Enter the value of 7.(2+18) -14​

A series can be an arithmetic series or geometric series

The series is undefined

The given parameters about the geometric series are:

a1 = -2 --- the first term

r=-2 --- the common ratio

Sn=22 --- the sum of n terms

The sum of n terms of a geometric series is represented as:

\(S_n = \frac{a(r^n - 1)}{(r-1)}\)

Substitute known values

\(22 = \frac{-2((-2)^n -1)}{(-2-1)}\)

This gives

\(22 = \frac{-2((-2)^n -1)}{(-3)}\)

Divide both sides by -2

\(-11 = \frac{((-2)^n -1)}{(-3)}\)

Multiply both sides by -3

\(33 = (-2)^n -1\)

Add 1 to both sides

\((-2)^n = 34\)

Take the natural logarithm of both sides

\(n\ln(-2) = \ln(34)\)

Solve for n

\(n= \frac{\ln(34)}{\ln(-2) }\)

The above number is a complex number.

Hence, the series is undefined

Read more about geometric series at:

https://brainly.com/question/12006112

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

Learn more About Distributive Law from the given link

https://brainly.com/question/25224410

#SPJ11

Since the P-value is 0.4 which is greater than 0.05, the null hypothesis should not be rejected. Thus, the correct answer is No.

The P-value is not small enough to reject the null hypothesis, and both the null and alternate hypotheses are plausible. Therefore, P = 0.4 is not small.b) We cannot conclude that the null hypothesis is true. Since the P-value is not small enough, we cannot conclude that the machine is calibrated to provide a mean fill weight of 12 oz. So, the correct answer is No. Moreover, the alternate hypothesis is plausible, which means that there might be a possibility that the machine is not calibrated properly. Thus, the alternate hypothesis is also true to a certain extent. Hence, both the null hypothesis and the alternate hypothesis are plausible.

to know more about hypothesis visit:

https://brainly.in/question/6984941

#SPJ11

a) In this test of the hypotheses H0 : μ = 12 versus H1 : μ ≠ 12, the P-value is 0.4.

So, should H0 be rejected on the basis of this test?NoThe reason is that P = 0.4 is not small.

If the P-value were smaller, it would be more surprising to see the observed sample result if H0 were true.

But since the P-value is not small, the observed result does not provide convincing evidence against H0.

So, we cannot reject H0.

b) Can you conclude that the machine is calibrated to provide a mean fill weight of 12 oz? No. We cannot conclude that the null hypothesis is true.

The null hypothesis is plausible and the alternate hypothesis is false.

However, the fact that we cannot reject H0 does not mean that we can conclude H0 is true.

There are different reasons why the null hypothesis might be plausible even if the sample data do not provide convincing evidence against it.

Therefore, we cannot conclude that the machine is calibrated to provide a mean fill weight of 12 oz.

To know more about the word plausible visits :

https://brainly.com/question/17852352

#SPJ11

The CIV of each customer is:
- Amber: 20 - Ashley: 20 - Joe: 20 - Lauren: 30 - Jung: 20 - Maria: 30 - Jose: 30

To calculate the CIV (customer lifetime value) of each customer, we can use the formula provided in the hint for Ashley and then apply the same formula for the rest of the customers:

CIVAshley = [CLVMaria + 0.5CLVJose] + [CIVMaria + 0.5CIVJose]

Plugging in the values given in the table:
CIVAshley = [10 + 0.5(15)] + [10 + 0.5(10)] = 20

Therefore, the CIV of Ashley is 20.

Using the same formula for the other customers:
CIVAmber = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVJoe = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVLauren = [25 + 0.5(10)] + [10 + 0.5(15)] = 30
CIVJung = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVMaria = [10 + 0.5(15)] + [20 + 0.5(10)] = 30
CIVJose = [10 + 0.5(15)] + [20 + 0.5(10)] = 30

Therefore, the CIV of each customer is:
- Amber: 20
- Ashley: 20
- Joe: 20
- Lauren: 30
- Jung: 20
- Maria: 30
- Jose: 30

Note that the CIV represents the total value a customer is expected to bring to a company over the course of their relationship, taking into account the frequency and monetary value of their purchases.

Know more about CIV here:

https://brainly.com/question/28539902

#SPJ11

Answer:

31 Supreme tires were sold.

Step-by-step explanation:

Cost of one Supreme tire = $45

Cost of one Prestige tire = $56

Total sales = $2008

Let x represent quantity of supreme tyre

Let y represent quantity of Prestige tyre

So, the equation will be:

\(45x+56y=2008\)

11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.

So, we are given y= 11 and we need to find value of x using above equation

\(45x+56y=2008\\45x+56(11)=2008\\45x+616=2008\\45x=2008-616\\45x=1392\\x=\frac{1392}{45}\\x=30.933\\ x\approx31\)

So, 31 Supreme tires were sold.

The steps in understanding the distribution of the differences in the sample means are-

The sample mean is a measure of the data's center. The sample mean is used to estimate the mean of any population.

Some key features regarding the sample mean are-

The formula for sample mean is-

Sample Mean = (Sum of terms) ÷ (Number of Terms)

\(\frac{\sum x_{i}}{n}\) = \(\frac{\left(x_{1}+x_{2}+x_{3}+\cdots+x_{n}\right)}{n}\)

Where,

\(\sum x_{i}\) = sum of the given data

n  = number of the data

Therefore, the steps in understanding the distribution of the differences in the sample means is given.

To know more about the sample mean, here

https://brainly.com/question/26952915

#SPJ4

Answer:

Gesell drank 4 ounces.

Step-by-step explanation:

20 divided by 5 is 4. 1/5 = 4/20.

Answer:

MISTA GESELL

Step-by-step explanation:

Answer:

I'm going to say A and B (I think)

Answer:

Step-by-step explanation:

ab = 8 * 24

      = 192

There are 0 intersections between the railroad and the highway and there are 2 intersections between the railroad and the turnpike

From the graph, we have the following points on the railroad

(x, y) = (3, 3) and (0, 5)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

This gives

m = (5 -3)/(0 - 3)

Evaluate

m = -2/3

The equation is then calculated as:

y = mx + b

This gives

y = -2/3x + b

Substitute (0, 5)

5 = -2/3 * 0 + b

This gives

b = 5

Substitute b = 5 in y = -2/3x + b

y = -2/3x + 5

Multiply through by 3

3y = -2x + 15

Rewrite as:

2x + 3y = 15

The equation of the highway's path is

2x+3y=21

So, we have:

2x+3y=21

2x + 3y = 15

Subtract the equations

2x - 2x + 3y - 3y = 21 - 15

Evaluate

0 = 6

The above equation is false because 0 and 6 are not equal.

This means that the system of equations have no solution

Hence, there are 0 intersections between the railroad and the highway.

Here, we have

y = x^2 and 2x + 3y = 15

Substitute y = x^2 in 2x + 3y = 15

2x + 3x^2 = 15

Rewrite as:

3x^2 + 2x - 15 = 0

Calculate the discriminant using

d =b^2 - 4ac

This gives

d = 2^2 - 4 * 3 * -15

Evaluate

d = 184

The discriminant d is greater than 0.

This means that the equation has 2 real solutions

Hence, there are 2 intersections between the railroad and the turnpike

Read more about linear and quadratic functions at:

https://brainly.com/question/13594844

#SPJ1

After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

To know more about Graph Representation visit,

https://brainly.com/question/28732353

#SPJ1

The function f(x)=7x−80 gives the profit the company makes when it sells x shirts. The function is defined for all real numbers x such that x ≥ 0, so the domain of the function is x ≥ 0.

In order to find and interpret the given function values, we can substitute in the given values of x.

When x = 20, the profit is f(20) = 7(20) − 80 = 60. This means that when the company sells 20 shirts, they make a profit of $60.

In general, the profit the company makes is directly proportional to the number of shirts they sell. This means that the more shirts the company sells, the more profit they will make.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

Answer:

64\(\pi\)

Step-by-step explanation:

A=\(\pi r^{2}\)

Divide 16 by two to get the diameter: 8

Square 8: 64

Since the answer is in terms of pi, the answer is 64\(\pi\)

Answer:

64 π

Step-by-step explanation:

Diameter = 16 inches

Radius = 16/2 = 8 inches

Area of circle = πr²

                      =  π(8)²

                      = 64 π sq inches

The solution is X =13.66.

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have,

given that,

(X-8)^2-7=25

(X-8)^2= 25+7

(X-8)^2=32

by, thaking sq.root both side we get,

(X-8)= √32

X= 5.66+8

X =13.66

Hence, The solution is X =13.66.

To learn more on square root click:

brainly.com/question/29286039

#SPJ1

Answer:

J

Step-by-step explanation:

Area of a square = L x W

F:

(5 x 5) + (4 x 4) = 81

25 + 16 = 81

41 = 81  INCORRECT =( X

H:

64 + (5 x 5) = (13 x 13)

64 + 25 = 169

89 = 169 INCORRECT =( X

G:

(6 x 6) + (5 x 5) = (7 x 7)

36 + 25 = 49

61 = 49 INCORRECT =( X

J:

144 + (5 x 5) = 169

144 + 25 = 169

169 = 169  CORRECT =)

Answer:

The number bigger is 0.31.

Step-by-step explanation:

Answer:

0.31 is greater than 0.03

Step-by-step explanation:

0.31 - 0.03 = 0.28

So, 0.31 is 0.28 greater than 0.03

Hope it helps :)

Answer:

6

Step-by-step explanation:

There is 1 cup of cream for every 2 cups of chocolate. That means there are 3 cups of cream and 6 cups of chocolate. Each cup of cream = 2 cups of chocolate, so you would do 3*2 which equals 6

6 + 3 = 9

The signal of an exponential function is defined according to the coefficient a, as follows:

The standard definition of an exponential function is given as follows:

y = a(b)^x.

The coefficients of the function are given as follows:

The coefficient a is used to define the signal of the exponential function, as follows:

The coefficient b is used to define the behavior of the exponential function, as follows:

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

Since, company A charge of $423.5 is less than company B charge of $450

Hence,

Company A should be hired to get the better deal.

Step-by-step explanation:

Dimension of room: 11 * 14 foot

Area of rectangle is given by length * width

Thus,

area of room using above formula = 11*14 square foot = 154 square foot

For company A

charge  for 1 square foot = $2.75

Charge for room = charge  for 1 square foot * area of room

                           = 2.75 * 154 = 423.5

Thus, Total money charged by company  A as calculated above is $423.5

Given,

company B charges $450 per room

Since, company A charge of $423.5 is less than company B charge of $450

Hence,

Company A should be hired to get the better deal.

Answer:

Company B

Step-by-step explanation:

Answer:

I want to say 20

Step-by-step explanation:

4 is half of 8, so double the time and its 20.........

Since it took 10 hours for 8 men to build a wall. If you had 4 men build a wall it would most likely take twice as long than if there were 8 men due to less people.

So it would take 20 hours for 4 men to build a wall.

9514 1404 393

Answer:

Step-by-step explanation:

It looks like you have four different equations here.

As a rule, each step in the solution involves one of the properties of equality: addition, subtraction, multiplication, or division. These properties let you do the same thing (one of these operations) to both sides of the equation.

__

1. 10 − 6 x = 4 + 5x

  7 -6x = 1 +5x . . . . 3 was subtracted from both sides*

__

2. 3 ( 4 x − 3 ) = − 15

  4x -3 = -5 . . . . . both sides were divided by 3

__

3. 5x/-3=12/1

  5x=-36 . . . . both sides were multiplied by -3

__

4. −3 ( 4 x − 3 ) = − 15

  4x -3 = 5 . . . . both sides were divided by -3

_____

* For this equation it would have been more useful to subtract 4 to get ...

  6 -6x = 5x

In order to improve my grades, i am going to prioritize consistent studying next year to improve my grades.

The consistent studying is the main key to academic success. By dedicating regular time to review and learn material, students are better able to retain information and recall it during exams.

When we create a study schedule and sticking to it, this can help us students stay on track and avoid cramming before exams which often leads to stress and poor performance. This type of studying also allows for a deeper understanding of complex concepts and improves critical thinking skills.

Read more about grade improvement

brainly.com/question/30368126

#SPJ1

The correct answer is option B. Rewrite sin °x as (1 - cos 2x) sinx, then use the substitution u = cos x.

What is sine?

Sine is a trigonometric function that relates the ratio of the length of the side opposite an angle in a right triangle to the length of the hypotenuse. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Mathematically, the sine function is denoted as sin(x), where x is the angle. The sine function takes an angle in radians as its input and returns the corresponding sine value.

By using the identity \(sin^2(x) + cos^2(x) = 1\), we can rewrite sin °x as (1 - cos 2x) sinx.

Then, we can make the substitution u = cos x, which allows us to express the integral in terms of u. This substitution simplifies the integral and makes it easier to evaluate.

Therefore, the correct method to integrate sin °x is to rewrite it as (1 - cos 2x) sinx and then use the substitution u = cos x.

To learn more about sine visit:

https://brainly.com/question/27174058

#SPJ4

Answer:

84 miles

Step-by-step explanation: 140/100 x 60 which gives you 84 miles

The mean weight of the six dogs is 12.9 kilograms (correct to one decimal place).

To calculate the mean weight of the six dogs, we need to add up the weights of all the dogs and divide by the total number of dogs.

The sum of the weights of the six dogs is:

12.1 + 14.3 + 10.8 + 14.0 + 10.7 + 15.5 = 77.4

There are six dogs, so the mean weight is:

mean weight = sum of weights / number of dogs = 77.4 / 6 = 12.9

Therefore, the mean weight of the six dogs is 12.9 kilograms (correct to one decimal place).

Learn more about mean here

https://brainly.com/question/1136789

#SPJ11

Answer:

17/55 if simplified otherwise 34/110

Step-by-step explanation:

Answer:

16/81

Step-by-step explanation:

this is the answer that came up on hegarty

Answer:

8°

Step-by-step explanation:

The laws of angles say that angles opposite the vertex (as in this case) are equal

So

(7x + 15)° = (9x - 1)°

let's remove the ° just so as not to get confused

7x + 15 = 9x - 1

To solve we must move the Xs on one side of the = sign and the free numbers on the other. For that, we must do the same operations on both sides. If we subtract from one, from the other also, and so on.

So we are going to substract 15

(7x + 15) - 15 = (9x - 1) -15

It result:

7x = 9x - 16

We are going to substract 9x

(7x) - 9x = (9x - 16) - 9x

It result:

7x - 9x = -16

-2x = -16

We are going to change the signs (ON BOTH SIDES)

2x = 16

x = 8

now we have the value of X

we substitute x in the equations

7(8) + 15 = 9(8) - 1

56 + 15 = 72 - 1

71 = 71

So, the angles are 71°