Solve the following equation for x: 3 (x+4) = 3x +11

Step-by-step explanation:

this is totally simple.

the formula for the area of a circle (as you can find with any search on the internet in seconds) :

A = pi×r²

r is the radius.

and once you understand even the most basics of a circle, you know that the radius is half of the diameter.

so, in our case, r = 6/2 = 3 m

the area of the circle is therefore

pi×r² = pi×3² = pi×9 m²

A sequence is (recursively) defined as a1 = 0, a2 = 1, n>2, \(a_n = a_{n-1} - 3a_{n-2}\). The first seven terms are 0, 1, 1, -2, -5, 1, 16.

A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given.

a1 = 0

a2 = 1

\(a_n = a_{n-1} - 3a_{n-2}\)

a3 = a2 - 3*a1 = 1 - 0 = 1

a4 = a3 - 3*a2 = 1 - 3 = -2

a5 = a4 - 3*a3 = -2 - 3 = -5

a6 = a5 - 3*a4 = -5 + 6 = 1

a7 = a6 - 3*a5 = 1 +15 = 16

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Answer:

18

Step-by-step explanation:

Angle AEB is a 90 angle

90 = 5b

18 = b

The blanks when completed is: If 3 = x, then x = 3

From the question, we have the following parameters that can be used in our computation:

3 = x x = 3

The above equation is an illustration of the symmetric property of equation

The symmetric property of an equation states that if one side of an equation is equal to the other side, then the other side is equal to the first side.

In other words, if we have an equation that says a = b, then we can use the symmetric property to say that b = a

Using the above as a guide, we have the following:

If 3 = x, then x = 3

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Answer:

Option (2)

Step-by-step explanation:

HL theorem for congruence states that if hypotenuse and one leg of one right triangle are congruent to the corresponding sides of the of the right triangle, both the triangles will be congruent.

By this theorem,

ΔACB ≅ ΔFED

If AB ≅ DF [Hypotenuse]

AC ≅ EF [Leg]

By these properties,

AC = EF = 12

Or BC = DF = 28

Therefore, Option (2) will be the correct option.

9514 1404 393

Answer:

  (x, y) = (4, 10)

Step-by-step explanation:

The coefficients of y are opposites, so the y-terms can be eliminated by adding the equations.

  (8x -5y) +(2x +5y) = (-18) +(58)

  10x = 40 . . . . . . simplify

  x = 4 . . . . . . . . . divide by 10

Substituting this into the second equation gives ...

  2(4) +5y = 58

  5y = 50 . . . . . . . . subtract 8

  y = 10 . . . . . . . . . .divide by 5

The solution is (x, y) = (4, 10).

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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With 95% confidence, it can be said that the true mean difference in wholesale price between the east coast and west coast suppliers is between $-6.716 and $-3.284 (rounded to three decimal places).

Given the following data for Wholesale Prices of Fish in Dollars, we are required to find a 95% confidence interval for the mean difference in wholesale price between the east coast and west coast suppliers.

Here is the data:

East Coast: 5, 7, 6, 9, 8, 8West Coast: 11, 14, 10, 12, 11, 13We can solve this problem by hand using skills from univariate summaries. Steps to find the 95% confidence interval for the mean difference in wholesale price between the east coast and west coast suppliers are as follows:

Step 1: Calculate the mean and standard deviation of the difference data. We calculate the difference as:

East Coast - West Coast: -6, -7, -4, -3, -3, -5

Mean difference: -5 Standard deviation of the difference: 1.632993

Step 2: Find the critical value for a 95% confidence interval using a t-distribution with n-1 degrees of freedom.

Since n=6, the degrees of freedom are 5.

Using the t-distribution table, the critical value is 2.571.

Step 3: Calculate the margin of error using the formula: Margin of Error = Critical value * Standard Error Standard Error = Standard deviation of the difference / sqrt(n)Standard Error = 1.632993 / sqrt(6)

Margin of Error = 2.571 * 0.666667Margin of Error = 1.715825Step 4: Calculate the confidence interval using the formula: Confidence interval = Mean difference ± Margin of Error Confidence interval = -5 ± 1.715825

Confidence interval = (-6.7158, -3.2842)

Therefore, with 95% confidence, it can be said that the true mean difference in wholesale price between the east coast and west coast suppliers is between $-6.716 and $-3.284 (rounded to three decimal places).

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Answer:

(0, 2)

Step-by-step explanation:

The y-intercept on a graph represents the point where the graph intersects the y-axis. In the equation y = x + 2, the y-intercept can be found by setting x = 0 and solving for y.

When x = 0:

y = 0 + 2

y = 2

Therefore, the y-intercept on the graph of the function y = x + 2 is (0, 2).

Answer:

(3x-8)

Step-by-step explanation:

6x^2-13x-8=(3x-8)(2x+1)

Thus, (3x-8) is one of the factors of the formula.

Answer: The gradient is \(\boxed{\sf 1}\)

Explanation:

\(\sf gradient: \dfrac{y_2 - y_1}{x_2- x_1} \ \quad where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Here given points: (2, 4), (4, 6)

\(\rightarrow \sf gradient: \dfrac{6-4}{4-2} = \dfrac{2}{2} = 1\)

Step-by-step explanation:

that is also called the slope or inclination or change rate.

that is the ratio of y change / x change.

when going from point 1 to point 2 (the sequence is not important, but once you picked one you need to use it for x and y), we see

x changes by +2 (from 2 to 4).

y changes by +2 (from 4 to 6).

so it is +2/+2 = 2/2 = 1/1 = 1

Answer:

Step-by-step explanation:

True.

A Data Flow Diagram (DFD) is a graphical representation of a system or a process that shows how data flows through different components of the system. It provides a visual representation of the system's inputs, processes, and outputs.

While a DFD can provide information on the data that flows between the different components of a system, it does not provide any information about the timing or sequence of those processes. A DFD is a static diagram that only depicts the flow of data in a system and does not provide any indication of when or how frequently processes occur

Answer:

because it has many factors other than 1 and 18

The pair of figures is similar by SSS

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Triangles BDC and FGC

When the side lengths of the triangle are compared, we have:

Side lengths of FGC are 5/3 multiplied by the side lengths of BDC

This means that the triangles are similar

And the similarity statement is SSS

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Answer:

its c

Step-by-step explanation:

Answer:

Its mostly a step by step process

Step-by-step explanation:

Just Put your full name and the date your depositing the money where the date is and how many bills your depositing how many coins if you don't have coins don't answer it the total amount would be 800 and the net deposit. I added a link just in case. Happy birthday btw.

Answer:

  -1,959,552

Step-by-step explanation:

You want to know the coefficient of x^5y^5 in the expansion of (2x -3y)^10.

The k-th term of the binomial expansion of (a +b)^n, with k ∈ [0, n], is ...

  C(n, k)·(a^(n-k))(b^k)

For n=10, k=5, the term is ...

  C(10, 5)·(2x)^5(-3y)^5 = 252·32·(-243)·x^5·y^5

  = -1959552x^5y^5

The coefficient is -1,959,552.

__

Additional comment

The function C(n, k) tells the number of ways k elements can be chosen from a set of n, without regard to order. The value is ...

  C(n, k) = n!/(k!(n-k)!)

Many graphing and statistical calculators can compute the value for you. In this case, it is ...

  (10·9·8·7·6)/(5·4·3·2·1) = 3·2·7·6 = 252

The volume of the tank can be found using the given information as:\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.

Therefore, the volume of the tank can be found using the given information as:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.

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Answer:

A

Step-by-step explanation:

5^4/25 = 5²

5^4/5² = 5²

5^(4 - 2) = 5²

5² = 5²

Rewrite the denominator 25 as 5². The subtract exponents, 4 - 2 = 2.

Answer: A

Answer:

I think the right answer would be 3/10 if u need explanation then reply me

Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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Answer:

$4.25

Step-by-step explanation:

Answer:

Sales tax: $4.25

Answer:

The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.

Angle Y = 68 (opposite quadrilateral angles are equal).

All quadrilateral angles add to 360 so:

68 + 68 + x + z = 360 = 292

angle X + Z = 292

Therefore angle x = angle z = 146

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle Z = 68 degree (being alternate angles)

angle X = 68 degree (opposite angle of a parallelogram is equal)

y + z = 180 degree (sum of adjecent angles of a parallelogram is 180 degree)

y + 68 = 180

y = 180 - 68

y = 112 degree

Answer:

Below

Step-by-step explanation:

x + 5y =5      <=====since the first equation states x = - 4y  substitute that in:

-4y+5y = 5

   y = 5           use this value in either of the equations to compute x = -20

The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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Answer: If you ever discover an error on a tax return, realize you qualify for deductions or credits you didn't take, or forgot to include some income, you may be able to amend your return by filing a Form 1040X.

Step-by-step explanation:

In response to the stated question, we may state that The scatter plot indicates a clustering pattern in the data, and as elevation increases, temperature drops.

"Scatter plots are graphs that show the association of two variables in a data collection. It is a two-dimensional plane or a Cartesian system that represents data points. The X-axis represents the independent variable or characteristic, while the Y-axis represents the dependent variable. These plots are sometimes referred to as scatter graphs or scatter diagrams."

"A scatter plot is also known as a scatter chart, scattergram, or XY graph. The scatter diagram plots numerical data pairings, one variable on each axis, to demonstrate their connection."

Because the graph is a scatter plot, the data displays a clustering pattern.

We may deduce from the figure that as height increases, temperature falls.

As a result, C and E are the proper choices.

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The correct question is -

The scatter plot shows the relationship between elevation and temperature on a certain mountain peak in North America. Which statements are correct?

A. The data shows one potential outlier

B. The data shows a linear association

C. The data shows a clustering pattern

D. The data shows a negative association

E. As elevation increases, temperature decreases

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:

x²+15x+26

Step-by-step explanation:

zeros are x=-13, x=-2

x=-13 then x+13=0

x=-2 then x+2=0

(x+13) (x+2)

x²+15x+26

y=ax²+bx+c