Given that y varies directly with x, use the specified values to write a direct 1 point
variation equation that relates x and y. x = 24 y=-6*

A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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Hey there!

In order to simplify this expression, we need to combine like terms.

Remember, like terms are terms from the same "family". not terms that you like. :)

So, the like terms here are

8x, 3x

and

-3y and -2y

Combine them:

8x-3x-3y-2y

Hence, the answer is

\(\boxed{\boxed{\bold{5x-5y}}}\)

Hope everything is clear.

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\(\rule{200}{2}\)

Answer:

x=ac ab

Step-by-step explanation:

x =ac=ab=abc on addiction le a

Answer:

1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza

Step-by-step explanation:

Answer:

The value of y is 18 at x = 70

Step-by-step explanation:

The equation of the directly proportional is y = k x, where k is the constant of proportionality.

∵ The value of y is directly proportional to the value of x

→ By using the equation above

∴ y = k x

∵ x = 140 and y = 36

→ Substitute them in the equation above

∴ 36 = k(140)

∴ 36 = 140k

→ Divide both sides by 140

∵ \(\frac{36}{140}\) = k

∴ \(\frac{9}{35}\) = k

→ Substitute the value ok in the equation

∴ y = \(\frac{9}{35}\) x ⇒ equation of proportionality

∵ x = 70

→ Substitute in the equation to find y

∴ y =  \(\frac{9}{35}\) × 70

∴ y = 18

∴ The value of y is 18 at x = 70

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

Answer:M1=50 M2=130

Step-by-step explanation:

M2=130 because corresponding angles and M1=50 because 180-130=50

On average, workers spend around 70-80% of their time on communicating and collaborating internally within their organizations.

Effective communication and collaboration are essential for the smooth functioning of any workplace. Employees need to exchange information, discuss ideas, coordinate tasks, and work together to achieve shared goals. This involves various forms of communication such as meetings, emails, phone calls, instant messaging, and collaborative tools. Additionally, teamwork and collaboration are often required to solve problems, make decisions, and complete projects successfully. Given the importance of these activities, it is not surprising that a significant portion of an average worker's time is dedicated to internal communication and collaboration.

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The image after the dilation is A' (-2,2) and (4,4)

Here, we have a pre-image with the endpoints A(-4,4) and B(8,8) and we want to find the image after dilation using the scale factor

To find its image after a dilation, we simply multiply the scale factor with each number on the coordinate

Thus, we have

A' as (-2,2) and B' as (4,4)

To plot the image, we can locate these coordinates and join them together and label them as A' and B'

Answer:

\(f\left(2,3,1\right)=\bold{14}\)

Step-by-step explanation:

Given the function:

\(f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}\)

To find:

The value of \(f(2, 3, 1)\) = ?

Solution:

\(f(2, 3, 1)\) means the values of \(x, y\ and\ z\) as:

\(x=2\\y=3\\z=1\)

Let us put the given values in the given function and let us solve for it:

\(\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}\)

Therefore, the answer is:

\(f\left(2,3,1\right)=\bold{14}\)

The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

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Answer:  It does not lie on the line m.

Step-by-step explanation:

First using the slope and the point find an equation in slope intercept form and plot in the coordinates (82,63) to see if it fits. If it fits then it lies on line m and if doesn't then it doesn't like  on line M.

The slope intercept formula is   y = mx +b   where m is the slope and b is the y-intercept, so we need to use the coordinates (-2,1) to find the y-intercept.

Plot the coordinates and the slope into the formula to solve for b.

1 = 3/4(-2) + b

 1 = -6/4 + b    

+6/4 +6/4  

  b = 10/4  

y = 3/4x + 10/4

63  = 3/4(82) + 10/4  

63 = 64    

Answer:

sentence 1

Step-by-step explanation:

Answer: sentence one I took the quiz and I got it right

Step-by-step explanation:

Answer:

A. -20p - 2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

2 - 4(5p + 1)

Step 2: Simplify

Answer:

Step-by-step explanation:

Apply the distributive property

2-20p-4

Simplify expression

-20p-2

Answer choice A is correct

If Billy, who works 6 hours per day and is paid overtime at time and a half, works 7 hours one day, he earns $72.00.

The total earnings for the day by Billy is the addition of the normal earnings and the overtime earnings.

Overtime rates are based on a time and a half, which is 150% of the normal hourly rate of pay.

Normal hourly rate of pay = $9.60

Normal day work hours = 6 hours

The number of hours worked for the day = 7 hours

Overtime hours for the day = 1 hour (7 - 6)

Overtime rate = $14.40 ($9.60 x 1.5)

Normal earnings for the day = $57.60 ($9.60 x 6)

Overtime earnings for the day = $14.40 ($14.40 x 1)

Total earnings for the day = $72.00 ($57.60 + $14.40)

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The equation which represents the relationship between 'h' the number of hours, and c, the total cost is y = 250x+850.

A straight line equation is a mathematical equation that describes the relationship between the coordinate points on that straight line. It can be written in several ways and indicates the slope, x-intercept, & y-intercept of a line.

Now, as per the given question;

The attorney charges price for an initial meeting = $850.

And, the charges for each hour is = $250.

Thus, the equation which shows the given situation is-

y = 250x + 850.

In which, 250 is the value of the slope 'm'.

The y- intercept is shown by 850.

Thus, the total cost will be found out by equation  y = 250x+850.

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Answer:

B

Step-by-step explanation:

the shortest distance is a straight line from house to library. This line is the hypotenuse (h) of a right triangle formed by the 3 features on the map.

Using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = 1.7² + 0.9² = 2.89 + 0.81 = 3.7 ( take square root of both sides )

h = \(\sqrt{3.7}\) ≈ 1.9 miles ( approximate shortest distance )

Answer:

c ≤ 6

Step-by-step explanation:

Lets make our equation!

2.5 per chore thats our slope

+3 she starts with 3 dollars

y = 2.50x +3

Substitute y for 17!

17 = 2.5x +3

Subtract 3!

14 = 2.5x

Divide both sides by 2.5!

x = 5.6

5.6 --> 6

x = 6

Turn it into an inequality!

c ≤ 6

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Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

140000 us the answer because 200 × 7 is 14000

The total probability of failure of the wastewater treatment facility is 0.0304 or about 3.04%.

To calculate the total probability of failure of the facility, we can use the law of total probability:

P(failure) = P(failure | no power outage) * P(no power outage) + P(failure | power outage) * P(power outage)

We are given:

P(failure | no power outage) = 0.02 (probability of failure when there is no power outage)

P(failure | power outage) = 0.28 (probability of failure when there is a power outage)

P(power outage) = 0.04 (probability of a power outage)

To find P(no power outage), we can use the fact that the sum of the probabilities of all possible outcomes must be 1. So:

P(no power outage) = 1 - P(power outage) = 1 - 0.04 = 0.96

Now we can plug in the values:

P(failure) = 0.02 * 0.96 + 0.28 * 0.04 = 0.0192 + 0.0112 = 0.0304

Therefore, the total probability of failure of the wastewater treatment facility is 0.0304 or about 3.04%.

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Answer:

15/20    16/20    <

Step-by-step explanation:

First, make a common denominator for both, which is 20. So, 3/4 = 15/20. Then 4/5= 16/20. 15/20 < 16/20, so 3/4 < 4/5.

Answer:

option a) 30 : 19

Step-by-step explanation:

\(Length = 7 \frac{1}{2} = \frac{15}{2}\\\\Width = 4\frac{3}{4} = \frac{19}{4}\)

Ratio of length to width:

      \(\frac{15}{2} : \frac{19}{4}\)

    \(=\frac{\frac{15}{2}}{\frac{19}{4}}\\\\=\frac{15}{2 } \times \frac{4}{19}\\\\=15\times \frac{2}{19}\\\\=\frac{30}{19}\\\\30 : 19\)

1) The correct option is B.) We cannot make any conclusions for the statement if a 90% confidence interval for the difference of means 1 – 2 contains all positive values, what can we conclude about the relationship between 1 and 2 at the 90% confidence level.

A confidence interval provides a range of plausible values for the population parameter (in this case, the difference of means). If the confidence interval contains all positive values, it suggests that the true difference of means could be positive.

However, it does not allow us to conclude that 1 is strictly greater than 2. The confidence interval gives us a range of plausible values, but it does not provide definitive information about the specific relationship between 1 and 2.

2) The correct option is A.) We can conclude that 1 < 2 for the statement if a 90% confidence interval for the difference of means 1 – 2 contains all negative values, what can we conclude about the relationship between 1 and 2 at the 90% confidence level.

If the 90% confidence interval for the difference of means 1 – 2 contains all negative values, it suggests that the true difference of means is likely to be negative.

Therefore, we can conclude, at the 90% confidence level, that 1 is statistically less than 2. However, we should note that this conclusion is based on the given confidence level and the assumption of the sampling method used to construct the confidence interval.

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The solutions to the given algebraic expressions are;

1) 3x + 4 = 7x - 8; Letter C

2) 2x = 7x - 5; Letter E

3) 5x - 8 = 5x + 12; Letter D

1) We are given the algebraic expression as;

3x + 4 = 7x - 8

Add 8 to both sides to get;

3x + 12 = 7x

Subtract 3x from both sides to get;

12 = 4x

divide both sides by 4 to get;

x = 3

2) 2x = 7x - 5

Add 5 to both sides to get;

2x + 5 = 7x

Subtract 2x from both sides to get;

5x = 5

divide both sides by 5 to get;

x = 1

3) 5x - 8 = 5x + 12

Subtract 5x from both sides gives;

-8 = 12

Thus, no solution

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Answer:

(x+9.4) = 4.09

Step-by-step explanation:

Let the number be x.

Nick adds 9.4 to the number. It means, the number becomes (x+9.4).

He then doubles the result to get an answer of 16.8. It means,

(x+9.4)² = 16.8

(x+9.4) = 4.09

So, this is the required equation for the given information.

Answer:

none of them it should be ac,cb,ab. From my point of view

Answer:

\(11xy+4x^{2} t\)

Step-by-step explanation:

1. Collect Like Terms

\((7xy+4xy)+(-x^{2} t+5x^{2} t)\\\)

2. Simplify.

\(11xy+4x^{2} t\)