If the radius of a circle is 16 cm. What is the circumference? Use 3.14 for n
100.48
50.24
803.84
25.12

Answer:

21.9%

Step-by-step explanation:

Percent error = amount of error/actual amount

320 - 250 = 70

70/320 (division) = 0.21875

percent = 21.875%

Rounding to nearest tenth = 21.9%

Your answer should be 21.9%, so I hope this helps!

Answer:

22%

Step-by-step explanation:

The person walks for 39 minutes.

To solve this problem, we can create a system of equations based on the given information.

Let's denote the distance walked as "w" and the distance run as "r". We know that the total distance traveled is 5 km, so we can write the equation w + r = 5. Additionally, we can use the formula distance = speed × time to relate the distances and speeds to the time taken for each segment of the journey.

Using the given speeds of 5 km/h and 12 km/h, we can set up two more equations to represent the time taken for walking and running. Finally, we can solve the system of equations to find the distance run and the time spent walking.

(a) Let's denote the distance walked as "w" and the distance run as "r". We know that the total distance traveled is 5 km, so we can write the equation:

w + r = 5

We can also use the formula distance = speed × time to relate the distances and speeds to the time taken for each segment of the journey. The person walked at 5 km/h, so the time taken for walking is given by:

w/5 = t1

The person ran at 12 km/h, so the time taken for running is given by:

r/12 = t2

(b) To find the distance run, we need to solve the system of equations. From equation 1, we have w + r = 5. Solving for r, we get r = 5 - w. Substituting this into equation 3, we have:

(5 - w)/12 = t2

From equation 2, we have w/5 = t1. Since the person arrived home at 6:09pm, the time taken for walking is 39 minutes (0.65 hours). Substituting this into equation 2, we get:

w/5 = 0.65

Solving these equations simultaneously, we can find the value of w. Once we have w, we can calculate the distance run by substituting it into r = 5 - w.

(c) To find the time spent walking, we already know the value of t1 from equation 2. It is 39 minutes (0.65 hours).

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Okay, let's evaluate the upper and lower sums for this function with n = 8 intervals:

1) Find the interval size: = /n = /8 =

2) Evaluate the function at the endpoints of 8 intervals:

f(0) = 2 + sin(0) = 2

f() = 2 + sin() = 3

f(/8) = 2 + sin(/8)

f(2/8) = 2 + sin(2/8)

f(3/8) = 2 + sin(3/8)

f(4/8) = 2 + sin(4/8)

f(5/8) = 2 + sin(5/8)

f(6/8) = 2 + sin(6/8)

f(7/8) = 2 + sin(7/8)

3) Upper sum:

U = 2 + (2 + 3)/2 + (2 + 2 + sin(2/8))/2 + (2 + 2 + sin(3/8) + sin(4/8))/2 + (2 + 2 + sin(5/8) + sin(6/8) + sin(7/8))/2

= 14 + 1.79 + 2.5 + 3 + 3.5 = 24.79

4) Lower sum:

L = 2 + (2 + 2)/2 + (2 + 2 + 2)/2 + (2 + 2 + 2 + 2)/2 + (2 + 2 + 2 + 2 + 3)/2

= 14 + 2 + 2 + 2 + 4 = 24

So the upper sum is 24.79 and the lower sum is 24.

Let me know if you need more details!

Answer:

false

Step-by-step explanation:

Answer:

no, its false

Step-by-step explanation:

To find the counterclockwise circulation of the vector field C around the triangle with vertices (0, 0), (1, 0), and (1, 4), we can break it down into three line integrals along each side of the triangle.

1. Line integral along the line segment from (0, 0) to (1, 0):

We parameterize this line segment as r(t) = (t, 0) for t ranging from 0 to 1.
The differential vector dr(t) = (dt, 0).

The circulation along this line segment can be calculated as:

C1 = ∫C F · dr = ∫[from 0 to 1] (xy dx + x²y³ dy) · (dt, 0) = ∫[from 0 to 1] (t * 0) dt = 0.

2. Line integral along the line segment from (1, 0) to (1, 4):

We parameterize this line segment as r(t) = (1, t) for t ranging from 0 to 4.

The differential vector dr(t) = (0, dt).

The circulation along this line segment can be calculated as:

C2 = ∫C F · dr = ∫[from 0 to 4] (xy dx + x²y³ dy) · (0, dt) = ∫[from 0 to 4] (0 + t⁴) dt = ∫[from 0 to 4] t⁴ dt = (1/5) * t⁵ [from 0 to 4] = (1/5) * (4⁵) = 102.4.

3. Line integral along the line segment from (1, 4) to (0, 0):

We parameterize this line segment as r(t) = (1 - t, 4 - 4t) for t ranging from 0 to 1.

The differential vector dr(t) = (-dt, -4dt).

The circulation along this line segment can be calculated as:

C3 = ∫C F · dr = ∫[from 0 to 1] (xy dx + x²y³ dy) · (-dt, -4dt) = ∫[from 0 to 1] (-t(1 - t) dt - (1 - t)²(4 - 4t)³ * 4dt) = ∫[from 0 to 1] (-t + t² - 4(1 - t)²(4 - 4t)³) dt.

To calculate C, we need to add up C1, C2, and C3:
C = C1 + C2 + C3 = 0 + 102.4 + ∫[from 0 to 1] (-t + t² - 4(1 - t)²(4 - 4t)³) dt.

To find the final value of C, we need to evaluate the remaining integral..

However, since the integrand involves higher powers and nested functions, it might not have a simple closed-form solution.

You can evaluate the integral using numerical methods or a computer algebra system for a more precise result.

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The line integral of $C$ over the given triangle is $2 + \frac{16}{5} + \frac{64}{7}$.

The line integral of $C$ over the given triangle is equal to the integral of the function $Cxy\,dx + x^2y^3\,dy$ over the curve $C$, where $C$ represents the counterclockwise path around the triangle with vertices $(0, 0)$, $(1, 0)$, and $(1, 4)$.

To evaluate this line integral, we need to parametrize the curve $C$. Since $C$ is a triangle, we can split it into three line segments.

First, let's consider the line segment from $(0, 0)$ to $(1, 0)$. We can parametrize this segment as $x = t$ and $y = 0$, where $t$ ranges from 0 to 1.

Next, we have the line segment from $(1, 0)$ to $(1, 4)$. We can parametrize this segment as $x = 1$ and $y = 4t$, where $t$ ranges from 0 to 1.

Finally, we consider the line segment from $(1, 4)$ to $(0, 0)$. We can parametrize this segment as $x = 1 - t$ and $y = 4(1 - t)$, where $t$ ranges from 0 to 1.

Now, we can substitute these parametric equations into the line integral expression:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = \int_{0}^{1} (t)(0)\,dt + (t^2)(0)^3(0)\,dt + \int_{0}^{1} (1)(4t)\,dt + (1^2)(4t)^3\,dt + \int_{0}^{1} (1 - t)(4(1 - t))\,dt + (1 - t)^2(4(1 - t))^3\,dt\]

Simplifying this expression, we get:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = \int_{0}^{1} 4t\,dt + \int_{0}^{1} 64t^3\,dt + \int_{0}^{1} 4(1 - t)(1 - t)^2(4(1 - t))^3\,dt\]

Evaluating each integral, we find:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = 2 + \frac{16}{5} + \frac{64}{7}\]

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A circle is a shape formed by a point moving in a plane while keeping the same distance from a fixed point. The measurement of angle EDF is 23 degrees.

To start, a circle is a shape that is created by a point moving in a plane while its distance from a fixed point remains constant. This fixed point is called the center of the circle.

Since we know that angles created by the same chord in a circle are equal, we can use this information to find the measure of angle EDF.

In this case, EF is the chord of the circle, and we are given that angle EGF measures 23°. Therefore, we can conclude that angle EDF must also measure 23° since it is created by the same chord EF.

Thus, we can say that the size of angle EDF is 23°.

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Complete question is the image attached below

Answer:

It is correct because the smallest one is 3 the second one all together is 15 and the last one is 60.

Step-by-step explanation: Basically you can divide the 60 with 15 and you can divide 60 with 3.

60/15 = 4

60/3 = 20

and 4 can go in to 20 5 times so yeah.

And I hope I helped you out.

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer:

A.18cm

Step-by-step explanation:

hope it can help

goodluck

To determine which of the two graphs (Boxplot and Histogram) shows an outlier in the distribution of the quantitative variable, we need to understand the characteristics of outliers in each type of graph.

An outlier is a data point that significantly deviates from the rest of the data in a distribution. Here's how outliers are represented in Boxplots and Histograms:

a) Boxplot only: If an outlier exists in the distribution, it will be shown as a separate data point outside the whiskers (the lines extending from the box) in the Boxplot. The Boxplot provides a visual representation of the quartiles and any outliers present.

b) Both Histogram and Boxplot: If an outlier exists in the distribution, it may be evident in both the Histogram and the Boxplot. The Histogram shows the frequency or count of data points in each bin or interval, and an outlier can be observed as an extreme value far from the majority of the data. In addition, the Boxplot will display the outlier as mentioned above.

c) Neither: If there are no outliers in the distribution, neither the Histogram nor the Boxplot will show any data points or indicators outside the expected range. The data points will be distributed within the usual range of the distribution, and no extreme values will be present.

d) Histogram only: In some cases, an outlier may be noticeable in the Histogram but not explicitly shown as a separate data point in the Boxplot. This can happen when the outlier is not extreme enough to be considered as an outlier based on the specific criteria used to determine outliers in the Boxplot.

Without examining the actual graphs or having specific information about the data, it is not possible to determine with certainty which option (a, b, c, or d) is correct. To make a definitive determination, you would need to analyze the graphs and assess the presence of extreme values that deviate significantly from the majority of the data.

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(2;-2)

therefore the coordinates of the mi

Step-by-step explanation:

X=(X+X)/2

X=(-1+5)/2

X=2

y=(y+y)/2

y=(1-5)/2

y=-2

therefore the coordinates of the midpoint is (2;-2)

By examining the possible mappings of elements in Z8 to elements in Z20, we can identify all the group homomorphisms between the two groups.

The group Z8 consists of the integers modulo 8, {0, 1, 2, 3, 4, 5, 6, 7}, under addition. The group Z20 consists of the integers modulo 20, {0, 1, 2, 3, ..., 18, 19}, under addition.

To determine the group homomorphisms from Z8 to Z20, we need to find functions that satisfy the homomorphism property, which states that for any two elements a and b in Z8, their sum under the function should be equal to the sum of their images under the function.

Let's denote the elements of Z8 as a and the elements of Z20 as b. We can examine all possible mappings of a to b and check if they satisfy the homomorphism property.

Since Z8 has 8 elements and Z20 has 20 elements, there are 20 possible images for each element in Z8. However, not all of these mappings will be homomorphisms. To be a homomorphism, the mapping must preserve the group structure, meaning that the sum of the images of two elements in Z8 should be equal to the image of their sum.

By examining all possible mappings and checking if they satisfy the homomorphism property, we can identify all the group homomorphisms from Z8 to Z20. These mappings will provide the correspondence between the elements of Z8 and Z20 that preserve the group structure.

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The rule of the mean is

We will find the sum of the given numbers, then divide it by how many numbers

The given numbers are

4, 8, 14, 7, 0, 8, 2, 10, 3, 12

Their sum = 68

There are 10 numbers, then

To find the median we have to arrange the numbers from smallest to greatest, then take the middle number

0, 2, 3, 4, 7, 8, 8, 10, 12, 14

Since there are 10 numbers, then there are 2 numbers in the middle

Then we will find their average by adding them and dividing their sum by 2

The 2 middle numbers are the 5th and the 6th positions

The 2 middle numbers are 7 and 8

The answers are:

Sample mean = 6.8

The median = 7.5

The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

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About $786 billion will be spent at restaurants in 2017 if the trend continues.

We can use the formula for compound interest:

A = P(1 + r)^n

where:

A is the final amount

P is the initial amount

r is the annual interest rate

n is the number of years

In this instance, we're looking to determine how much will be spent at restaurants in 2017, which is 12 years from now, in 2005. The initial amount was $410 billion in 2005, and the yearly interest rate is 6%. We thus have:

A = 410(1 + 0.06)^12

A ≈ 786.34

Therefore, about $786 billion will be spent at restaurants in 2017 if the trend continues.

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  3/4÷ 2/3=   3/4*3/2= 9/8= mixed fraction 1  1/8 pounds.

simplify - maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.

______________

______________

\(\huge\red{\mid{\underline{\overline{\textbf{EQUATION}}}\mid}}\)

\(5+3 (5) + (-4) (5)\)

Follow our PEMDAS rule

\(5+3 (5) + (-4) (5)\\5+15-4\cdot5\\5+15-20\\20-20\\0\)

\(\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}\)

\(5+3 (5) + (-4) (5)\:\:\:\:simplified\:=0\)

David, Jeff, and Paula have (7d)/3 books.

To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:

1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.

Now, to find the total number of books for all three of them, we simply add the number of books each person has:

Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d

To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3

Now, we can simplify the expression:
Total books = (7d) / 3

So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.

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Step-by-step explanation:

Let the number of singing act be x

Let the number of comedy act be y

If the total act is 14, then;

x+y = 14..... 1

If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:

4.5x + 3.5y = 59 .......... 2

Solve both equation simultaneously for x and y

x+y = 14

45x+35y = 590

.................................

x+y = 14......... *9

9x+7y = 118....... 1

...............................

9x+9y = 126

9x+7y = 118

Subtract both equations

9y-7y = 126-118

2y = 8

y = 8/2

y = 4

Substitute y = 4 into equation 1;

From 1: x+y = 14

x+4 = 14

x = 14-4

x =10

Hence there are 10 singing acts and 4 comedy acts in the show

Answer:

Linear Regression: y = 0x + 2.67

Quadratic Regression: y = 1x^2 + 0x - 4

Step-by-step explanation:

USE STATS CALCULATOR

Answer: B: y-axis, because the x-coordinate is the opposite

Step-by-step explanation:

If the x coordinate is negative, it must have been reflected over the y axis.

likewise, if the y coordinate is negative, it must have been reflected over the x axes.

it should make intuitive sense :)

Answer:b

Step-by-step explanation:

The given subset {r, q, 7z} does not form a subgroup of the group C of complex numbers under addition. Since 0 is not explicitly mentioned in the subset S, it does not contain the identity element.

To determine whether a subset is a subgroup of a group, we need to verify three conditions:

Closure: The subset must be closed under the operation of the group.

Identity: The subset must contain the identity element of the group.

Inverses: For every element in the subset, its inverse must also be in the subset.

Let's analyze the given subset, which consists of elements:

S = {r, q, 7z}

Closure: To check closure, we need to verify that if we take any two elements from the subset and perform the addition operation (complex addition), the result is still within the subset.

Let's take two elements, a and b, from the subset S: a = r and b = q.

a + b = r + q

Since the sum of two complex numbers is still a complex number, the result of a + b is also within the set of complex numbers. Therefore, closure holds for the subset S.

Identity: The identity element of the group of complex numbers under addition is 0. We need to check if 0 is an element of the subset S.

Since 0 is not explicitly mentioned in the subset S, it does not contain the identity element. Therefore, the subset S does not satisfy the second condition.

Since the subset S fails to satisfy the second condition, it cannot be considered a subgroup of the group of complex numbers under addition (C).

To summarize, the given subset {r, q, 7z} does not form a subgroup of the group C of complex numbers under addition.

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Answer:

1,700 MG

Step-by-step explanation:

1, 360 / 2 = 40% of the daily amount since 20% is taken from the beans.

1360 / 2 = 680

680 (40%) / 2 = 340, which is 20%.

Then, add 20% (340) to 1, 360, which gives the full percentage.

Answer:

32

Step-by-step explanation:

18 +2(7).

2 x 7 = 14

18 + 14 = 32.

The principle can makes 4 groups with 7 girls and 8 boys.

The biggest number that divides each of the two or more numbers is known as the HCF, or highest common factor. The Greatest Common Measure (GCM) and Greatest Common Divisor are further names for HCF (GCD). The least common multiple, or LCM, is used to determine the smallest common multiple of any two or more numbers. LCM and HCM are two separate approaches.

According to the given statement ;

We are given that 28 girls and 32 boys volunteer to plant at a school.

The principle divided the girls and boys into identical groups that have girls and boys in each group.

We have to find that how much the principle can make greatest number of groups.

We will find HCF of 28 and 32

28= 2X2X7

32= 2X2X2X2X2

Highest common factor of 28 and 32 =2X2=4

Therefore, the principle can makes 4 groups with 7 girls and 8 boys.

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Answer:

Leah has 80 less paychecks than the weekly person.

Step-by-step explanation:

Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.