Como sacar el area crcular de un radio de 10 m

The terms (f - g)(x), where f(x) = x2/x - 4 and g(x) = x2/x + 4x2 - x/6x2 - 6, are simplified.

Finding the common denominator of the two fractions in f(x) and g(x) is the first step in simplifying (f - g)(x). As 6x is the common denominator, the two fractions must be rewritten as follows:

f(x) = [tex](x^2/ x)[/tex] * (6/6) - (4/1) * (x/6x)

G(x) is equal to (x2/x) * (6/6) + (4x2 - x)/ (6x2).

We can now deduct g(x) from f(x) to obtain:

(f - g)(x) = (6/6 - 6/6 - 4/1) * (x/6x) - [tex](4x^2 - x)/ (6x^2)[/tex]

We can dispense with the first term as its simplification yields 0. We get -2x/3 by simplifying the second term. The third term can be simplified to (-4x3 + x2 - 24x2 + 6x)/(6x3), which is equivalent to (-4x3 - 23x2 + 6x)/(6x3).

Therefore, the final simplified expression for (f - g)(x) is:

[tex](f - g)(x) = -2x/3 - (4x^3 + 23x^2 - 6x)/(6x^3)[/tex]

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The volume of smaller figure is 191.808 cubic inches.

Given that, the surface areas of two similar figures are S. A. = 244 and square inches and S. A. = 549 square inches

When two figures are similar, the square of the ratio of their corresponding side lengths equals the ratio of their area.

Here, a²/b²=244/549

a²/b²=√244/√549

a/b = 15.6/23.4

Let the volume of the smaller figure be x.

The ratio of the volume of two similar figures will be equal to cube of ratio of the length of sides.

Here, a³/b³ = x/648

15.6³/23.4³= x/648

3796.416/12812.904= x/648

0.296= x/648

x=0.296×648

x=191.808 cubic inches

Therefore, the volume of smaller figure is 191.808 cubic inches.

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The z-score of an observation represents the number of standard deviations the observation is away from the mean.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = 0.4, this means that the observation is 0.4 standard deviations above the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (0.4 * σ)

This means that the observation is located to the right of the mean by a distance of 0.4 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of 0.4 indicates that the observation is 0.4 standard deviations above the mean.

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The inequality to describe the possible values for the total area A in square feet is A ≤ 48.67.

We have,

Area of a triangle.

A = 1/2 x base x height

A = 1/2 x 6.2 x 15.7

A = 48.67 feet²

Now,

To write as an inequality,

To describe the possible values for the total area A in square feet.

A ≤ 48.67

Thus,

The inequality to describe the possible values for the total area A in square feet is A ≤ 48.67 .

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Answer:

C. 62°

Step-by-step explanation:

RQ equal to TQ

so <PQT = 90° - x

90° - 28°

=62°

i hope that is the answer

Answer:

62 degrees

Step-by-step explanation:

We know that TQ is 180 degrees, and that it's tangent, meaning the line, RQ, is perpendicular to TQ, meaning that each angle is 90 degrees.

We also know that x=28 degrees, we can write an equation:

90-28=62

So, PQT is 62 degrees.

Hope this helps! :)

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= [tex]1 - (1 - e^{(-8/2)}^{5}[/tex]

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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The similar triangles are =

1) ΔABC~ΔBDC~ΔADB

2) ΔEFG~ΔFHE~ΔFHG

3) ΔJMK~ΔLMK~ΔJKL

Given are figure, we need to find the similar triangles and the missing values,

1) The similar triangles are =

ΔABC~ΔBDC~ΔADB

Therefore,

x² = 8 × 4

x = √32

x = 4√2

2) The similar triangles are =

ΔEFG~ΔFHE~ΔFHG

Therefore,

15/y = y/9

y² = 135

y = 3√15

3) The similar triangles are =

ΔJMK~ΔLMK~ΔJKL

Therefore,

12/18 = 18/z

12z = 18²

z = 324/12

z = 27

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The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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The  probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:

(n choose x) = n! / (x! * (n-x)!)

So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:

P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
     = 7 * 0.65^6 * 0.35^1
     = 0.3052

Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

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Answer:

-1.13

Step-by-step explanation:

you can count the lines and get the answer, one line down from -1.1 is -1.11 since -1.1 is technically -1.10 and you keep counting until the dot

The 95% confidence interval for the population proportion can be written as (0.27, 0.49) or as 0.38 ± 0.11.

To rewrite the confidence interval in the form of p^±margin of error, we first need to find the point estimate, which is the sample proportion. Since the confidence interval is for a population proportion, we don't have the sample proportion directly. However, we can use the midpoint of the confidence interval as an estimate of the population proportion:

[tex]p^[/tex]= (0.27 + 0.49) / 2 = 0.38

The margin of error is half of the width of the confidence interval:

margin of error = (0.49 - 0.27) / 2 = 0.11

Therefore, the confidence interval can be written as:

[tex]p^ ±[/tex] margin of error = 0.38 ± 0.11

So the 95% confidence interval for the population proportion can be written as (0.27, 0.49) or as 0.38 ± 0.11.

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The specific values of c(0) and c(5) are not provided in the question, you would need to provide the values of the number of decks of cards at day 0 and day 5 to calculate the average rate of change accurately.

To calculate the average rate of change for day 0 to day 5, we need to determine the change in the number of decks of cards (Δc) over that time period and divide it by the change in the number of days (Δt).

Given that c represents the number of decks of cards and t represents the number of days, we have:

c(0) = initial number of decks of cards (at day 0)

c(5) = number of decks of cards after 5 days

The average rate of change is then calculated as:

Average rate of change = Δc / Δt = (c(5) - c(0)) / (5 - 0)

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When performing a statistical test, such as the Chi-Square test, the p-value is a crucial component in determining the significance of the data compared to the null hypothesis. The p-value represents the probability of observing the given data, or more extreme results, assuming the null hypothesis is true. In general, a p-value threshold of 0.05 is used to determine statistical significance.

If the calculated p-value is less than or equal to 0.05, it indicates that the observed data significantly differ from what is expected under the null hypothesis. This means that there is a less than 5% chance of obtaining the observed data if the null hypothesis were true. Consequently, researchers often reject the null hypothesis in favor of the alternative hypothesis when the p-value is less than or equal to 0.05.

However, it is essential to note that the choice of the significance level is subjective and may vary depending on the field or specific study. In some cases, a more stringent threshold, such as 0.01, might be required to minimize the chances of false positives, while in other situations, a more lenient threshold, such as 0.10, may be acceptable.

In summary, a p-value of 0.05 or less typically indicates that the data differ significantly from what is expected under the null hypothesis in a statistical test like the Chi-Square test. However, the chosen threshold for significance may vary depending on the specific context and research objectives.

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It will take you 30 days to run a total of 12 kilometers.

The popular distance calculator calculates distances in kilometres between any locations and coordinates, providing route planners

To calculate the number of days it will take you to run a total of 12 kilometers, we need to convert kilometers to meters and then divide it by the distance you run each day.

1 kilometer = 1000 meters

So, 12 kilometers is equal to 12 * 1000 = 12000 meters.

Since you run 400 meters each day, we can divide the total distance by the distance you run each day to find the number of days:

12000 meters / 400 meters per day = 30 days

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Angles 7 and 9 on the figure given at the end of the answer are classified as alternate interior angles.

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:

<7 and <9, as they are between the parallel lines c and d, on opposite sides relative to the transversal line a.

The diagram is given by the image presented at the end of the answer.

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The union of set A and the intersection of the complement of set B and the complement of set C.

The set can be broken down into two parts - the intersection of the complement of set B and the complement of set C, and the union of set A with this intersection.

The complement of a set A is the set of all elements that are not in A. So, B' represents all elements that are not in set B, and C' represents all elements that are not in set C.

The intersection of two sets A and B is the set of all elements that are in both A and B. So, B' ∩ C' represents the set of all elements that are not in set B and not in set C.

The union of two sets A and B is the set of all elements that are in either A or B or both. So, AU(B' ∩ C') represents the set of all elements that are in set A or not in set B and not in set C or both.

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The area of the field is 10,765.44 square meters.

Given that:

Diameter, d = 72 m

Width, W = 72 m

Length, L = 93 m

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The area of the field is calculated as,

A = (π/4)d² + W·L

A = (3.14 / 4) x 72² + 72 x 93

A = 4,069.44 + 6,696

A = 10,765.44 square meters

The area of the field is 10,765.44 square meters.

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The value of both angles in degrees from 0° ≤ 0 < 360° and both angles in radians from 0 ≤ theta < 2pi are,

⇒ θ = π/3 or 2π/3

⇒ θ = 60° or 120°

We have to given that;

⇒ cosec θ = (2√3)/3

Now, We can simplify as;

⇒ cosec θ = (2√3)/3

⇒ cosec θ = (2/√3)

⇒ sin θ = √3/2

Hence, Within the interval 0 ≤ theta < 2pi are,

⇒ θ = π/3 or 2π/3

⇒ θ = 60° or 120°

Thus, The value of both angles in degrees from 0° ≤ 0 < 360° and both angles in radians from 0 ≤ theta < 2pi are,

⇒ θ = π/3 or 2π/3

⇒ θ = 60° or 120°

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Answer:14.42

How to get it:Use Pythagorean Theorem to solve this problem. Since a squared plus b squared =c squared and we have an and c we can work backwards. Start by squaring 17 (17x17) which would be 289. Then do 9 squared (9x9) to get 81. Subtract 289-81 to get 208, square root this for your answer 14.4222 round to 14.42. You can check this by doing 14.4222 squared plus 9 squared then square root it and you should get approximately, but not exactly 17.

Answer:

-1 and 0

Step-by-step explanation:

The intervals of x:

[tex] - 1 \leqslant x \leqslant 5[/tex]Substitute -1 first:

[tex]4( - 1) + 5 \leqslant 5 \\ - 4 + 5 \leqslant 5 \\ 1 \leqslant 5[/tex]

This inequality is true.

Substitute 0 next:

[tex]4(0) + 5 \leqslant 5[/tex]

[tex]5 \leqslant 5[/tex]

This is true.

Substitute 1 into x next:

[tex]4(1) + 5 \leqslant 5[/tex]

[tex]9 \leqslant 5[/tex]

This is not true. Thus any integers greater than 0, not including 0, does not satify the inequality.

Answer:

[tex]\sqrt{\frac{3V}{\pi h} }=r[/tex]

Step-by-step explanation:

The formula for volume of a cone is V = 1/3πr^2h, where V is the volume, r is the radius, and h is the height.

We can express r in terms of the other three parts of the formula by isolating it:

[tex]V=1/3\pi r^2h\\\\3V=\pi r^2h\\\\\frac{3V}{h\pi }=r^2\\ \\\sqrt{\frac{3V}{h\pi } }=r^[/tex]

We can check first by choosing a value for r and h, which will allow us to find a volume.  Then, we can rearrange the numbers using the formula expressing r in terms of the volume, height, and pi

For example, using a radius that is 2 units and height that is 5[tex]V=1/3\pi (2)^2*5\\V=1/3\pi *4*5\\V=20/3\pi \\V=20.94395102[/tex] units will give a volume of 20/3π (i.e., 20.94395102) units:

Now, we can plug in our numbers for the formula expressing r in terms of volume, height, and pi and check that we get a radius of 2:

[tex]\sqrt{(\frac{3*20/3\pi }{5\pi }) } =2\\\sqrt{(\frac{20\pi }{5\pi }) }=2\\ \sqrt{4}=2\\ 2=2[/tex]

Thus, our formula expressing r in terms of V, h, and π is correct

The center of the circle with the equation ( x - 5 )² + ( y + 5 )² = 5 is (5,-5).

The standard form equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the center of the circle, and r is the radius.

Given the equation of the circle:

( x - 5 )² + ( y + 5 )² = 5

Comparing the given equation with the standard form (x - h)² + (y - k)² = r², we see that the center of the circle is at the point (h, k), which corresponds to the values inside the parentheses. So we have:

h = 5

k - 5

This means that the center of the circle is at the point (5, -5).

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If she charges p dollars for each photo, she can sell 330–6p photos each month, Then we can factor the quadratic inside the parentheses: – 6(p–15)(p–45) = 0.

In the factored form of Kristen's monthly profit expression, – 6(p–15)(p–45), the numbers 15 and 45 represent the values of p (the price per photo) at which Kristen's profit will be equal to zero.

This is because when Kristen's profit is equal to zero, she is neither making a profit nor losing money, and the number of photos she sells is maximizing her revenue. So, at the values of p where the profit is zero, Kristen is making the most profit she can given her costs and sales data.

To find these values, we set the profit expression equal to zero and solve for p:

– 6p2+360p–4,050 = 0

We can factor out a – 6 from this expression:

– 6(p2–60p+675) = 0

Then we can factor the quadratic inside the parentheses:

– 6(p–15)(p–45) = 0

Thus, this means that Kristen's profit will be zero when p equals either 15 or 45. At these prices, Kristen is maximizing her revenue and making the most profit she can given her costs and sales data.

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Events that cannot both occur at the same time are mutually exclusive events.

-The probability of the union of mutually exclusive events is equal to the sum of their individual probabilities, i.e., P(A ∪ B) = P(A) + P(B). Events that cannot both occur at the same time are mutually exclusive events.

-In other words, if two events A and B are mutually exclusive, then they have no outcomes in common, and the occurrence of one event precludes the occurrence of the other event. Mathematically, this means that the intersection of A and B is an empty set, i.e., A ∩ B = ∅.

The probability of the union of mutually exclusive events is equal to the sum of their individual probabilities, i.e., P(A ∪ B) = P(A) + P(B).

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The component of the field vector E = 3.0x [tex]\hat{i}[/tex] + 4.0 [tex]\hat{j}[/tex] pierces the top face is the y-component

The electric field vector E = 3.0x [tex]\hat{i}[/tex] + 4.0 [tex]\hat{j}[/tex] has an x-component of 3.0 and a y-component of 4.0. To determine which component of the field vector pierces the top face, we need to know the orientation of the top face.

Assuming that the top face is perpendicular to the z-axis, the component of the field vector that pierces the top face is the y-component, Ey = 4.0. Therefore, the answer to the question is the y-component of the field vector, which is 4.0

Hence, the component of the field vector E = 3.0x [tex]\hat{i}[/tex] + 4.0 [tex]\hat{j}[/tex] pierces the top face is the y-component.

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Two tenths plus unknown fraction equals sixty seven hundredths. The unknown fraction is 0.47.

Let's represent the unknown fraction as x. Then, we can translate the given statement into an equation:

0.2 + x = 0.67

To solve for x, we can isolate it on one side of the equation by subtracting 0.2 from both sides:

x = 0.67 - 0.2

x = 0.47

Therefore, the unknown fraction is 0.47.

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Answer:

1) [tex]10\sqrt{10[/tex]

3) [tex]15[/tex]

5) [tex]9\sqrt3[/tex]

7) [tex]35\sqrt7[/tex]

Step-by-step explanation:

We can simplify these values by factoring the value underneath the square root sign.

1) We can factor 1000 as:

[tex]1000 = 10 \cdot 10 \cdot 10[/tex]

From this factorization, we can see that there is a pair of 10s. So, we can represent this as one 10 outside the square root.

[tex]\sqrt{1000}[/tex]

[tex]= \sqrt{10 \cdot 10 \cdot 10}[/tex]

[tex]= \boxed{10\sqrt{10}}[/tex]

3) We can factor 225 as:

[tex]225 = 5 \cdot 5 \cdot 3 \cdot 3[/tex]

We can see that there is a pair of 5s and a pair of 3s. So, we have one 5 and one 3 outside the square root.

[tex]\sqrt{225}[/tex]

[tex]= \sqrt{5\cdot 5 \cdot 3 \cdot 3}[/tex]

[tex]= 5 \cdot 3 \sqrt{1}[/tex]

[tex]= \boxed{15}[/tex]

5) We can factor 243 as:

[tex]243 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3[/tex]

We can see that there are two pairs of 3s. So, there will be two 3s outside the square root.

[tex]\sqrt{243[/tex]

[tex]= \sqrt{3 \cdot 3 \cdot3 \cdot 3\cdot 3[/tex]

[tex]= 3 \cdot 3\sqrt3[/tex]

[tex]=\boxed{9\sqrt3}[/tex]

7) We can factor 175 as:

[tex]175 = 5 \cdot 5 \cdot 7[/tex]

We can see that there is a pair of 5s. So, there will be one 5 outside the square root multiplied by the 7 that is already there.

[tex]7\sqrt{175[/tex]

[tex]= 7\sqrt{ 5 \cdot 5 \cdot 7}[/tex]

[tex]= 7 \cdot 5\sqrt7[/tex]

[tex]= \boxed{35\sqrt7}[/tex]

90 bags of tea can make 21 gallons of tea.

To solve this problem, we can set up a proportion using the ratio of bags of tea to gallons of tea:

30 bags of tea / 7 gallons of tea = 90 bags of tea / x gallons of tea

where x is the number of gallons of tea that can be made with 90 bags of tea.

To solve for x, we can cross-multiply:

30 bags of tea * x = 7 gallons of tea * 90 bags of tea

30x = 630

x = 21

Therefore, 90 bags of tea can make 21 gallons of tea.

Another way to solve this problem is to recognize that the ratio of bags of tea to gallons of tea is constant, so we can set up a proportion directly:

30 bags of tea / 7 gallons of tea = 90 bags of tea / x gallons of tea

Cross-multiplying gives the same result as before:

30x = 630

x = 21

Either method gives us the same answer: 90 bags of tea can make 21 gallons of tea.

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