP is responsible for delivering packets of data from the source to the destination based on IP addresses, while other protocols like TCP and SMTP handle different aspects of data transmission and communication.

Therefore, the correct option is Internet protocol.

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Answer:

Total cost = ($8.50b) + ($3.99d)

Step-by-step explanation:

In a bakery, the cost of a dozen bagels = $8.50

and the cost of a dozen donuts = $3.99

1 Dozen = 12 pieces

Let 'b' represents the number of bagels (in dozen) and d represents dozen donuts.

The expression that represents total cost of b dozen bagels and d dozen donuts would be :

Total cost = ($8.50b) + ($3.99d)

Answer:

look it up i need my coins

Step-by-step explanation: