The perimeter of a rectangle is 84. If the length is 2 more than three times the width, what are the dimensions of the rectangle? Show how you represent the unknown and create the equation. *

The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

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For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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m < 7 = 60º by the Alternate Interior Angle Theorem.

Alternate interior angles happen when there are two parallel lines cut by a transversal lines.

The two alternate exterior angles are positioned on the inside of the two parallel lines, and on opposite sides of the transversal line.

Two alternate interior angles for this problem are given as follows:

m < 7 and m < 12.

Two alternate interior angles are congruent, meaning that they have the same measure, hence the measure of angle 7 is given as follows:

m < 7 = m < 12 = 60º.

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The surface integral of the function g(x, y, z) over the surface S is evaluated.

To evaluate the surface integral, we consider the rectangular prism formed by the coordinate planes and the planes x = 2, y = 2, z = 3. This prism encloses a six-sided surface S. The surface integral of a function over a surface measures the flux or flow of the function across the surface.

In this case, we are integrating the function g(x, y, z) over the surface S. The specific form of the function g(x, y, z) is not provided in the given question. To evaluate the surface integral, we need to know the expression of g(x, y, z).

Once we have the expression for g(x, y, z), we can set up the integral by parameterizing the surface S and calculating the dot product of the function g(x, y, z) and the surface normal vector. The integral will involve integrating over the appropriate range of the parameters that define the surface.

Without the specific expression for g(x, y, z) or further details, it is not possible to provide the exact numerical evaluation of the surface integral. However, the general procedure for evaluating a surface integral involves parameterizing the surface, setting up the integral, and then performing the necessary calculations.

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Answer:

2

Step-by-step explanation:

3 (x + 2) = 12

x + 2 = 12/3

        = 4

x = 4 - 3

 = 2

Therefore x is 2 so option 3 :)

Answer:

x=2

(some extra stuff because i cant send this with out 20 more letters)

If the knowledge that an event "a" has occurred implies that another event "b" cannot occur, then the events "a" and "b" are said to be disjoint events.

As per the question statement, the knowledge that an event "a" has occurred implies that another event "b" cannot occur.

We are required to determine the characteristic name for the above mentioned events.

And here, if event "a" occurs, even "b" does not, implying the fact that, events "a" and "b" cannot occur simultaneously. Hence, as per the above definition of disjoint events,  the events "a" and "b" are be disjoint.

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The length of side b is approximately 8.032 units

What is Trigonometry?

Trigonometry is a branch of mathematics that deals with the study of the relationships between the angles and sides of triangles. It involves the use of trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent to solve problems related to triangles, including finding the length of sides, the measurement of angles, and the calculation of areas and volumes.

The proportion that could be used to find the length of side b is:

sin 64° / b = sin 85° / 9.3

This is because we are given the angle opposite to side b (angle B) and the length of the side opposite to angle A (9.3). Using the sine ratio, we can set up the proportion to find the length of side b, which is opposite to angle C.

We can rearrange the proportion to solve for b:

b = (sin 64° x 9.3) / sin 85°

b ≈ 8.032

Therefore, the length of side b is approximately 8.032 units

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There are 210 sequences for 7 church bells to rung with the given conditions. Using permutations, the required number of sequences is calculated.

A sequence or arrangement that can be framed by taking some or all of a finite set of things (or objects) is called a permutation.

The formula for finding the number of such arrangements is,

ⁿPₓ = n!/(n - x)!

It is given that, a church's bell tower has 7 bells. 3 of them will ring in a sequence before each service and no bell is rung more than once.

So, the number of sequences that the bells will form is calculated by using the permutations formula. I.e., ⁿPₓ = n!/(n - x)!

Here, n = 7; x = 3

Then,

ⁿPₓ = n!/(n - x)! ⇒ ⁷P₃ = 7!/(7 - 3)! = 7!/4!

⇒ ⁷P₃ = (7 × 6 × 5 × 4!)/4! = 7 × 6 × 5 = 210

Therefore, there are 210 sequences for ringing the bells.

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Answer:

1) mEF is 38°

2) mDE is 52°

3) c. 6.28

4) b. 20.94

Step-by-step explanation:

1) mEF is corresponding to mHG

2) mDE + mEF = 90, so 90-38=52

3) L=r·∅    so L=3·120 (in radians)

4) Couldn't see Q, but based on the right angle we can assume the inside angle for mQPT is 119°

c^2-2cd+d^2 = (c-d)^2

We can verify this with the following steps

(c-d)^2 = (c-d)(c-d)

(c-d)^2 = c(c-d) - d(c-d)

(c-d)^2 = c^2-cd-cd+d^2

(c-d)^2 = c^2-2cd+d^2

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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The length of the segment with variable x is 11.

From the trapezium,

AE ≅ EB

DF ≅ FC

Therefore,

EF = x = 1 / 2 × (AD + BC)

AD = x - 5

BC = 2x - 6

Hence,

x = 1 / 2 (x - 5 + 2x - 6)

x = 1 / 2 (x + 2x - 5 - 6)

x = 1 / 2(3x - 11)

x = 3 / 2 x - 11 / 2

x - 3 / 2 x = - 11 / 2

- 0.5x = -5.5

divide both sides by -0.5

x = -5.5 / - 0.5

x = 11

Therefore, the length of the segment with variable x is 11.

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Answer:

a= 180-60-55=65

we know that the angle of a flat(?) ground would be 180, so we can take away the 60 and 55 to find a.

b=180-90-65=25

the sum of interior angle of a triangle would be 180, now we know what a is, also the right angle is 90, now we can take away the 90 and 65 to find b.  

c=25

c is 25, because two angles on both sides of a X is the same

Answer

1.25% expressed in fractions is (1/80).

Explanation

We need to express

1 (1/4)% = 1.25%

1.25% = (1.25/100)

Hence, 1.25% expressed in fractions is (1/80).

Hope this Helps!!!

Answer:

i think it would be

Step-by-step explanation:

Step-by-step explanation:

4×1000÷2 which equals your sum.

The difference between values is gotten by subtracting the values

The dimension of the frame that will surround the picture is 10 inches by 0 inches

The given parameters are:

The dimension of the frame is the difference between the dimension of the fancy, and the picture.

So, we have:

Length = 25 inches - 15 inches

Length = 10 inches

Width = 10 inches - 10 inches

Width = 0 inches

Hence, the dimension of the frame that will surround the picture is 10 inches by 0 inches

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We would reject the null hypothesis in favor of the alternative hypothesis.

The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:

H0: μ ≤ 2 (mean number of classes per quarter)

Ha: μ > 2

Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.

The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.

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\(\bold{\huge{\purple{\underline{ Solutions }}}}\)

\(\bold{\dfrac{ 7}{6}}{\bold{ + }}{\bold{\dfrac{ 2}{5}}}\)

\(\sf{ = \:}{\sf{\dfrac{ 35 + 12 }{30}}}\)

\(\sf{ =\: }{\sf{\red{\dfrac{ 47 }{30}}}}\)

Hence, The answer is 47/30

\(\bold{\dfrac{ 1}{7}}{\bold{ + }}{\bold{\dfrac{ 1}{8}}}\)

\(\sf{ =\: }{\sf{\dfrac{ 8 + 7 }{56}}}\)

\(\sf{ =\: }{\sf{\red{\dfrac{ 15}{56}}}}\)

Hence, The answer is 15/56

\(\bold{\dfrac{ 7}{13}}{\bold{ + }}{\bold{\dfrac{ 5}{10}}}\)

\(\sf{=\:}{\sf{\dfrac{ 70 + 65 }{130}}}\)

\(\sf{ = \:}{\sf{\dfrac{ 135}{130}}}\)

\(\sf{ =\:}{\sf{\red{\dfrac{ 27}{26}}}}\)

Hence, The answer is 27/26

\(\bold{\dfrac{ 7}{5}}{\bold{ - }}{\bold{\dfrac{ 1}{3}}}\)

\(\sf{ =\:}{\sf{\dfrac{ 21 - 5 }{15}}}\)

\(\sf{ = \:}{\sf{\red{\dfrac{ 16}{15}}}}\)

Hence, The answer is 16/15

\(\bold{\dfrac{ 8}{7}}{\bold{ - }}{\bold{\dfrac{ 9}{11}}}\)

\(\sf{=\:}{\sf{\dfrac{ 88 - 63}{77}}}\)

\(\sf{=\:}{\sf{\red{\dfrac{ 25}{77}}}}\)

Hence, The answer is 25/77

\(\bold{\dfrac{ 11}{4}}{\bold{ - }}{\bold{\dfrac{ 1}{9}}}\)

\(\sf{=\:}{\sf{\dfrac{ 99 - 4}{36}}}\)

\(\sf{ =\: }{\sf{\red{\dfrac{ 95}{36}}}}\)

Hence, The answer is 95/36

Answer:

Mt Bueno esta alejandro Si

Answer:

365.50 dollars

Step-by-step explanation:

multiply 270 by 35% then add that to 270

the profit-maximizing quantity is 12.5 units and the corresponding price is $3912.5.

From the given information, we have the inverse demand function:

p = 775 - 375Q

The marginal revenue function can be obtained by taking the derivative of the inverse demand function with respect to quantity (Q):

MR = d(p) / dQ = -375

The marginal cost is given as MC = 30.

To determine the profit-maximizing quantity, we equate marginal revenue to marginal cost:

MR = MC

-375 = 30

Solving for Q, we find:

Q = -375 / 30

Q = -12.5

However, since negative quantities do not make sense in this context, we disregard the negative value and take the positive quantity:

Q = 12.5

Substituting this value of Q back into the inverse demand function, we can find the corresponding price (p):

p = 775 - 375Q

p = 775 - 375(12.5)

p = 775 - 4687.5

p = -3912.5

Again, since negative prices do not make sense, we disregard the negative value and take the positive price:

p = 3912.5

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Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Concatenation is both commutative and associative, meaning that the order in which sequences are combined and the grouping of sequences does not affect the result of the concatenation.

Concatenation is a term used in computer science and mathematics to describe the process of combining two or more strings, lists, or other sequences into a single, longer sequence.

The question of whether concatenation is commutative or associative refers to the order in which the elements are combined and whether the result is the same regardless of the order.

Commutativity refers to the property of an operation where changing the order of the operands does not change the result. In the case of concatenation, if A and B are two sequences, then the result of concatenating them (A followed by B) is the same as the result of concatenating them in the opposite order (B followed by A). This means that concatenation is commutative.

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Answer:

the answer is 1

Step-by-step explanation:

Answer:

y=64

Step-by-step explanation:

3y /4 =48

( 3y 4 )*(4)=(48)*(4)

3y=192y

3y/3=192/3  =y=64

The given expression ((y-b)²/(y-b+1)+(y-b)/(y-b+1) after being reduced to a polynomial, can be represented as y-b.

In order to reduce the given equation to a polynomial, we are required to simplify and combine like terms. First, we can simplify the expression in the numerator by expanding the square:

((y-b)²/(y-b+1) = (y-b)(y-b)/(y-b+1) = (y-b)²/(y-b+1)

Now, we can combine the two terms in the equation by finding a common denominator:

(y-b)²/(y-b+1) + (y-b)/(y-b+1) = [(y-b)² + (y-b)]/(y-b+1)

Next, we can combine the terms in the numerator by factoring out (y-b):

[(y-b)² + (y-b)]/(y-b+1) = (y-b)(y-b+1)/(y-b+1)

Finally, we can cancel out the common factor of (y-b+1) in the numerator and denominator to get the polynomial:

(y-b)(y-b+1)/(y-b+1) = y-b

Therefore, the equation ((y-b)²)/(y-b+1)+(y-b)/(y-b+1)  after being simplified, is equivalent to the polynomial y-b.

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Using  net worth statement, Andre's net worth is $159,573.

Andre's net worth can be calculated by subtracting his total liabilities from his total assets.

Total assets = $155,000 (condominium) + $8,100 (stock portfolio) + $9,100 (car value) + $2,600 (bank account) = $174,800

Total liabilities = $3,300 (car loan) + $7,600 (student loans) + $4,327 (credit card balance) = $15,227

Net worth = Total assets - Total liabilities = $174,800 - $15,227 = $159,573

Therefore, Andre's net worth is $159,573.

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Answer:

Option C : f+23 is the correct answer.

Step-by-step explanation:

Given that:

Amount Dominic wants everyone to contribute = $2

Number of relatives who have contributed = 23

The expression is;

2(f+23)

As we know that 2 represents the amount and 23 represents the number of relatives who have donated, therefore,

f represents the number of people who would donate to the library fund, and

f+23 represents the total number of people who contributes to the fund.

Hence,

Option C : f+23 is the correct answer.