how to convert 51cm to inches?

By using Taylor series, the limit does not exist, since the third term does not converge as x approaches 0.

To evaluate the limit using series, we can use the Taylor series expansion of each term in the limit as x approaches 0. A Taylor series is an infinite sum of terms that are expressed in terms of the derivatives of a function at a single point.

Starting with the first term:

lim x→0 (1/3) * x^3 = 0

Next, for the second term, we have:

lim x→0 ((x^3 - 1)/(2x^2)) = lim x→0 (x^3/2x^2) = lim x→0 (x/2) = 0

For the third term, we have:

lim x→0 (x - ln(1 + x))/x^4

= lim x→0 [(x - (x - x^2/2 + x^3/3 - ...))/x^4] (using the Taylor series expansion of ln(1+x))

= lim x→0 [x^2/2 - x^3/3 + ...]/x^4

= lim x→0 [1/2x^2 - 1/3x^3 + ...]

= ∞

Therefore, the limit does not exist, since the third term does not converge as x approaches 0.

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Check the picture below.

The inverse function is:

f⁻¹(x)  = ∛(x + 3) + 2

And the graph can be seen in the image at the end.

We want to find the inverse of the function f(x) = (x - 2)³ - 3

If the inverse is f⁻¹(x), then we know that:

f⁻¹(f(x)) = x

f(f⁻¹(x)) = x

Using the second one we can write:

f(f⁻¹(x)) = (f⁻¹(x) - 2)³ - 3

And that must be equal to x, then:

(f⁻¹(x) - 2)³ - 3 = x

(f⁻¹(x) - 2)³ = x + 3

f⁻¹(x) - 2 = ∛(x + 3)

f⁻¹(x)  = ∛(x + 3) + 2

Now to graph it, we need to find some points, let's evaluate in x = -3, -2, and 5

f⁻¹(-3)  = ∛(-3 + 3) + 2 = 2

f⁻¹(-2)  = ∛(-2 + 3) + 2 = 3

f⁻¹(5)  = ∛(5 + 3) + 2 = 4

So we have the points (-3, 2), (-2, 3), (5, 4), and the graph will be the one at the end.

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c=25.1327

Step-by-step explanation:

c=2pir

r=1/2 d

r=4

2pi*4= 25.1327

The two-way frequency table of column relative frequencies for Kamden is shown below.

What is a two-way frequency table?

A two-way frequency table is a table that's used to graphically the represent frequencies or relative frequencies that are associated with two categorical variables.

How to complete the two-way frequency table?

When card had a star, the relative frequency that Kamden guessed a star is given by:

F(s) = 4/5

F(s) = 0.80.

Kamden guessed not a star is given by:

F(ns) = 2/754

F(ns) = 0.002 ≈ 0.00.

When card didn't have a star, the relative frequency that Kamden guessed a star is given by:

F(s) = 1/5

F(s) = 0.20.

Kamden guessed not a star is given by:

F(ns) = 752/754

F(ns) = 0.997 ≈ 1.00.

For the total, we have:

Total of F(s) = 0.80 + 0.20

Total of F(s) = 1.00.

Total of F(ns) = 0.00 + 1.00

Total of F(ns) = 1.00.

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Complete Question:

Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it. The two-way frequency table below shows data on guess and true status of the cards the friends drew. Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.)

The value of x if lines m and n are parallel is 64 degrees

The missing information to answer this complete question is added as an attachment

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

Lines m and n are parallel lines

This means that

2x - 8 + 60 = 180 ---- by angles on a straight line theorem

Collect the like terms

2x = 180 - 60 + 8

Evaluate the like terms

2x = 128

Divide by 2

x = 64

Hence, the value of x is 64 degrees

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The length of JI is equal to 6 cm (i.e., JI = 6 cm) since J is the midpoint of line segment KI.

In geometry, a line segment is a part of a line that has two endpoints. It is a straight path that connects two points, and it is the shortest distance between those two points. A line segment is named by its two endpoints, and the symbol “‾‾” is placed over the two endpoints to denote that it is a line segment.

Line segments can be measured, and their lengths can be calculated by using the distance formula, which is based on the Pythagorean theorem. The distance formula states that the distance between two points (x1, y1) and (x2, y2) in a two-dimensional plane is given by:

[tex]d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]

Line segments are important in many areas of geometry and mathematics. They are used to define shapes and figures, to measure distances, and to calculate areas and volumes. In trigonometry, line segments are used to define angles, and they are also used to calculate the length of sides in right triangles.

Line segments can be compared and classified based on their lengths. A line segment that has the same length as another line segment is said to be congruent to it. Line segments can also be classified as equal (having the same length), longer or shorter than others, and parallel or intersecting.

By definition, the midpoint of a line segment divides the line segment into two equal parts. Since J is the midpoint of KI, it means that KJ is equal in length to JI, and therefore JI is also 6 cm.

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The conversion of 750ml in oz is equal to 25.36 fluid ounces.

One- thousandth of a liter is a substitute to one milliliter.

Milliliters denoted by ml.

Ounces and fluid ounces are two unlike units.

1 fluid ounce is equal to the 1.04 oz weight.

US fluid ounce contain 29.6 milliliters and British fluid ounce contain 28.4 milliliters.

Ounce expressed by notation oz.

We can use the following formula to convert milliliters (ml) to fluid ounces (oz):

1 ml = 0.033814 oz

Here we want to convert the  750ml into oz

So, to convert 750 ml to oz,

We can multiply 750 by 0.033814:

750 ml × 0.033814 oz/ml

= 25.36 oz (rounded to two decimal places)

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I'm positive the answer is 1, 7, 13, and 91

The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.

Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:

slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5

The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.

Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).

Answer:

The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.

Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:

slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5

The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.

Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).

Step-by-step explanation:

An acre is a unit of measurement used to quantify land area, and it is commonly used in the United States to measure the size of plots of land, farms, and estates. One acre is equal to 43,560 square feet.

To visualize an acre, imagine a rectangle that is approximately 208 feet by 209 feet, or a square that is approximately 209 feet on each side.

To convert acres to square feet, you can use the following formula:

1 acre = 43,560 square feet

Therefore, to convert acres to feet, you can simply multiply the acre value by 43,560. For example, if you want to convert 5 acres to square feet, you can use the following formula:

5 acres x 43,560 square feet per acre = 217,800 square feet

So 5 acres is equal to 217,800 square feet.

It's worth noting that the acre is a unit of measurement used primarily in the United States, and other countries may use different units of measurement to quantify land area. For example, in the metric system, the hectare is commonly used to measure land area, with 1 hectare equal to 10,000 square meters (about 2.47 acres).

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Exponents laws are

[tex]a^n . a^m = a^{n + m}[/tex]

[tex]a^n / a^m[/tex] = [tex]a^{n - m}[/tex]

Exponent laws are important to use because they will help us to simplify complex expressions easier.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Exponents are written in the form [tex]a^n[/tex]

Where n can be any real numbers.

Now,

a = 2

For n = 0, 1, 2, 3, -1, -2, -3

We get,

[tex]2^0[/tex] = 1

2² =  2 x 2 = 4

2³ = 2 x 2 x 2 = 8

[tex]2^{-1}[/tex] = 1/2

[tex]2^{-2}[/tex]  = 1/(2 x 2) = 1/4

[tex]2^{-3}[/tex] = 1/(2 x 2 x 2) = 1/8

Exponents laws are:

[tex]a^n . a^m = a^{n + m}[/tex]

[tex]a^n / a^m[/tex] = [tex]a^{n - m}[/tex]

Thus,

Exponent laws are important to use because they will help us to simplify complex expressions easier.

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Answer:

20 tons

Step-by-step explanation:

To convert pounds to tons, we need to divide the number of pounds by the number of pounds in a ton.

There are 2,000 pounds in one ton.

To convert 40,000 pounds to tons, we divide 40,000 by 2,000:

40,000 pounds / 2,000 pounds/ton = 20 tons

Therefore, 40,000 pounds is equivalent to 20 tons.

The  converted value from Celsius to Fahrenheit is given by 39 Celsius is equal to 102.2 Fahrenheit.

Units represents the measure of the temperature in standard form Celsius and Fahrenheit .

Formula relates the Celsius and Fahrenheit are equal to

(°C × 9/5) + 32 =°F

Now, Substitute the value 39 Celsius which required to convert  into Fahrenheit we have,

(39°C × 9/5) + 32

= ( 351 / 5 ) + 32

= ( 70.2 ) + 32

= 102.2°F

Therefore, the converted value from Celsius to Fahrenheit for the given 39 Celsius is given by 102.2 Fahrenheit.

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The above question is incomplete, the complete question is:

What is the conversion of 39 degrees Celsius to °F ?

The total distance that she sprint on day 21 is option (c) 180 yards

To solve the problem, we need to use the explicit formula for an arithmetic sequence, which is:

an = a1 + (n - 1) × d

where:

an is the nth term of the sequence

a1 is the first term of the sequence

n is the number of the term we want to find

d is the common difference between consecutive terms

To find out how far Marika sprints on day 21, we can substitute n = 21 into the explicit formula:

an = 100 + (n - 1) × 4

a21 = 100 + (21 - 1) × 4

a21 = 100 + 20 × 4

a21 = 100 + 80

a21 = 180 yards

Therefore, the correction option is (c) 180 yards

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Answer: 50 meters

Perimeter = 2W x 2L OR W+W+L+L (the measurement of all sides of a shape)

Width = 9 meters

Length = 16 meters

9(2) + 16(2) = 50 meters

Answer:

False, it took her 2 hours and 24 minutes

Step-by-step explanation:

The equation 12h = 5 is not correct because it would mean that Helen completed her run in 5 hours, which is not possible since she only ran 12 miles.

To find the correct number of hours, we can use the formula:

Distance = rate x time

Where distance is the total distance Helen ran (12 miles), rate is her speed (5 miles per hour), and time is the number of hours it took her to run.

We can rearrange the formula to solve for time:

Time = distance / rate

Plugging in the values we have:

Time = 12 miles / 5 miles per hour

Simplifying, we get:

Time = 2.4 hours

Therefore, it took Helen 2.4 hours (or 2 hours and 24 minutes) to complete her run.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

To calculate the value of "600 decreased by 20%", we can multiply 600 by 0.8:

600 × 0.8 = 480

To calculate "600 decreased by 20% and then increased by 20% of the result", we need to multiply 480 by 1.2:

480 × 1.2 = 576

Therefore, 600 decreased by 20% and then increased by 20% of the result is 576.

To find out which number is greater and by how much, we can subtract 576 from 600:

600 - 576 = 24

So, 600 is greater than 600 decreased by 20% and then increased by 20% of the result, by 24.

Answer:divideing by the whole number

Step-by-step explanation:

In the simplest form, we can write the expression as -

y = [tex]$\frac{2}{15}[/tex].

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

4x + 5z

Given is the mathematical statement as -

"one over six one over 2/3"

We can write the given mathematical statement in the simplest form as follows. We can write the expression as -

y = [tex]$\frac{1}{6\frac{1}{(\frac{2}{3}) } }[/tex]

y = [tex]$\frac{1}{6\frac{3}{2} }[/tex]

y = [tex]$\frac{1}{\frac{15}{2} }[/tex]

y = [tex]$\frac{2}{15}[/tex]

Therefore, in the simplest form, we can write the expression as -

y = [tex]$\frac{2}{15}[/tex].

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The conversion of 2400 dollars to yen is 264,000 yen.

It's worth noting that the actual exchange rate at the time of the conversion may be different and can affect the resulting amount of yen.

To convert 2400 US dollars (USD) to Japanese yen (JPY), we need to use the current exchange rate between these two currencies. The exchange rate can fluctuate over time, so the conversion result may vary depending on when you make the conversion.

As of my knowledge cutoff of September 2021, the exchange rate was roughly 1 USD = 110 JPY. Using this exchange rate, we can calculate the conversion as follows:

2400 USD × 110 JPY/USD = 264,000 JPY

Therefore, 2400 US dollars is equivalent to approximately 264,000 Japanese yen using this exchange rate.

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The radius of the circle is solved to be

The radius of the circle is using the formula for length of arc

= theta / 360 * 2πr

For angles in radian we have that

= theta * radius

Form the problem we have that

arc length is 11π/3

theta = 11π/6 radians

hence

11π/3 = 11π/6 * radius

radius = 2

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Based on the question given, the probability that Federico scores one point in this situation is 0.24, or 24%

Since Federico makes 60% of his free throws, the probability that he makes his first free throw is 0.6. If he makes his first free throw, he will get a second free throw, and the probability that he makes his second free throw is also 0.6.

If he misses his first free throw, he will not get a second free throw, and he will score zero points in this situation.

So, to find the probability that Federico scores one point in this situation, we need to find the probability that he makes his first free throw and misses his second free throw:

P(score 1 point) = P(makes 1st free throw) * P(misses 2nd free throw)

= 0.6 * (1 - 0.6) [since the probability of missing a free throw is 1 minus the probability of making it]

= 0.6 * 0.4

= 0.24

Therefore, the probability that Federico scores one point in this situation is 0.24, or 24%

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The correct interpretation of the given confidence interval is: We are 90% confident that the interval from 0.397 to 0.503 captures the true proportion (p) of all US doctors who are satisfied with the current state of US health care.

In statistics, a confidence interval is a range of values that is likely to contain an unknown population parameter, such as a population mean or proportion, based on a sample from that population. A confidence interval is constructed with a particular level of confidence, which represents the probability that the interval will contain the true population parameter. The confidence level is typically expressed as a percentage, such as 90%, 95%, or 99%.

Here,

This means that if we were to repeat the process of taking a random sample of 240 US doctors and calculating a 90% confidence interval for the proportion of doctors who are satisfied with the current state of US health care, 90% of those intervals would contain the true proportion.

It is not correct to say that 90% of all doctors are satisfied with the current state of US health care, because the confidence interval only provides information about the range of plausible values for the true proportion, not the exact value.

It is also not correct to say that a majority of the doctors in the sample are satisfied with the current state of US health care, because the confidence interval includes values both above and below 0.5, which means that we cannot conclude whether a majority or a minority of doctors are satisfied with the current state of US health care.

Therefore, the correct answer is: We are 90% confident that the interval from 0.397 to 0.503 captures the true proportion of all US doctors who are satisfied with the current state of US health care.

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Answer:

Step-by-step explanation:

the probability that a continuous random variable equals any of its values is Zero.

This problem, we have been asked what is the probability of a continuous random variable being equal to any of its values, so the answer will be 0. The probability that a continuous random variable equals any of its values will be 0 point now.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

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Complete Question

The probability that a continuous random variable equals any of its value is?

Answer:is this a literal question?

Step-by-step explanation:

if so than it depends on the subject for me

The class interval of a data set with 30 elements is 5.

The range of a data set is the difference between the largest and smallest values in the set. Once the range is calculated, the class interval can then be calculated by dividing the range by the number of elements in the set.

In the case of a data set with 30 elements, the class interval can be calculated by dividing the range of the data set by 30. This will tell us the size of the intervals that the data is divided into.

If the range of the data is 150, the class interval would be 150/30, which is equal to 5. Therefore, the class interval of the data set would be 5.

It is important to note that the class interval should be chosen so that it is not too small or too large. If the class interval is too small, the data may become too granular, making it difficult to interpret. If the class interval is too large, important details about the data may be lost

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