Examine the graph where JKL is similar to ONM.

What is the slope of this line?

The statement "if the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other" is true. The dot product of two vectors is zero if and only if the vectors are perpendicular.

The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them. When the dot product is zero, it means that the cosine of the angle between the vectors is zero, which occurs when the vectors are perpendicular.

In other words, the dot product being zero indicates that the vectors are at a 90-degree angle to each other, supporting the statement that they are perpendicular.

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The mean () of the test is 150, while the standard deviation () is 25. In the case of a normal distribution, your z score would be: z = (x - ) / = (190 – 150) / 25 = 1.6.

A Z-score of 0 implies that the data point’s value is the same as the mean score. A Z-score of 1.0 indicates that the result is one standard deviation from the mean. The z-scores’ mean is always 0. The z-scores’ standard deviation is always 1. The z-score distribution graph always has the same form as the original sample value distribution graph. The total of the squared z-scores equals the number of z-score values.

z = (x – μ) / σ

z=\(\frac{(190-150}{25} = 1.6\)

Take the raw data, remove the mean, then divide by the standard deviation to get the z-score. The data point of interest is represented by X. Mu and sigma reflect the population’s mean and standard deviation.

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18 mm is the height of the cone.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

We can use the formula for the volume of a cone to solve for the height:

V = (1/3)πr²h

where V is the volume, r is the radius, and h is the height.

Substituting the given values, we have:

1884 = (1/3)π(10²)h

Simplifying, we get:

h = 1884 / [(1/3)π(10²)]

h ≈ 18

Therefore, the height of the cone is approximately 18 mm.

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Complete question:

the volume of this cone is 1,884 cubic millimeters. What is the height of this cone when the radius is 10 mm? Use 3.14 and round your answer to the nearest hundredth

John made at the end $357 for building cabinets

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Total money will be as follow:

Total = 36*$8.50 + 17*$3

Total = $306+$51

Total = $357

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W is a subset of span(w), and span(w) is closed under vector addition, scalar multiplication, and contains the zero vector, we know that w must also have these properties. Therefore, w is a subspace of v.

To show that a subset w of a vector space v is a subspace of v if and only if span(w) = w, we need to prove both directions of the equivalence:

First, we'll assume that w is a subspace of v. In this case, we know that w is closed under vector addition and scalar multiplication, and that it contains the zero vector.

To show that span(w) = w, we need to prove two things:

span(w) is a subset of w: This is true by definition of span(w) - every vector in span(w) can be written as a linear combination of vectors in w, so it must be in w as well.

w is a subset of span(w): This is also true, because every vector in w is itself a linear combination of vectors in w (namely, itself with a coefficient of 1), so it is also in span(w).

Therefore, we have shown that span(w) = w.

Next, we'll assume that span(w) = w. In this case, we know that every vector in w can be written as a linear combination of vectors in w. We need to show that w is closed under vector addition and scalar multiplication, and that it contains the zero vector.

Let u, v be two vectors in w, and let c be a scalar. Then we can write:

\(u = a1w1 + a2w2 + ... + anwn\)

\(v = b1w1 + b2w2 + ... + bnwn\)

where w1, w2, ...,\(wn\) are vectors in w, and a1, a2, ..., an, b1, b2, ...,\(bn\)are scalars.

Then, we have:

\(u + v = (a1+b1)*w1 + (a2+b2)*w2 + ... + (an+bn)*wn\)

which is a linear combination of vectors in w, so u + v is in w.

Also, we have:

\(cu = c(a1w1 + a2w2 + ... + anwn) = (ca1)w1 + (ca2)w2 + ... + (can)*wn\)

which is also a linear combination of vectors in w, so c*u is in w.

Finally, since w is a subset of span(w), and span(w) is closed under vector addition, scalar multiplication, and contains the zero vector, we know that w must also have these properties. Therefore, w is a subspace of v.

Therefore, we have shown both directions of the equivalence, and proved that a subset w of a vector space v is a subspace of v if and only if span(w) = w.

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Answer:

\(sin^2(\pi/4)+cos^2(\pi/4)=1\)

Step-by-step explanation:

Notice that you don't need to evaluate the actual sin and cos functions, since you are in the presence of a well known Pythagorean identity that states that this type of addition of squares for the same angle should equal 1:

\(sin^2(x)+cos^2(x)=1\)

So, as long as the angle "x" is the same in both trig functions, this addition should render "1" (one).

Because in this case the angle involved is the same (in both cases pi/4), the identity is valid.

The table that represents a function is:

A function is an expression that represents the relationship between two variables. The variables in this case are the dependent and independent variables.

To identify a function, you need to note that no variable of x should be equal to y.

The formular is represented this way: y = f(x). The table that satisfies this condition is the Y table.

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The number of ways the ribbons can be awarded in a race with "x" runners is x * (x-1).

The number of ways the ribbons can be awarded depends on the total number of runners participating in the 100-meter dash.

If there are "x" runners participating, the winner can be any one of the x runners, and the second-place runner can be any one of the remaining (x-1) runners.

Therefore, the number of ways the ribbons can be awarded is equal to the number of possible choices for the winner multiplied by the number of possible choices for the second-place runner.

Mathematically, this can be expressed as:

Number of Ways = x * (x-1)

For example, if there are 5 runners in the race, there are 5 ways to choose the winner. After selecting the winner, there are 4 remaining runners from which we can choose the second-place runner. So, in this case, the number of ways the ribbons can be awarded is:

Number of Ways = 5 * 4 = 20

In general, the number of ways the ribbons can be awarded in a race with "x" runners is x * (x-1).

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The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

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Answer: -1 \(\frac{5}{12}\)

Answer:

The 3rd term is 11

Step-by-step explanation:

The given parameters for the Arithmetic Progression, AP, are;

The ratio of the 7th term to the 10th term = (a + 6·d)/(a + 9·d) = -1

The 16th term = -15 = a + 15·d

The 3rd term= a + 2·d

From the 7th to the 10th term ratio, we have;

a + 6·d = -a - 9·d

2·a = -15·d

-2·a = 15·d...(1)

From the 16th term of the AP, we have;

-15 = a + 15·d =  a + -2·a = -a

a = 15

From equation (1), -2·a = 15·d, we have;

-2·a = -2 × 15 = 15·d

15·d = -2 × 15

d = -2 × 15/15 = -2

d = -2

The 3rd term = a + 2·d = 15 + 2 × -2 = 11

∴ The 3rd term = 11

The derivative of the function f(x) = (8x − x3)(4x 5) is f '(x) = 192x 5 - 32x 7.

To find the derivative of the function f(x) = (8x − x3)(4x 5) using the product rule, we will follow the steps below:

Identify the two functions that are being multiplied together. In this case, they are (8x − x3) and (4x 5).

Find the derivative of each of these functions individually. The derivative of (8x − x3) is (8 - 3x2) and the derivative of (4x 5) is (20x 4).

Use the product rule to find the derivative of the entire function. The product rule states that the derivative of the product of two functions is equal to the first function multiplied by the derivative of the second function, plus the second function multiplied by the derivative of the first function. In this case, we will plug in the functions and their derivatives that we found in steps 1 and 2:

f '(x) = (8x − x3)(20x 4) + (4x 5)(8 - 3x2)

Simplify the expression to find the final derivative:

f '(x) = 160x 5 - 20x 7 + 32x 5 - 12x 7

f '(x) = 192x 5 - 32x 7

So, the derivative of the function f(x) = (8x − x3)(4x 5) is f '(x) = 192x 5 - 32x 7.

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The number of double letter mutations would be 20*19*3*3 = 6840. This is because there are 20 letters in the sequence, and each letter can be mutated into one of the other three letters. Then, for each of those mutations, there are 19 other letters that can also be mutated, and each of those can be mutated into one of the other three letters.

The number of DNA sequences that are exactly 20 letters long can be calculated using the formula 4^n, where n is the length of the sequence. So for a sequence that is 20 letters long, the number of DNA sequences would be 4^20 = 1,099,511,627,776.

For a DNA sequence of length 20, the number of single letter mutations would be 20*3 = 60. This is because there are 20 letters in the sequence, and each letter can be mutated into one of the other three letters (for example, an A can be mutated into a C, G, or T).

For a DNA sequence of length 20, the number of double letter mutations would be 20*19*3*3 = 6840. This is because there are 20 letters in the sequence, and each letter can be mutated into one of the other three letters. Then, for each of those mutations, there are 19 other letters that can also be mutated, and each of those can be mutated into one of the other three letters.

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Answer:

7 minutes

Step-by-step explanation:

1 kilometer / 7.2 minutes

x kilometers/ 50.4 minutes

cross-multiply

x*7.2 = 1*50.4

divide by 7.2 both sides

x= 50.4/7.2= 7 minutes

Answer:

Your answer (x + 4)2 =-11 x + 4)2 13 x + 4)221 Correct answer.

W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

To show that W=Rn, we need to show that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W.

Let v be any vector in Rn. Since the n non-zero orthogonal vectors span W, we can write v as a linear combination of them:

v = c1v1 + c2v2 + ... + cnvn

where c1, c2, ..., cn are scalars, and v1, v2, ..., vn are the n non-zero orthogonal vectors that span W.

To show that v is in W, we need to show that v is orthogonal to all vectors in W except itself. Since the n non-zero orthogonal vectors are linearly independent, any linear combination of them that is orthogonal to v must be the zero vector.

Therefore, if w is any vector in W that is not equal to v, we have:

=  = c1 + c2 + ... + cn = 0

since v is orthogonal to all the non-zero orthogonal vectors. This means that v is orthogonal to all vectors in W except itself.

Therefore, since v is in W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

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we don't have enough information to determine the exact lengths of the streamers or the distance from the center of the floor to where the second streamer is attached.

Sure, I'd be happy to help! Based on the information you provided, we know that Belle is hanging two streamers of different lengths at the peak of the ceiling for her brother's surprise birthday party. The center of the floor is directly underneath the ceiling peak.

We also know that the distance along the floor from the center of the room to where the first streamer is attached is 6 feet.

Since the second streamer is attached to the floor further from the center of the floor than the first streamer, we can infer that the second streamer is longer than the first streamer.
I hope this helps! Let me know if you have any other questions.

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Answer:

Option D is the correct answer.

Step-by-step explanation:

I just know.

1. The variable is qualitative or quantitative is the variable is qualitative because it is an attribute characteristic (option d). 2. The quantitative variable is discrete or continuous is the variable is discrete because it is countable (option d).

The variable "Hair color" is qualitative because it represents an attribute characteristic rather than a numerical measure. It refers to the different categories or qualities of hair color, such as blonde, brown, black, or red. It is not based on a numerical scale or measurement. Therefore, the correct answer is D) The variable is qualitative because it is an attribute characteristic.

The variable "Number of members present at a meeting" is discrete because it is countable and takes on distinct, separate values. It cannot take on any value between the integers, and there are no fractions or decimals involved. The number of members present can only be whole numbers, such as 0, 1, 2, 3, and so on. Therefore, the correct answer is D) The variable is discrete because it is countable.

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Answer:

12y

Step-by-step explanation:

remove unnecessary paranthese

(6y)x2 - 6yx2

calculate the product

12y

Hope this helps <3 !!!! I would really appreciate a brainliest

The sum of the infinite geometric sequences is 15.75.

A geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number, called the common ratio. In this case, the common ratio of the given geometric sequence is 0.1.

To find the sum of an infinite geometric sequence, we can use the formula:

Sum = \(\frac{a}{1-r}\)

Where a is the first term of the sequence and r is the common ratio.

Substituting the values into the formula, we get:

Sum =\($\frac{15}{1-0.1}=\frac{15}{0.9}=15\times \frac{1}{0.9}=15\times 1.11111111...=15.75$\)

Therefore, the sum of the infinite geometric sequence is 15.75.

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Answer:

No, Jeremy can not find the cost of the sneakers by adding the percents, you have to math one sale discount at a time.

The answer is $45.90.

Step-by-step explanation:

You have to multiply $60 by 15%, getting $9. Subtract 9 from 60 and get the first discount price: $51. Then you will multiply 51 by `10% and get 5.1, subtract 5.1 from 51 and get your final sale price of $45.90. If you added the percents together you would get an incorrect value of $45. Close but not the correct answer.

Answer:

here's the answer,hope it helps<3

Answer: a

Step-by-step explanation: i took the test

In parallelogram JKLM, m∠L exceeds m∠M by 30 degrees. The sum of all interior angles of a parallelogram equals to 360°.As the opposite angles in a parallelogram are equal, the measure of angle L and M are equal, which can be represented as x degrees each.The sum of angles L and M can be written as 2x degrees.

It can also be expressed as follows; m∠L + m∠M = 2x degreesIt is also given in the question that m∠L exceeds m∠M by 30 degrees. Therefore,m∠L = m∠M + 30 degreesSubstitute m∠M + 30 degrees in place of m∠L in the equation above to obtain: 2x = m∠M + (m∠M + 30°)2x = 2m∠M + 30°2m∠M = 2x - 30°m∠M = x - 15°Now that we know the measure of angle M, we can find the measure of angle K as follows;m∠K = 180° - m∠Mm∠K = 180° - (x - 15°)m∠K = 195°We can also find the measure of angle J as follows;m∠J = 180° - m∠Lm∠J = 180° - (m∠M + 30°)

we can say:m∠K + m∠M + 30° = 180°m∠K + m∠M = 150°Substitute 195° in place of m∠K in the equation above to get:195° + m∠M = 150°m∠M = 150° - 195°m∠M = -45°We can see that x is less than 15°, but an angle can't be negative. Therefore, this is impossible and there is no solution to this problem.ANSWER: There is no solution to this problem.

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The answer is scalene

Answer:

174 homes

Step-by-step explanation:

152+22

simplify to get your answer:

174