What is the value of m in the equation {m- n=
n = 16, when n = 8?

Answer:

1 83/99

Step-by-step explanation:

This is how u do it

Answer:

\(\frac{183333333333}{100000000000}\)

Step-by-step explanation:

1.83333333333 as fraction

we need to divide the fraction by the number of digits it have before decimal point to convert it to fraction

here we have 11 digits before decimal point so we need to divide it by 100000000000

so

\(\frac{183333333333}{100000000000}\)

10 procent

Step-by-step explanation:

150 / 150 = 10

Answer:10%

Step-by-step explanation:

Considering a discrete LTI system, if the input is δ(n−2), the output will be δ[n + 2]. A system is said to be linear if it satisfies two conditions:

Homogeneity or scaling property and (ii) Additivity or superposition property.A system is said to be time-invariant if the output y(n) corresponding to an input x(n) is shifted in time the same amount as x(n). So the output y(n) of the system is independent of time.

The system that satisfies both linearity and time-invariance properties is known as the Linear Time-Invariant (LTI) system.Hence, for a given input δ(n−2) to the discrete LTI system, the output will be δ[n + 2].Therefore, the correct option is The output is δ[n+2].

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Answer:

Step-by-step explanation:

(-2 , 6)

Slope = m = -1

y =mx + b

y = -x +b

Plugin x = -2 and y = 6

6 = -(-2) + b

6 = 2 + b

6-2 = b

b = 4

y = -x + 4

x + y = 4

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

∠x = 50°

Step-by-step explanation:

∠ABQ = 180 - 90 - 40 = 50°  because all interior angles of a triangle add up to 180°.

∠x = ∠ABQ because they are corresponding angles.

∠x = 50°

Answer:

YES. IT IS LINEAR

Given differential equation isdr/ dθ + r = 50 cos θ ........................... (1)This is a Bernoulli's differential equation. It can be converted into linear differential equation by using the substitution r = u^(-1)The differential equation becomes- u^(-2) du/dθ + u^(-1) = 50

cos θu^(-2) du/dθ - u^(-1) = -50 cos θThis is a linear differential equation which can be solved using integrating factor as follows Multiplying both sides by integrating factor   \(u^(-2) exp (-θ)d/dθ (u^(-1) exp (-θ)) =\)

\(-50 cos θ exp (-θ)d/dθ (u^(-1) exp (-θ)) = -50 cos θ exp (-θ)\) Integrating both sides

u^(-1) exp (-θ) = 50 sin θ + C1 Multiplying both sides by ru = r/r

\(= (1/u)So,r = 1/(50 sin θ + C1)\)This is the required solution.  The expression using r as variable is:r = 1/(50 sin θ + C1)

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Answer:

\(\boxed {a_{24} = - 70}\)

Step-by-step explanation:

According to the following pattern sequence (\(-1, -4, -7, -10\) ), it is Arithmetic Sequence, because every negative number is subtracted by \(3\). So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

\(a_{n} = a_{1} + (n - 1) d\)

\(a_{n}\): nth term in the sequence

\(a_{1}\): 1st term

\(n\): term position

\(d\): Common difference

-Apply to the formula:

\(a_{24} = -1 - 3 (24 - 1)\)

\(a_{n} = a_{24}\)

\(a_{1} = -1\)

\(n = 24\)

\(d = -3\)

-Solve:

\(a_{24} = -1 - 3 (24 - 1)\)

\(a_{24} = -1 - 3 (23)\)

\(a_{24} = -1 - 69\)

\(\boxed {a_{24} = - 70}\)

Therefore, the 24th term is \(-70\).

Answer:

Owwwww would be a good time

Answer:

A then B then 1/2 then yes

Step-by-step explanation:

Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

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Answer:

-15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

This because the additive inverse is the opposite number. If you where to use a number line, you would have the same amount of spaces from zero as 15. that is an additive inverse.

The potters are qualified for the home loan as their total monthly payment is $831.02, which is less than $1000.00.

The total cost of the cottage along with the annual insurance and taxes is $118,000 + $710 + $2800 = $121,510.

The down payment made by the potters is $14,000. Therefore, the amount to be financed through a mortgage is $121,510 - $14,000 = $107,510.

Using the formula for the monthly payment of a mortgage, which is given by:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]

where P is the principal (amount to be financed), i is the monthly interest rate, and n is the total number of monthly payments.

For a 5%, 15-year mortgage, the monthly interest rate is 0.05/12 = 0.0041667, and the total number of monthly payments is 15 x 12 = 180.

Plugging in the values, we get:

M = $107,510 [ 0.0041667 (1 + 0.0041667)^180 ] / [ (1 + 0.0041667)^180 - 1 ]

M = $831.02

Therefore, the total monthly payment for the mortgage and the annual insurance and taxes is $831.02 + $59.17 + $233.33 = $1123.52, which is more than the maximum allowed payment of $1000.00. Hence, the potters are qualified for the home loan.

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If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

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Answer:

12 - 5 is 7 so the line would be 7 centimeters

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

12-5=7

Cot θ is equal to 1/2.

To find cot θ, we need to use the given information:

csc θ = √(5/2)

tan θ = 0

We can use the reciprocal identities and the Pythagorean identity to find cot θ.

Reciprocal Identity:

csc θ = 1/sin θ

Pythagorean Identity:

\(sin^2\) θ + \(cos^2\)θ = 1

Given that csc θ = √(5/2), we can find sin θ:

1/sin θ = √(5/2)

sin θ = 2/√5

Using the Pythagorean identity, we can find cos θ:

\(sin^2\) θ + \(cos^2\) θ = 1

\((2/√5)^2\)+ \(cos^2\) θ = 1

4/5 + \(cos^2\) θ = 1

\(cos^2\) θ = 1 - 4/5

\(cos^2\)θ = 1/5

cos θ = ±√(1/5)

Now, we can find cot θ:

cot θ = cos θ / sin θ

Since tan θ = 0, it means that sin θ is not equal to 0, as tan θ = sin θ / cos θ. Therefore, we can use the positive value of cos θ.

cot θ = (√(1/5)) / (2/√5)

cot θ = (√5/√5) / (2/√5)

cot θ = 1/2

Therefore, cot θ is equal to 1/2.

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Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

The width, labelled x in the figure is 162.5 meters

The given parameters that can be used in our computation are:

Length = 650 - 2x

Width = x

The area of a rectangle is the product of its length and its width

This is represented as

Area = Length x Width

So, we have the following representation

A = (650 - 2x) * x

Open the brackets in the above equation

A = 650x - 2x²

Differentiate the equation with respect to x

A' = 650 - 4x

Set the differentiated equation to 0

650 - 4x = 0

Collect the like terms

4x = 650

Divide both sides by 4

x = 162.5

Hence, the width is 162.5 meters

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Answer:

x = -1.5 , y = 5.17

Step-by-step explanation:

Solve the system of equation using ELIMINATION (solve for x)

x + 3y = 14

-x + y = 10

Solution

x + 3y = 14 ------- equation 1  * 1

-x + y = 10 ------- equation 2  * 3

x + 3y = 14 ------- equation 3

-(-3x + 3y = 30)------ equation 4

Using the ELIMINATION METHOD.

x-(-3x) + 3y-3y = 14-30

4x = -6

x = \(\frac{-6}{4}\)

x = -1.5

Substuting -1.5 into equation one

x + 3y = 14

-1.5 + 3y = 14

Adding 1.5 to both sides

-1.5 + 1.5 +3y = 14 +1.5

+3y = 15.5

Dividing by the coeffient of y

\(\frac{3y}{3} = \frac{15.5}{3}\)

y = 5.166666666666

y =5.17

Therefore x = -1.5 , y = 5.17

a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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Answer:

91 in2

Step-by-step explanation:

11+15 over 2 , times by 7 equals 91 ??

The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

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To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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Answer:2,2

Step-by-step explanation:

Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.

To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.

Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.

Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.

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To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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The value of each variable is:

x = -2

w = 8

r = 4

t = -1

Equating the first elements:

x - 5 = -7

We can solve this equation for x by adding 5 to both sides:

x = -7 + 5

x = -2

Equating the second elements:

9 = w + 1

We can solve this equation for w by subtracting 1 from both sides:

w = 9 - 1

w = 8

Equating the third elements:

4 = 8 - r

We can solve this equation for r by subtracting 8 from both sides:

8 - r = 4

Next, we can subtract 8 from both sides:

-r = 4 - 8

-r = -4

Finally, multiplying both sides by -1 to isolate r:

r = -4 × -1

r = 4

Equating the fourth elements:

t + 2 = 1

We can solve this equation for t by subtracting 2 from both sides:

t = 1 - 2

t = -1

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Answer:

2

Step-by-step explanation:

When you plug in 3 for the value of x you get the equation: 4(3)-2/5 (being divided by 5)

Now we solve the top and the bottom of the fraction.

4×3=12

12-2=10

10/5= 2

Hope this helps! :)