Danessa is working with consecutive even numbers. If x is her first number, which expression represents her second numbe

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

20.4

Step-by-step explanation:

ED is 1/2 of BC

ED = 10.2

BC = 2 * 10.2 = 20.4

Answer:

20.4

Step-by-step explanation:

10.2 times 2 = 20.4

The general solution to the given differential equation is sin x + x ln y + C, where C is the constant of integration.

The given equation is (cos x + ln y) dx + (x/y + \(e^y\)) dy = 0.

Taking the partial derivative of the coefficient of dx with respect to y, we get (∂/∂y)(cos x + ln y) = 1/y.

Taking the partial derivative of the coefficient of dy with respect to x, we get (∂/∂x)(x/y + \(e^y\) ) = 1/y.

Since the partial derivatives of the coefficients are equal, the given differential equation is exact.

To solve the exact equation, we need to find a function F(x, y) such that (∂F/∂x) = (cos x + ln y) and (∂F/∂y) = (x/y +  \(e^y\)).

By integrating the first equation with respect to x, we obtain F(x, y) = sin x + x ln y + g(y), where g(y) is an arbitrary function of y.

Next, we differentiate F(x, y) with respect to y and set it equal to the second equation.

(∂F/∂y) = x/y +  \(e^y\) + g'(y).

Comparing this with (∂F/∂y) = (x/y +  \(e^y\)), we find that g'(y) = 0, which implies that g(y) is a constant.

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Answer:

6/3=2/1

Step-by-step explanation:

6/3 is the same as 2/1 because if we divide the common denominator, 3, on both sides, your answer will be 2/1.

Answer:

9.7, 72, 99

Step-by-step explanation:

Answer:

9.7,72,99

Step-by-step explanation:hope this helps!!:D

To solve for d:

1. Remove parenthesis:

2. Leave the terms with d in one side of the equation:

-Add 1.2 in both sides of the equation:

-Substract 0.3d and 0.1d in both sides of the equation:

3. Opperate similar terms:

4. Divide into (-0.2) both sides of the equation:

RP is an arc of a circle with radius 10 cm and central angle of  36⁰. The length of arc RP is 2π  cm

An arc of a circle is defined as a segment of the circumference of a circle.

Suppose the arc is facing a central angle θ, then the length of this arc is given by:

arc's length = (θ/360⁰) x C

Where:

C = circle circumference = 2πr

r = radius of the circle.

Hence,

arc's length = (θ/360⁰) x  2πr

In the given problem, the radius is the length of OR. Therefore,

r = 10 cm

θ = central angle = 36⁰

Plug these parameters into the formula:

length of arc RP = (36⁰/360⁰) x  2π x 10

                           = (1/10) x  2π x 10

                           = 2π  cm

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Answer:

CD = 6.3

Step-by-step explanation:

triangles CFG and CDE are similar, so their side lengths are proportional

this means CD/CF = CE/CG

since we don't know CF, we need to first solve for CF in order to find CD

luckily, we know CD = CF + FD, and FD is given:

CD/CF = CE/CG -> (CF + FD) / (CF) = CE/CG

multiply both sides by CF to get CF + FD = CE * CF / CG

move the terms with CF to one side, and the constants to the other side:

CF - CF(CE/CG) = -FD

solve for CF:

CF(1-(CE/CG)) = -FD, CF = FD / ((CE/CG) - 1) = (1.8)/(((2.4+6)/(6)) - 1) = 4.5

Since CD = CF+FD, CD = 4.5 + 1.8 = 6.3

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:

Step-by-step explanation:

Busy Village is how many times the population of Boring Town?

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places

False. When performing regression analysis, different samples will not necessarily yield the same sample regression line.

This is because the sample regression line is based on the specific data points in the sample, and different samples may have different data points that can lead to different regression lines. However, if the samples are representative of the same population and the relationship between the variables is consistent, the regression lines may be similar. The term "content loaded" does not apply to this question.

False. When performing regression analysis, different samples will not all yield the same sample regression line. The regression line depends on the specific data points in the sample, so if you have different samples, it's likely that their regression lines will be different as well.

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To determine how many papers the newspaper boy should order each day, we need to consider his profit margin. His profit is the difference between the revenue earned from selling the papers and the cost of buying them.

The revenue earned is the number of papers sold multiplied by the selling price of $0.50. The cost of buying the papers is the number of papers ordered multiplied by the buying price of $0.30. Let's say he orders x papers each day. The expected value of his revenue can be calculated as x multiplied by the mean of 100 papers,

which is 100x. The expected value of his cost can be calculated as x multiplied by the buying price of $0.30, which is 0.3x. His profit can then be calculated as the difference between his revenue and cost, which is 0.2x (since the selling price of $0.50 minus the buying price of $0.30 is $0.20 profit per paper).

To maximize his profit, he should order the number of papers that gives him the highest expected profit. This occurs at the point where the deviation from the mean is zero. In other words, he should order the number of papers that gives him the highest probability of selling all of them, without having any unsold papers that he needs to throw away.

Using the formula for standard deviation, we can calculate that the probability of selling all 100 papers is 68.3%. The probability of selling 101 papers is slightly lower at 64.2%, while the probability of selling 99 papers is also slightly lower at 64.2%.

Therefore, to maximize his profit, the newspaper boy should order 100 papers each day, since this gives him the highest probability of selling all of them without having any unsold papers. This would give him a daily profit of $10 (100 papers sold x $0.20 profit per paper).

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Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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Answer:

The answer would be 480

The expression that defines the transformation of any point (x, y) to (x′, y′) on the polygons is:

x′ = x - 3

y′ = y - 2

In this transformation, each point (x, y) in the original polygon is shifted horizontally by 3 units to the left (subtraction of 3) to obtain the corresponding point (x′, y′) in the translated polygon. Similarly, each point is shifted vertically by 2 units downwards (subtraction of 2). The given coordinates of point A (1, 5) and A' (-2, 3) confirm this transformation. When we substitute the values of (x, y) = (1, 5) into the expressions, we get:

x′ = 1 - 3 = -2

y′ = 5 - 2 = 3

These values match the coordinates of point A', showing that the transformation is correctly defined. Applying the same transformation to any other point in the original polygon will result in the corresponding point in the translated polygon.

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Answer:

$45

Step-by-step explanation:

Set up an equation.

88km/1hour x 0.62mile/1km

88 x .62 = 54.56

The car is going 54.56 mph.

Hope this helps

Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

What is judicial activism?

Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]

Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".

Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

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The probability of a success and a failure is as follows,

P(success) = one - fourth

P(failure) = three - fourth

Definition of Probability

The area of mathematics that deals with numerical representations of the likelihood that an event will occur or that a statement is true is known as Probability. An event's probability is a number between 0 and 1, where, 0  generally denotes the event's impossibility and 1 denotes certainty of that event.

Calculating the Probability

The formula for finding the probability of an event to occur is given by,

P = (favorable outcomes)÷(total number of outcomes)

Now, it is given that each multiple choice question consists of 4 choices.

And, out of these four choices, only one answer is true.

Then, if Laila guesses the answer, the probability of choosing the right answer is given by,

P(success) =1/4

Thus, the probability of choosing the wrong answer will be,

p(failure) = 1 - P(success)

⇒ P(failure) = 1 - (1/4)

⇒ P(failure) = 3/4

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Answer:

0.25 ( I guess)

Step-by-step explanation:

use 1/2 (b*h) formula

Answer:

6.53 X 10^5

Step-by-step explanation:

Answer:6.53 x 10*5

Step-by-step explanation:i don’t know how to show 5 as a small number but it’s an exponent

1.62 is the volume (in cm3) of 2 troy ounces of pure gold .

What is full answer for density?

We determine the volume, V, corresponding to the given amount of gold. We do this by dividing the given mass, m, by the density, d, such that

               V = m/d

  m = 31.03 g

   d = 19.3 g/ml

We proceed with the solution

  V = m/d

     = 31.03/19.3

      ≈ 1.62 ml

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Answer:

12

Step-by-step explanation:

Answer:

the least common multiple of 4 and 12 is 12 itself.

Because 12 is divisible by both 4 and 12 as well

The function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π, has a relative maximum at approximately (2.356, 1.585), points of inflection at approximately (0.785, 0.785) and (3.927, -3.927), and no asymptotes.

To analyze and graph the function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π and identify any relative extrema, points of inflection, and asymptotes, we can use a computer algebra system or a graphing calculator. Here are the results:

Relative minimum (x, y):

DNE

Relative maximum (x, y):

(x, y) ≈ (2.356, 1.585) (approximately)

Points of inflection (x, y) (smaller x-value):

(x, y) ≈ (0.785, 0.785) (approximately)

Points of inflection (x, y) (larger x-value):

(x, y) ≈ (3.927, -3.927) (approximately)

Asymptotes:

There are no asymptotes for the given function.

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Answer:

V= π r² h

Step-by-step explanation:

Answer:

x= 7, y= 16

Step-by-step explanation:

AB= AC (denoted by one vertical line on each side)

y -4= x +5

y= x +5 +4

y= x +9 -----(1)

AD= CD (denoted by 2 vertical lines on each side)

2x +5= x +12

Bring all x terms to one side, constants to the other:

2x -x= 12 -5

x= 7

Substitute x= 7 into (1):

y= 7 +9

y= 16