Which is a way to describe the fraction of 2/3

The limit of a function is a value of the function as the input of the function gets closer to some number.

We know that, a limit is a value toward which an expression converges as variable approaches certain values.

The limit of a function at m point is nothing but the value that the function approaches as its argument(variable) approaches m.

When a function is said to have a limit L at point p if it is possible to make the function arbitrarily close to L by choosing values to point p.

It is a value of the function as the input of the function gets closer to some number.

Therefore, the limit of a function is nothing but a value of the function as the input of the function gets closer to some number.

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If [tex]$\tan \theta=\frac{a}{b}$[/tex], then [tex]$\frac{a \sin \theta+b \cos \theta}{a \sin \theta-b \cos \theta}$[/tex] is equal to the [tex]\frac{a^2+b^2}{a^2-b^2}[/tex].

What is Hypotenuse?

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, may be used to determine the length of the hypotenuse.

Given: [tex]$\tan \theta=\frac{a}{b}$[/tex]

We have to find the value of following expression in terms of a and b

We know that: [tex]$\tan \theta=\frac{\text { Perpendicular }}{\text { Base }}$[/tex]

[tex]$\Rightarrow$[/tex] Base [tex]$=b$[/tex]

[tex]$\Rightarrow$[/tex] Perpendicular[tex]$=a$[/tex]

[tex]$\Rightarrow$[/tex] Hypotenuse [tex]$=\sqrt{(\text { Perpendicular })^{2}+(\text { Base })^{2}}$[/tex]

[tex]$\Rightarrow$[/tex] Hypotenuse[tex]$=\sqrt{a^{2}+b^{2}}$[/tex]

Now we find,

[tex]$\frac{a \sin \theta+b \cos \theta}{a \sin \theta-b \cos \theta}=\frac{a\left(\frac{a}{a^{2}+b^{2}}\right)+b\left(\frac{b}{a^{2}+b^{2}}\right)}{a\left(\frac{a}{a^{2}+b^{2}}\right)-b\left(\frac{b}{a^{2}+b^{2}}\right)}$[/tex]

[tex]$=\frac{\frac{a^{2}+b^{2}}{a^{2}+b^{2}}}{\frac{a^{2}-b^{2}}{a^{2}+b^{2}}}$[/tex]

[tex]$=\frac{a^{2}+b^{2}}{a^{2}-b^{2}}$[/tex]

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Step-by-step explanation:

i can't read acruse please some one help me I am trying to answer it

Answer:

350 miles

Step-by-step explanation:

62 : 100 = 217 : x

x = 217 · 100 / 62

x = 21 700 / 62

x = 350

The expanded form of the given exponential expression -z³ is -(z×z×z).

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is -z³.

Here, -z raised to 3, so multiply -z times itsef

-z³=(-z)×(-z)×(-z)

= -(z×z×z)

Therefore, the expanded form of the given exponential expression -z³ is -(z×z×z).

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Answer: 0

Step-by-step explanation:

Simplifying

6x2[(3x + -4) + (4x + 2)] = 0

Reorder the terms:

6x2[(-4 + 3x) + (4x + 2)] = 0

Remove parenthesis around (-4 + 3x)

6x2[-4 + 3x + (4x + 2)] = 0

Reorder the terms:

6x2[-4 + 3x + (2 + 4x)] = 0

Remove parenthesis around (2 + 4x)

6x2[-4 + 3x + 2 + 4x] = 0

Reorder the terms:

6x2[-4 + 2 + 3x + 4x] = 0

Combine like terms: -4 + 2 = -2

6x2[-2 + 3x + 4x] = 0

Combine like terms: 3x + 4x = 7x

6x2[-2 + 7x] = 0

[-2 * 6x2 + 7x * 6x2] = 0

[-12x2 + 42x3] = 0

Solving

-12x2 + 42x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.

6x2(-2 + 7x) = 0

Ignore the factor 6.

The answers to all the subparts using equations are shown:

(A) pair of linear equations: y + 40 = x and x + y = 110

(B) 75 minutes every day of swimming.

(C) The given statement is false as a result.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, (A):
Y indicates the volume of swimming

X denotes the quantity of tennis.

Making two equations now:

y + 40 = x

x + y = 110

(B)

X in the other equation is changed to match the first equation.

Please plug this in:

y + 40 + y = 110

2y = 70

35 minutes of swimming equals Y.

Including: 35

35 + 40 = 75 minutes every day of swimming.

(C)

No, given that equation: 70 + (70 - 40) = 100

This statement is false as a result.

Therefore, the answers to all the subparts using equations are shown:

(A) pair of linear equations: y + 40 = x and x + y = 110

(B) 75 minutes every day of swimming.

(C) The given statement is false as a result.

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The required expected profit on this listing with 49% probability in 6 months.

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

We have,

Then, there is 49% chances in 6 months = 49% of $16,870

⇒ $8266.3

And 51% of expenditure = 51%of $5,747

⇒ $29.3

So, required profit = $8266.3 - $29.3 = $8237

Thus, required profit is $8237.

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The decreased amount of oranges will be equal to $1.4.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the price of oranges at the farmers' market was 1.75 pounds the price was decreased by 20%.

The decreased price of the oranges will be calculated as,

Decreased price = 1.75 x (1 - 0.2)

Decreased price = 1.75 x 0.8

Decreased price = $1.4

The reduced number of oranges will equal $1.4.

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The percentage of the reservations were for Friday or Saturday is 67%

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

The graph

On the graph, we have the following data values for reservation

The total number of reservations in the bar chart is then calculated as

Total number of reservations = 5 + 3 + 4 + 7 + 26 + 30 + 9

Evaluate the sum

So, we have the following representation

Total number of reservations = 84

The total number of reservations for Friday or Saturday is then calculated as

Total number for Friday or Saturday = 26 + 30

Evaluate the sum

So, we have the following representation

Total number for Friday or Saturday = 56

The percentage of the reservations were for Friday or Saturday is then calculated as

Percentage = Total number for Friday or Saturday/Total number of reservations

This gives

Percentage = 56/84

Evaluate

Percentage = 67%

Hence, the percentage is 67%

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Answer:-3/4x=-3x/4

4/3x -3/7 = 4x/3 - 3x

Step-by-step explanation:

Answer: 1/2, or half of something, is 0.5.

Step-by-step explanation: 1/2 means half, as you are halfway to 2 and to a whole number. This means the value of 1/2 is 0.5.

Answer:

5 if your doing subtraction or Percent Change from 28 to 23 ≈ -17.86%

Step-by-step explanation:

Here's a explanation for % of change.

1) Find the difference between 28 and 23 as a number.

2) Divide the result from Step 1 by the starting number 28.

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

I hope this helped.

Answer:

To find the area of a parallelogram, we can use the formula A = bh, where A is the area, b is the base, and h is the height. In this case, we are given that the area is 60 square units, so we can use this information to find the value of b and h for each of the options given.

Option A: 12 15 10

In this option, we can see that the base is 12 units and the height is 15 units, so we can plug these values into the formula to find the area: A = 12 * 15 = 180 square units. This is much larger than the given area of 60 square units, so option A cannot be correct.

Option B: 10 10.2 6

In this option, we can see that the base is 10 units and the height is 6 units, so we can plug these values into the formula to find the area: A = 10 * 6 = 60 square units. This matches the given area of 60 square units, so option B could be correct.

Option C: 15 15 12

In this option, we can see that the base is 15 units and the height is 12 units, so we can plug these values into the formula to find the area: A = 15 * 12 = 180 square units. This is much larger than the given area of 60 square units, so option C cannot be correct.

Option D: 6 6 10

In this option, we can see that the base is 6 units and the height is 10 units, so we can plug these values into the formula to find the area: A = 6 * 10 = 60 square units. This matches the given area of 60 square units, so option D could be correct.

Therefore, the correct answer is either option B or option D.

Within the third step of the control process, management by exception is a principle that states that managers should be informed of a situation only if data show a significant deviation from standards.

The third step of the process of controlling is to compare the actual performance of the organization with the established standards. By comparing the actual performance with the standards, an organization can determine the deviation between them.

The final step of the control process is the correction of deviations to improve the performance so that in the future it matches with the plan. Establishing standards and methods for measuring performance. Measuring performance. Determine if performance is up to par. take corrective action. The marginal rate of return reduction is set to reduce the factor's marginal rate of return.

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Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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Answer:

B

Step-by-step explanation:

by plugging in f, you can see that B, is the only correct answer

A fails at values greater than or equal to  f = 2

C fails for all values

and D fails for all values

B works for all given values

2(1) + 3 = 5

2(2) + 3 = 7

2(3) + 3 = 3

2(4) + 3 = 11

2(5) + 3 = 13

Answer: i believe it is 123/5 + 1984x/5

Step-by-step explanation:

Answer:

a.  It increases by 4

b. It stays the same.

Mean is the average of a set of values. It is calculated by adding up all the values in the set and dividing by the number of values in the set.

Median is the middle value of a set of values. It is calculated by arranging all the values from smallest to largest and then finding the middle value in the set. Mean and median are used to measure the center of a set of values. Mean and median are often used to identify trends and patterns in data sets, as they are useful in describing the “average” or “typical” value of a set of data. They are also used in hypothesis testing and various statistical tests.

Formula for mean:

Mean = (Sum of all values) / (Number of values)

Formula for median:

Median = (Middle value of sorted set)

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The limiting matrix is [tex]\bar{P}[/tex]=[tex]\left[\begin{array}{ccc}0.75&0.25\\0.75&0.25\\\end{array}\right][/tex].

Mathematicians frequently refer to "transition matrices" in a variety of situations. The term "change of coordinates matrix" is occasionally used in the context of linear algebra. As an alternative term for a stochastic matrix, or a matrix that describes transitions, it is employed in the theory of Markov chains. Use row operations to try to create the identity matrix to the left while augmenting the matrix of the second basis with the matrix of the first basis. Afterward, the transition matrix will be on the right. Row 1 should be multiplied by 1 as follows: R1=R1 R 1=-R 1 R1=R1.

The given transition matrix is:

P=[tex]\left[\begin{array}{ccc}0.9&0.1\\0.3&0.7\\\end{array}\right][/tex]

Let S=[tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0.9&0.1\\0.3&0.7\\\end{array}\right][/tex][tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex] =[tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0.9a+0.1b\\0.3a+0.7b\\\end{array}\right][/tex]=[tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex]

Here, 0.9a+0.1b=0, 0.3a-0.3b=0

So, a=b

a+b=1

a=b=1/2

S=[tex]\left[\begin{array}{ccc}0.5\\0.5\\\end{array}\right][/tex]

This S is called the stationary matrix

P=[tex]\left[\begin{array}{ccc}0.9&0.1\\0.3&0.7\\\end{array}\right][/tex]

P=det[tex]\left[\begin{array}{ccc}0.9-\lambda&0.1\\0.3&0.7-\lambda\\\end{array}\right][/tex]=0

λ²-1.6λ+0.6=(λ-1)(λ-0.6)=0

λ₁=1, λ₂=0.6

x=[tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex]

Px=λx

[tex]\left[\begin{array}{ccc}0.9&0.1\\0.3&0.7\\\end{array}\right][/tex][tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex] =1[tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex]

0.9a+0.1b=a

a=b

v₁=[tex]\left[\begin{array}{ccc}1\\1\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0.9&0.1\\0.3&0.7\\\end{array}\right][/tex][tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex] =0.6[tex]\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex]

0.9a+0.1b=0.6a

b=-3a

v₂=[tex]\left[\begin{array}{ccc}1\\-3\\\end{array}\right][/tex]

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

V⁻¹=(1/4)[tex]\left[\begin{array}{ccc}3&1\\1&-1\\\end{array}\right][/tex]

D=[tex]\left[\begin{array}{ccc}\lambda_{1} &0\\0&\lambda_{2}\\\end{array}\right][/tex]

D=[tex]\left[\begin{array}{ccc}1&0\\0&0.6\\\end{array}\right][/tex]

P=VDV⁻¹

Pⁿ=VDⁿV⁻¹

[tex]\bar{P}[/tex]=[tex]\left[\begin{array}{ccc}0.75&0.25\\0.75&0.25\\\end{array}\right][/tex]

This is the required limit matrix.

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After solving for the angles, the resultant answers are as follows:
(A) ∠L = 55°

(B) ∠LMN = 62°

When two consecutive lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the point where two points come together.

The Latin word "angulus," which means "corner," is from which the term "angle" originates.

The intersection of two planes also creates angles.

We refer to these as geometric angles.

So, according to the given diagram:

KMN = LMN + 118

180 = LMN + 118

LMN = 180 - 118

LMN = 62°

Now,

6x - 9 + 4x + 7 + 62 = 180

10x + 60 = 180

10x = 180 - 60

10x = 120

x = 120/10

x = 12

Then,

∠L = 4x + 7

∠L = 4*12 + 7

∠L = 55°

Therefore, after solving for the angles, the resultant answers are as follows:
(A) ∠L = 55°

(B) ∠LMN = 62°

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Answer:

The correct expression to solve for z is z = 8 tan 22°. This expression uses the tangent function and the angle measure in degrees to find the value of z. The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle, and the angle measure must be in degrees in order to use the tangent function. The other answer choices do not use the tangent function or the angle measure in degrees, so they are not correct.

Step-by-step explanation:

Step-by-step explanation:

The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:

(y - k)^2 = 4 * f * (x - h)

In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:

y^2 = 4 * f * x

  = 4 * (-1.3) * x

  = -5.2x

The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.

Answer: Your answer will be 12.57.

Step-by-step explanation:

Using the formulas

C=2 x π x r

d=2 x r

Solving for C.

C = πd = π·4 ≈ 12.56637

Answer:

2 ways below

Step-by-step explanation:

To complete the triangle, you would need to bend the other end of the strip of metal so that it is also 10 inches from the first bend. One way to do this would be to measure 10 inches from the first bend and mark the spot, then use a bending tool to carefully bend the metal at the mark.

Another way would be to hold the metal strip against a ruler or measuring tape, aligning the first bend with the 10-inch mark, then use the bending tool to make the second bend at the 20-inch mark. In either case, the resulting triangle would have two equal sides that are 10 inches long, and a base that is 8 inches long.

The interquartile range of the given data set is  2.16.

When a group of values is sorted from smallest to greatest, the median is the number in the middle of the range.

The given set of data,

2.35, 1.56, 1.77, 2.45, 6.92, 4.38, 2.77, 5.23, 2.22, 3.26

To find the interquartile, range of the given data set,

First find median of the set,

Arrange the given date in lowest to highest order,

1.56, 1.77, 2.22, 2.35, 2.45, 2.77, 3.26, 4.38, 5.23, 6.92.

There are 10 terms in the set,

The median will be middle term,

median = (2.45 + 2.77) / 2 = 2.61

The lower half of the set = 1.56, 1.77, 2.22, 2.35, 2.45.

The upper half of the set = 2.77, 3.26, 4.38, 5.23, 6.92.

Here, Q₁ = Middle term of the lower half = 2.22

And Q₂ = Middle term of the upper half = 4.38

The interquartile range = Q₂ - Q₁ = 4.38 - 2.22 = 2.16

The interquartile range of the data set is 2.16

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The window on the train will be 48 times wider than a window on the model .

In the question ,

it is given that ,

the length of the model train is = 18 inches   and

the length of the exact train is = 72 feet ,

on comparison , we need to convert it into inches .

we know that 1 feet is = 12 inches ,

So , 72 feet is = 72×12 inches = 864 inches

So , the length of the original train is = 864/18 = 48 times the model train .

the ratio will remain same for the width of the window .

So , the window on the train is 48 times wider than a window on the model .

Therefore , the window of the train is 48 times wider.

The given question is incomplete , the complete question is

Your model train is 18 inches long. It is an exact model of a train that is 72 feet long. A window on the train is how many time wider than a window on the model ?

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Answer:

Step-by-step explanation:

the sum of the dice is at least 5

one die is showing a 2

2 and 3

2 and 4

2 and 5

2 and 6

4 out of 36 ways to get the sum at least 5 and one die is always 2

Probability = 4/36 = 1/9

If it is known that one die is showing a 2, then the probability that the sum of the dice is at least 5, is the probability that the other die shows 3 or 4 or 5 or 6, i. e. 4/6=2/3=0.666.

Answer:

Vertex = (5,0)

Axis of symmetry = x = 5

Explanation:

Y = 3(x-5)^2

Equal 3(x-5) to 0

y = 3 = 0

x-5 = 0

x = 5

Vertex = (5,0)

Formula for Axis of symmetry: x = -b/2a

Write 3(x-5)^2 in standard form

Y = 3x^2 - 30x + 75

x = -b/2a

x = -(-30)/2(3)

x = 30/6

x = 5