The length of AB (the minor arc) is 20 cm. What is the circumference of OC?
A. 56 cm
B. 720 cm
C. 120 cm
D. 72 cm
E. 200 cm
F 360 cm.

For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.

In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:

(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.

To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:

||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.

For ||a||, we can use the same formula but with the coefficients of a:

||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.

Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:

(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.

To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:

||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.

Similarly, for ||v||, we use the formula with the coefficients of v:

||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.

Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.

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Since the LHS = RHS, the given identity has been prove:

1/2cosecsec = cosec²sec.

Trigonometry is used to estimate where to set the compass in order to obtain a straight line of direction. It will be simple to locate a location, determine distance, and observe the horizon with the use of a compass and trigonometric functions in navigation.

The Pythagorean identity and reciprocal identities can be used to demonstrate the specified identity:

Beginning with the left-hand side (LHS), we have the reciprocal identity cosec² = 1/sin²

Let's focus on the right side (RHS) now:

Reciprocal identities are 1/2cosecsec = 1/2(1/sin)(1/cos) and (1/2)/(sin/cos) = 1/(2sin/cos) = 1/sin². Cosec² is the Pythagorean identity.

Since the LHS = RHS, the given identity has been established:

1/2cosecsec = cosec²sec.

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The function f(x) = x² - 1/x + 1, with domain [0, ∞), does not have an absolute maximum on its domain, but this does not contradict the extreme value theorem.

The extreme value theorem states that if a real-valued function f is continuous on a closed interval [a, b], then f must have both an absolute maximum and an absolute minimum on that interval.

However, the theorem does not apply to functions that have an open interval as their domain, such as f(x) = x² - 1/x + 1 with a domain of [0, ∞).

In this case, f(x) approaches infinity as x approaches 0, but it does not have a maximum value within the given domain. The lack of an absolute maximum for f(x) on [0, ∞) is consistent with the behavior of the function, and it does not violate the extreme value theorem since the domain is not a closed interval.

Therefore, the function f(x) = x² - 1/x + 1, defined on [0, ∞), lacks an absolute maximum, but this does not violate the extreme value theorem.

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Answer:

x = 1.75

Step-by-step explanation:

Given

3.5(2.25 + x) = 14 ( divide both sides by 3.5 )

2.25 + x = 4 ( subtract 2.25 from both sides )

x = 1.75

Answer:

iho7v078f0

Step-by-step explanation:

In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.

Changing one score can have an impact on both the mean and the standard deviation of a set of data. The mean is the average of all the scores, so if one score changes, it can affect the overall mean. The standard deviation, on the other hand, measures the deviation of each score from the mean. If one score changes, it can also affect the standard deviation, as the deviation of that score from the mean will be different.

For example, let's say we have a set of scores: 2, 4, 6, 8, 10. The mean of these scores is 6, and the standard deviation is 2.86. If we change the score of 2 to a 12, the new set of scores will be 12, 4, 6, 8, 10. The new mean will be 8, and the new standard deviation will be 2.94. As you can see, changing one score influenced both the mean and the standard deviation.

In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.

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Answer:

20 square feet

Step-by-step explanation:

The length of a rectangular deck is five times it's width if the decks perimeter is 24 feet what is the decks area

Step 1

We find the Length and Width of the deck

Perimeter of a rectangle = 2L + 2W

The length of a rectangular deck is five times it's width

W = Width

L = Length = 5W

P = 24 feet

Perimeter = 2(5W) + 2W

24 = 10W + 2W

24 = 12 W

W = 24/12

W = 2 feet

Solving for L

L = 5W

L = 5 × 2 feet

L = 10 feet

Step 2

We find the area of the deck

Area of the deck(Rectangle) = Length × Width

= 10 feet × 2 feet

= 20 square feet

Answer:

o^5·4+3+2−5−4−322−10−1−2−3−4−5+6+1123+x^4·56

4o5+3+2−5−4−322−10−1−2−3−4−5+6+1123+56^4

4o5+5x^64+3+2−5−4−322−10−1−2−3−4−5+6+1123

4o5+56x^4+778

Step-by-step explanation:

yuuyegsgysugssggsyhdhdhvvdvrvrhrhhsgsceg

"Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers.

It is a true statement.

Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers. JJ's mother objects to a goal his IEP team recommended (to identify his ABCs) because he has worked on it for 10 consecutive years and has not mastered it.

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No, triangle ABC is not a right triangle. The equation of a line BC "y=x-11" is a line with slope of 1, which means it has an angle of 45 degrees with respect to the x-axis. The segment AB has a slope of 0, which means it is parallel to the x-axis. A right triangle's legs must be perpendicular, therefore a line with a slope of 1 and a line with a slope of 0 cannot be the legs of a right triangle.

A right triangle is a triangle in which one of the angles is 90 degrees. In order for a triangle to be a right triangle, the two sides (or legs) that form the 90-degree angle must be perpendicular to each other. Perpendicular lines have slopes that are negative reciprocals of each other.

In this case, the equation of the line segment AB is "y = -6", which means it is parallel to the x-axis. The slope of a line parallel to the x-axis is 0. On the other hand, the equation of the line BC is "y = x - 11", which means it has a slope of 1. A slope of 1 means that the line is at a 45 degree angle with respect to the x-axis.

Since the slopes of the two lines are not negative reciprocals of each other (0 and 1), the legs of the triangle cannot be perpendicular. Therefore, triangle ABC cannot be a right triangle.

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Answer:

There are 213.36 centimeters in 7 feet.

Step-by-step explanation:

It is given that:

1 inch = 2.54 cm

We have to find centimeters in 7 feet.

We will convert feet to inches.

1 feet = 12 inches

7 feet = 12*7 = 84 inches

Now,

1 inch = 2.54 cm

84 inches = 2.54 * 84

84 inches = 213.36 cm

Therefore,

There are 213.36 centimeters in 7 feet.

Based on the inscribed angle theorem, the value of x is: 126°.

The inscribed angle theorem states that, the measure of inscribed angle (63 degrees) equals half of the measure of central angle (x).

Thus, we would have:

63 = 1/2(x)

2(63) = x

126 = x

x = 126°

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True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.

In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.

In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.

The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.

If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.

If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.

Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.

Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.

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Required probability = 120 * 0.0010819 =  0.1298

total number of outcomes of 7 from 10 = 10*9*8 / 3*2*1  = 120

probability of each outcoe is 0.85^7* (0.15)^(3)  = 0.0010819

Required probability = 120 * 0.0010819 =  0.1298

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.

The best example for understanding probability is flipping a coin:

There are two possible outcomes—heads or tails.

What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.

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The mass of the original sample of phosphorus-32 was approximately 717.7 grams.

To solve this problem, we can use the radioactive decay formula:

A = Ao * 2^(-t/h)

Where:

A = resulting amount after time t

Ao = initial amount (at t=0)

t = time

h = half-life of the substance

In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.

After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:

55 = Ao * 2^(-57/14.28)

To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):

55 / 2^(-57/14.28) = Ao

Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.

Therefore, the initial mass, Ao, is:

Ao = 55 / 0.07666 ≈ 717.7 g

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Answer:

n = 4 and m = 3

Step-by-step explanation:

See answer below :)

Each tile has a surface area of 1 × 1 = 1 square foot since each tile is 1 foot long. As a result, the total mosaic's area is 49 x 1, or 49 square feet.

The overall area that a three-dimensional object's surface occupies is known as surface area. Square units like square inches, square meters, and square feet are used to convey it. By adding up the areas of all the object's faces or surfaces, surface area is determined. By summing the areas of the cube's six faces, for instance, it is possible to get the surface area of a cube.

given

There are 7 rows and 7 tiles in the mosaic, making a total of 7 x 7 = 49 tiles in the mosaic.

Each tile has a surface area of 1 × 1 = 1 square foot since each tile is 1 foot long.

As a result, the total mosaic's area is 49 x 1, or 49 square feet.

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The complete question is:-   Mark's window store made a mosaic for the community center. The mosaic had a 7 x 7 array of different color square tiles. If each tile is 1ft long, what is the area of the whole mosaic?

The slope - intercept form of a line is given by the equation:

In this case, we know that m=2 and y=5. So, the equation of this line will be:

To graph it, we need to plot two points and then join them both. These points could be:

Graphing:

Answer:

$14.00

Step-by-step explanation:

First take $20 and divide by 100. Then you multiply by 30 to get the reference which was $6. If the sweatshirt was $20 and the reference was $6, you would subtract $20 - $6 and get $14.

Answer: $14.00

Step-by-step explanation: First take $20 and divide by 100. Then you multiply by 30 to get the reference which was $6. If the sweatshirt was $20 and the reference was $6, you would subtract $20 - $6 and get $14.

Answer:

blue

Step-by-step explanation:

you have to multiply the length x width so 18x8 to get the area for the rectangle which is 144 and then multiply the base and the height then multiply that by 0.5 to get the area for the triangle so it will be 8x6=48 48x0.5=24 then add the area of the triangle to the area of the rectangle so 24+144=168

Answer:

28, 4 or 4, 28 (order doesn't matter, both are true answers)

Step-by-step explanation:

l + w = 32

l*w = 112

l = 112/w

112/w + w = 32

w = 28 or 4

l = 28 or 4

Answer:

4,28

Step-by-step explanation:

So let's look at the sentence to take any necessary information out. It says the length of a rectangle plus it's width is 32. Since we do not know what the length and width are, let's just represent them as L (length) and W (width). Using this information we get the equation: \(L + W = 32\) and since we're given the area of the rectangle, we can also define another equation which is: \(LW = 112\) since the length * width = area.

So now all we have is a systems of equations. We can solve for L or W in the area equation and plug it into the addition equation. We can also solve for L or W in the addition equation and then plug it into the area equation, either should work, but in this example I'll solve for L in the addition equation:

Original Equation:

\(L + W = 32\)

Subtract 32 from both sides

\(L = 32-W\)

Now let's use this definition of L to plug into the second equation:

\(LW = 112 \implies (32-W)W = 112\)

Distribute the W

\(-W^2+32W=112\)

Now if you notice, we simply have a quadratic equation and we can subtract 112 from both sides and then use the quadratic formula: \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Subtract 112 from both sides

\(-W^2+32W-112=0\)

Use quadratic formula

\(W = \frac{-32\pm\sqrt{32^2-4(-1)(-112)}}{2(-1)}\)

Simplify stuff in radical

\(W = \frac{-32\pm\sqrt{576}}{-2}\)

Calculate the square root

\(W=\frac{-32\pm24}{-2}\)

Use positive sign:

\(W=\frac{-32+24}{-2}\)

Simplify numerator

\(W = \frac{-8}{-2}\)

Simplify fraction

\(W=4\)

Take negative sign
\(W = \frac{-32-24}{-2}\)

Simplify numerator

\(W=\frac{-56}{-2}\)

W = \(28\)

So we have two solutions, and the reason for this is because had we solved for W in the original equation and substituted that into here, there would be no different, it's not bound by some variable name. So these are actually the two sides of the rectangles

4 + 28 = 32

4 * 28 = 112

4, 28

Step-by-step explanation:

3 ATM transactions $3.25×6=$19.50

service charge $8.00×6=$48.00

Total is $67.50

The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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Answer:

32.72 degrees

Step-by-step explanation:

This is an 11-gon

the sum of INTERIOR angles is (11-2) 180 = 1620

  so each interior angle = 1620 / 11 = 147.2727

     angle 1  is 180 - 147.2727 = 32.72 degrees

Answer:

∠ 1 ≈ 32.73°

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

the regular polygon has 11 exterior angles , then

∠ 1 = 360° ÷ 11 ≈ 32.73° ( to 2 dec. places )

The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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Answer:

x = -2

Step-by-step explanation:

Step 1: Write equation

5(x + 6) + 11 = 25 - 3x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

5(-2 + 6) + 11 = 25 - 3(-2)

5(4) + 11 = 25 + 6

20 + 11 = 25 + 6

31 = 31

Answer:

x=-8

Step-by-step explanation:

5x+30+11=

5x +41= 25-3x

5x+ 41-25= 25-25-3x

5x+16=3x

5x-5x= 3x-5x

16=-2x

16/-2=x

-8=x