What is the actual length of the living space if the length in the scale drawing is 16. 8 in the scale

On solving the provided question, we can say that the perimeter can be calculated by add all lengths of the figure =  5.6 + 8+5.6+4.5+3.5 = 27.2units

A limit is a closed route that surrounds, delimits, or includes a two-dimensional form or a one-dimension length. The outermost part of a circle or an ellipse is called the perimeter. The perimeter calculation has several real-world applications. A shape's perimeter is the measurement of its edge's radius. Discover how to determine the circle by adding together the lengths of both the sides of irregular configurations. The perimeter of any form may be calculated by multiplying its side lengths. An object's perimeter is the region that surrounds it. A good illustration of this at your house is a closed-off garden. Its perimeter is the space around something. For a 50 by 50 foot yard, a 200 foot barrier will be required.

the perimeter can be calculated by add all lengths of the figure =

5.6 + 8+5.6+4.5+3.5 = 27.2units

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The rectangle with the given properties is added as an attachment

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

We start by calculating the side lengths using

Perimeter = 2 * (Length + Width)

So, we have

2 * (Length + Width) = 28

Divide by 2

Length + Width = 14

Because the y-axis is a line of symmetry, then it means that the rectangle is divided into equal segments by the y-axis

Here, we can assume that

Length = Width (this is so because a square is a type of rectangle)

So, we have

Length = Width = 7

The above computations also mean that the vertices are equidistant from the axes and the origin

So, we have

Vertices = (3.5, 3.5), (3.5, -3.5), (-3.5, 3.5) and (-3.5, -3.5)

See attachment for the rectangle

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Answer:

1 solution, x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We can factor [tex]4x^2 - 4x + 1[/tex] first:

[tex](2x-1)(2x-1)[/tex]

= [tex](2x-1)^2[/tex]

To find the solution, we can do:

[tex]2x-1=0[/tex]

Let's find x now:

2x = 1

x = [tex]\frac{1}{2}[/tex]

Therefore, there is 1 solution and it is x = [tex]\frac{1}{2}[/tex]

In the curve of the sinusoidal curve when x = -2 y = 2

A sinusoidal curve, also known as a sine wave, is a type of waveform that is commonly used to describe oscillations or periodic phenomena in various fields such as physics, engineering, mathematics, and electronics.

A sinusoidal curve is a graph of a function that oscillates between an upper value and a lower value, and repeats itself over a period of time.

In order to find the value of y when x = -2, from the x-axis at x = -2 trace it to touch the curve and then trace to the y-axis to get the y value (Check the attached).

Therefore, when x = -2, y = 2

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The given statement "The total area under the frequency polygon for a continuous random variable equals 1" is true because the total area under the frequency polygon is a measure of the probability of the variable and the probability of a continuous random variable is always equal to 1

Frequency polygons are graphical representations of a continuous random variable. The total area under the frequency polygon for a continuous random variable is a measure of the probability of the variable. In this problem, we are asked if the total area under the frequency polygon for a continuous random variable equals 1.

The answer is true. The total area under the frequency polygon for a continuous random variable indicates the probability of the variable. Since the probability of a continuous random variable is always 1, the total area under the frequency polygon also equals 1.

Therefore, it is true that the total area under the frequency polygon for a continuous random variable equals 1.

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Using the business strategy of horizontal integration, a firm will buy out or combine with another business in its sector at the same stage of development.

Obtaining access to new goods, technology, or distribution routes, enables the acquiring firm to boost its market share and competitiveness.

Simply put, horizontal integration refers to the purchase or merger of rival businesses operating in the same sector. The objective is to lessen competition and boost economies of scale, which can result in greater effectiveness and financial success.

In sectors like retail, where huge chains may buy smaller rivals to broaden their geographic reach or product offers, horizontal integration is frequent.

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A scientist planted seeds in 4 sections of soil for an experiment. Not all of the seeds grew into plants. After 20 days, the scientist counted the number of plants in each of the 4 sections. Thus, the number of plants per square foot will be 48.

The number of plants per square foot will be:

= (25 × 13) + (100 × 38) + (125 × 47) + (150 × 62) / (25 + 100 + 125 + 150)

= (325 + 3800 + 5875 + 9300) / 400

= 48.25

The above was illustrated by the number of plants and size of sections.

In this case, the number of plants per square foot will be 48.

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Answer:

or

0.333333

Step-by-step explanation:

8^x = 2

whats the value of x?

8^x = 2

log(8^x) = log(2)

x * (log(8)) = log(2)

x = (log(2))/(log(8))

x = 0.333333 or 1/3

----------------------

check

[tex]8^{1/3}[/tex] = 2

2 = 2

the answer is good

The value of 103 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 227.07 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 103 x 2.20462262184878

= 227.07 pounds or lbs.

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Answer:

The answer to your question is, 2 meters.

Step-by-step explanation:

We know that a median is the middle number in a sorted, ascending or descending list of numbers.

How to caluclate it:

Collected date: 1, 4, 6, 2, 4, 3, 2/3, 1/3, 1/2

Rearreange the date in accending order:

1/3, 1/2, 2/3, 1, 2, 3, 4, 4, 6

Next we should always pick the middle of the number in the arranged data..:

Media would = 2 meters

Thus, your answer is, 2 meters

Answer:

25 / 2

Step-by-step explanation:

12.5% = 125 / 10 ( simplify the fraction with 5 )

= 25 / 2

The solution of the matrix in vector form is [-13 3 -3 4]

The given matrix equation is Ax = b, where A is a matrix with 1 row and 4 columns, and b is a matrix with 1 row and 3 columns

In this case, the augmented matrix is a 5x4 matrix, with the first 4 columns being A and the last column being b. The augmented matrix for this system is then:

=> [tex]\left[\begin{array}{ccc}1&2& 3\\3& 5 &2 \\-4 &2 &5 \\-13 &11 &8\end{array}\right][/tex]

To solve the system, we can use Gaussian elimination, which is a method of solving a system of linear equations by transforming the augmented matrix into a row-echelon form.

After applying Gaussian elimination to the augmented matrix, we get the following row-echelon form:

=> [tex]\left[\begin{array}{ccc}1& 0& 0 \\-1& 0 &-3 \\-3& 0& 4 \end{array}\right][/tex]

We can then find the solution of the system by back-substitution:

=> x₁ = -13, x₂ = 3, x₃ = -3, and x₄ = 4.

Therefore, the solution of the linear system is x = [-13 3 -3 4]

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Answer:I think its A.

Step-by-step explanation:

I'm too lazy too explain you got your answer please be happy

The initial value problem calculator is a tool used to calculate differential equations.

An instrument for solving ordinary differential equations with initial conditions is an initial value problem calculator. Finding a function that solves a given differential equation and a set of initial conditions is the goal of this calculator, a particular kind of differential equation problem. The differential equation, the beginning conditions, and other pertinent parameters are entered into the calculator, which then generates a solution that fulfils the initial conditions.

Usually, the answer is provided as a function that specifies how the system behaves over time. In disciplines like physics, engineering, and economics, where differential equations are regularly employed to represent dynamic systems, these calculators are widely used. They can be helpful for obtaining an understanding of a system's behavior and for predicting its upcoming trends

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There are 10,890 square feet in 1/4 acre depending on the relation between the two.

The square feet and acres are the units to represent the area covered by any land. These units are related to each other by the formula -

1 acre of an area is similar to square feet by the quantity 43,560. So, we need to perform calculations for 1/4 acre, which are done here.

1 acre = 43,560

1/4 acre = 43,560/4

Performing division on Right Hand Side of the equation

The area covered by 1/4 acre = 10,890 square feets

Hence, the area covered in square feet is 10,890.

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Integral is a mathematical concept that is used to calculate the area under a curve between two points or to find the total accumulation of a quantity over a given interval.

The integral of a function is represented by the symbol ∫ and is also known as the "antiderivative" or "primitive" of the function. It is the opposite of the derivative operation, which finds the rate of change of a function at a given point. Instead, the integral finds the original function whose derivative is the given function.

The process of finding the integral of a function is called integration, and it involves summing up an infinite number of small areas under the curve of the function. The result of the integration is a new function that represents the area under the curve of the original function between the given limits of integration. It is an important tool in calculus and is used to solve a wide range of mathematical problems.

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The measure of angle B is given as follows:

m < B = 172º.

Vertical angles are angles that are opposite by the same vertex in crossing segments, and these angles are congruent, meaning that they have the same measure.

For this problem, angles A and B are congruent, hence the value of x is obtained as follows:

8x - 20 = 7x + 4

x = 24.

Hence the measure of angle B is obtained as follows:

m < B = 8(24) - 20

m < B = 172º.

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Answer:

Step-by-step explanation:

27/3=9

113.09724, is the diameter of craig's balloon.

What is volume ?

The area or capacity of a cone is determined by its volume.

A cone's circular base tapers from a flat base to a point known as the apex or vertex in three dimensions.

A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to each point on the base, which is in a plane without the apex.

A cone can be thought of as a collection of irregularly shaped circular disks placed on top of one another with the ratio of their radii remaining constant.

A three-dimensional shape's volume is determined by how much space it takes up.

According to our question-

V = 4/3 * * r3 is the formula for a sphere's volume.

Your balloon's diameter is 6,

hence its radius is 3.

V = 4/3 * 3.14159 * 33 = 113.09724

Hence, 113.09724, is the diameter of craig's balloon.

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The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism is 41.8°, expressed with two significant figures

The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism can be calculated using the law of total internal reflection. This law states that when a ray of light is incident on the surface separating two media of different refractive indices, the angle of incidence (θ1) must be greater than a certain critical angle (θc) in order for total internal reflection to occur.

Calculating the critical angle of the hypotenuse of a glass prism can be done by using Snell’s Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media. In this case, the two media are air and glass, with refractive indices of 1 and 1.5 respectively.

Using Snell’s Law, we can calculate the critical angle of the hypotenuse as θc = sin⁻¹ (1/1.5) = 41.8°.

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A long division polynomials calculator is an online tool used to perform polynomial long division for dividing polynomials.

A long division polynomials number cruncher is an internet based device that performs polynomial long division, a strategy used to separate one polynomial by another. This cycle is like long division with numbers, yet rather than partitioning by single-digit numbers, it includes separating by a polynomial of at least one terms. The interaction includes partitioning the most extensive level term of the profit by the most extensive level term of the divisor, then increasing the divisor by the remainder and taking away the outcome from the profit. The subsequent articulation is the rest of the division. The interaction is then continued involving the rest of the new profit, until the level of the rest of not exactly the level of the divisor. An internet based long division polynomials mini-computer robotizes this interaction, permitting clients to enter the profit and divisor polynomials and get the remainder and remaining portion. This can be helpful for understudies and experts in fields like math, physical science, and designing, who need to partition polynomials for computations and critical thinking.

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The required it will take about 1.99 years for the car to be worth half its original amount. Rounded to two decimal places, the answer is  1.99 years.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Let V be the value of the car after ⁿ years. Since the car loses 14% of its value each year, its value can be expressed as:

V = 24885(0.86)ⁿ

We want to find how many years it will take for the value of the car to be half its original amount, which means:

V = 24885/2 = 12442.5

So we need to solve for t in the equation:

12442.5 = 24885(0.86)ⁿ

Dividing both sides by 24885, we get:

0.5 = 0.86ⁿ

Taking the natural logarithm of both sides, we get:

ln(0.5) = ln(0.86ⁿ) = n ln(0.86)

Solving for n, we get:

n = ln(0.5) / ln(0.86) ≈ 1.99

Therefore, it will take about 1.99 years for the car to be worth half its original amount. Rounded to two decimal places, the answer is  1.99 years.

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A function is a rule that assigns to each value of the independent variable in the domain unique value of the dependent variable in the range.

The domain of a function is defined as the set of all possible values that a function can take as input.

The range of a function is defined as the set of all values of a function that it takes as output.

The variable that represents the input values of a given function is called the independent variable.

The variable that represents the output values of a given function is called the dependent variable.

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For the given trapezoid,

a) Length of AB is found by

   b² = 3² + 4²

b) Perimeter = 30 units.

What is a trapezoid?

A trapezoid is a quadrilateral with at least one pair of parallel sides. A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one.

The trapezoid is given in the figure below.

a) In this trapezoid, we can draw a perpendicular from B to the line AD. Let this point be E.

So the triangle ABE will be a right triangle.

Now the hypotensue will be AB.

Using Pythagoras' theorem, we can write the following relation.

AB² = AE² + BE²

From the graph of the trapezoid, we can get

AE= 4 -1 = 3 units

BE = 7 - 3 = 4 units

So if AB =b

The length of AB can be found using the,

b² = 3² + 4²

b = 5

Therefore the given statement is false.

b) The perimeter of trapezoid  = perimeter of triangle ABE + periemeter of rectangle BCDE

                                      = 5+4+3 +  2* (5+4)

                                      = 12 + 18 = 30 units.

Therefore for the given trapezoid, the perimeter is 30 units.

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The coordinates of C are (-6, -3)

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

A = (-9, -5)

B = (6, 5)

m : n = 1 : 4 i.e. 1/5

The coordinate is then calculated as

C = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have

C = 1/5 * (1 * 6 + 4 * -9, 1 * 5 + 4 * -5)

Evaluate

C = (-6, -3)

Hence, the coordinate is (-6, -3)

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Over the interval [-3, 1], the local minimum is 0,  Over the interval [-1, 0], the local maximum is 4.39,  Over the interval [0, 3], the local minimum is -32.

By plot the function on a graphing tool and visually identify the local minimum and maximum values over the specified intervals .A function that is continuous for an interval [a,b], a is not equal to b, then there is a local maximum and minimum if:

Local maximum: f(d) > f(x), ∀ x ≠ d, a ≤ d ≤ b

Local minimum: f(c)< f(x), ∀ x ≠ to c, a≤c≤b

we can proceed to solve each question:

Over the interval [-3, 1], the local minimum is 0,

since f(-2) < f(x), ∀ x ≠ -2,-3 ≤ x ≤ -1 .

Over the interval [-1, 0], the local maximum is 4.39,

since f(-0.8) > f(x), ∀ x ≠ -0.8, -1 ≤ x ≤ -1.

Over the interval [0, 3], the local minimum is -32,

since f(-2) < f(x), ∀ x ≠ -2.0 ≤ x ≤3.

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Answer:

0

4.39

-32

Step-by-step explanation:

on edge

The most widespread use of the f - distribution is to test for equality of variances from two normal populations.

In probability theory and statistics, the Fisher - Snedecor distribution is a continuous probability distribution that arises frequently as the null distribution of a test statistic, most notably in the analysis of variance and other F-tests

Given is the f - distribution.

The f - distribution is commonly used in hypothesis testing and analysis of variance (ANOVA). In hypothesis testing, the f - distribution is often used to compare the variability of two population samples or to determine whether two population variances are equal.

Therefore, the most widespread use of the f - distribution is to test for equality of variances from two normal populations.

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The expression −2⋅[4x+1(−2)] is d. -16.

To simplify the expression −2⋅[4x+1(−2)], we first need to evaluate the expression inside the square brackets:

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

Then we can substitute this back into the original expression:

−2⋅[4x+1(−2)] = −2⋅(4x - 2)

Using the distributive property, we can multiply -2 by each term inside the brackets:

−2⋅(4x - 2) = -8x + 4

Therefore, the answer is d. -16.

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Answer: x x x x x x x

Step-by-step explanation:

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The weight of each box is 13.5 and 6.25 kg

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is a system of equations,

8x+4y = 133....(i)

3x+2y = 53....(ii)

Solving the equations,

Multiplying the eq(ii) by 2 and subtracting by eq(i)

8x+4y = 133 - (6x+4y = 106)

2x = 27

x = 13.5

Put x = 13.5 in eq (ii)

3(13.5) + 2y = 53

2y = 12.5

y = 6.25

Hence, the weight of each box is 13.5 and 6.25 kg

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