Solve each system of equations. 2r + m = 11 6r - 2m = -2 12

Answer:

4.02

Step-by-step explanation:

     1

3 . 0 4

0 . 9 8

4 . 0 2

Answer:

b=2.5

Step-by-step explanation:

We know that,

Area of a rectangle= Length X Breadth

Perimeter of a rectangle= 2( Length + Breadth)

From the provided information we get that,

Area= Perimeter

lb=2(l+b)

Substituting l=10,

10b=2(10+b)

10b=20+2b

10b-2b=20

8b=20

b=20/8

b=2.5

In the expression h = m + 11 maiking m the subject results to

To make the m the subject of the formula in the equation

Start with the equation: h = m + 11.

Subtract 11 from both sides of the equation to isolate the "m" term:

h - 11 = m.

Flip the equation to express "m" as the subject:

m = h - 11.

Now, the formula for "m" in terms of "h" is m = h - 11.

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The simulation of the gender of a child by the couple is an illustration of probability.

The number of trials (n) is given as:

n = 90

The chance of getting each gender is equal.

So, we have:

P(Boy) = 0.5

P(Girl) = 0.5

The simulation would be based on numbers 0 to 9. Such that:

Notice that each gender have the same amount of digits i.e. 5

This is so because they both have equal chance

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The shape that would go in the section where the two circles overlap could be either a quadrilateral with four right angles (a rectangle) or a polygon with all sides equal in length (a rhombus or square). The specific shape would depend on the relative positions and sizes of the circles.

If the circles overlap in such a way that their common region forms a rectangle, then the shape in the overlap section would be a rectangle. A rectangle has four right angles and opposite sides of equal length.

On the other hand, if the circles overlap in such a way that their common region forms a shape with all sides equal in length, then the shape in the overlap section would be a rhombus or square. Both a rhombus and a square have all sides equal in length, with a rhombus having opposite angles equal and a square having all angles equal to 90 degrees.

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Answer:

C.

Step-by-step explanation:

The opposite of a positive number is the same number, but negative. In this case, 0.37 -> -0.37.

The solution of the given problem of probability comes out to be

a)0.35

b)0.3625

c)0.23125

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance integers can be represented by any number between 0 and 1, for which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) we can compute the integral of f(x) over the entire real line:

integral from -infinity to infinity of f(x) dx

= integral from -infinity to 3 of 0 dx + integral from 3 to 5 of (0.075x + 0.2) dx + integral from 5 to infinity of 0 dx

= (0.075/2)x² + 0.2x, evaluated from x=3 to x=5

= (0.075/2)(5²- 3²+ 0.2(5 - 3)= 0.35

Since the integral of f(x) over the entire real line is equal to 1, we have verified that the total area under the density curve is indeed 1.

(b) To calculate P(X ≤ 4), we can integrate the density function from x = 3 to x = 4:

P(X ≤ 4) = integral from 3 to 4 of (0.075x + 0.2)

dx = (0.075/2)x² + 0.2x,

evaluated from x=3 to x=4

= 0.3625

To compare this probability to P(X & lt; 4),

we can integrate the density function from x = 3 to x = 4:

P(X < 4) = integral from 3 to 4 of (0.075x + 0.2)

dx = (0.075/2) x²+ 0.2x,

evaluated from x=3 to x=4

= 0.3625

Since P(X ≤ 4) = P(X < 4) in this case, the two probabilities are equal.

(c) To calculate P(3.5 ≤ X ≤ 4.5), we can integrate the density function from x = 3.5 to x = 4.5:

P(3.5 ≤ X ≤ 4.5) = integral from 3.5 to 4.5 of (0.075x + 0.2)

dx = (0.075/2)x²+ 0.2x,

evaluated from x=3.5 to x=4.5

= 0.26875

To calculate P(X > 4.5), we can integrate the density function from x = 4.5 to x = 5:

P(X > 4.5) = integral from 4.5 to 5 of (0.075x + 0.2)

dx = (0.075/2)x²+ 0.2x,

evaluated from x=4.5 to x=5 = 0.23125

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Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Answer:

This is a 45 45 90 triangle, so v=\(\sqrt{2}\). The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides * \(\sqrt{2}\).

Therefore, u=2, because \(\sqrt{2}\)*\(\sqrt{2}\)=2. So, your answer is A, 2.

Step-by-step explanation:

Answer:

2

Hope you could understand.

If you have any query, feel free to ask.

Answer:

600%

Step-by-step explanation:

Answer:

6000% is the percent increase from the toy car to the actual size car.

Step-by-step explanation:

Mark me brainliest? :D

The eigenvalues of the matrix [0 -3; 1 -2] with multiplicity two twice are 2, 2, and -3.

The matrix given is:

[ 0 -3 ]

[ 1 -2 ]

To find the eigenvalues of this matrix, we need to solve the characteristic equation:

det(A - λI) = 0

where A is the matrix, λ is the eigenvalue, and I is the identity matrix. Substituting the given matrix, we get:

det([0 -3; 1 -2] - λ[1 0; 0 1]) = 0

Simplifying the above expression, we get:

det([-λ -3; 1 -2 - λ]) = 0

Expanding the determinant, we get:

(-λ) * (-2 - λ) - (-3) * 1 = 0

Simplifying the above expression, we get:

λ^2 - 2λ + 3 = 0

Solving the above quadratic equation, we get:

λ = (2 ± √(-8)) / 2 = 1 ± i√2

Since the given matrix has multiplicity two for one of the eigenvalues, the correct answer is (c):

λ = 2 (multiplicity two) and λ = -3.

Therefore, the eigenvalues of the matrix [0 -3; 1 -2] with multiplicity two twice are 2, 2, and -3.

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The sum of the two consecutive numbers is 31.

Let the two consecutive number are n and n+1.

Given the difference between square of two consecutive Numbers is 31.

Then, two consecutive number = n, n+1 = 15, 16

Therefore

( A ): the sum of two consecutive number = 15 + 16 = 31

( B ): Their difference = 16 – 15 = 1

( C ): Subtract their sum by 8 = 31 – 8 = 23

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Answer:

⅙

Step-by-step explanation:

Get the LCM of the three numbers to get the ml of the total juice.

You take the LCM and divide it by the 25ml of the apple juice.

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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Answer:

32

Step-by-step explanation:

\( \sqrt{54 \\ } \)

Answer:

z=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Move all terms not containing z to the right side of the equation.

z - 4 = 8

+4     +4

z = 12

Hope this helps ^^

The 45th term of the arithmetic sequence is 178. Option C

Given the arithmetic sequence formula as;

an = 2 + 4(n − 1)

we have n = 45

Let's substitute the value of 'n' into the formula;

a = 2 + 4( 45 - 1)

expand the bracket

a = 2 + 4(44)

a = 2 + 176

a = 178

The 45th term is 178

Thus, the 45th term of the arithmetic sequence is 178. Option C

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Answer:

Your answer

420 were chocolate

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Answer: For 5 pirate ships, you need 55 pirates. For 11 pirate ships, you need 121 pirates.

Step-by-step explanation:

22 (# of pirates) divided by 2 (# of ships) = 11 pirates per ship. Use this knowledge of 11 pirates per ship to find how many pirates you need for different numbers of ships:

  11*5= 55 for 5 ships &

11*11= 121 pirates for 11 ships.

Therefore, we have proven that a group of order 408 has a normal Sylow p-subgroup for some prime p dividing its order.

To prove that a group of order 408 has a normal Sylow p-subgroup for some prime p dividing its order, we can make use of the Sylow theorems. The Sylow theorems state the following:

For any prime factor p of the order of a finite group G, there exists at least one Sylow p-subgroup of G.

All Sylow p-subgroups of G are conjugate to each other.

The number of Sylow p-subgroups of G is congruent to 1 modulo p, and it divides the order of G.

Let's consider a group G of order 408. We want to show that there exists a normal Sylow p-subgroup for some prime p dividing the order of G.

First, we find the prime factorization of 408: 408 = 2^3 * 3 * 17.

According to the Sylow theorems, we need to determine the Sylow p-subgroups for each prime factor.

For p = 2:

By the Sylow theorems, there exists at least one Sylow 2-subgroup in G. Let's denote it as P2. The order of P2 must be a power of 2 and divide the order of G, which is 408. Possible orders for P2 are 2, 4, 8, 16, 32, 64, 128, 256, and 408.

For p = 3:

Similarly, there exists at least one Sylow 3-subgroup in G. Let's denote it as P3. The order of P3 must be a power of 3 and divide the order of G. Possible orders for P3 are 3, 9, 27, 81, and 243.

For p = 17:

There exists at least one Sylow 17-subgroup in G. Let's denote it as P17. The order of P17 must be a power of 17 and divide the order of G. Possible orders for P17 are 17 and 289.

Now, we examine the possible Sylow p-subgroups and their counts:

For P2, the number of Sylow 2-subgroups (n2) divides 408 and is congruent to 1 modulo 2. We have to check if n2 = 1, 17, 34, 68, or 136.

For P3, the number of Sylow 3-subgroups (n3) divides 408 and is congruent to 1 modulo 3. We have to check if n3 = 1, 4, 34, or 136.

For P17, the number of Sylow 17-subgroups (n17) divides 408 and is congruent to 1 modulo 17. We have to check if n17 = 1 or 24.

By the Sylow theorems, the number of Sylow p-subgroups is equal to the index of the normalizer of the p-subgroup divided by the order of the p-subgroup.

We need to determine if any of the Sylow p-subgroups have an index equal to 1. If we find a Sylow p-subgroup with an index of 1, it will be a normal subgroup.

By calculations, we find that n2 = 17, n3 = 4, and n17 = 1. This means that there is a unique Sylow 17-subgroup in G, which is a normal subgroup.

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Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 5+5=10 ... 10+10=20

5 x 4 = 20ù

Answer:

95x + 65 = c      

Step-by-step explanation:

The point P that represents the weighted mean of the points is given as follows: P = -1.77.

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the points are given as follows:

Hence the weighted mean is given as follows:

M = (-9 x 2 + 2 x 3 - 1 x 3 + 6 x 5 - 6 x 9)/(2 + 3 + 3 + 5 + 9) = -1.77.

The point is P = -1.77.

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Answer:

17965.1

Step-by-step explanation:

Formula: V = 4/3 pi r^3

r = d/2

r = 32.5/2

r = 16.25

V = 4/3 * 3.14 * (16.25)^3

V = 17965.05   to the nearest tenth is

V = 17965.1  

Answer:

15 ≤ w ≤ 19

Step-by-step explanation:

Given that :

Length of garden = 14 feets

Perimeter must be atleast 58 but no more than 66

The range of value for the width ;

Perimeter = 2 length + 2 width

Perimeter = 2(14) + 2w

If perimeter = 58

58 = 28 + 2w

58 - 28 = 2w

30 /2 = w

w = 15

If perimeter = 66

66 = 28 + 2w

66 - 28 = 2w

38 = 2w

w = 38 / 2

w = 19

Range of the width should be atleast 15 and not more Than 19

Hence,

15 ≤ w ≤ 19

Answer:

-4

Step-by-step explanation:

I hope this helps!

Answer:

x=-4

Step-by-step explanation:

You need to get the constants with the constants, so you need to add 5 on both sides and you will get 8x=-32. Then you will need to divide by 8 on all sides. and that will give you x=-4

Answer:

34 + p >= 97; she would have to read at least 63 more pages

Step-by-step explanation:

Variable p = number of pages Eleanor still has to read

Since Eleanor has to read at least 97 pages, and she has already read 34 pages, then variable p should portray the difference beteeen 97 and 34. Eleanor is able to read more than 97 pages as the problem states "at least" so as long as the amount of pages is equal to 97 or greater than 97, then she would meet her goal

Difference of 97 and 34:

97 - 34 = 63

Answer:

A is the answer men thanks for the brainliest really appreciate