A rectangle has an area of 18 meters square and a perimeter of 18 meters. What are its length and width?

The stem-leaf representation of the data is,

0|7 9 9

1|0 1 3 4 4 4 4 5 5 7 7

2|0 5 7

3|5.

The values of the data are divided into a stem and a leaf in a stem-leaf plot.

The initial digit or digits will be put in the stem position, and the final digit will be written in the leaf position.

Let us first rearrange the data in ascending order,

78, 95, 96, 103, 112, 134, 141, 145, 147, 148, 153, 158, 172, 172, 200, 255, 271, 359.

The data is down with the truncated leaf unit of 10, 1|4 represents a number in the 140s.

0|7 9 9

1|0 1 3 4 4 4 4 5 5 7 7

2|0 5 7

3|5.

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The range of f(x) = |x - 3| + 2 is calculated to be y ≥ 2

In geometry range refers to all the possible values of the y coordinate

using the equation f(x) = |x - 3| + 2 and plotting the values shows that the range of f(x) = |x - 3| + 2 is [2, ∞),

this means that it includes all values greater than or equal to 2, but not 2 itself.

This can be visualized on a number line as all values to the right of 2, extending towards positive infinity.

The plot is attached

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Both lines A and line B have the same slope, hence they are parallel

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

Two lines are parallel to each other if they have the same slope.

Line A passes through the points (0,4) and (4, 0)

Slope = (0 - 4) / (4 - 0) = -1

Line B passes through the points (0,7) and (7, 0)

Slope = (0 - 7) / (7 - 0) = -1

Since both lines have the same slope, they are parallel

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The number of 1/4 bottles is 11

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

Size of bottles = 1/4

Volume of container = 2.750 liters

The nuber of bottles is then calculated as

Bottles = Volume of container/Size of bottles

Substitute the known values in the above equation, so, we have the following representation

Bottles = 2.750/(1/4)

Evaluate the quotient

Bottles = 11

Hence, the number of bottles is 11

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The solution is Option C.

The equation of line is y = 2x - 2 , where the slope m = 2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

2x - y = 2   be equation (1)

On simplifying the equation , we get

Adding y on both sides of the equation , we get

y + 2 = 2x

Subtracting 2 on both sides of the equation , we get

y = 2x - 2

Therefore , the value of A is y = 2x - 2

Hence , the equation of line is y = 2x - 2 and the graph is plotted

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The volume of the pyramid is 554.3 inches cube.

A hexagonal pyramid is a 3D design in which the base is hexagonal and the faces or sides are isosceles triangles, which come together to form the hexagonal pyramid at the summit of the pyramid. A hexagonal pyramid has six sides on the base and six isosceles triangles on the sides. Heptahedron is another name for a hexagonal pyramid. There are 7 faces, 12 edges, and 7 vertices in a hexagonal pyramid.

We have a side of a regular hexagon  is 8 inches, and the height of the pyramid is 10 inches

The volume of the pyramid whose base is a hexagon

[tex]Volume=\frac{\sqrt3}{2}b^2h\\\\Volume =0.866*10*8*8\\= 554.3[/tex]

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To determine whether the vector field f(x,y) = (6x + 5y)i + (x - 2y)j is conservative, we must first calculate its curl. The curl of the vector field is the vector field given by the equation:

curl(f(x,y)) = (5 - 2)i + (1 + 6)j = 3i + 7j

Since the curl of the vector field is equal to zero, this means that the vector field is conservative.

To find the potential function for this vector field, we need to calculate the line integral of the vector field along any closed path. In other words, we need to calculate the following integral:

V(x,y) = ∫C f(x,y) ⋅ ds

Where C is any closed path. We can solve this integral using the fundamental theorem of calculus, which states that the line integral of a conservative vector field is equal to the difference between the potential function evaluated at the two end points of the path.

Thus, we can solve for the potential function by finding the value of the potential function at two points and taking the difference of these values. For example, we can choose the points (0,0) and (1,1). At (0,0), the potential function is 0, and at (1,1), the potential function is 3 + 5 + (-2) + 1 = 7. Thus, the potential function is V(x,y) = 3x^2 + xy + 2y^2.

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The rough calculation yields a amount of $900

If you carry a balance on your credit card, the card company will multiply it each day by a daily interest rate and add that to what you owe. The daily rate is your annual interest rate (the APR) divided by 365. For example, if your card has an APR of 16%, the daily rate would be 0.044%.

Given here: price of brakes =$756.25 and annual rate on credit card is 24.25%

Thus the if installment is $100 then It will take 9 months to payoff the balance. The total interest is $73.54.

Hence, The rough calculation yields a amount of $900

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Answer:

830.52

Step-by-step explanation:

got it right on test..

Answer:

I don't know sorry :((

Step-by-step explanation:

share in other part :(

Relative value is the opposite of absolute value. while absolute cost examines the cost of an asset or organisation with out evaluating it to any others, relative fee is primarily based on the value of similar assets or businesses.

Relative value is a technique of determining an asset's worth that takes into account the value of similar belongings. that is in contrast with absolute price, which seems most effective at an asset's intrinsic value and does not evaluate it to other assets. Absolute change refers to the easy difference inside the indicator over two intervals in time, i.e. Relative change expresses the absolute exchange as a percentage of the price of the indicator in the earlier length.  A relative maximum or minimum happens at turning factors at the curve wherein because the absolute minimal and most are the proper values over the entire area of the function. In different words the absolute minimum and most are bounded by means of the area of the function.

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The limit value for each function is:

a) To calculate limt→[infinity]p(t), we can start by dividing the numerator and denominator of the equation by t, to get:

p(t) = t/t-1

Next, we can take the limit of this expression as t approaches infinity:

limt→[infinity]p(t) = limt→[infinity]t/t-1

Since t is the only variable in the expression, as t approaches infinity, the expression will approach infinity as well. Therefore, limt→[infinity]p(t) = ∞

b) To calculate limt→1+p(t), we can start by rewriting the equation as p(t) = 1/(t-1). Next, we can take the limit of this expression as t approaches 1:

limt→1+p(t) = limt→1 1/(t-1)

Now, we can use the limit laws to simplify the expression:

limt→1+p(t) = 1/limt→1(t-1)

Since the denominator is approaching 0 as t approaches 1, the expression approaches infinity. Therefore, limt→1+p(t) = 1.

c) To calculate limt→2p(t), we can start by dividing the numerator and denominator of the equation by t2, to get:

p(t) = 1/t-1

Next, we can take the limit of this expression as t approaches 2:

limt→2p(t) = limt→2 1/t-1

Now, we can use the limit laws to simplify the expression:

limt→2p(t) = 1/limt→2(t-1)

Since the denominator is approaching 0 as t approaches 2, the expression approaches infinity. Therefore, limt→2p(t) = 0.

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The cost per square inches of the circular pie is C = $ 0.164

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the cost per square inch of the apple pie be C

Let the area of the circle be represented as A

Now , the diameter of the circle is d = 10 inches

So , the radius of the circle r = d/2 = 5 inches

And , area of the circle = πr²

Substituting the values in the equation , we get

Area of Circle A = π x ( 5 )²

Area of Circle A = 78.5398 inches²

The cost of the apple pie = $ 12.85

Now , the cost for 78.5398 inches² of apple pie = $ 12.85

So , the cost for 1 inches² of pie C = 12.85 / 78.5398

On simplifying the equation , we get

The cost per square inches C = $ 0.164

Hence , the cost per square inches is $ 0.164

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Answer: would be 0.16th

hope this helped :)

Answer:

Option A will have the least amount of interest because simple interest generates earnings from principal only.

Step-by-step explanation:

got it right :D

Answer:

[tex]p=\frac{15}{24}[/tex]

Step-by-step explanation:

When making or analysing a histogram, you should keep in mind the following words and concepts.

Skewness of a normal distribution

kurtosis

Your histogram will be symmetrical if the data on which it is based are regularly distributed.

Your histogram will be positively biassed if it has more little than large numbers. Your histogram will be negatively skewed if there are more large than little numbers.

positive skew... mean... median... mode... mode Mean Median Mode = median = mean with a negative skew

A histogram's overall look is related to kurtosis in addition to skewness:

tall and lean... leptokurtic typical... mesokurtic broad and short platykurtic

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In order to prove that more tv time causes bad grades we would need to do a controlled Experiment.

The correlation between time spent watching television and grades in school suggests a relationship between the two variables, but it does not necessarily prove causality. In order to establish a causal relationship between the two variables, it is necessary to conduct a controlled experiment.

In a controlled experiment, the independent variable (in this case, TV time) is manipulated, while the dependent variable (grades in school) is measured. By controlling for other possible factors that may affect grades, such as study habits, home environment, and socio-economic status, it is possible to determine whether changes in TV time directly impact grades in school. This would provide stronger evidence for a causal relationship between the two variables.

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The domain of a function is the set of its possible inputs. it means that  the set of input values  for which the function is defined.

The domain of Function A is the set of real numbers.

The domain of Function B is the set of real numbers greater than or equal to zero.

Here, function A is given that,  

Since, above function can take any value as its input.

That is function is defined for every value of x.

Therefore, The domain of Function A is the set of real numbers.

Here, graph of function B is attached.

From graph of function B, it is observed that graph of function is right side of Y - axis and starting from x = 0.  It means that function B can take any value greater than equal to zero.

Therefore, The domain of Function B is the set of real numbers greater than or equal to zero.

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The flag have four lines of symmetry.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

The given flag has four lines of symmetry.

We can cut the flag in to half by horizonal way.

In the vertical way.

and we can make the flag to half by diagonal way in two ways.

Hence, the flag have four lines of symmetry.

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The simplified form is q⁹rs⁶t

Index forms are simply described as a method of writing numbers that are too large or small in more concise forms.

The other names for index forms are scientific notation and standard forms.

There are rules for index forms, some of them are;

From the information given, we have that;

qr^0s^5t^0 x q^8rst

Note that any number raised to zero is 1, then we have;

qs⁵ × q⁸rst

Now, add the exponents of the like bases

q⁹rs⁶t

Hence, the value is q⁹rs⁶t

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The solution to the system of equations shown in the graph is (6, -2)

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The solution to a system of linear equations is the point where the two lines meet.

The lines meet at where the x value is 6 and the y value is -2, hence the solution is (6, -2)

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Answer:

half of 20 is 1010

Step-by-step explanation:

half of 20 is 1010 is your new radius so10^2 = 100100 x 3.14 = 314Now we multiply by the height:314 x 11 = 3,454 cm^3

The answer is neither A nor B for the following definite integral.The definite integral is the difference between the values of the antiderivative evaluated at the limits of integration.

The antiderivative of tet(i-j-5k) with respect to t is not a standard mathematical function, and its exact form cannot be determined without more information about the function tet(i-j-5k). The indefinite integral is represented by an arbitrary constant "c". The definite integral is the difference between the values of the antiderivative evaluated at the limits of integration, and the value of the definite integral can only be found if the limits of integration are known. Therefore, the answer is neither A nor B.

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The values of the parallelogram in the figure are a = 5, x = 9 and y = 3

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

The shape is a parallelogram

By the congruence of opposite sides, this means that

2x + 25 = 4x + 7

Evaluate the like terms

2x = 18

Divide by 2

x = 9

By the congruence of opposite sides, this means that

10y + 4 = 7y + 13

Evaluate the like terms

3y = 9

Divide by 3

y = 3

Also, we have

2 * (a + 12) = 4a - 6

So, we have

2a + 24 = 4a - 6

Evaluate the like terms

6a = 30

Divide

a = 5

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Either SF: 1.2 or SF: 0.8. The scale factor that Stacey could use to dilate the current dimensions and meet the customer's requirements are:

When Stacey dilates the rug using a scale factor, the new dimensions of the rug will be found by multiplying the current dimensions by the scale factor.

For a scale factor of 1.2, the new width and length will be:

Width: * 1.2 =

Length: * 1.2 =

Since the new width is less than 8, the scale factor of 1.2 meets the customer's requirements.

For a scale factor of 0.8, the new width and length will be:

Width: * 0.8 =

Length: * 0.8 =

Since the new width is also less than 8, the scale factor of 0.8 meets the customer's requirements.

So, either SF: 1.2 or SF: 0.8 can be used by Stacey to dilate the current dimensions and meet the customer's requirements.

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Statistical methods are the processes of collecting, presenting, analyzing data, and drawing conclusions.

These methods are divided into two groups: descriptive statistics and inferential statistics.

The scope of descriptive statistics includes distributions of random and random variables, discrete and continuous random variables. For inference statistics, including statistical inference from one or two populations, analysis of variance, regression analysis, and analysis of categorical data from both random and normal populations.

Statistical techniques include many ways to collect, present, analyze, and draw conclusions from data. By considering these methods, you can choose which method to use according to the characteristics of your data.

Choosing the right method leads to drawing the right conclusions.

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The Transformation is graph of f is translated 3 units up and 7 units to the right.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given: y=f(x-7) + 3.

As, from the Rule the f(x, y) --> f(x-c, y) shows the horizontal shift on right side.

So, the function is shifted 7 units to the right.

Now, the rule f(x)--> f(x) + c shows the vertical translation up by c units.

So, the function is translated 3 units up.

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The position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.

The position of each point on the membrane can be determined by solving the equation u xx + u yy = c2u, where u is the displacement of the membrane from its equilibrium position and c is the speed of the wave propagation. Since we are given f(x,y) = x(x-1)y(y-1), we can solve this equation to find u. Differentiating f(x,y) twice with respect to x and y gives us the corresponding derivatives of u. Plugging these derivatives into the equation gives us u xx + u yy = (14+u) c2. Solving this equation yields the displacement of each point on the membrane for t>0. Thus, the position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.

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Answer:

[tex]4\frac{1}{12}[/tex] yards

Step-by-step explanation:

[tex]\frac{43}{4} -\frac{20}{3} \\\frac{129}{12} -\frac{80}{12} \\=\frac{49}{12} \\= 4\frac{1}{12}[/tex]

the daily number of absences at high school a in the state is approximately bormally distributed with mean 122 students and standard deviation of 11.5 students.

if more than 140 students are absent on the day the attendance count is taken for funding purposes ,

the school will lose some of its state funding in the subsequent year

We are to obtain the standard deviation of the given values :

{24, 18, 31,25, 34}

The standard deviation = √(Σ(x - mean)²/ n)

The mean = (ΣX) /n

Using calculator to save computation time :

The standard deviation, s = 6.27 (2 decimal places)

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Answer:

hi !!

Step-by-step explanation:

first the domain of f(x) : 2*-1 -1 < 2x-1 < 2*4 -1 = -3 <2x-1 < 7

now the domain of g(x) : 4/(3-2) < 4/(x-2) < 4/(5-2) = 1.3 < 4/(x-2) < 4

now h(x) = -3 - 1.3 <f(x) - g(x) < 7-4 = - 4.3 < f(x) - g(x) < 3

it is the answer e : None of the Above