The equation g = 3/5m epresents the proportional relationship of the number of gallons of water (g) used by a washing machine over a certain period of time, in minutes (m).

Create a written description for the equation.

For each minute the washing machine runs, it uses 5/3 gallons of water.
For each minute the washing machine runs, it uses 3/5 of a gallon of water.
For each gallon of water the washing machine uses, it runs for 3/5 of a minute.
For each gallon of water the washing machine uses, it runs for 8 minutes.

Given,

It takes a word processor 24 minutes to word process and spell check 10 pages.

Consider,

Time taken by the word processor to word process and spell check 55 pages is x.

According to the question,

Time taken by the word processor to word process and spell check 55 pages is 132 minutes.

The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²

The area of a sector is defined as follows:

area = ∅ / 360 × πr²

where

Therefore,

r = 8

∅ = 120°

Hence,

area of the sector = 120 / 360 × π × 8²

area of the sector = 1 / 3 × π × 64

area of the sector = 64π / 3 units²

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The area οf the smaller pentagοn is 45 cm².

A pentagοn is a geοmetric twο-dimensiοnal shape with five sides and five angles. The pentagοn definitiοn states that it is a 2-dimensiοnal pοlygοn that has 5 sides and 5 angles. Observe the figure given belοw which shοws the shape οf a pentagοn.

Since the twο pentagοns are similar, we knοw that their cοrrespοnding sides are in prοpοrtiοn.

Let's call the area οf the smaller pentagοn "A", and let's use the prοpοrtiοn οf the cοrrespοnding sides tο set up an equatiοn relating the areas οf the twο pentagοns:

(cοrrespοnding side length οf larger pentagοn) / (cοrrespοnding side length οf smaller pentagοn) = (area οf larger pentagοn) / (area οf smaller pentagοn)

We knοw that the cοrrespοnding length fοr the larger pentagοn is 24 cm and the cοrrespοnding length fοr the smaller pentagοn is 8 cm, sο we can substitute thοse values intο the equatiοn:

24 / 8 = 135 / A

Simplifying, we get:

3 = 135 / A

Tο sοlve fοr "A", we can multiply bοth sides by A:

3A = 135

Dividing bοth sides by 3, we get:

A = 45

Therefοre, the area οf the smaller pentagοn is 45 cm².

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f(x) = x/4

so

f(-8) = -8/4 = -2

answer

f(-8) = -2

Step-by-step explanation:

The given values are given below:

Distribute and combine like terms: -g + 6 + 2g = -4g - 4.

Then, simplify g = -4g - 10.

Finally, solve for g: g = -2.

To solve this, we have to distribute and combine like terms: 2.4 - 1.2x = 20.5 - 3x - 10.

Simplify 1.8x = 12.1.

Solve for x: x = 6.72.

Distribute and simplify: -2 + 3n = n/3 + 2n/3 + 6.

Combine like terms: 2n/3 = 8.

Solve for n: n = 12.

Finally, to get the answer, the next step would be to distribute and simplify: x - 1 + 3x = -3x - 12.

Combine like terms: 7x = -11. Solve for x: x = -11/7.

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Answer:

-200

Step-by-step explanation:

The change in the horizontal distance in miles is 1.8939  miles.

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis. The slope of a line is defined as the change in the "y" coordinate with respect to the change in the "x" coordinate of that line.

Given,10% = \(\frac{-10}{100}\)  steep change route is straight So the equation of a straight line

y - \(y_{1}\)=m (x -\(x_{1}\))

vertical change, y-\(y_{1}\) = 1000 ft

So, 1000 \(\frac{-10}{100}\) (x-\(x_{1}\) ),Horizontal change

(x-\(x_{1}\) ) = 10,000 feet

1 mile = 5280feet

So in miles,

Horizontal change, (x-\(x_{1}\) ) = \(\frac{10000}{5280} miles\\\) = 1.8939 miles

So, the change in the horizontal distance in miles is 1.8939  miles.

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Answer:

Is the question 3n+12 = n +14?

Step-by-step explanation:

If so the ANSWER  is  n=1

3n+12=n+14

3n-12=n+14

3n=n+2

-n   -n

2n=2

n=1

Answer:x=-9 I hope this helps

Step-by-step explanation:

8x-5=53

Move the constant to the right-hand side and change its sign

Like this

-5x=53-8

Subtract the numbers

-5x=45

Divide both sides of the equation by 5

-x=9

Change the signs on both sides of the equation which will be

x=-9

C.) Y = 125000(1.035)x

Step-by-step explanation:

I took the test and got it right

The probability that at least $15$ cents worth of coins come up heads is

P(H)=1/16

This is further explained below.

Generally, We are doing a simultaneous toss of four coins. How likely is it that every coin will land with the head side facing up?

It has been established by everyone who has participated so far that the solution is 116, which can be written as

(1/2)4=1/16.

On the other hand, a person who is just starting out can benefit from another method to see things.

I'm going to go ahead and make the assumption that each coin is balanced and that each side has an equal chance of facing up.

Each coin has the potential to exist in either of two states (heads or tails). Therefore, there are

2^4 = 16 different permutations (states) that the four coins may be in together as a group.

Only one of these possible permutations results in all heads. This results in the correct value of 1/16.

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Answer:

The surface area of the ten t including the floor is 52.8 m².

Step-by-step explanation:

We are given that,

Shaun's tent consists of 3 rectangles and 2 triangles.

1. The dimensions of the rectangles are 5 × 3 meters.

Since, Area of the rectangle = Length × Width

i.e. Area of 3 rectangles = 3 × Length × Width

i.e. Area of 3 rectangles = 3 × 5 × 3 = 45 m²

Thus, area of the 3 rectangles is 45 m².

2. The dimensions of the triangles are base= 3 meter and height= 2.6 meter

As, Area of the triangle =

i.e. Area of 2 triangles =

i.e. Area of 2 triangles =

i.e. Area of 2 triangles =

i.e. Area of 2 triangles = 7.8 m²

Thus, area of 2 triangles is 7.8 m².

So, the total surface area of the prism = Area of rectangles + Area of triangles

i.e. Total surface area = 45 + 7.8 = 52.8 m²

Hence, the surface area of the ten t including the floor is 52.8 m².Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

Khan Academy

The area of the sheet of paper in correct metric units is 602.6c\(m^{2}\).

A region's size on a plane or curved surface is expressed by the term "area," which is a mathematical concept. As opposed to surface area, which refers to the area of an open surface or the boundary of a three-dimensional object, plane region or plane area refers to the area of a form or planar lamina. Area can be thought of as the volume of material, at a particular thickness, required to create a model of the shape, or as the volume of paint required to paint the surface in a single coat. It is equivalent to the volume of a solid or the length of a curve in two dimensions (a three-dimensional concept).

Calculations:

The length of a 8 X 11 paper in metric unit is 27.9 cm and width of 8 X 11 paper in metric unit is 21.6 cm.

Area of sheet of paper=length*width

               =27.9*21.6

               =602.6 c\(m^{2}\)

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​

Answer:

A = 0; B = -9/2

Step-by-step explanation:

To have no solutions, you need parallel lines with equal slopes and different y-intercepts.

3x + 4y = A      Eq. 1

Bx - 6y = 15     Eq. 2

In Eq. 1, notice that the coefficient of x is 3/4 of the coefficient of y.

We must have the same ratio for the coefficients in Eq. 2.

B/(-6) = 3/4

4B = -6(3)

4B = -18

B = -9/2

Now we have

3x + 4y = A      Eq. 1

-9/2 x - 6y = 15     Eq. 2

How do we change the left side of the second equation into the left side of the first equation? -6/4 = -3/2 and also -9/2 ÷ 3 = -3/2

To change the left side of the second equation into the left side of the first equation, divide the left side by -3/2.

If we divide 15 by -3/2 we get -10.

The equation -9/2 x - 6y = -10 is the same as Eq. 1, so that would create a system of equations with only one equation and an infinite number of answers.

To have no equations, the y-intercepts must be different, so A can be any number other that -10.

Answer: A = 0; B = -9/2

The characteristics of the quadratic function f(x) = -0.25(x + 2)(x + 8) are given as follows:

The x-intercepts of a function are the values of x for which the function is zero, that is:

f(x) = 0.

Hence:

-0.25(x + 2)(x + 8) = 0.

The roots are already factored, as follows:

In expanded form, the function is:

f(x) = -0.25(x + 2)(x + 8)

f(x) = -0.25(x² + 10x + 16)

f(x) = -0.25x² -2.5x - 4

The coefficients are:

a = -0.25, b = -2.5, c = -4.

The x-coordinate of the vertex is given as follows:

\(x_v = -\frac{b}{2a} = -\frac{-2.5}{4(-0.25)} = -2.5\)

Which is also the axis of symmetry of the quadratic equation.

The y-coordinate of the vertex is:

\(y_v = -\frac{b^2 - 4ac}{4a} = -\frac{(-2.5)^2 - 4(-0.25)(-4)}{4(-0.25)} = -2.25\)

Hence the vertex is:

(-2.5, -2.25).

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There is a rule for finding perimetre of all polygons that perimetre is the sum of all the side's lengths ; according to this rule add the length of the sides of this polygon and you'll get the answer , the answer is the choice that you've written ( 2+3×2+5+6+7+9 ) or ( 2+3+3+5+6+7+9 ) both are correct because 3+3 is same as 3×2

perimetre is 2+3×2+5+6+7+9 = 35 units

HOPE IT HELPS

They shοuld use 18 degrees οf freedοm in their calculatiοns fοr the t-test.

Degrees οf freedοm (df) is a cοncept used in statistics that represents the number οf values in a calculatiοn that are free tο vary. In variοus statistical tests, degrees οf freedοm determine the variability and influence the accuracy οf the test results.

Tο calculate the degrees οf freedοm fοr the t-test, we need tο determine the sample size οf the randοm sample. In this case, the sample size is given as 19.

The degrees οf freedom (df) fοr a twο-sample t-test can be calculated using the fοrmula:

df = (n₁+ n₂) - 2

where n₁ and n₂ are the sample sizes οf the twο grοups being cοmpared.

In this scenariο, we have οne sample frοm Rachel (size n₁= 1) and the randοm sample οf οther students (size n₂= 19). Therefοre, substituting the values intο the fοrmula, we have:

df = (1 + 19) - 2

= 20 - 2

= 18

Sο, they shοuld use 18 degrees οf freedοm in their calculatiοns fοr the t-test.

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Answer:

The answer is D - cannot be determined

Step-by-step explanation:

Answer:

B. 14.0

Step-by-step explanation:

just took the test

The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

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By simplifying the equation we get,

\(1) 11s^{2} - 21st\)

\(2)4st -12\)

\(3) 2x^{2} + x^{3}\)

4) \(2(x-1)\)

5) 9x-3s-2t

6) 95x-1

7) 9x -2

8) 7s

9) 12 - 10x

10) 33x -4

11) 11t

simplifying the following equation by combining the like terms. To simplify expressions, first, expand any brackets, then multiply or divide any terms and, if appropriate, utilize the rules of indices, then gather like terms by adding or removing, and finally rewrite the expression.

\(1)\\1s^{2} + 10s^{2} - 21st\\11s^{2} - 21st\)

\(2)\\5st -st -12\\4st -12\)

\(3) \\x^{2} +x^{2} +x^{3} \\2x^{2} + x^{3}\)

4)

\(6x - 4x \\2(x-1)\)

5)

9x-3s-2t

9x-3s-2t

6)

87x + 8x -1

95x-1

7) 3x + 6x -2

 9x -2

8)

8s - 4s +3s

4s + 3s

7s

9)

12 + x - 11x

12 - 10x

10)

12x + 24x - 3x -4

36x - 3x - 4

33x -4

11)

14t + 8t -12t

22t - 12t

10t

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Answers:

x= -10 and y= 16

3y = -6x - 12

3y = -6(-2y+22) -12

3y = 12y - 144

3y + -12y = 12y -144 + -12y

-9y = -144

divide -9 on both sides

y= 16

x= -2y+22

x= -2y+22

x= (-2)(16)+22

x= -10

The Union of South American Nations (UNASUR) is not a regional alliance.

What is the Union of South American Nations?

The Union of South American Nations was formed in 2008 to further the interests of South American nations. It was an intergovernmental union and that was meant to bring more prosperity to the region.

There are also plans to make UNASUR a single-currency union. The Union of South American Nations was never meant to be a regional alliance however.

complete question is

the union of south american nations (unasur) is considered all of the following except (5 points) group of answer choices a supranational organization an intergovernmental union a single-currency union a regional alliance

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Quadratic equation is the polynomial equation in which the highest degree of its variable is two.The highest degree of the equation given in option 1 is four and thus it is a quadratic equation. Hence, option 1 is the correct option.

Quadratic equation is the polynomial equation in which the highest degree of its variable is two.

Let's check all the given options one by one whether it is a quadratic equation or not.

Option 1-

\(6(x + 2)^2 + 8x + 2 + 1 = 0\)

simplify the above equation using the algebraic formula of the whole square, we get,

\(6(x^2 + 4x+4) + 8(x + 2) + 1 = 0\)

\(6x^2 + 24x+24 + 8x + 16 + 1 = 0\)

\(6x^2 + 32x+41 = 0\)

The highest degree of the equation given in option 1 is four and thus it is a quadratic equation.

Option 2-

\(6x^4+7x^2-3=0\)

The highest degree of the equation given in option 2 is four and thus it is not a quadratic equation. hence option 2 is incorrect.

Option 3-

\(5x^6+x^4+12=0\)

The highest degree of the equation given in option 3 is six and thus it is not a quadratic equation. hence option 3 is incorrect.

option 4-

\(x^9+x^3-10=0\)

The highest degree of the equation given in option 4 is nine and thus it is not a quadratic equation. hence option 4 is incorrect

Hence, the highest degree of the equation given in option 1 is four and thus it is a quadratic equation. Hence, option 1 is the correct option.

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Answer:

PAIN

Step-by-step explanation:

a. The equation of the tangent line at x = 1 is y = -8x + 9. b. The correct graph is A.

To find the equation of the tangent line at x = a, we need to determine the slope of the tangent line at that point. The slope of the tangent line is equal to the derivative of the function at that point.

Given the function \(y = x^5 - 9x^2 + 5x + 4\), we can find its derivative with respect to x:\(dy/dx = 5x^4 - 18x + 5\).

To find the slope of the tangent line at x = a, substitute a into the derivative:

m = dy/dx evaluated at \(x = a = 5a^4 - 18a + 5\).

To find the y-intercept of the tangent line, we substitute the values of a and m into the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is a point on the line (in this case, x1 = a and y1 = f(a)):

y - f(a) = m(x - a).

For a = 1, we have:\(y - f(1) = (5(1)^4 - 18(1) + 5)(x - 1),\)

y - 1 - (-17) = (-8)(x - 1),

y = -8x + 9.

Therefore, the equation of the tangent line at x = 1 is y = -8x + 9.

To graph the curve and the tangent line, use a graphing utility with the given window settings [-3, 3, 1] by [-20, 20, 5]. Plot the function\(y = x^5 - 9x^2 + 5x + 4\)and the tangent line y = -8x + 9 on the same set of axes.

[Graph: Curve \(y = x^5 - 9x^2 + 5x + 4\)and tangent line y = -8x + 9]

In the graph, you will see the curve of the function and a straight line that represents the tangent line at x = 1. The tangent line intersects the curve at the point (1, 1). This visual representation demonstrates the relationship between the curve and its tangent line at that specific point.

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We get a total of 40 + 36 + 28 = 104 calories in the granola bar. So, this granola bar contains 104 calories. The granola bar in question contains 10 grams of carbohydrates, 4 grams of fat, and 7 grams of protein.

To calculate the total number of calories in the granola bar, we need to know the number of calories per gram for each of these nutrients.

Carbohydrates and protein both provide 4 calories per gram, while fat provides 9 calories per gram. So, to calculate the total number of calories in the granola bar, we can multiply the number of grams of each nutrient by its corresponding number of calories per gram and then add them up.

For carbohydrates, we have 10 grams x 4 calories per gram = 40 calories. For fat, we have 4 grams x 9 calories per gram = 36 calories. And for protein, we have 7 grams x 4 calories per gram = 28 calories.

Adding these together, we get a total of 40 + 36 + 28 = 104 calories in the granola bar. So, this granola bar contains 104 calories.

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Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation: