What is the value of -2(5x + 11) = -4(x - 2)

In order to have length twice width the answer should be 28 feet.

Let x be the width of the garden.

The length of the garden is 2x.

The perimeter of a rectangle is equal to 2(length + width)

So 42 = 2(2x + x)

42 = 2(3x)

x = 14

The width of the garden is 14 feet and the length is 2x = 2(14) = 28 feet.

The answer is 28 feet (Option a).

Mensuration is the branch of mathematics that deals with the measurement of geometric shapes and figures, such as length, area, and volume. It typically includes the study of geometric shapes, such as circles, triangles, and polygons, and their properties, such as perimeter, area, and volume. Mensuration is used in many fields, including engineering, physics, and computer graphics.

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Answer:

1/5 cup of oil is left in the measuring cup

Step-by-step explanation:

4/5-3/5=1/5

4-3=1

ANSWER

14 days

EXPLANATION

The mean of a data set is the sum of all data, divided by the number of data,

In this case, the number of data is 6, so the mean is,

Hence, the mean number of days taken for medical leave each month is 14.

Answer:

10 is 20% of 50.

50 beats per minute

The acute angles in a right triangle have measures of 30 degrees and 60 degrees if the ratio of these angles is 1:2.

The hypotenuse, along with the two legs, make up a right triangle. The hypotenuse, the longest side of the right triangle and the side opposite the right angle, is where the two legs of a right triangle come together at a 90° angle. There are a few unique varieties of right triangles, including the 45°-45° and the 30°-60° varieties.

The ratio of the angular dimensions of the acute angles of a right triangle is 1:2.

Consider x

Sum of three angles is 180 degrees.

Now,

180=90 + x + 2x

180 - 90=3x

3x = 90

x = 30

here, x and 2x, are two angles  30 and 60 degrees.

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To determine whether the actual fit is an interference fit or a clearance fit, you need to measure the actual sizes of the shaft and hole and compare them to the tolerance limits specified by the H8 and p7 designations.

In a transition fit, such as φ50 H8/p7, the fit allows for both interference and clearance depending on the actual sizes of the shaft and hole.

To determine whether the actual fit formed by the actual shaft and hole is an interference fit or a clearance fit, we need to compare the actual sizes of the shaft and hole with the tolerance limits specified by the H8 and p7 designations.

In this case, the H8 tolerance for the hole indicates a basic hole size with a relatively tight tolerance, while the p7 tolerance for the shaft indicates a basic shaft size with a looser tolerance. The "φ50" specification specifies the nominal size of the fit as 50 mm.

If the actual shaft size falls within the upper limit of the p7 tolerance and the actual hole size falls within the lower limit of the H8 tolerance, the fit will be a clearance fit. This means that there will be a gap or clearance between the shaft and the hole, allowing for easy assembly and potential movement or play between the parts.

On the other hand, if the actual shaft size falls within the lower limit of the p7 tolerance and the actual hole size falls within the upper limit of the H8 tolerance, the fit will be an interference fit. This means that the shaft will be larger than the hole, resulting in a tight fit where the parts are pressed or forced together. This can create friction and require more force for assembly.

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The percentage of the company she owns after selling its specific parts is equivalent to 41.66%.

In mathematics →

Given is that an entrepreneur sells of 1/2 her company to one buyer and 1/6 to another buyer.

Assume that the amount of company left in percentage is equivalent to {R%}. Let the complete company be represented by 100%. The remaining percent of company after selling half of it can be written as -

100 - {1/2 x 100} = 100 - 50 = 50%.

The remaining percent of company after selling 1/6 of it can be written as -

{R%} = 50 - {1/6 x 50} = 50 - 8.34 = 41.66%
{R%} = 41.66%

Therefore, the percentage of the company she owns after selling its specific parts is equivalent to 41.66%.

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{Complete question is given below -

An entrepreneur sells 1/2 of her company to one buyer and 1/6 to another buyer. What percent of the company does she have left?}

The dimension of subspace a is 2 and the dimension of subspace b is 1.

To find the dimensions of subspaces, we need to find a basis for each subspace and then count the number of vectors in the basis.

a. The representative vector (d, c - d, c) can be written as (d, -d, 0) + (0, c, c) = d(1, -1, 0) + c(0, 1, 1). This shows that W is spanned by the set S = {(1, -1, 0), (0, 1, 1)}. To show that S is linearly independent, we can set the linear combination equal to zero:
a(1, -1, 0) + b(0, 1, 1) = (a, -a, b) + (0, b, b) = (0, 0, 0)
This implies a = -b and b = 0, which means a = b = 0. Therefore, S is linearly independent and a basis for W. The dimension of W is the number of vectors in the basis, which is 2.

b. The representative vector (2b, b, 0) can be written as b(2, 1, 0). This shows that W is spanned by the set S = {(2, 1, 0)}. To show that S is linearly independent, we can set the linear combination equal to zero:
a(2, 1, 0) = (0, 0, 0)
This implies a = 0. Therefore, S is linearly independent and a basis for W. The dimension of W is the number of vectors in the basis, which is 1.

In summary, the dimension of subspace a is 2 and the dimension of subspace b is 1.

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Step-by-step explanation:

feeling the compa

Como te amo mucho

The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.

It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.

The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.

The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.

A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.

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Answer:

I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.

Step-by-step explanation:

The weights of the liters of water are 49.75 kg and 4.975 kg

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

1l of water weighs almost 0,995 kg.

This means that

Weight = 0,995 kg

For 50 l, we have

Weight = 50 * Weight  of 1 liter

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

Weight = 0,995 * 50 kg

Evaluate

Weight = 49.75 kg

For 0.5 l, we have

Weight = 0.5 * Weight  of 1 liter

So, we have

Weight = 0.995 * 0.5 kg

Evaluate

Weight = 4.975 kg

Hence, the weights are 49.75 kg and 4.975 kg

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The expression for the magnitude and phase as a function of (\(\omega\)) is:

Magnitude: (\(A(\omega) = \sqrt{10496}\))

Phase: (\(\theta(\omega) = \arctan\left(\frac{-64}{80}\right)\))

To determine the magnitude and phase of a complex function, we need to express it in the standard form of a complex number, which is \((A \angle \theta)\), where (A) is the magnitude and (\theta) is the phase.

Given the function (\(f(\omega) = \frac{8}{10 + 8j}\)), we can find the magnitude and phase as follows:

First, let's express the function in the standard form:

[\(f(\omega) = \frac{8}{10 + 8j} = \frac{8}{10 + 8j} \times \frac{10 - 8j}{10 - 8j} = \frac{80 - 64j}{100 + 80j}\) ]

Now, we have the numerator and denominator in the form (a + bj). To find the magnitude, we use the formula:

[A = \(\sqrt{a^2 + b^2}\)]

where (a = 80) and (b = -64). Substituting these values, we get:

[A = \(\sqrt{80^2 + (-64)^2} = \sqrt{6400 + 4096} = \sqrt{10496} \approx 102.439\)]

To find the phase, we use the formula: [\(\theta = \arctan\left(\frac{b}{a}\right)\)]

where (a = 80) and (b = -64). Substituting these values, we get:

\(\theta = \arctan\left(\frac{-64}{80}\right) = \arctan(-0.8) \approx -38.66^\circ\)

Therefore, the expression for the magnitude and phase as a function of \((\omega)\)is:

Magnitude: \((A(\omega) = \sqrt{10496})\)

Phase: \((\theta(\omega) = \arctan\left(\frac{-64}{80}\right))\)

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A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.

Step 1: Simplify both sides of the equation.

\($$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$\)

\($g=3 \frac{1}{2}$\)

Therefore, the correct answer is option a)\($g=\frac{7}{2}$\).

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Answer:

50 p Is a better deal

Step-by-step explanation:

if wrong let me know

Answer:a/b x c/d= a x c/b x d

Show that ac and bd are integers

Step-by-step explanation:

The required result can be proved by showing the numerators and denominators of the product as integers. The correct option is (A).

The given number can be checked for a rational number by first writing it in the form of p/q and then p and q should not have any common factors and q ≠ 0.

The given problem can be solved as follows,

A rational number can be written in the form of a/b where a and b are integers and b ≠ 0.

Now, in order to show the product of two rational numbers a/b and c/d as a rational number the suitable steps can be as follows,

First find the product of numbers as (a × b)/(c × d) = ab/cd.

Then, prove that ab and cd are integers having no common factors.

Hence, the best method to prove the given case is to show that ab and cd are integers.

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Answer:

around 33.51

Step-by-step explanation:

Hello! :)

Let’s start with the basics:

How to Find the Volume of a Sphere:

Formula: V= 4/3\(\pi\)r^3, which means the volume is 4/3 times the approximation of pi (3.14 or 22/7) time the radius with an exponent of 3.

Now that we know how to find the volume of a sphere, let’s solve the actual problem :D

The diameter is 4. We have to find the radius to find a volume of a sphere.

The radius is the diameter divided by 2; that makes our radius, 2.

So, V= 4/3\(\pi\)(2)^3
Let’s solve the exponent first. 2^3= 2(2)(2) which is 8.

Now, you can either solve 4/3 times 8 first, or 4/3 times pi. I’m going to solve 4/3 times 8 to make it a little bit easier.

4/3 times 8= 32/3 which is around 10.7 (10.6667).

Now, let’s do 10.7 times pi. (I’ll be using 3.14 as the approximation of pi.)

10.7 x 3.14= 33.598 (actual answer using 10.6667 is 33.51).

And there you go! I hope this helps, let me know if you have any questions/I did anything wrong. Good luck! :D

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

The value of the voltage of the electricity is 6 + j + 2j²

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

C = 2 - j

I = 3 + 2j

The formula of voltage is given as

V = CI

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

V = (2 - j) * (3 + 2j)

Open the brackets

So, we have

V = 6 + 4j - 3j + 2j²

Evaluate the like terms

V = 6 + j + 2j²

Hence, the voltage is 6 + j + 2j²

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The sampling method that could NOT have been used is systematic random sampling.

In systematic random sampling, the researcher selects every kth element from a list or population after starting at a randomly chosen point. This method ensures that the sample is representative of the entire population by providing an equal chance for every individual to be included in the sample.

In the given sample, the selected students follow a pattern where the fifth and twentieth students from each class are chosen. This pattern does align with the systematic random sampling method. In systematic random sampling, the researcher would start at a randomly chosen point, for example, a random student in class A, and then select every 15th student from that point onward (since there are 30 students in each class). This would result in selecting A05, A20, B05, B20, C05, C20, D05, D20, E05, and E20, which matches the given sample.

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Answer:

1,582.25 kilogramos

Step-by-step explanation:

Para determinar los kilogramos de maíz que lleva el camión, se debe multiplicar el peso de los dos tipos de bultos que lleva por la cantidad de cada uno y sumar estos valores para obtener la respuesta:

(20.5*32)+(48.75*19)=656+926.25=1,582.25

De acuerdo a esto, el camión lleva 1,582.25 kilogramos de maíz.

The percentage of the cub scout which are atleast as old as the near scout refers to percentage of the cub scout which are atleast 8 years old. Hence, the percentage is 28%

Cub scouts which are atleast 8 years old :

Hence, the percentage of cub scout which are atleast 8 years old is 28%

Therefore, the percentage of the cub scout that are atleast as old as the Bear scout is 28%

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Answer:

15. x = 4

16. x = 7

Step-by-step explanation:

15.

CD/ ED = DG / DF

48 / (5x - 2) = 40 / (2x + 7)

48 (2x + 7) = 40 (5x - 2)

96x + 336 = 200x - 80

200x - 96x = 336 + 80

104x = 416

x = 4

16.

ST / PL = TU / LM

(x + 1) / 72 = (2x - 3) / 99

99 (x + 1) = 72 (2x - 3)

99x + 99 = 144x - 216

144x - 99x = 99 + 216

45x = 315

x = 7

Answer:

15.  x = 4

16.  x = 7

Step-by-step explanation:

Similar Triangles

In similar triangles, corresponding sides are always in the same ratio.

If ΔCDG ~ ΔEDF then:

From inspection of the given diagram:

Therefore:

\(\implies \sf CD : ED = DG : DF\)

\(\implies 48 : (5x-2) = 40 : (2x+7)\)

\(\implies \dfrac{48}{(5x-2)} = \dfrac{40}{(2x+7)}\)

\(\implies 48(2x+7)=40(5x-2)\)

\(\implies 96x+336=200x-80\)

\(\implies 416=104x\)

\(\implies x=\dfrac{416}{104}\)

\(\implies x=4\)

If ΔSTU ~ ΔPLM then:

From inspection of the given diagram:

Therefore:

\(\implies \sf ST : PL = TU : LM\)

\(\implies (x+1) : 72 = (2x-3) : 99\)

\(\implies \dfrac{(x+1)}{72}= \dfrac{(2x-3)}{99}\)

\(\implies 99(x+1)=72(2x-3)\)

\(\implies 99x+99=144x-216\)

\(\implies 315=45x\)

\(\implies x=\dfrac{315}{45}\)

\(\implies x=7\)

I don't expect you to pay me or give me brainliest. Just want to help.

Step-by-step explanation:

I'll start with the answers to each one, then explain exponents.

1) 5^4 = 625

2) x^3 = 0

3) 2^-1 = 0.5

4) 2^0 = 1

An exponent is a quantity representing the power to which a given number or expression is to be raised. (Don't use this exact definition in your answer.)

I'll use 5^4 as an example.

5^4 has a positive exponent, which means 5 is multiplied by itself 4 times.

5 * 5 * 5 * 5 = 625.

The number 5 here is considered the base.

In x^3, x is the base.

In 2^-1, 2 is the base, and so on.

If the exponent is 0, like 2^0, the answer is 1, regardless of the base.

5^0 = 1, 10^0 = 1, 3^0 = 1, and so on.

If the exponent is negative, like 2^-1, you will use this process;

2^-1 = 1/(2^-1) = 1/2 = 0.5

Here's a better example.

2^(-4) = 1/(2^4) = 1/(2*2*2*2) = 1/16 (or) 0.0625

Good luck mate. :)

Billy needs an additiοnal 68.3 min. each day tο cοmplete the 500 minutes in 6 days.

Time is the cοntinued sequence οf existence and events that οccurs in an apparently irreversible successiοn frοm the past, thrοugh the present, intο the future. It is a cοmpοnent quantity οf variοus measurements used tο sequence events, tο cοmpare the duratiοn οf events οr the intervals between them, and tο quantify rates οf change οf quantities in material reality οr in the cοnsciοus experience. Time is οften referred tο as a fοurth dimensiοn, alοng with three spatial dimensiοns

Firstly, yοu need tο wοrk οut hοw many minutes he is already reading fοr; in this case, yοu dο 15 multiplied by 6 which is:

15 × 6 = 90

Then tο wοrk οut hοw many minutes mοre he needs tο read, yοu dο

500 − 90 = 410

Finally, tο wοrk οut hοw many minutes per day, yοu just divide 410 by the 6 days he's gοing tο read fοr. Sο yοu get the answer οf

\(\frac{205 }{3} = 68.\bar3\)

Hence, Billy needs an additiοnal 68.3 min. day tο cοmplete the 500 minutes in 6 days.

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9514 1404 393

Answer:

  1 solution

Step-by-step explanation:

The coefficients of x are different on each side of the equal sign, so this equation has one solution.

_____

Additional comment

If the x-coefficients are the same on each side of the equal sign, then you need to look at the constants. If they are the same, there are an infinite number of solutions; if they are different, no solutions.

This equation simplifies to ...

  3x -3 = 2x +9

  x = 12 . . . . . . . . add 3-2x to both sides

The solution of expression by applying distributive property and combining like terms,

⇒ x = 12

Given that,

The mathematical expression is,

⇒ 3(x - 1) = 2x + 9

Now, simplify the expression by applying distributive property and combining like terms,

⇒ 3(x - 1) = 2x + 9

Apply distributive property,

⇒ 3x - 3 = 2x + 9

Combine like terms,

⇒ 3x - 2x = 9 + 3

Therefore, the solution of expression is,

⇒ x = 12

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The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.

The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.

Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:

I = [[1, 0],

    [0, 1]]

In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.

Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.

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