4(3x+2)=11x+18
slove this equation\(4(3x+2)=11x+18\)

Answer:

They're the same

Step-by-step explanation:

Answer:

it's option b

Step-by-step explanation:

option a would be $320 and option b would be $86.40

Answer: 15

Step-by-step explanation:

first you would subtract -69 by positive 420 to get 15

Answer:

i am sorry i am no se

peack englis

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

Answer:

x/-5

Step-by-step explanation:

Just divide by 5 and the denominator will be 5 meaning x would have to be 4.

Make sure your 5 is negative so the whole equation also ends up negative. x/-5=-4/5

The total area of the composite figure is 228 sq cm

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

The composite figure with 6 sides

The total area of the composite figure is the sum of the areas of the individual shapes

So, we have

Area = Area of Rectangle + Area of Rectangle

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

Area = 12 * 14 + (22 - 12) * 6

Evaluate the products

Area = 228

Hence, the total area of the figure is 228 sq cm

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The value of x for the same angle based on the information is 13.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle

Since angles 5 and 10 are the same, we can set them equal to each other:

91 - 2x = 5x

Simplifying this equation, we can add 2x to both sides:

91 = 7x

Then, we can divide both sides by 7 to solve for x:

x = 13

Therefore, the value of x for the same angle is 13.

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Answer:

The line of symmetry for function f is x = 2 and the line of symmetry for function g is x = 1.

The y-intercept of function f is greater than the y-intercept of function g.

Over the interval [2, 4], the average rate of change of function f is greater than the average rate of change of function g.

1. She could offer a price slightly lower than the point estimate, such as 22,000, to allow for negotiation.

2. The van with 81,718 miles on it is priced towards the lower end of the prediction interval, it suggests that it is in poorer condition than average.

1. Assuming the classmate and Tim agree that his van is in average condition, they can use the point estimate of 22,920 as a starting point for negotiations. However, since the 95% confidence interval for the average price of Eurovans with 75,000 miles on them is [19.44 , 26.4], it is possible that Tim's van could be priced below or above the average.

If the classmate wants to play it safe and offer a price that is more likely to be fair, she could take the midpoint of the confidence interval as a starting point, which is 22,920. Alternatively, she could offer a price slightly lower than the point estimate, such as 22,000, to allow for negotiation.

Whether or not the price is considered fair depends on several factors, such as the condition of the van, any additional features or upgrades, and the current market demand for Eurovans. It would be advisable for the classmate to research the current market conditions and compare prices of similar vehicles before making an offer.

2. It is difficult to determine the condition of a vehicle based solely on its mileage. However, assuming that the price given accurately reflects the condition of the van with 81,718 thousand miles on it, it is likely to be in below-average condition. This is because the prediction interval for the price of an individual Eurovan with 75,000 miles on it is quite wide, ranging from 11,360 to 34,480.

If the van with 81,718 miles on it is priced towards the lower end of the prediction interval, it suggests that it is in poorer condition than average. However, it is also possible that other factors, such as the location of the sale or the seller's motivation, could be driving the lower price. Ultimately, it would be best to inspect the vehicle in person and assess its condition before making any determinations about its value.

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Given, Point estimate in dollars of the predicted price of a Eurovan with 75,000 in mileage : $22,920

95% confidence interval for the average price of Eurovans with 75,000 miles on them : [19.44 , 26.4]

95% confidence interval (aka a prediction interval) for the price of an individual Eurovan with 75,000 miles on it : [11.36 , 34.48]

1. Based on the point estimate and the confidence intervals provided, if your classmate and Tim agree that his van is in average condition, she should offer him a price somewhere in the range of $19,440 to $26,400. However, the prediction interval for an individual Eurovan with 75,000 miles on it is quite wide, ranging from $11,360 to $34,480, which suggests that there may be considerable variation in prices for Eurovans with similar mileage depending on factors such as condition, location, and features. Ultimately, the price that would be considered fair would depend on a variety of factors beyond just mileage, such as the overall condition of the vehicle, any necessary repairs or maintenance, the presence of desirable features or upgrades, and the local market for similar vehicles.

2. Without additional information about the specific Eurovan with 81,718 miles on it, it is difficult to definitively determine whether it is in below-average, average, or above-average condition. However, based solely on the mileage, it is likely that the van has been driven more than average for its age, which could indicate a higher likelihood of wear and tear or needed repairs. This would suggest that the van is more likely to be in below-average or average condition, although it is possible that the van has been well-maintained and is in above-average condition despite its mileage. Ultimately, a thorough inspection and assessment of the van's condition would be necessary to make a more accurate determination of its condition and value.

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The probability that Alice's number is greater than Bob's number given that Alice's number is divisible by 5 is 1/7.

To solve this problem, we first need to determine the total number of possible outcomes. Since Alice and Bob choose a number each, there are 15 options for Alice's first choice and 14 options remaining for Bob's first choice. Therefore, the total number of possible outcomes is 15 x 14.

The probability of Alice's number being greater than Bob's number given that Alice's number is divisible by 5 is then given by the ratio of the number of favorable outcomes (30) to the total number of possible outcomes (15 x 14):

Probability = favorable outcomes / total outcomes

Probability = 30 / (15 x 14)

Probability = 30 / 210

Probability = 1 / 7

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The correct  answer and the correct option is A.

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate, two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)

Option A is correct.

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Answer:

0,0 aka the Orgin

Step-by-step explanation:

The interquartile range of the data set is equal to 6.

The interquartile range is a measure of statistical dispersion, or data spread. The IQR is also known as the midspread, middle 50%, or middle 50%.

The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.

Given data set is 2 4 6 8 10 12. The upper range is 8 10 12 and the lower range is 2 4 6.

Calculate the median of the upper range and the lower range and subtract it.

Median upper range = 10

Median lower range = 4

The interquartile range is calculated as,

IQR = 10 - 4 = 6

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The matrix transformation

rotates the plane counter-clockwise about the origin through 45°: True.
This matrix is an example of a rotation matrix which rotates a given vector in the plane by an angle of 45° counter-clockwise about the origin. The matrix is calculated using the formula:

Where θ is the angle of rotation. Therefore, this matrix transformation rotates the plane counter-clockwise through 45° about the origin.

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Answer: 5 Hours

Step-by-step explanation:

14 miles x 5 hours = 70miles in 5 hours.

Hope this helps!

The width of the parking lot is 78 m

We have been given the perimeter of a rectangular parking lot which is equal to 350 m.

We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).

And the length of the parking lot is given as 97 m.

2 X (width of the plot ) +2 X (length of the parking lot ) =350 m

2 X (width of plot ) + 2 X 97 =350

2 X (width of the plot ) =156 m

width of the plot = 78 m

Hence the width of the plot is 78 meters.

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The width of this rectangular parking lot is equal to 78 meters.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:

P = 2(L + W)

350 = 2(97 + W)

175 = 97 + W

Width, W = 175 - 97

Width, W = 78 meters.

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The ideal substitute is OBS Studio, which is both open source and free. Simple Screen Recorder, Camtasia Studio, are other fantastic applications.

What is Windows Gamebar?

Is audio captured by Windows game capture?

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The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Temperature less than 0° C is -9° C.

To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

Given a temperature 9 less than 0,

0° C - 9 = -9° C

Hence, Temperature less than 0° C is -9° C.

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The factorization of the polynomial 10x² - 3x - 4 by grouping is (2x + 1)(5x -  4)

An equation is an expression that shows the relationship between two or more numbers and variables.

A polynomial is an expression involving addition, subtraction and multiplication of variables. A quadratic equation is a polynomial of degree two.

Given the polynomial:

10x² - 3x - 4

= 10x² - 8x + 5x - 4

= 2x(5x - 4) + 1(5x - 4)

= (2x + 1)(5x -  4)

The factorization of the polynomial 10x² - 3x - 4 by grouping is (2x + 1)(5x -  4)

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 To find the local extremizer point that minimizes the expression X1X2, subject to the constraints x1 + x2 ≥ 4 and x2 ≥ x1, we need to evaluate the objective function for different points that satisfy the constraints. The local extremizer point is [2,2].

To determine the local extremizer point, we consider the objective function X1X2 and the constraints x1 + x2 ≥ 4 and x2 ≥ x1.
Let's evaluate the objective function for different points that satisfy the constraints: For [1,3]: X1X2 = 1 * 3 = 3
For [2,3]: X1X2 = 2 * 3 = 6
For [3,3]: X1X2 = 3 * 3 = 9
For [1,2]: X1X2 = 1 * 2 = 2
For [1,1]: X1X2 = 1 * 1 = 1
For [2,1]: X1X2 = 2 * 1 = 2
For [2,2]: X1X2 = 2 * 2 = 4
For [0,4]: X1X2 = 0 * 4 = 0
Among these points, [2,2] yields the minimum value of 4 for the objective function while satisfying both constraints. Therefore, the local extremizer point that minimizes the expression X1X2 is [2,2]. Hence, the correct answer is O [2,2].
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 

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Answer:

Step-by-step explanation:

We have 36 marbles, of which 12 are yellow and 24 are purple.

The big O notation for the given code fragment with nested loops is O(n log n), indicating that the runtime grows proportionally to the product of the input size and its logarithm.

The big O notation for the given fragment can be determined by analyzing the nested loops.

The outer loop runs for every power of 2 from 1 to n, which is log₂(n) iterations.

The inner loop runs for n iterations regardless of the value of n.

Therefore, the total number of iterations can be calculated as the product of the iterations of the outer and inner loops, which is O(n log n).

In big O notation, the dominant term is the one that grows fastest as the input size (n) increases. In this case, the log n term dominates over the linear term, so the big O notation for the fragment is O(n log n).

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The taylor series for exp(-ax2) about the value x = 0 to second order in x is given by: \(exp(-ax2) = 1 - ax2 + (1/2)a2x4.\)

\(f(x) = f(0) + f'(0)x + (1/2)f''(0)x2exp(-ax2) = 1 - ax2 + (1/2)a2x4\)

To find the taylor series for \(exp(-ax2)\) about the value x = 0 to second order in x, we can use the general formula for a taylor series given by: \(f(x) = f(0) + f'(0)x + (1/2)f''(0)x2.\)

First, we need to find the value of f(0). This is simply the value of the function when x = 0, which is 1.

Next, we need to find the value of f'(0). We can do this by taking the derivative of the given function with respect to x. The derivative of \(exp(-ax2) is -2axexp(-ax2)\). When x = 0, the derivative is 0.

Finally, we need to find the value of f''(0). We can do this by taking the second derivative of the given function with respect to x. The second derivative of\(exp(-ax2) is 2a2x2exp(-ax2) - 4a2exp(-ax2)\). When x = 0, the second derivative is -4a2.

Substituting these values into the taylor series formula, we get:

\(exp(-ax2) = 1 -ax2 + (1/2)a2x4\)

The taylor series for exp(-ax2) about the value x = 0 to second order in x is given by: \(exp(-ax2) = 1 - ax2 + (1/2)a2x4.\)

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To design a cylindrical can (with a lid) to contain 1 liter (= 1000 cm3) of water, using the minimum amount of metal, we need to consider the following parameters:Height and Diameter of the canThickness of the metalMaterial used for making the canLet's assume we use Aluminium as a material. Now, let's start designing the can:Height of the can:

Volume of water = 1000 cm3Volume of cylinder = πr²hVolume of cylinder = π (d/2)² hVolume of cylinder = π (d²/4) hVolume of cylinder = 1000 cm³π (d²/4) h = 1000 cm³d²h = 4000 cm³h = (4000 cm³) / (π d²) h = (4000 cm³) / (3.14 * d²) h = (1273.24) / d²Diameter of the can:

Volume of cylinder = πr²hVolume of cylinder = π (d/2)² hVolume of cylinder = π (d²/4) hVolume of cylinder = 1000 cm³π (d²/4) h = 1000 cm³d²h = 4000 cm³d² = (4000 cm³) / h d² = (4000 cm³) / (1273.24/d²) d² = 3.1425d = 17.8 cmThickness of the metal:We can assume the thickness to be 0.5 mm.Material used for making the can:AluminiumTotal Surface Area of the can:Total Surface Area of cylinder = 2πrhTotal Surface Area of cylinder = 2π(d/2)(1273.24/d²)Total Surface Area of cylinder = 1273.24/d Total Surface Area of lid = πr²Total Surface Area of lid = π (d/2)²Total Surface Area of lid = π (17.8/2)²Total Surface Area of lid = 248.5Total Surface Area of the Can = 1273.24/d + 248.5Now, we can calculate the minimum amount of Aluminium required to make the can by minimizing the Total Surface Area of the can.Total Surface Area of the can = 1273.24/d + 248.5d (in cm)Total Surface Area of the can = 1273.24/7.09 + 248.5(7.09)Total Surface Area of the can = 584.24Therefore, the minimum amount of Aluminium required to make the can is 584.24 cm².

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The value of c = 64 makes the equation true.

An equation is defined as the mathematical statement formed when  two algebraic expression are equated by an equal sign.

It is given in the question that

x> 0 and y>0

\(\rm \sqrt[3]{\dfrac{x^3}{cy^4} }= \dfrac{x}{4y\sqrt[3]{y}}\\\\\\{\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^3 \times y} \\\\\\\\\\\therefore\; from \;this \\\\c= 64\\\)

The value of c = 64 makes the equation true.

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Answer:

u^2 +7u -8=0  where u = 3x+2

Step-by-step explanation:

(3x+2)^2 + 7(3x+2) - 8=0

Let 3x+2 = u

u^2 +7u -8=0

Answer:

;)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

9+9=18+18=36

Answer:

36

Step-by-step explanation:

9+9+9+9=36

The 99 percent confidence interval for the mean score of all subjects lies greater than 63.464 and less than 78.936.

Given:

No. of samples (n)= 16

df = n-1 = 16 -1 = 15

The mean score is 71.2

The standard deviation = 10.5.

So, from the t-distribution of critical values table through the above-mentioned details. We get the values:

Alpha / 2 = 0.005

z = 99/100 + 0.005 = .99 + .005 = .995

Sample mean = xbar = 76.2

t = 2.947

The formula for standard error = E = value of t (at z, and df) / S.D./sqrt(n)

i.e. E = 2.947 x 10.5 / sqrt 16 = 7.736

I = 71.2 +/- E =  71.2 +/-  7.736

99 percent confidence interval - 71.2 +/- 7.736

Adding both sides 7.736 for range. We get,

63.464 < u < 78.936

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