A thread is wound 200 times round a reel of diameter 5cm. Use the value 3 for pie to find the approximate length of the thread in metres.

Answer:

Your answer is:

(x+2)^2

Factor x2+4x+4

x2+4x+4

The middle number is 4 and the last number is 4.

Add together to get 4

Multiply together to get 4

2+2 = 4

2*2 = 4

(x+2)(x+2) or (x+2)^2

Answer: its b

Step-by-step explanation:

trusttt

B

Step-by-step explanation:

trusttt

The head start program provides a wide range of services to low-income children up to the age of 5 years and their families. Its goals are to provide services to improve social and learning skills and to improve health and nutrition status so that the participants can begin school on an equal footing with their more advantaged peers.

The distribution of ages for participating children is as follows 12% five-year-olds, 47% four-year-olds, 33% three-year-olds, and 8% under three years. When the program was assessed in a particular region, it was found that of the 215 randomly selected participants, 17 were 5 years old, 101 were 4 years old, 60 were 3 years old, 37 were under 3 years old. Perform a test to see if there sufficient evidence at αα = 0.10 that the region's proportions differ from the national proportions. The correct hypotheses are:H0:H0: The regional distribution is a good fit to the national distribution.HA:HA:

The regional distribution is not a good fit to the national distribution.(claim)The null hypothesis is represented by H0, which states that the regional distribution is a good fit to the national distribution.

The alternative hypothesis is represented by HA, which states that the regional distribution is not a good fit to the national distribution (claim).The distribution of ages for participating children in the national program is 12% for five-year-olds, 47% for four-year-olds, 33% for three-year-olds, and 8% for children under the age of three. The number of participants of a specific age range in the region differs from the national program.

The observed and expected frequencies are obtained below:| Age Range | Observed Frequency | Expected Frequency |5 | 17 | 26.1 |4 | 101 | 100.3 |3 | 60 | 71.1 |<3 | 37 | 17.6 |The expected frequency is computed from the national distribution as shown below;

Observed Frequency × (Total number of Participants /100) = Expected FrequencyWe can evaluate the goodness of fit using the chi-square distribution with k - 1 degrees of freedom, where k is the number of categories. We'll use α = 0.10 as the significance level for this test.The test value is 13.299.The p-value is 0.004.There is sufficient evidence at α=0.10 that the region's proportions differ from the national proportions.

The correct hypotheses are H0: The regional distribution is a good fit to the national distribution and HA: The regional distribution is not a good fit to the national distribution. The p-value is 0.004 and the test value is 13.299. There is sufficient evidence at α=0.10 that the region's proportions differ from the national proportions.

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Answer:

well its true

Step-by-step explanation:

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

The interval of convergence is (-√3, √3), which means the series converges for all values of x within this interval.

To find the interval of convergence for the power series:

∑(k=1 to infinity)\([x^{2k-1}] / (3^k),\)

we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, the series converges.

Let's apply the ratio test:

\(\lim_{k \to \infty} |((x^{2(k+1)-1}) / (3^{k+1})) / ((x^{2k-1}) / (3^k))|\\= \lim_{k \to \infty} |(x^{2k+1} * 3^k) / (x^{2k-1} * 3^{k+1})|\\= \lim_{k \to \infty} |(x^2) / 3|\\= |x^2| / 3,\)

where we took the absolute value since the limit is applied to the ratio.

For the series to converge, we need the limit to be less than 1, so:

\(|x^2| / 3 < 1.\)

To find the interval of convergence, we solve this inequality:

\(|x^2| < 3,\\x^2 < 3,\\|x| < \sqrt{3} .\)

Therefore, the interval of convergence is (-√3, √3), which means the series converges for all values of x within this interval.

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Answer:

Linda is wrong

Step-by-step explanation:

27>24 just means 27 is greater than 24, but in this case, it does not matter. Ravi would have a more yellow color because there is less blue. The yellow would overpower the blue in both cases, but Ravi would have more of a yellow tint.

The Star Wars book has 50 pages.

Pages refers to the number of sheets of paper in the book on which the text is printed.

Let "x" be the total number of pages in the Star Wars book.

According to the problem, you read 30 pages, which is 60% of the book. So we can set up the following equation:

0.6x = 30

To solve for x, we can divide both sides by 0.6:

x = 30 ÷ 0.6

x = 50

Therefore, the Star Wars book has 50 pages.

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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30

Given the expression for the instantaneous voltage expressed as:

Given the following parameter:

θ = 30⁰

Substitute the given parameter into the formula to have:

Therefore the instantaneous voltage when θ = 30⁰ is 30.

Answer:

I believe it's the second one

As a leader, Jui-En tbelieve that he should change his behaviors to match the circumstances because no style works all the time. Jui-En is applying the socialized approach to leadership.

Employee motivation can be boosted by socialization, affirming reward, lead their vision, offer impressive benefits and encourage the temwork.

Employees who socialize who can sosialized in the workplace can increase their work efficiency because its reduce the work pressure by sharing information and teamwork which is important to thriving a company.

So, the correct answer is sosialized.

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The decay rate in the tennis tournament is 0.5. The answer is option a. 0.50.

To find the decay rate in this tennis tournament, we need to calculate the ratio of the number of players left after each round to the initial number of participants.

In round 1, there are 64 players left out of the initial 128, which is a ratio of 64/128 = 0.5.
In round 2, there are 32 players left out of the initial 128, which is a ratio of 32/128 = 0.25.
In round 3, there are 16 players left out of the initial 128, which is a ratio of 16/128 = 0.125.
In round 4, there are 8 players left out of the initial 128, which is a ratio of 8/128 = 0.0625.

The decay rate is the rate at which the number of players is decreasing.

We can see that in each round, the number of players is halved.

So, the decay rate is 0.5.

We calculated the ratio of the number of players left after each round to the initial number of participants. Then, we observed that the number of players is halved after each round, leading us to conclude that the decay rate is 0.5.
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Answer:

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

7squared - 3squared

49-9= 40

square root of 40 = 6.3

The common difference is 3.

14-11=3

11-8=3

8-5=3

5-2=3

You can see here that the difference between two consecutive numbers in this sequence are all 3.

Answer:

100 %

Step-by-step explanation:

n<13, you only have numbers from 1 to 12. This means that any number that you will pick will be less than 13

Answer:

Warm Up = C

Step-by-step explanation: to figure out what percepof something is you move the percentage over to spaces and add a decimal, and then you multiply it by what you’re trying to find the percentage of

When computing the elasticity of demand for the given demand equation, we get ε = [dp/dx * x/p]

Given the equation for the demand p = 148 - x² and given the price p = 296/3

We know that demand is elastic when the absolute value of ε > 1, inelastic when the absolute value of ε < 1, and unitary when the absolute value of ε = 1.

Thus, let us first compute the derivative of p with respect to x as follows dp/dx = -2x

Next, let us substitute the given price p, and then solve for x in the equation p = 148 - x²:296/3 = 148 - x²

x² = 148 - 296/3x² = 296/3

Thus, x = ± sqrt(296/3)

Now, we will substitute this value of x into the expression for the elasticity of demand to determine the elasticity of demand.

ε = [dp/dx * x/p]

For x = sqrt(296/3), ε = [-2(sqrt(296/3)) / (148 - (296/3))]

ε = -1.030

Since the absolute value of ε > 1, the demand is elastic. Therefore, the given demand is elastic at a price of 296/3.

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Answer:

My answer is B and C

Step-by-step explanation:

If you put B in the same dimension, all the sides are equal. Similarly for part C, since the sides are the same, the base of the triangles are the same lengtg

Answer: 8 1/8

Step-by-step explanation:

Answer:

A = 8

B = 6

C = 4

D = 7

Top = 29

Side = 20

Step-by-step explanation:

To get A on the bottom side row you divide 32 by 4 and get 8.

To get D, on the first side row, subtract A, 8, now it's 21, 21 divided by 3 is 7.

To get B, on the first top row, subtract A and D, now divide by 2 and you get 6.

To get C, on the third side row, subtract B and divide by 2 and you get 4.

The value of x on the circle is x = 12

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

The intersecting secant on the line

Using the theorem of intersectiong secant, we have:

(4 + 6) * 6 = x * 5

Evaluate the sum

This gives

10 * 6 = x * 5

Divide both sides by 5

So, we have the following representation

x = 60/5

Divide

x = 12

Hence, the solution is x = 12

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The system of Inequality for the given graph is;

2x + 3y ≥ 12

3x - 5y ≥ 15

Inequalities that use < or > symbols are always plotted with a dashed line while Inequalities that use ≤ or ≥ symbols are always plotted with a solid line.

Now, if the shaded portion is above a dashed line, the the symbol is > but if it is shaded above a solid  line, then the symbol is ≥. In this question, a solid line is used for both equations and shaded above the lines and so we will use ≥.

Equation of Line 1;

x-intercept = 6

y intercept = 4

Slope = -2/3

Thus, using the general equation of slope of line, the equation of this inequality is; 2x + 3y ≥ 12

Similarly, the equation of the second line will be;

3x - 5y ≥ 15

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Answer:

x = 3

Step-by-step explanation:

8x- 5= 19

8x= 19+5

8x= 24

x= 24/ 8

x= 3

By replacing each hexadecimal digit with its corresponding four binary digits, we obtain the binary representation of n.

To show that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits, we need to understand the number systems involved and the relationship between them.

The hexadecimal system is a base-16 number system, while the binary system is a base-2 number system. In the hexadecimal system, digits from 0 to 9 represent values from 0 to 9, and letters A to F represent values from 10 to 15. In the binary system, digits can only be 0 or 1.

To demonstrate the relationship between the two systems, let's take a positive integer and examine its hexadecimal and binary representations.

Let's consider a positive integer n and its hexadecimal representation:

n = (xn xn-1 ... x3 x2 x1 x0) base-16

In the hexadecimal representation, each digit represents a power of 16. The rightmost digit (x0) represents \(16^{0}\), the next digit (x1) represents \(16^{1}\), the next digit (x2) represents \(16^{2}\), and so on.

To obtain the binary representation of n, we can translate each hexadecimal digit into a block of four binary digits. The correspondence between the hexadecimal and binary digits is as follows:

Hexadecimal Binary

0 0000

1 0001

2 0010

3 0011

4 0100

5 0101

6 0110

7 0111

8 1000

9 1001

A 1010

B 1011

C 1100

D 1101

E 1110

F 1111

By replacing each hexadecimal digit with its corresponding four binary digits, we obtain the binary representation of n. Each hexadecimal digit represents a block of four binary digits, which aligns with the binary system's base-2 nature.

Therefore, we have shown that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.

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On solving the provided questyion, As a result, the answer to the given function issue is k = 0.01238 and 24,390 years.

One variable in a function is defined in terms of another. The phrase "Y is a function of x" (symbolized as y = y(x)) indicates that y varies according to the value that the x expression assumes. Despite the fact that it is usually asserted that "x causes y," this is not always the case.

Given :  t = 2005 -2000 = 5 years

a=6.124

Population  =a

\(6.515 = 6.124\\= > =6.515/ 6.124\\= > ln( 6.515/ 6.124 ) = 5k\\= > k = 0.01238\)

\(7.5 = 6.124\\= > = 7.5/ 6.124\\= > t = 150/280\\= > t =24,390 years.\\\)

Therefore , the solution to the given problem of function comes out to be

\(k = 0.01238 and 24,390 years.\)

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The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.

The "center" of circle is called as midpoint of diameter.

The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and

The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.

So, center of circle is (4,3),

The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:

⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.

⇒ distance = √((4 - 4)² + (9 - (-3))²)

⇒ √(144) = 12.

So, radius is 6.

The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,

Substituting the values

We get,

⇒ (x - 4)² + (y - 3)² = 6²,

⇒ (x - 4)² + (y - 3)² = 36,

Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.

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The equation that represents this word sentence is n-7 = 9

The value of n = 16

An algebraic expression can be defined as an expression that is composed of variables, terms, coefficients, constants and factors.

They are also made up of mathematical or sometimes called arithmetic operations, such as;

From the information given, we have that;

9 is the difference of a number n and 7.

This is represented as;

n - 7 = 9

Now, collect like terms

n = 9 + 7

Add the values

n = 16

Thus, the value is 16

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Answer:

w = 33/4 or  8 1/4

Step-by-step explanation:

-2w + 15= -3/2

Solve for w

Multiply each side by 2

-4w + 30 = -3

Subtract 30 from each side

-4w + 30 -30 = -3-30

-4w = -33

Divide by -4

-4w/-4 = -33/-4

w = 33/4

w = 8 1/4

Answer:

Step-by-step explanation: