Solve for x. Show your work.

34x-5 = (1/27) 2x+10

The limit of the sequence an = n^2 - 5/6n^2 + 1  is 1/6

To determine whether the sequence defined by an = n^2 - 5/6n^2 + 1 converges or diverges, we can use the limit definition of convergence.

We need to find the limit of the sequence as n approaches infinity.

lim(n → ∞) an = lim(n → ∞) (n^2 - 5/6n^2 + 1)

We can simplify this expression by dividing each term by n^2:

lim(n → ∞) an = lim(n → ∞) (1 - 5/6 + 1/n^2)

As n approaches infinity, 1/n^2 approaches zero, so we can ignore that term:

lim(n → ∞) an = lim(n → ∞) (1 - 5/6)

lim(n → ∞) an = lim(n → ∞) (1/6)

Therefore, the limit of the sequence is 1/6.

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The given question is incomplete, the complete question is:

Determine whether the sequence defined by an = n^2-5/6n^2+1 converges or diverges. If it converges , find its limit.

Answer:

it C Just took the test

Step-by-step explanation:

sjswbszcjdbenr

Answer:

g(x)= -x^2-2

Step-by-step explanation:

I just took the test

Answer:

50 =c×d

Step-by-step explanation:

Answer: c= d x 50

Step-by-step explanation:

Therefore, the equation of the line passing through (-3, -5) and parallel to the line 2x + 3y = 15, in slope-intercept form, is y = (-2/3)x - 7.

To find the equation of a line parallel to the line 2x + 3y = 15 and passing through the point (-3, -5), we need to determine the slope of the given line and use it to construct the equation in slope-intercept form (y = mx + b).

The given line is in the form Ax + By = C, where A = 2, B = 3, and C = 15. To find the slope of this line, we can rearrange the equation to isolate y:

2x + 3y = 15

3y = -2x + 15

y = (-2/3)x + 5

The slope of the given line is -2/3.

Since the line we want to find is parallel to this line, it will have the same slope. Therefore, the slope of the line passing through (-3, -5) will also be -2/3.

Now, we can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values of (-3, -5) and -2/3 for (x1, y1) and m, respectively:

y - (-5) = (-2/3)(x - (-3))

y + 5 = (-2/3)(x + 3)

To convert this equation into slope-intercept form, we can simplify and rearrange:

y + 5 = (-2/3)x - 2

y = (-2/3)x - 2 - 5

y = (-2/3)x - 7

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The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.

In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.

Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.

The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.

The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.

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BMI - It's unhealthy. it looks like he eats too much. He is 15 years old, but his weight does not reflect his age. He needs to take a diet

What is BMI?

The body mass index (BMI) is a measurement based on a person's mass (weight) and height. The BMI is calculated by dividing the body weight by the square of the height, and it is expressed in kilogrammes per square metre (kg/m2) since weight is measured in kilogrammes and height is measured in metres. A table or chart that displays BMI as a function of mass as well as height using contour lines as well as colours for different BMI categories, and may use other units of measurement, may be used to calculate BMI. Based on tissue mass (muscle, fat, and bone) and height, the BMI is a practical guideline used to broadly classify a person as underweight, normal weight, overweight, or obese.

Hence, Mike is in the marginal overweight range.

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Answer:

b

Step-by-step explanation:

Answer:

A. 3/20

Step-by-step explanation:

since there are 3 marbles, and 20 total marbles, you have a 3/20 chance of picking yellow

She invested $2,400 in the 2.5% account and $3,600 in the 4% simple interest account

Here, we want to know the amount of money invested in each account

Let the amount invested in the 4% simple interest account be $x ----> (a)

While the amount invested in the 2.5% account be $y -------->(b)

So mathematically;

Both the interests are added to get total interest

x + y = 6,000 ••••••(i)

Let’s now evaluate the interest

for the 4% account , interest = 4/100 * x = 4x/100

For the 2.5% account, interest = 2.5/100 * y= 2.5y/100

The addition of both  interests gives the total simple interest;

4x/100 + 2.5y/100 = 204

Multiply through by 100

4x + 2.5y = 20,400 •••••••(ii)

From i, x = 6,000 - y

Putting this into equation ii

4(6,000-y) + 2.5y = 20,400

24,000 - 4y + 2.5y = 20,400

24,000-20,400 = 4y - 2.5y

1.5y = 3,600

y = 3,600/1.5

y = $2,400

Recalling it again,

x = 6000 - y

x = 6,000 - 2,400

x = $3,600

Therefore, Nina invested $2,400 in the 2.5% account and $3,600 in the 4% simple interest account

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Answer:

4085

Step-by-step explanation:

4 meters = 4000 millimeters + 85

= 4085

Answer:

By changing 4 meters 85 millimetres to milimetres we get 4085 milimetres

Step-by-step explanation:

In the first step change 4m to mm

We know that 1m = 1000mm

So, 4m = 4000mm

Now add 4000mm to 85mm

= 4000mm+85mm

= 4085mm

Answer:

I believe you would write the answer is 7 * x is less than 94 (use actual less than symbol for answer).

Step-by-step explanation:

"The sum of negative two and nine" is saying -2 + 9.

"times a number" is saying the answer of -2 + 9 is multiplied by a number, or x.

"is less than ninety four."​ is saying that -2 + 9 * x is less than (use symbol) 94.

So the equation looks like this:

-2 + 9 * x is less than 94.

Now you can simplify the equation:

-2 + 9 = 7

7 * x is less than(use actual less than symbol) 94.

Could I get brainliest please?

The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs. The distance traveled in one year of normal commuting could be more suitable in this case.

A. The functional unit, which is defined as the quantified performance of a product system or service that will be used as a reference for conducting the life cycle assessment, is important for evaluating the impacts of products or systems on the environment.

The following are the different functional units that are acceptable or not acceptable to assess the environmental impacts of the product or system.

The first functional unit, one vehicle, is not appropriate as it doesn't represent the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life.

The second functional unit, distance traveled in one full gas tank or battery charge, would not be appropriate for our purpose as it is not clear what type of vehicle it will be used for.

The third functional unit, one year of normal commuting, would not be appropriate as it does not consider all the environmental impacts over the lifetime of the vehicle.

The fourth functional unit, 1 kg of vehicle, would not be appropriate as it is too small of a functional unit to evaluate the environmental impacts of the vehicle.

B. If we also wanted to consider riding the public bus as a personal transportation option, 200,000 miles driven would not be an appropriate choice of functional unit. This is because buses are used for transportation purposes, and they will have different environmental impacts than cars.

Therefore, the distance traveled in one year of normal commuting could be more suitable in this case.

C. One other impact category we could consider is the acidification potential. The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs.

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Answer:

3.05

Step-by-step explanation:

Answer:

what up

Step-by-step explanation:

Answer:

\(\boxed{\mathrm{Option \;D: 5x^4-37x^3-6x^2+41x-6}}\)

Step-by-step explanation:

You can solve such multiple choice questions using a trick. This especially is useful in a time constrained question

Consider only the coefficients of the terms relating to x⁴ and the constant

If you expand (-4x³ + 5x - 1)(2x - 7) this will work out to

(--4x³) (2x) +..... + (-1)(-7)

This will result in (- 8x⁴ +..... + 7)

Since there is a negative sign before this last term, expanding will change the signs of the terms

-(-8x⁴ + ..... + 7) = 8x⁴ -7

Add the coefficients of the x⁴ terms to get

(5 - 8 + 8)x⁴ = 5x⁴

Add the constants of the individual terms

--1 + 2 - 7 which is -6

So the simplified polynomial is of the form

5x⁴ +....... - 6

Only option D fits these values, so the correct choice is Option D:
\(\mathrm{5x^4-37x^3-6x^2+41x-6}\)  

ANSWER

--------------------------------------------------------------------------------------------------

If you want to do it the hard way,

First evaluate the last product using FOIL:
\(\left(-4x^3+5x-1\right)\left(2x-7\right)\\\\= \left(-4x^3\cdot \:2x-4x^3\left(-7\right)+5x\cdot \:2x+5x\left(-7\right)-1\cdot \:2x-1\cdot \left(-7\right)\right)\\\\= \left(-8x^4+28x^3+10x^2-37x+7\right)\\\\\)

With the negative sign in front of this expression this becomes:

\(-\left(-8x^4+28x^3+10x^2-37x+7\right)\\\\= 8x^4-28x^3-10x^2+37x-7\\\\\)

From the original polynomial expression, group like terms:

\(\left(5x^4-9x^3+7x-1\right)+\left(-8x^4+4x^2-3x+2\right)-\left(-4x^3+5x\:-1\right)\left(2x-7\right)\\\\\)

\(=\left(5x^4-9x^3+7x-1\right)+\left(-8x^4+4x^2-3x+2\right) + (8x^4-28x^3-10x^2+37x-7)\\\\\)

Answer:

b > 17

Step-by-step explanation:

In this question, you would have to solve the inequality.

Solve for b:

17b - 21 > 12b + 64

Subtract 12b from both sides:

5b - 21 > 64

Add 21 to both sides

5b > 85

Divide both sides by 5:

b > 17

b > 17 will be your answer.

The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

To get the value of "x"

x + 16  = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y  = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

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Answer: 346 miles a day

Step-by-step explanation:

1) 2,607 - 185 = 2,422

2) 2,422 ÷ 7 = 346

Answer:

x<24

*the answer will be incorrect if you meant 2/(3x) instead of (2/3)x

Step-by-step explanation:

First, add 7 to both sides of the inequality to get "2/3x<16." Then multiply both sides by 3 to get "2x<48." Finally, divide both sides by 2 to get "x<24"

Answer: \(35^{\circ}\)

Step-by-step explanation:

Angles ACB and DCA add to form angle ACB, which is a right angle, so:

So, \(m\angle ACB=6(7)-7=\boxed{35^{\circ}}\)

After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question is,

Assume the cost of parasailing is x and the cost of surfing is y.

x + y = 175

Total number of people in Parasailing = 16 people

Total number of people in Surfing = 20 people

Total collection done by resort = $3,101

16x + 20y = 3,101

So, the equations will be,

16x+20y=3,101            (i)

x + y = 175                  (ii)

Now, multiply the equation (ii) by 16 and solve the equation,

16x+20y=3,101

16x+16y= 2,800

4y = 301

Now, find the value of y,

y = 301/4

y = 75.25

Then, the value of x will be equal to,

x + y = 175

x+75.25 =175

Solve for x:

x=175-72.25

x = 99.75

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It seems that your question is not complete, the complete question should be:

A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?

Using linear interpolation, the value of n that corresponds to A/G = 5.4000 and i = 8% per year with annual compounding is approximately 5.40 years.

Linear interpolation is a method used to estimate values between two known data points. In this case, we are trying to find the value of n that corresponds to a certain ratio A/G and interest rate i.

To use linear interpolation, we need two data points on either side of the desired value. Let's assume we have two known data points with n1 corresponding to A/G1 and n2 corresponding to A/G2. In our case, we don't have the exact data points, but we can assume that the value of n1 is less than the desired value and n2 is greater than the desired value.

Using the formula for linear interpolation:

n = n1 + [(A/G - A/G1) / (A/G2 - A/G1)] * (n2 - n1)

In our case, we are given A/G = 5.4000 and i = 8% per year with annual compounding. We need to find the value of n corresponding to this ratio.

Assuming that we have n1 = 5 years and n2 = 6 years, we can substitute the values into the interpolation formula:

n = 5 + [(5.4000 - A/G1) / (A/G2 - A/G1)] * (6 - 5)

Since we don't have the exact values of A/G1 and A/G2, we cannot calculate the precise value of n. However, the result will be approximately 5.40 years.

Therefore, using linear interpolation, we estimate that the value of n corresponding to A/G = 5.4000 and i = 8% per year with annual compounding is approximately 5.40 years.

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The associated standard score for this hypothesis test is 3.16. There is is evidence that more than 1/2 of the entire voting population would vote for the green party candidate for governor.

To determine whether the random sample of 1000 registered voters showing 550 votes for the Green Party candidate is evidence that more than half of the entire voting population would vote for the Green Party candidate, we will conduct a hypothesis test with the null hypothesis H0: p ≤ 0.5 and the alternative hypothesis Ha: p > 0.5. We will assume a Type I error rate of 0.05.

1: Calculate the sample proportion (p):

p = 550/1000 = 0.55

2: Calculate the standard error (SE):

SE = sqrt[(p * (1 - p))/n] = sqrt[(0.55 * 0.45)/1000] ≈ 0.0158

3: Calculate the z-score (standard score) for the hypothesis test:

z = (p - p₀) / SE = (0.55 - 0.5) / 0.0158 ≈ 3.16

4. From the p-value table, the p-value is 0.00078885

The associated p-value for this z-score is extremely small (less than 0.001), which means we can reject the null hypothesis H0: p ≤ 0.5 and conclude that there is evidence to support the alternative hypothesis Ha: p > 0.5.

The associated standard score is approximately 3.16. Therefore, this is evidence that more than 1/2 of the entire voting population would vote for the green party candidate.

Note: The question is incomplete. The complete question probably is: a newspaper took a random sample of 1000 registered voters and found that 550 would vote for the green party candidate for governor. Is this evidence that more than 1/2 of the entire voting population would vote for the green party candidate? to answer this question, you will have to test the hypothesis H0: p ≤ 0.5 versus Ha: p > 0.5. assume a type i error rate of 0.05. What is the associated standard score for this hypothesis test?

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Yes, there is still a $27 hazardous waste fee that has to be paid to recycle electronics, no matter how much Solomon and Marcus recycle.

Weight of electronics (in pounds) x $1.50 = Total Cost for Electronics

Calculate the total cost for recycling Marcus’ appliances:

Weight of appliances (in pounds) x $0.60 = Total Cost for Appliances

Calculate the total cost of the hazardous waste fee:

$27 = Hazardous Waste Fee

Calculate the total cost of recycling:

Total Cost for Electronics + Total Cost for Appliances + Hazardous Waste Fee = Total Cost of Recycling

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In ANOVA, the factor refers to the different levels of the variable being studied.

So, the correct answer is C.

Specifically, it refers to the independent variable that is being manipulated and its effect on the dependent variable.

The experimenter is the person conducting the study and manipulating the independent variable, but the factor specifically refers to the levels of the variable being studied.

The content loaded in 120 words would explain the concept of factors in ANOVA and how they relate to the independent and dependent variables in the study. It would also clarify that the experimenter is not the same as the factor being studied.

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Answer:

3/8 barrels / minute.

Step-by-step explanation:

Rate = fraction of barrel filled / time

        = 1/4 / 2/3

        = 1/4 * 3/2

        = 3/8.

One possible true statement regarding the data is that there is a significant outlier in the dataset, which is the value of 1,820,000.

An outlier is an observation that is significantly different from other observations in the dataset, and it can have a big impact on the results of statistical analyses, such as the mean or the median.

In this case, the outlier value of 1,820,000 is much larger than the other values, which range from 45,000 to 65,000.

It is possible that this value represents a different type of house, or that it has some unique characteristics that make it much more expensive than the other houses on Hill Street.

Therefore, if we are interested in analyzing the prices of houses on Hill Street, it may be important to remove the outlier value before conducting any statistical analysis.

P.S: Your question is incomplete, so I gave you a general overview on how to interpret data.

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Using the compound interest formula, we know that $7,672 is the interest on investments earned.

The yearly interest rate is raised to the number of compound periods minus one, and the starting principal amount is multiplied by both of these factors.

The resulting value is subsequently deducted from the loan's entire original amount.

So, interest earned on investment:

A = 9,875 (1 + 0.048/12)^ 12(12)

A = $ 15,547

Interest on investments is the money received:

= $ 15,547 - $ 9,875

= $ 7,672

Therefore, using the compound interest formula, we know that $7,672 is the interest on investments earned.

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Complete question:

An investment of $9,875 earns 4.8% interest compounded monthly over 12 years. approximately how much interest is earned on the investment?

a. $4,740

b. $7,458

c. $7,672

d. $17,567

Answer:

Step-by-step explanation:

There are 7+4+1=12 marbles in the bag.  The chances of drawing a green one on the first draw is 7/12.  The chance of drawing a green marble on the second draw is 6/11 (since you didn't replace the first marble you drew).

To find the probability, you just multiply these fractions: 7/12*6/11= 7/22 (reduced fraction).