If x:(x+3) = 2:3
find x

Answer:

Option C → Congruent segments

Step-by-step explanation:

The meaning of segment bisector is a segment which divides another segment into two equal parts.It is not necessary that the segement which is bisecting the another segment are perpendicular with one another.

So, when a segment is bisected the two segments are equal.

Equal means the two segments are congruent.

Most appropriate statement

Answer:

Congruent.

Step-by-step explanation:

Bisecting will give 2 segments of equal length.

We take the value 2 for which y(2)=4 and \(y^{2}\)=2 and see that y(x)=\(x^{2}\) is a function and \(y^{2}\)=x is a relation.

Domain is the set of values that a variable can take in an algebraic expression.For the equation y(x)=\(x^{2}\), x can take any value from negative infinity to positive infinity so we can say that the domain for x is (-∞,∞). For the equation \(y^{2}\)=x, x can take any value greater than or equal to zero. Since x=\(y^{2}\) we can't take a negative value for x because squared numbers are always positive, so the domain of x will be [0,∞). The common domain for both the equations is [0,∞). Let us choose a value from this common domain,let's say 2. Then for

y(x)=\(x^{2}\)⇒y(2)=4 ...(i)

\(y^{2} =x\)=2 then y=±\(\sqrt{2}\)...(ii)

A function always has an output variable and one or more input variables.For first equation, y is the output variable and x is the input variable. A relation states that two expressions are equal and one is not dependant on another. For equation (i) y is dependant on x but in equation (ii) both the variables are independant.

Thus we can conclude that y(x)=\(x^{2}\) is a function and \(y^{2}\)=x is a realtion.

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Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.

Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.

The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.

Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.

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Answer: \(y^2-100.\)

Step-by-step explanation:

if we have a square with sides 'y' units,

then, its breadth = length = y

If we add 10 to one side it will become (y+10)  (longer one) and subtract 10 from another, then it will become (y-10) (shorter one).

Area of rectangle = breadth x length

So, area of rectangle \(= (y+10)(y-10)\)

\(= y^2-10^2=y^2-100\ \ \ \ \ [(a-b)(a+b)=a^2-b^2]\)

Hence, the new area as a polynomial = \(y^2-100.\)

The value is 10.81

From the question, we have

\(\sqrt{3^{4} +6^{2} } \\=\sqrt{81+36 }\\=\sqrt{117 }\\ = 10.81\)

The value is 10.81

Addition:

When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.

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Answer:

C and D

Step-by-step explanation:

\( \frac{k}{2} = \frac{1}{2} k = k \div 2\)

Answer:

c and d

Step-by-step explanation:

yes thats the answer

The value of x in the triangle is 117.2 units

The missing image is attached with the answer.

An equation is formed when two expression is equated by an equal sign to a constant , variable or an expression.

Cosine rule of Triangles is used and is given by

c² = a² + b² - 2ab cos C

Where a, b, c are the sides and C is the angle opposite side c.

from the given data in the figure

c = 63

a = 61 and

angle B is 142 degree

x² = 63² + 61² - 2(63)(61) * cos(142)

On solving

x = 117.2

The value of x in the triangle is 117.2 units

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Answer:

The equation would be 10+55h

Step-by-step explanation:

You have to add 10 to the equation because that is the transportation fee

Then it is 55 dollars per hour and let h represent the number of hours

The full equation would be 10+55h

The value of a of the given cube root expression is: a = 1

The cube root of a number is defined as that number which when  multiplied 3 times gives us the original number. Whenever a number (x) is multiplied three times, then we can say that the resultant number is known as the cube of that number.

We are given the expression as:

∛(81x¹⁵y⁹)

Now, expressing this individually gives us the expression:

\(81^{\frac{1}{3} } * x^{\frac{15}{3}} * y^{\frac{9}{3}}\)

= 3¹x⁵y³

Thus, a = 1

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The required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The statement is three times the smaller of three consecutive even integers is four less than twice the larger

According to given question we have

Let the even integers be x and x + 2 .

Here, x is the smaller integer

(x + 2) the bigger integer.

By the equation is

3x =2(x + 2)-4

compare the like terms we get

x=4-4

x=0

The smaller integer=0

The bigger integer= 0+2=2

Therefore, the required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.

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Answer:

length is 19 width is 15

Step-by-step explanation:

The area of the classroom floor in the scale drawing is 247 square inches.

The area of Rectangle is length times of width.

We need to find the scale of the drawing, which is the ratio of the length in the drawing to the actual length:

19 inches / 38 feet = 0.5 inches/foot

Now we can use the scale to find the dimensions of the classroom floor in the scale drawing:

Length in scale drawing = Actual length ×  Scale

Width in scale drawing = Actual width ×  Scale

Length in scale drawing = 38 feet ×  0.5 inches/foot = 19 inches

Width in scale drawing = 26 feet ×  0.5 inches/foot = 13 inches

So the dimensions of the classroom floor in the scale drawing are 19 inches by 13 inches.

To find the area in square inches, we can multiply the length by the width:

Area in scale drawing = Length in scale drawing × Width in scale drawing

= 19 inches× 13 inches

= 247 square inches

Therefore, the area of the classroom floor in the scale drawing is 247 square inches.

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True, people most often react favorably to four kinds of evidence which includes numerical data, examples, expert testimony.

Peοple οften react favοrably tο fοur kinds οf evidence, which include numerical data, examples, expert testimοny, and narratives. These types οf evidence prοvide different fοrms οf suppοrt and can be persuasive in different ways. Numerical data appeals tο the lοgical and analytical side οf individuals, while examples and narratives make the evidence mοre relatable and memοrable. Expert testimοny adds credibility and authοrity tο the argument. By presenting a cοmbinatiοn οf these types οf evidence, οne can increase the persuasive impact οf their message.

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To find the relative frequency of something, take the frequency and divide by the total number of data values.

Total number of data values = 1170

Row one: relative frequency = 5 / 1170 = 0.0043

Row two: relative frequency = 17 / 1170 = 0.0145

Row three: relative frequency = 52 / 1170 = 0.0444

Row four: relative frequency = 118 / 1170 = 0.1009

Row five: relative frequency = 172 / 1170 = 0.1470

Row six: relative frequency = 232 / 1170 = 0.1983

Row seven: relative frequency = 219 / 1170 = 0.1872

Row eight: relative frequency = 172 / 1170 = 0.1470

Row nine: relative frequency = 95 / 1170 = 0.0812

Row ten: relative frequency = 57 / 1170 = 0.0487

Row eleven: relative frequency = 23 / 1170 = 0.0197

Row twelve: relative frequency = 8 / 1170 = 0.0068

The calculated volume of the model space is 1657.92 cubic inches

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

The model space made from:

The volume of the model space is calculated as

Volume = Cone + Cylinder + Hemisphere

Using the volume formulas, we have

Volume = 1/3πr²h + πr²h + 2/3πr³

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

Volume = 1/3 * 3.14 * 6² * 8 + 3.14 * 6² * 8 + 2/3 * 3.14 * 6³

Evaluate

Volume = 1657.92

Hence, the volume of the model space is 1657.92 cubic inches

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The cost of feed for a cow in a month is $15.08

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)

Similarly the ratio of the cost of cow's food to pig is 2:1

represent the cost of feed of a cow by x and the cost of feed for a pig to be y

therefore x= 2y

there are 46 cows, therefore the cost of feed for 46 cows is 46x

there are 22 pigs, therefore the cost of pig is 22y

46x+22y= 860

representing 2y for x

46(2y)+22y= 860

114y= 860

y= 860/114

y=$ 7.54

recall x=2y

x= 7.54×2= $15.08

therefore $15.08 is spent on a cow in a month

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Given the division of polynomials

Separate the numerators.

which equals x - 3.

So, the division of the given polynomial gives x - 3.

The square has sides of 12 in and the area of a square is side × side. The area of the shaded region exists 144 sq. in.

The area of a square can be estimated by squaring the number describing the measure of the side of the square.

The area of a shape exists as the number of unit squares needed to completely cover it. Therefore, it exists calculated and expressed in square units.

The area of a square exists equivalent to (side) × (side) square units. The area of a square when the diagonal, d, exists given exists d²÷2 square units.

The square has sides of 12 in and the area of a square is side × side. Therefore, the area exists 12² which is 144 sq. in.

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Answer:

I thnk the answer is in the next question go do that then

Step-by-step explanation:

then come back and figure it out

The first mistake McKenna made when change the expression to standard form is in step 2.

PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.

For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.

In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.

You question is incomplete, but most probably your full question was

McKenna was asked to write the following expression in standard form.

3−5(3a+6)

When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)

3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4

McKenna made her first mistake in

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Answer:

r - 5 + 9/(r+5).

Step-by-step explanation:

To use long division to find the quotient of (r^2+4r-6) ÷ (r+5), we can follow these steps:

```

r

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

r+5 | r^2 + 4r - 6

- r^2 - 5r

9r - 6

-------

9

```

Therefore, the quotient is r - 5 + 9/(r+5).

The most likely marble to be chosen will be red.

Given  that,

Number of red marbles = 1/2

Number of blue marbles = 1/4

Number of green marbles = 1/6

Number of yellow marbles = 1/12

To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12.

Therefore,

Probability of choosing a red marble = 6/12

Probability of choosing a blue marble = 3/12

Probability of choosing a green marble = 2/12

Probability of choosing a yellow marble = 1/12

Since the highest probability is for red marble, it is most likely to be chosen.

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Answer:

a is the answer

Step-by-step explanation:

y = ( x^2 +2x+ 5 )^6,

let u be equal to x^2 + 2x + 5

y = u^6 '

dy|du = 6u^5, du|dx = 2x + 2

dy|dx = dy|du × du|dx = 6u^5 ×( 2x + 2 )

= 2( x + 1) × 6u^5 = 12 ( x + 1 )( x^2 + 2x +5)^5

Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance

The parameters that will help us to determine the graph are

Decorations for the dance cost $80,

The club is charging $10 per student that attends

This forms a linear equation:

y = mx + b

y = 10x - 80

Plotting the graph:

That is the full solution of the equation

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Answer: x = 9.42 in

Step-by-step explanation:

Area = (4x+9) x

440 = 4x²+9x

4x²+9x-440=0

x = 9+√9²-4x4x(-440)/2x4

x = 9.42 in

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