what is the best definition of proportional realiships
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Answer: 49.5

Step-by-step explanation:

All triangles equal 180 degrees

We know two of these degrees

73+57.5=130.5

180-130.5=49.5 degrees

Answer:

5.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.3

The given series Σ(5n^3) is found to be convergent using comparison test.

The Comparison Test states that if 0 ≤ a_n ≤ b_n for all n and the series Σ(b_n) converges, then the series Σ(a_n) also converges. Conversely, if 0 ≤ a_n ≤ b_n for all n and the series Σ(b_n) diverges, then the series Σ(a_n) also diverges.

In this case, we have Σ(5n^3) as our series. We can compare it to the series Σ(n^3) to determine convergence or divergence.

Since n^3 ≤ 5n^3 for all positive integers n, we have 0 ≤ n^3 ≤ 5n^3. Therefore, we can conclude that Σ(n^3) is an upper bound for Σ(5n^3).

Now, let's consider the series Σ(n^3). The series Σ(n^3) is a known series that converges. It can be shown using various convergence tests such as the p-series test.

Since 0 ≤ n^3 ≤ 5n^3 for all positive integers n and Σ(n^3) converges, we can apply the Comparison Test. According to the Comparison Test, if a series is bounded above by a convergent series, then the series is also convergent.

Therefore, the series Σ(5n^3) converges because it is bounded above by the convergent series Σ(n^3).

In conclusion, the series Σ(5n^3) is convergent.

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Step-by-step explanation:

Answer:

y = \(-\frac{8}{3} x +5\frac{16}{3}\)

Step-by-step explanation:

You use rise over run:

(-3 - 5)/(5 - 2) = 8/3

then plug in one of the coordinates to fine the y-intercept

The correct answer is C. In an experiment, a treatment is applied to part of a population, and responses are observed.

In an observational study, a researcher measures characteristics of interest of a part of a population but does not change existing conditions.

In an experiment, researchers actively intervene by applying a treatment or manipulation to a specific group within a population. They control and manipulate variables to observe the effect of the treatment on the participants. The responses or outcomes are then measured and compared to those of a control group to assess the impact of the treatment.

On the other hand, in an observational study, researchers do not intervene or apply any treatment. They observe and measure characteristics or behaviors of individuals or groups within a population. The purpose is to understand the relationships or associations between variables without manipulating them. The researchers observe and collect data based on naturally occurring conditions and behaviors.

In summary, experiments involve actively applying a treatment and measuring the responses, while observational studies focus on observing and measuring characteristics without intervening or changing existing conditions.

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Answer:

Therefore 700 g of flour would require 24. g salt, 14 g yeast, 49 ml oil and 735 ml water

Step-by-step explanation:

The question is not complete.

Let us assume that the following recipe makes 12 bread rolls: 400 g flour, 14 g salt, 8 g yeast, 28 ml oil, and 420 ml water.

If 700 g of flour is then used, we need to calculate the amount of the other ingredients to be used when baking bread.

400 g of flour uses 14 g of salt. Therefore 700 g of flour would require:

\(\frac{700g*14g}{400g}=24.5\ g\ of \ salt\)

400 g of flour uses 8 g of yeast. Therefore 700 g of flour would require:

\(\frac{700g*8g}{400g}=14\ g\ of \ yeast\)

400 g of flour uses 28 ml of oil. Therefore 700 g of flour would require:

\(\frac{700g*28ml}{400g}=49\ ml\ of \ oil\)

400 g of flour uses 420 ml of water. Therefore 700 g of flour would require:

\(\frac{700g*420ml}{400g}=735\ ml\ of \ water\)

Therefore 700 g of flour would require 24. g salt, 14 g yeast, 49 ml oil and 735 ml water

Answer:

Step-by-step explanation:

To find the equation of a line in slope-intercept form (y = mx + b), we first need to find the slope (m) and the y-intercept (b).

So, the slope of the line is -1.5.

Answer:

750$

Step-by-step explanation:

\(Amount= 300*\frac{1050}{420} =750\)

It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.

Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.

Area₁: The area of the first room, which is 420 square feet.

Cost₂: The cost to tile the second room with an unknown area, which we want to find.

Area₂: The area of the second room, which is 1,050 square feet.

We can set up the proportion:

Cost₁ / Area₁ = Cost₂ / Area₂

Substituting the known values:

$300 / 420 sq ft = Cost₂ / 1,050 sq ft

Now we can solve for Cost₂:

Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft

Calculating:

Cost₂ = $0.7143 * 1,050 sq ft

Cost₂ ≈ $750.01

Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

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Using the midpoint formula,

M(x3, y3) = [(x1+ x2)]/2, [(y1 + y2)]/2

M(x,y)=[(6+5)/2],[(4-2)/2]

after solving,

M(x,y)= (5.5,1)

By using logarithm properties and arithmetic operations, the approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.

In this problem we find two approximate value of two natural logarithms and we are asked to find the value of a logarithm of base 10 in terms of the two natural logarithms, whose approximate values are given. This can be done by using logarithm properties, especially the base change property:

㏒₄ 100, ㏑ 4, ㏑ 100                                      Given                                              

㏑ 100 / ㏑ 4                                                   Base change property of logarithms

4.6 / 1.4                                                            Substitution of each logarithm (Step 1)

23 / 7                                                               Amplification of fraction / Definition of multiplication

3.286                                                               Definition of division / Result

The approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.

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Equation : 200 = 15x + 5y + 120

Opportunity cost is the price of giving up an option. An opportunity cost is the price you pay for selecting a particular option over another. Opportunity cost is the benefits you lose by choosing one alternative over another one.”

The value of the next-highest-valued alternative use of a resource is what economists mean when they talk about its "opportunity cost." You cannot, for instance, read a book at home during the time you would have spent seeing a movie and spend the money you would have spent on something else.

Opportunity cost is frequently referred to as the second-best option. The loss of benefit that would have been realized if a different option had been taken is sometimes referred to as the alternative cost. The loss of advantage as a result of a change in decision is another way to explain it.

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Margaret is incorrect because the given information does not include enough details to determine if the quadrilateral WXYZ is a parallelogram.

To prove that a quadrilateral is a parallelogram, the four sides must be equal in length and the opposite angles must be congruent. The given information does not include any measurements or angles, so it is not possible to determine if the quadrilateral is a parallelogram.

No, 144 inches of tape is not enough to finish the job. The hazard sign has two identical parallelogram-shaped stripes, and each stripe will require more than 144 inches of tape to outline. The area of a parallelogram can be calculated using the formula A = bh, where b is the base and h is the height. In order to determine how much tape is needed to outline the stripes, the base and height of the parallelograms must be known.

There is not enough information to prove that a quadrilateral is a parallelogram, as all four sides must be equal in length and the opposite angles must be congruent. Additionally, 144 inches of tape is not enough to outline the hazard sign's two identical parallelogram-shaped stripes, as the base and height of the parallelograms must be known in order to calculate the area.

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Answer:

407.3725

Step-by-step explanation:

Answer:

b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121

Step-by-step explanation:

\( \Sigma_{k=1}^{16} (k - 5)^2 \\

= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\

=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\

=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121\)

Answer:

3.959797975

Step-by-step explanation:

1. Find the square root of 98 which is 9.899494937

2. Divide 9.899494937 by 2.5 which is 3.959797975

(sorry if it's wrong, but I think it's correct)

It's \(x<4\) since it's opened dot and head toward negative infinity.

Answer:

I think that it is ×<4

Step-by-step explanation:

I hope this helps you

Answer:

Funciones trigonométricas de μ

sen (μ) = b/ √(a^2+ b^2)

cos (μ) = a/ √(a^2+ b^2)

tan (μ)  = b/ a

cot (μ)  = a/ b

sec (μ) =  √(a^2+ b^2) / a

csc (μ) =   √(a^2+ b^2) /b

Step-by-step explanation:

Ya que no proportionaste el valor de cot μ podemos suponer un valor = a/b para que tengas una respuesta general y reemplaces el valor de a y b de acuerdo con tu caso.

cot (μ) = a/b

_______________________________

Funciones trigonométricas

sen (μ) = cateto opuesto/ hipotenusa

cos (μ) = cateto adyacente/ hipotenusa

tan (μ)  = cateto opuesto/ cateto adyacente

cot (μ)  = cateto adyacente/ cateto opuesto

sec (μ) =  hipotenusa / cateto adyacente

csc (μ) =   hipotenusa /cateto opuesto

cot (μ)  = cateto adyacente/ cateto opuesto = cot (μ)  = a/ b

Por lo tanto:

Cateto adyacente = a

Cateto opuesto = b

Hipotenusa

H^2 = Cateto adyacente^2 + Cateto opuesto^2

H= √(a^2+ b^2)

Reemplaznado los valores de los catetos y la hipotenusa se obteienen los valores de las funciones trigonométricas de μ.

Answer: Mr. Jenkins would use 'mean'.

Step-by-step explanation:

Rather than use either median or mode, he would use mean. Mean is a statistical average of numbers. It would be best to brag about the total weight that he has lost rather than using the half-way point or the most frequent appearing number in the data.

Answer:

180

Step-by-step explanation:

A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.

6 × 6 × 5 = .180

The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.

This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.

The final answer is 6*6*5 = 180

so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is  180

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Answer:

can some one give the answer

Step-by-step explanation:

pls

To prove that if p is an odd prime and p = a^2 * b^2 for integers a, b, then p ≡ 1 (mod 4), we can use the concept of quadratic residues and the properties of modular arithmetic.

Let's start with the given assumption that p is an odd prime and can be expressed as p = a^2 * b^2, where a and b are integers. We want to prove that p ≡ 1 (mod 4), which means p leaves a remainder of 1 when divided by 4.

We can begin by considering the possible residues of perfect squares modulo 4. When a is an even integer, a^2 ≡ 0 (mod 4) since the square of an even number is divisible by 4. Similarly, when a is an odd integer, a^2 ≡ 1 (mod 4) since the square of an odd number leaves a remainder of 1 when divided by 4.

Now, let's examine the expression p = a^2 * b^2. Since p is a prime number, it cannot be factored into smaller integers, except for 1 and itself. Therefore, both a and b must be either 1 or -1 modulo p. We can express this as:

a ≡ ±1 (mod p)

b ≡ ±1 (mod p)

Now, let's consider the value of p modulo 4:

p ≡ (a^2 * b^2) ≡ (±1)^2 * (±1)^2 ≡ 1 * 1 ≡ 1 (mod 4)

We know that a^2 ≡ 1 (mod 4) for any odd integer a. Therefore, both a^2 and b^2 ≡ 1 (mod 4). When we multiply them together, we still obtain the residue of 1 modulo 4.

Hence, we have proven that if p is an odd prime and p = a^2 * b^2 for integers a, b, then p ≡ 1 (mod 4).

To provide an explanation of the proof, we used the concept of quadratic residues and modular arithmetic. In modular arithmetic, numbers can be classified into different residue classes based on their remainders when divided by a given modulus. In this case, we focused on the modulus 4.

We observed that perfect squares, when divided by 4, can only have residues of 0 or 1. Specifically, the squares of even integers leave a remainder of 0, while the squares of odd integers leave a remainder of 1 when divided by 4.

Using this knowledge, we analyzed the expression p = a^2 * b^2, where p is an odd prime and a, b are integers. Since p is a prime, it cannot be factored into smaller integers, except for 1 and itself. Therefore, a and b must be either 1 or -1 modulo p.

By considering the possible residues of a^2 and b^2 modulo 4, we found that both a^2 and b^2 ≡ 1 (mod 4). When we multiply them together, the resulting product, p = a^2 * b^2, also leaves a remainder of 1 modulo 4.

Thus, we concluded that if p is an odd prime and p = a^2 * b^2 for integers a, b, then p ≡ 1 (mod 4).

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Answer:

(-2x)-5x-9 = (-7x)-9

3x - 13 = 3x - 13 (you cannot simplify more)

Your question was wery wierd but i tried to answer best I could.

And also I dont know what you mean about "-+5"

Answer:

(-7x-9)+(3x-13)= -4x-22

Simplify the first one -2x-(5x)-9= -7x-9

Put the thing together that fit (Add the terms together)

Answer:

3 3/4

Step-by-step explanation:

convert to decimal

2.50/0.666

=3.75

the vallue of k is 25,  positive integers 6^6 and 8^8.

What is LCM?

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers. Consider the integers 2 and 5. There will be different multiples for each. Least Common Multiple is the meaning of the abbreviation LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.

Only the primes 2 or/and 3 are present in LCM, hence k cannot have any other primes.

In light of the fact that the power of 3 in LCM is greater than the powers of either the first or second number, k must have 312 as its multiple (otherwise, how would 312 appear in LCM?).

Because at least one of the numbers must have the words (224) and (312) as its factors in order for (224) * (312) to be a common multiple, b must now equal 12. (maybe other numbers).

As can be seen, the 224 component is already taken care of by 88.

As a result, k must handle the LCM's 312 component.

Since a can take on any value between 0 and 24 (inclusive) without modifying the LCM's value, the value of k is therefore (2a) * (312).

Hence the vallue of k is 25.

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Answer:

\(x = 6\)

Step-by-step explanation:

Given:

\(81^x = 27^{x +2}\)

Solving for \(x\):

\(81^x = 27^{x +2} \\ 81^x = (81^{\frac{3}{4}})^{x +2} \\ 81^x = 81^{\frac{3}{4}(x +2)} \\ x = \frac{3}{4}(x +2) \\ x = \frac{3}{4}x +\frac{3}{4}(2) \\ x = \frac{3}{4}x +\frac{3}{2} \\ x -\frac{3}{4}x = \frac{3}{2} \\ \frac{4}{4}x -\frac{3}{4}x = \frac{3}{2} \\ \frac{1}{4}x = \frac{3}{2} \\ x = \frac{3}{2} \cdot 4 \\ x = \frac{12}{2} \\ x = 6\)

Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

1/20, 2/3, and 20/25 do not have a whole number that could fit in them when 5/4 does (1 1/4) so when all the other fractions can't have a whole number fit in, 5/4 or 1 1/4 does.

The fraction 5/4 does not belong to.

A fraction is a quantity which is not whole number. In the mathematical expression, a fraction usually has a numerator and a denominator.

The numerator is the number top of the fraction. While the denominator is the number below of the fraction.

for example, a fraction is = 3/8

where 3 is the numerator while 8 is the denominator

A proper fraction is a fraction in which the numerator is smaller than the denominator in value .

For an example is 3/7

An improper fraction is a fraction in which the numerator is greater than the denominator in value.

For an example is 7/3

Here given in the options, 1/20, 20/25, and 2/3 are proper fractions because their numerator is smaller than the denominator in value. (as 1<20, 20<25, 2<3)

But 5/4 is an improper fraction as numerator is greater than the denominator in value.

So 5/4 does not belong to because it is an improper fraction while others are the proper fraction.

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