Find the circumference of the circle with the radius 49cm. Use 22/7 for pi. Pls help :)

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

Mean: 20

Median: 16

Mode: No mode

Step-by-step explanation:

For the mean:

44 + 4 + 27 + 5 = 80

80/4 = 20

For the median:

5 + 27 = 32

32/2 = 16

For the mode:
None of the numbers are repeated.

To use the ratio test, we need to take the limit of the absolute value of the ratio of consecutive terms:

| (n+1)th term / nth term | = | (n+1)!2(4n+3)x^n+1 / n!2(4n-1)x^n | = | (n+1)(n+2) / (4n+3)(4n+2) | * | x |

As n approaches infinity, the ratio simplifies to: | x | * 1/16

So, the ratio test tells us that the series converges when | x | < 16. The radius of convergence, R, is the distance from the center of the power series (which is 0) to the point where the series converges. So, R = 16.

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Answer:

54,436.004 and 247,892.984

Step-by-step explanation:

Answer:

third and fourth

Step-by-step explanation:

According to the question approximately 54,820,000 X-ray photons get attenuated inside the sample.

To calculate the number of X-ray photons that get attenuated inside the sample, we need to determine the fraction of photons that are transmitted through the sample and the fraction that gets attenuated.

The fraction of photons transmitted through a material can be calculated using the exponential attenuation law, which states that the intensity of X-rays decreases exponentially as they pass through a material:

\(\[ I = I_0 \cdot e^{-\mu x} \]\)

where I is the transmitted intensity, I_0 is the initial intensity, \mu is the linear attenuation coefficient of the material, and x is the thickness of the material.

The linear attenuation coefficient (\(\mu\)) can be calculated using the half-value layer (HVL) of the material:

\(\[ \mu = \frac{{0.693}}{{\text{{HVL}}}} \]\)

Given that the HVL for muscle is 3.9 cm and for bone is 2.3 cm, we can calculate the linear attenuation coefficients for both tissues:

For muscle:

\(\[ \mu_{\text{{muscle}}} = \frac{{0.693}}{{3.9}} \]\)

For bone:

\(\[ \mu_{\text{{bone}}} = \frac{{0.693}}{{2.3}} \]\)

Now we can calculate the fraction of X-ray photons transmitted through each tissue. Let's denote the transmitted fractions as T_muscle and T_bone for muscle and bone, respectively.

For muscle:

\(\[ T_{\text{{muscle}}} = e^{-\mu_{\text{{muscle}}} \cdot 3} \]\)

For bone:

\(\[ T_{\text{{bone}}} = e^{-\mu_{\text{{bone}}} \cdot 1} \]\)

The fraction of X-ray photons that get attenuated inside the sample is equal to 1 minus the transmitted fraction:

\(\[ \text{{Attenuated fraction}} = 1 - (T_{\text{{muscle}}} \cdot T_{\text{{bone}}}) \]\)

Finally, we can calculate the number of X-ray photons that get attenuated inside the sample by multiplying the attenuated fraction by the initial number of photons:

\(\[ \text{{Number of attenuated photons}} = \text{{Attenuated fraction}} \cdot \text{{Initial number of photons}} \]\)

Now let's plug in the given values and perform the calculations:

For muscle:

\(\[ \mu_{\text{{muscle}}} = \frac{{0.693}}{{3.9}} \approx 0.1777 \, \text{{cm}}^{-1} \]\)

For bone:

\(\[ \mu_{\text{{bone}}} = \frac{{0.693}}{{2.3}} \approx 0.3013 \, \text{{cm}}^{-1} \]\)

For muscle:

\(\[ T_{\text{{muscle}}} = e^{-0.1777 \cdot 3} \approx 0.6059 \]\)

For bone:

\(\[ T_{\text{{bone}}} = e^{-0.3013 \cdot 1} \approx 0.7408 \]\)

\(\[ \text{{Attenuated fraction}} = 1 - (0.6059 \cdot 0.7408) \approx 0.5482 \]\)

\(\[ \text{{Number of attenuated photons}} = 0.5482 \cdot 10^9 = 54,820,000 \]\)

Therefore, approximately 54,820,000 X-ray photons get attenuated inside the sample.

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Answer:

\(h+3s= 35--------1\\\\2h+s= 20--------2\)

Step-by-step explanation:

Given data

let hats be h

and shirts be s

Rob brought a hat and 3 shirts for 35$. Dan brought 2 hats

h+3s= 35--------1

and a shirt for 20$

2h+s= 20--------2

Hence the systems of equations is given as

h+3s= 35--------1

2h+s= 20--------2

The system of equations has two-equations \(h+3s=35\) and \(2h+s=20\).

Important information:

Let s be the cost of one shirt and h be the cost of one hat.

Rob brought a hat and 3 shirts for 35$.

\(h+3s=35\)         ...(i)

Dan brought 2 hats and a shirt for 20$.

\(2h+s=20\)        ...(ii)

Therefore, the system of equations has two-equations \(h+3s=35\) and \(2h+s=20\).

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Answer: x = 3 and y = 4

Step-by-step explanation:

Step: Solve x + y= 7 for x:

x + y = 7

x + y + −y= 7+−y

x = −y + 7

Step: Substitute −y + 7forxinx+2y=11:

x + 2y = 11

−y + 7 + 2y = 11

y + 7 = 11

y + 7 + −7 = 11 + −7

y=4

Step: Substitute 4 for y in x = −y + 7:

x = −y + 7

x = −4 + 7

x = 3

Answer:

x = 3 and y = 4

Hope I did it right

Answer:

3.14

Step-by-step explanation:

\(\pi\) or commonly known as Pi is equal to 3.14 so it will fit in between 3 and 4 but closer to 3.

The surface area of balloon is growing at a pace of 160 square centimetres per minute is when radius is 10 centimetres.

We are aware that the formula

\(A=4r ^{2} \)

gives the area of a sphere, where A is the amount and r the radius of a circle.

We must take the gradient of the surface site in relation to time to determine how quickly the total area is changing.

\(dA/dt = d/dt(4r ^{2} ).\)

The following can be written using the chain rule:

\(dA/dt = 8r(dr/dt)\)

As we are aware that the radius changes at a rate of 2 centimetres per minute, dr/dt=2. This number can be used as a substitute in the equation above:

\(dA/dt = 8πr (2)\)

The balloon's surface area when the radius equals 10 centimetres equals:

\(A = 4π(10)^2 = 400π\)

The equation we calculated above can now be changed by substituting the radius as well as the changes in the rate of radius:

\(dA/dt = 8π(10)(2) = 160π\)

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In a population growth model for rabbits, foxes, and humans, the sum norm of the coefficient matrix is 4.5 and the max norm is 4.4. Using these norms, we can bound the size of the population vector after one period.

(a) To find the coefficient matrix A, we identify the coefficients of the variables R, F, and H in the given model equations. Once we have A, we can calculate its sum norm by adding up the absolute values of its elements and its max norm by taking the maximum absolute value among its elements. (b) Given the population vector p = [10, 10, 10], we can calculate p'Ap by multiplying p' (transpose of p) with A and then with p. The resulting value will provide the bounds for the size of p'Ap in both sum and max norms. Comparing this value with the norm bounds will indicate how close they are. (c) To determine the sum norm bound for the population vector after four periods, p(4), we need to multiply A by itself four times and calculate the sum of the absolute values of its elements. This sum will give us the desired sum norm bound.

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Answer:118 for the other angle

Step-by-step explanation:trust me bro

Answer: i dont know the answer but can i please have brainliest, i wanna know what it looks like and what it does

Step-by-step explanation:

Choice B - Supremacy

As used in line 53, "dominion" most nearly means supremacy.

In the first paragraph of Passage 2, when discussing changing social relations, Mill writes that in her time there was "a just equality, instead of the supremacy of the strongest." In this context of a society where some once had much more power than others, the word "dominion" almost means superiority or greater power.

Choices A, C, and D are incorrect because, in the context of a paragraph discussing differences in the amount of power members of a society have, "dominion" means dominion or greater power, not omnipotence or the state of being all-powerful (choice A), possession ( choice C) or territory (choice D).

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Answer: 14x + 14

Step-by-step explanation: To find the perimeter of the room without the door, we need to add up the four sides. Using the simplified expression for the perimeter, which is 2(4x+1) + 2(3x+6), we can simplify further by distributing the 2:

2(4x+1) + 2(3x+6) = 8x + 2 + 6x + 12

Combining like terms, we get:

14x + 14

Therefore, the perimeter of the room without the door in simplest form is 14x+14.

cant understand your language can you translate in English

a) Null hypothesis: Sex and risk of a lower-extremity injury in interscholastic soccer are not related variables. Alternative hypothesis: Sex and risk of a lower-extremity injury in interscholastic soccer are related variables. So the option E is correct.

b) There is insufficient information to draw the conclusion that the variables are connected even though the value is greater than the 0.05 threshold for significance.

c) The difference between these percentage are fairly similar which suggests that sex and risk of lower-extremity Injury in  interscholastic soccer are not related.

a) The null and alternative hypotheses about sex and the risk of a lower-extremity Injury while playing interscholastic soccer is:

Null hypothesis: Sex and lower-extremity injury risk in interscholastic soccer are unrelated factors. Alternative hypothesis: sex and the likelihood of sustaining a lower-extremity injury in collegiate soccer are associated variables.

So the option E is correct.

b) The conclusion is that there is no significant relationship between the gender of the athlete and the risk of lower-extremity injuries. This conclusion is based on the fact that the chi-square statistic (1.63) and the corresponding p-value (0.202) are both greater than the 1.63 X standard for significance. This indicates that there is not enough evidence to show that the variables are related.

c) Of 997 participants in girls' soccer, 79 experienced lower-extremity injuries. Of 1,664 participants in boys' soccer, 156 experienced lower-extremity injuries.

Girls = 79/997 × 100 = 7.92%

Boys = 156/1664 × 100 = 9.38%

The difference between the two percentages is consistent with the conclusion that there is no significant relationship between the gender of the athlete and the risk of lower-extremity injuries because the difference between the two percentages is small.

This indicates that the risk of lower-extremity injuries is relatively similar for both boys and girls, which is consistent with the conclusion that there is no significant relationship between gender and the risk of lower-extremity injuries.

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The complete question is:

Researchers studied a random sample of high school students who participated in interscholastic athletics to learn about the risk of lower-extremity injuries (anywhere between hip and toe) for interscholastic athletes. Of 997 participants in girls' soccer, 79 experienced lower-extremity injuries. Of 1,664 participants in boys' soccer, 156 experienced lower-extremity injuries.

(a) Write null and alternative hypotheses about sex and the risk of a lower-extremity Injury while playing interscholastic soccer.

A. Null hypothesis: Sex and risk of a lower-extremity injury in interscholastic soccer are related variables. Alternative hypothesis: Sex and risk of a lower-extremity Injury in interscholastic soccer are not related variables.

B. Null hypothesis: Sex and risk of a lower extremity injury in interscholastic soccer are explanatory variables. Alternative hypothesis: Sex and risk of a lower-extremity injury in interscholastic soccer are not explanatory variables.

C. Null hypothesis: Sex and risk of a lower extremity injury in interscholastic soccer are not explanatory variables. Alternative hypothesis: Sex and risk of a lower-extremity injury in interscholastic soccer are explanatory variables.

D. Null hypothesis: There is a weak relationship between sex and risk of a lower-extremity injury in interscholastic soccer. Alternative hypothesis: There is a strong relationship between sex and risk of a lower-extremity injury in interscholastic soccer

E. Null hypothesis: Sex and risk of a lower-extremity injury in interscholastic soccer are not related variables. Alternative hypothesis: Sex and risk of a lower-extremity injury in interscholastic soccer are related variables.

(b) For these data, the value of the chi-square statistic is 1. 63, and the p-value for the chi-square test is 0. 202. Based on these results, state a conclusion about the two variables in this situation and explain how you came to this conclusion. The p-value is greater than the 1. 63 X standard for significance, so there is not sufficient evidence to be able to conclude that the variables are related.

(c) For each sex separately, calculate the percent of participants who had a lower-extremity injury. (Round your answers to one decimal place. ) girls 7.9% boys 9.4%. Explain how the difference between these percentages is consistent with the conclusion you stated in part (b). These percentages are fairly similar , which suggests that sex and risk of a lower-extremity injury in interscholastic soccer are not related

Answer:

Step-by-step explanation:

20

Answer: KL IS 3 + 9 THEN 5 MINUS NINE

Step-by-step explanation: FIND KL

Answer:

x = 3

Step-by-step explanation:

8.4 ÷ 6 = 1.4

4.2 ÷ 1.4 = 3

Answer:

95%

i think it should be that

Answer:

No, the point (1, 3) doesn't lie on the line y=2x+4.

Step-by-step explanation:

When you substitute x with 1 and y with 3, the numbers do not equal each other once you solve the problem.

\(3=2(1)+4\)

\(-4\)           \(-4\)

------------------

\(-1\) ≠ \(2\)

Answer:

18,223 feet

Step-by-step explanation:

y= -16t^2 + 608t + 12,447.

y = -16(t² - 38t) + 12447

y = -16[t² - 2(t)(19) + 19² - 19²] + 12447

y = -16(t - 19)² - 16(-19²) + 12447

y = -16(t - 19)² + 18223

Vertex: (19, 18223)

Max height is 18,223 at t = 19

The parabolas are:

a = -16

b = 608

c = 12,447

x_v = -b/2a

t_v = -608/2(-16)

t_v = -608/-32

t_v = 19

Plug in t_v = 19 to find y_v

y = -16(19)^2 + 608(19) + 12,447

y = -16(361) + 11,552 + 12,477

y = -5,776 + 11,552 + 12,477

y = 18,253

We have the point (19, 18,253)

The max height is at 18,253 when t = 19

Best of Luck!

The rewritten expression involves the first power of cosine (cos^1(x)) and other terms based on trigonometric identities. sin^4(x) = 1 - 2cos^2(x) + cos^4(x).

To rewrite the expression sin^4(x) in terms of the first power of cosine, we can use the formulas for lowering powers. The rewritten expression will involve the first power of cosine and other terms based on trigonometric identities.

Using the formulas for lowering powers, we can rewrite sin^4(x) in terms of the first power of cosine. The formula used for this purpose is:

sin^2(x) = (1 - cos(2x))/2

By substituting sin^2(x) in the above formula with (1 - cos^2(x)), we get:

sin^4(x) = [1 - cos^2(x)]^2

Expanding the expression, we have:

sin^4(x) = 1 - 2cos^2(x) + cos^4(x)

Now, we can rewrite the expression in terms of the first power of cosine:

sin^4(x) = 1 - 2cos^2(x) + cos^4(x)

The rewritten expression involves the first power of cosine (cos^1(x)) and other terms based on trigonometric identities. This transformation allows us to express the original expression in a different form that may be more convenient for further analysis or calculations involving trigonometric functions.

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Answer:

r = \(\frac{1}{5}\)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + \(\frac{1}{5}\) )² + (y - \(\frac{2}{5}\) )² = \(\frac{1}{25}\) ← is in standard form

with r² = \(\frac{1}{25}\) , then

r = \(\sqrt{\frac{1}{25} }\) = \(\frac{1}{5}\)

The radius of the circle is, r = 1/5 units.

An equation of circle with center (h, k) and radius 'r' is,

(x - h)²+(y - k)² = r²

For given example,

the equation of the circle is, (x+1/5)^2+(y-2/5)^2=1/25

By comparing with standard equation of circle (x - h)²+(y - k)² = r²,

we have h = -1/5, k = 2/5 and r² = 1/25

We need to find the radius of the circle,

r² = 1/25

By taking square-root,

we have r = 1/5 units

Therefore, the radius of the circle is r = 1/5 units.

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Answer: The cost of the 4 pairs of Nikes is $257.68. Each pair cost $64.42.

Step-by-step explanation:

First, I did 120 times $9.00 for the total cost of all the peaches.

120 times $9.00 = $108

Second, I subtracted the $108 from $365.68, so I could get the total price for the 4 pairs of Nikes.

$365.68 - $108 = $257.68

Last, I divided $257.68 by 4, so I could get the cost for each pair of Nikes.

$257.68 divided by 4 = $64.42

Therefore,

The cost for the peaches is $108.

The cost for all the Nikes is $257.68

The cost for each pair of Nikes is $64.42

,  Hope this helps :)

Have a great day!!

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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If we are standing at a personal distance from someone, you are typically 18 inches to 4 feet apart. This range allows for comfortable interaction while still maintaining a sense of personal space.

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If you are standing a personal distance from someone, you are typically 18 inches to 4 feet apart. This range is commonly referred to as the "personal space" or "social distance" zone.

personal distance can vary depending on cultural norms and individual preferences. However, in general, this distance is considered a comfortable distance for conversation and interaction with friends, family, and acquaintances.

If you are standing closer than 18 inches, it is considered the "intimate distance" zone and typically reserved for romantic partners or close family members. If you are standing farther than 4 feet, it is considered the "public distance" zone and typically used for formal interactions or public speaking.

the distance between you and someone else when standing a personal distance away is typically between 18 inches to 4 feet. However, it is important to remember that personal distance can vary and be influenced by cultural norms and individual preferences. This long answer provides a comprehensive explanation of personal distance and its various zones.

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The monthly payment is  $86.55. The result is obtained by using the formula for simple interest.

The simple interest of an amount of money can be counted by the following formula.

I = P × r × t

Where

A motocross company offers a loan to buy an ATV for $4,000. Loan Offer 9.3% Simple Interest.

If it is for 6 years, find the monthly payment!

We have

It is not mentioned that the simple interest apply per year or per month. We assume the simple interest is per year. It will be

I = P × r × t

I = $4,000 × 9.3% × 6

I = $2,232

The total money to be paid will be

A = P + I

A = $4,000 + $2,232

A = $6,232

The monthly payment is

MP = A/t

MP = $6,232/(6 × 12)

MP = $6,232/72

MP = $86.55

Hence, the person who borrows for $4,000 to buy an ATV should pay $86.55 each month for 6 years.

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