Find the arithmetic mean An of the given terms. A(n-1)=-8, A(n+1)=-9

Answers

Answer 1

[tex]a_n=\frac{a_{n-1}+a_{n+1}}{2} \\a_n=\frac{-8+(-9)}{2} =-8,5[/tex]

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P.S. Hello from Russia :^)

Answer 2

Final answer:

The arithmetic mean An between A(n-1) = -8 and A(n+1) = -9 is calculated by taking the average of these two terms, resulting in An = -8.5.

Explanation:

To find the arithmetic mean An between A(n-1) and A(n+1), we use the definition of the arithmetic mean for a sequence of numbers. The mean of two numbers is simply the sum of those numbers divided by two, which can be represented by the formula: mean = (a + b) / 2. Given A(n-1) = -8 and A(n+1) = -9, we can set up the formula as follows:

An = (A(n-1) + A(n+1)) / 2

Substituting the given values results in:

An = (-8 + (-9)) / 2

An = (-17) / 2

An = -8.5

Therefore, the arithmetic mean An of the given terms is -8.5.


Related Questions



The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)

Answers

Answer:

You find the area first

L x W of the rectangle only.

To find volume : you find the depth of the square and multiply this by the area above.

Whatever the number is you add 'unit sq'

Lets say the rectangular prism measured L12 units x W6units x D4units

A =72unit square

V = D4 x A72 = 4 x 72 = 288unitsq cubes

Step-by-step explanation:

The perimeter of the triangle shown is 30 inches. What is the length of the longest side of the triangle

Answers

Answer:

The length of the longest side of the triangle is 13 inches

Step-by-step explanation:

step 1

Find the value of x

we know that

The perimeter of triangle is equal to the sum of its three length sides

so

[tex]P=x+(2x+3)+(4x-8)[/tex]

[tex]P=(7x-5) \ in[/tex]

we have

[tex]P=30\ in[/tex]

substitute

[tex]30=(7x-5)[/tex]

solve for x

[tex]7x=30+5\\7x=35\\x=5[/tex]

step 2

Find the length of the longest side of the triangle

Remember that in a right triangle, the longest side is the hypotenuse

so

(2x+3) is the longest side

substitute the value of x

[tex]2(5)+3=13\ in[/tex]

Is 6cups of coffee for $8 and 9 cups of coffee for $12 proportional

Answers

Answer:

They are proportional

Step-by-step explanation:

Let's simplify the ratio of coffee to cost:

6:8 :: 3:4

9:12 :: 3:4

Both simplify to 3:4, so they are proportional

Answer:

Yes, proportional

Step-by-step explanation:

Price 'P' in dollars

No. of cups 'C'

P = kC

8 = 6k

k= 8/6

k = 4/3

12 = 9k

k = 12/9

k = 4/3

Same constant, so proportional

Which of the following is an irrational number?
49
O
C. 1.333...
O
D.
22
7

Answers

Answer:

1.333...

Step-by-step explanation:

because irrational numbers can be repeating decimals, numbers that aren't perfect squares,and numbers that can not be in fraction form.

6/10 + 20/100 = 8/10

Answers

6/10 can be simplified but we don't need to worry about it right now. We only need to worry about simplifying 20/100:

20/100 → 10/50 → 5/25 → 1/5

Find common denominators

1/5 → 2/10

6/10

Now, add.

6/10 + 2/10 = 8/10

Therefore, the equation is true.

Best of Luck!

Answer:

6/10+20/100 does not equal 8/10

Step-by-step explanation:

The Hernandez family is evenly splitting
7
liters of gasoline between their
4 cars.
How many liters of gasoline should each car get?

Answers

7 divided by 4 is 1.75

Answer:

1.75 liters

Step-by-step explanation:

7/4 = 1¾ or 1.75 liters

Definition: To get the volume of a ______, multiply pi by the radius squared and then multiply by the height.

Answers

Answer:

Cylinder

explanation:

The formula for the volume of a cylinder is V=πr²h

Final answer:

To find the volume of a cylinder, the formula V = πr²h is used, where you multiply the square of the radius by π and then by the height, ensuring consistent units throughout.

Explanation:

To get the volume of a cylinder, you need to use the formula V = πr²h, where V stands for volume, π is a mathematical constant approximately equal to 3.14159, r represents the radius of the cylinder's base, and h denotes the height of the cylinder. To calculate the volume, first square the radius, then multiply that by π, and finally multiply by the cylinder's height. For example, if a cylinder has a radius of 0.750 cm and a height of 5.25 cm, you would calculate the volume as follows: 3.142 × (0.750 cm)2 × 5.25 cm, which equals approximately 9.278 cm3. Remember to use consistent units throughout the calculation.

What is the sign of y divided by x?

Answers

Answer:

zero

Step-by-step explanation:

the answer is zero brainley please don't delete this...  hope this helps with your question! please give me brainiest

The relationship "x divides y" is denoted by the notation x|y. The sign of y divided by x will be positive.

What is division?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

The relationship "x divides y" is denoted by the notation x|y. Or, to put it another way, y is divisible by x and x is a factor of y.

For instance, the expression 3|15 denotes a division of 15 by 3 because 15=35 and 3 is a component of 15.

Therefore, The sign of y divided by x will be positive.

To learn more about division refer to :

https://brainly.com/question/12085148

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math question (picture linked)

Answers

Answer:

the graph that represents the inequality is f.

0 is greater than or equal to and it is going to the right

Answer:

F

Step-by-step explanation:

f means x is above or at 0 and 0 counts because it is a closed circle, if it was open it would not have a line underneath.

Which linear function has a y-intercept at –3? On a coordinate plane, a line goes through points (negative 1.5, 0) and (0, 3). On a coordinate plane, a line goes through points (0, negative 1) and (2, 0). On a coordinate plane, a line goes through points (negative 2.5, 0) and (negative 2, negative 2). On a coordinate plane, a line goes through points (negative 3, 0) and (0, negative 3).

Answers

Answer:

(-3,0) and (0,-3)

Step-by-step explanation:

When you are looking for an intercept one of the coordinates is going to be 0.

The line or linear function which has a y-intercept at -3 will be that line that passes through (-3,0) and (0, -3).

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

F(x) = x is a line through the origin and is the parent linear function.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

A linear function has a single and unique constant slope.

In the given problem the line which intercepts y at -3 will be that line in which one y coordinate should be -3 since, it is coordinated with 0, -3)  hence, it will be the correct answer.

For more about the linear function

https://brainly.com/question/21107621

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negative five divided by 5/7

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-5 ÷ 5/7 = -7. the fives cancel each other out and you're left with -7.

|x+18| =1
please help show steps plz

Answers

Answer:

x=-17 and x=-19

Step-by-step explanation:

-17+18=1

-19+18=-1

|-1| =1

Answer:

-17 and -19

Step-by-step explanation:

Absolute value equations have two problems and two solutions unless the original answer equals a negative-then it would be no solution.

x + 18 =1 subtract 18 from both sides to get x by itself

x = 1-18

x= -17

x +18 = -1  subtract 18 from both sides to get x by itself

x= -1 -18

x= -19

Kevin has 30% less money than Erin. Kevin has $140. How much money does Erin have

Answers

Answer:

Erin has $200

Step-by-step explanation:

Kevin = K

Erin = E

30% of Erin = 0.3E

K = E - 0.3E

K = 140

Substitute

140 = E - 0.3E

140 = 0.7E

Divide both sides of the equation by 0.7

E = 200

Erin has $200

Hope this helps :)

plz hurry 50 points!

solve n -> which number?

this is an inequality problem.

n - 4 -> 13

<-14-15-16-17-18-19-20-21-22-> # number line


9

11

17

18

Answers

Answer:

see below

Step-by-step explanation:

n-4 ≥ 13

Add 4 to each side

n-4+4 ≥ 13+4

n ≥17

There will be a closed circle at 17  because of the equal sign and the line will go to the left because of the greater than sign

If triangle ABC is similar to triangle DEC, find the values of x and y.

Answers

The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.

Step-by-step explanation:

The given are,

           From ΔABC,

                    AB= 6

                    BC= 10

                    AC = x

           From ΔDEC,

                    CD= 28

                    DE= 21

                    CE = y

Step:1

        Pythagoras theorem from  ΔABC,

                    [tex]BC^{2}=AB^{2} + AC^{2}[/tex]...............(1)

       Substitute the values,

                   [tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]AC^{2}[/tex]

                  100 = 36 + [tex]AC^{2}[/tex]

                   [tex]AC^{2}[/tex] = 100 - 36

                           = 64

                    AC = [tex]\sqrt{64}[/tex]

                    AC = 8

                  AC = x = 8

Step:2

        Pythagoras theorem for ΔDEC,

               [tex]CE^{2} = CD^{2} + DE^{2}[/tex]................(2)

       From the values,

              [tex]CE^{2}[/tex] = [tex]28^{2}[/tex] + [tex]21^{2}[/tex]

             [tex]CE^{2}[/tex] = 784 + 441

                     = 1225

              CE = [tex]\sqrt{1225}[/tex]

              CE = 35

             CE = y = 35

Result:

         The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.

2 Points
is the term used to describe the study of motion.

Answers

Answer: Mechanics and Kinematics

Step-by-step explanation:

The study of motion with regard to the forces or energies that may be involved is called Mechanics

The study of motion without regard to the forces or energies that may be involved is called kinematics

what is the square root of r^64?
a. r^4
b. r^8
c. r^16
d. r^32

Answers

Answer is r^8
Square root of 64 is 8, 8x8=64

I need your help and fast

Answers

Answer:

copy

Step-by-step explanation:

just copy and paste your answers to google

Find the measure of angle 1 when X= 96 and y=132

Help!?

Answers

Answer:

96 degrees

Step-by-step explanation:

A center angles degree measurement is the same as the ark it is on

Where does the line y = 4x + 1 intersect the y-axis (the y-intercept)?

Answers

Answer:

(0,1)

Step-by-step explanation:

The equation for slope is y=mx+b.

The b value stands as the y - intercept.

MARKING AS BRAINLIST HELP ASAP

Answers

Answer:

42

Step-by-step explanation:

Because the circle is tangent to all sides, that makes the perimeter of the triangle equivalent to the sum of the numbers given, multiplied by 2.

(6+10+5)(2) = 42 inches

The answer is 42 inches

pauline uses 2/5 of a cup of sugar in each batch of cookies.Yesterday, pauline used 1 cup of sugar .How many batches of cookie did pauline make yesterday?​

Answers

Answer:

Step-by-step explanation

two and a half batches?

Final answer:

Pauline used 1 cup of sugar and each batch of cookies requires 2/5 cup. By dividing 1 cup by 2/5 cup, we get 2.5 giving us ≈2 batches.

Explanation:

The question asks how many batches of cookies Pauline was able to make if she used 1 cup of sugar, with each batch requiring 2/5 of a cup of sugar. To find this, we can use a simple division process as our conversion factor. You divide the total amount of sugar used by the amount needed per batch.

Steps to calculate the number of batches:

Pauline uses 2/5 of a cup of sugar for each batch of cookies.

She used a total of 1 cup of sugar yesterday.

To find the number of batches made, divide the total amount of sugar by the amount per batch: 1 cup / (2/5 cup per batch) = 5/2 = 2.5 batches.

However, since you cannot make half a batch of cookies, Pauline must have made 2 batches.

Please help on number 5, multiple choice

Answers

Answer:

Final Answer B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer B is correct because all the side lengths are multiply by 3.

5 times 3= 15, 12 times 3=36, and 13 times 3=39.

Have a nice day and stay safe!


Ignacio is curious about the average age of cars in the commuter lot at Mis large university. He takes a random
sample of 16 cars and finds that their average age is 2 = 14.5 years and their standard deviation is 8, = 4.6
years. The distribution of ages in the sample was roughly symmetric with no obvious outliers.
Based on this sample, which of the following is a 90% confidence interval for the mean age of cars (in years) in
this commuter lot?

Answers

Therefore, the correct answer is (D) [tex]$(12.61,16.39)$[/tex]

To calculate the confidence interval for the mean age of cars in the commuter lot, we'll use the formula:

[tex]\[ \text{Confidence interval} = \bar{x} \pm t \left( \frac{s}{\sqrt{n}} \right) \][/tex]

where:

- [tex]\(\bar{x}\)[/tex] is the sample mean age (14.5 years),

- [tex]\(s\)[/tex] is the sample standard deviation (4.6 years),

- [tex]\(n\)[/tex] is the sample size (16),

- [tex]\(t\)[/tex] is the critical value from the t-distribution corresponding to the desired confidence level (90% in this case).

First, we need to find the critical value \(t\) for a 90% confidence level with [tex]\(n-1 = 15\)[/tex] degrees of freedom. Using a t-distribution table or calculator,[tex]\(t \approx 1.753\).[/tex]

Now, we can plug in the values:

[tex]\[ \text{Confidence interval} = 14.5 \pm 1.753 \left( \frac{4.6}{\sqrt{16}} \right) \][/tex]

[tex]\[ \text{Confidence interval} = 14.5 \pm 1.753 \times \frac{4.6}{4} \][/tex]

[tex]\[ \text{Confidence interval} = 14.5 \pm 1.753 \times 1.15 \][/tex]

[tex]\[ \text{Confidence interval} = 14.5 \pm 2.12595 \][/tex]

[tex]\[ \text{Confidence interval} = (12.37405, 16.62595) \][/tex]

Complete question:

Ignacio is curious about the average age of cars in the commuter lot at his large university. He takes a random sample of 16 cars and finds that their average age is [tex]$\bar{x}=14.5$[/tex] years and their standard deviation is [tex]$s_x=4.6$[/tex]years. The distribution of ages in the sample was roughly symmetric with no obvious outliers.

Based on this sample, which of the following is a [tex]$90 \%$[/tex] confidence interval for the mean age of cars (in years) in this commuter lot?

Choose 1 answer:

(A) [tex]$(6.44,22.56)$[/tex]

(B) [tex]$(12.05,16.95)$[/tex]

(c) [tex]$(12.48,16.52)$[/tex]

(D)[tex]$(12.61,16.39)$[/tex]

(E) [tex]$(13.35,15.65)$[/tex]

The 90% confidence interval for the mean age of cars in the commuter lot is (12.48, 16.52). The correct answer is: c) (12.48, 16.52)

Step 1

To determine the 90% confidence interval for the mean age of cars in the commuter lot, we can use the formula for the confidence interval of the mean for a normally distributed sample:

[tex]\[ \text{CI} = \bar{x} \pm t \left(\frac{s}{\sqrt{n}}\right) \][/tex]

Where:

- [tex]\(\bar{x}\)[/tex] is the sample mean (14.5 years)

- [tex]\(s\)[/tex] is the sample standard deviation (4.6 years)

- n is the sample size (16)

- t is the t-value for the 90% confidence level with [tex]\(n-1\)[/tex] degrees of freedom (df = 16 - 1 = 15)

First, we find the t-value for 90% confidence and 15 degrees of freedom. Using a t-table or a calculator, the t-value (two-tailed) is approximately 1.753.

Step 2

Next, we calculate the margin of error:

[tex]\[ \text{Margin of Error} = t \left(\frac{s}{\sqrt{n}}\right) = 1.753 \left(\frac{4.6}{\sqrt{16}}\right) = 1.753 \left(\frac{4.6}{4}\right) = 1.753 \times 1.15 \approx 2.016 \][/tex]

Now, we calculate the confidence interval:

[tex]\[ \text{CI} = 14.5 \pm 2.016 \][/tex]

So, the lower bound is:

[tex]\[ 14.5 - 2.016 = 12.484 \][/tex]

And the upper bound is:

[tex]\[ 14.5 + 2.016 = 16.516 \][/tex]

Thus, the 90% confidence interval for the mean age of cars is approximately:

[tex]\[ (12.48, 16.52) \][/tex]

This interval suggests that we are 90% confident that the true mean age of cars in the commuter lot lies between 12.48 and 16.52 years.

Complete question : Ignacio is curious about the average age of cars in the commuter lot at Mis large university. He takes a random sample of 16 cars and finds that their average age is 2 = 14.5 years and their standard deviation is 8, = 4.6

years. The distribution of ages in the sample was roughly symmetric with no obvious outliers. Based on this sample, which of the following is a 90% confidence interval for the mean age of cars (in years) in this commuter lot?

a) (6,44,22,56)

b) (12,05,16,95)

c) (12,48,16,52)

d) (12,61,16,39)

e) (13,35,15,65)

Stephen got a new job through an employment agency. The job pays $41,236 per year. The agency fee is 15% of the first 5 weeks pay.
How much will Stephen pay to the agency?

Answers

Answer:

$594.75

Step-by-step explanation:

Given

yearly salary of Stephen= $41,236

No of weeks in a year = 52

Therefore, one week salary of Stephen = $41,236/52 = $793

to get one week salary divide total salary by number of weeks

5 weeks salary of Stephen = 5*793 = $ 3,965

agency fees = 15% of Stephen's 5 week salary

                      (15/100)*($ 3,965)  = $594.75

Therefore, Stephen has to pay $594.75 to the agency.

Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+6=-6(x+1)

Answers

Answer:

-6x+y=0

Step-by-step explanation:

y+6=-6(x+1)

y+6=-6x-6

-6x+y=0

On converting y + 6 = -6(x + 1) to Ax+By=C form, get 6x + y = -6 with A=6, B=1, and C=-6.

To rewrite the equation y + 6 = -6(x + 1) in the Ax+By=C form, where A, B, and C are integers, we need to distribute the -6 and then move all terms involving variables to one side of the equation and the constant term to the other side.

First, distribute the -6:

y + 6 = -6x - 6

Now, move the variable terms to one side by adding 6x to both sides:

6x + y + 6 = 0

Finally, subtract 6 from both sides to isolate the constant:

6x + y = -6

Now the equation is in the desired format with A=6, B=1, and C=-6.

find x and y 5x=2y-5

Answers

Answer:

[tex]x = 2/5y - 1, y = 5/2x + 5/2[/tex]

Step-by-step explanation:

Step 1:  Solve for x

[tex]5x / 5 = (2y - 5) / 5[/tex]

[tex]x = 2/5y - 1[/tex]

Step 2:  Solve for y

[tex]5x + 5 = 2y - 5 + 5[/tex]

[tex](5x + 5) / 2 = 2y / 2[/tex]

[tex]5/2x + 5/2 = y[/tex]

Answer:  [tex]x = 2/5y - 1, y = 5/2x + 5/2[/tex]

8n+6<46


need answer asap!!!

Answers

Answer:

n < 5

Step-by-step explanation:

8n+6 < 46

1. subtract 6 from both sides

       8n < 40

2. Divide both sides by 8

40/8 = 5

So n<5

Answer:

(explanation)

Step-by-step explanation:

[tex]8n + 6 < 46\\8n +6 (-6) < 46 - 6\\8n < 40\\\frac{8n}{8} <\frac{40}{8}\\ n < 5[/tex]

To find the square root of 12, what is most likely to be an ancient Babylonian’s first guess?
please help. I don't understand it. Please and thank you to whoever answers :')

Answers

Answer:2 root 3

Or 3.464101615

Step-by-step explanation:

Answer:

b. 3

Step-by-step explanation:


If (2, −7) and (8, 15) are the endpoints of a diameter of a circle, what is the equation of the circle?

A) (x + 5)2 + (y − 4)2 = 60
B) (x − 5)2 − (y − 4)2 = 80
C) (x − 5)2 − (y + 4)2 = 110
D) (x − 5)2 + (y − 4)2 = 130

Answers

Answer:

D

Step-by-step explanation:

If (2,-7) and (8,15) is the end points of the diameter, they must be on the circle.

Here is a graph: search up  https:// www .  desmos. com /calculator/ yl9uiyhttps, sorry I couldn't put up a link cause of brainly. Type it in without spaces.

Answer:

D

Step-by-step explanation:

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