pls telll/pls tell pls tell pls tell

(a) The dot product of A and B is given by: A · B = (2î + 3ĵ + 4k) · (î - 2ĵ + 3k)= 2(1) + 3(-2) + 4(3)= 2 - 6 + 12 = 8

Therefore, A · B = 8.

(b) The angle between two vectors A and B is given by:

θ = cos^(-1)((A · B) / (|A| |B|))

In this case, |A| is the magnitude of vector A and |B| is the magnitude of vector B. The magnitude of a vector is given by the square root of the sum of the squares of its components.

|A| = √(2² + 3² + 4²) = √(4 + 9 + 16) = √29

|B| = √(1² + (-2)² + 3²) = √(1 + 4 + 9) = √14

Plugging in the values:

θ = cos^(-1)(8 / (√29 √14))

(c) The scalar component of vector A in the direction of vector B is given by:

A_B = (A · B) / |B|

Plugging in the values:

A_B = 8 / √14

(d) The cross product of vectors A and B is given by:

A x B = (2î + 3ĵ + 4k) x (î - 2ĵ + 3k)

= (3(3) - 4(-2))î + (4(1) - 2(3))ĵ + (2(-2) - 3(3))k

= 17î - 2ĵ - 13k

Therefore,AXB = 17î - 2ĵ - 13k.

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(a) The dot product of A and B is given by: A · B = (2î + 3ĵ + 4k) · (î - 2ĵ + 3k)= 2(1) + 3(-2) + 4(3)= 2 - 6 + 12 = 8

Therefore, A · B = 8.

(b) The angle between two vectors A and B is given by:

θ = cos^(-1)((A · B) / (|A| |B|))

In this case, |A| is the magnitude of vector A and |B| is the magnitude of vector B. The magnitude of a vector is given by the square root of the sum of the squares of its components.

|A| = √(2² + 3² + 4²) = √(4 + 9 + 16) = √29

|B| = √(1² + (-2)² + 3²) = √(1 + 4 + 9) = √14

Plugging in the values:

θ = cos^(-1)(8 / (√29 √14))

(c) The scalar component of vector A in the direction of vector B is given by:

A_B = (A · B) / |B|

Plugging in the values:

A_B = 8 / √14

(d) The cross product of vectors A and B is given by:

A x B = (2î + 3ĵ + 4k) x (î - 2ĵ + 3k)

= (3(3) - 4(-2))î + (4(1) - 2(3))ĵ + (2(-2) - 3(3))k

= 17î - 2ĵ - 13k

Therefore,AXB = 17î - 2ĵ - 13k.

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Answer:

8)449.1 9)349.3

Step-by-step explanation:

8.499+10/100*499=499+0.1*499=499+49.9=548.9

9.499-30/100*499=499-0.3*499=499-149.7=349.3

The symbol ≤ is less than or equal to

Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.

The signs used in inequality are of 4 types namely

The strict inequality are those inequality that the equation fails when equality sign is used to represent the relationship of the left and right hand side of an equation.. The inequality sign used here is only less than or greater than

The non strict inequality maintains the balance between both sides of the equation whether the equality is used or not. Instances include "less than or equal to" OR "greater than or equal to"

The given expression is less than or equal to and is a non strict inequality

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Yes, the researcher use the rows or the columns of the field as blocks.

When conducting research, it is important to think about which structure to use as the basis for your work.

In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.

Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.

However, it can be challenging to discover similarities between data points within the same row.

Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.

Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.

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The formula for an exponential function is y = 45/8x + 57/8.

Here we have to find the formula for an exponential function that passes through the points.

Given data:

The two points are (-1, 3/2) and (3, 24).

We need to find the slope of the line. So,

Slope(m) = (y2 - y1) / (x2 - x1)

m = (24 - 3/2) / ( 3+ 1)

   = 45/ 8

The general equation of a line:

y = mx + c

Now putting the value of x and y as -1 and 3/2 and m = 45/8.

3/2 = -1 × 45/8 + c

c = 57/8

Now we get the equation:

y = 45/8x + 57/8

Therefore the equation is y = 45/8x + 57/8.

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

The distance from Acton to Bridgeton is 17 miles and 158 yards. To calculate the total distance in yards, we need to convert the miles to yards and add them to the given yards.

To convert miles to yards, we know that 1 mile is equal to 1760 yards. Therefore, we can calculate the total distance in yards by multiplying the number of miles by 1760 and adding the given yards.

Total distance in yards = (17 miles * 1760 yards/mile) + 158 yards

Total distance in yards = 29,920 yards + 158 yards

Total distance in yards = 30,078 yards

Therefore, the total distance from Acton to Bridgeton is 30,078 yards.

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Answer:

x = 45

Step-by-step explanation:

x + 135 = 180  {Linear pair}

        x = 180 - 135          {Subtract 135 from both sides}

        x = 45

Answer:

you would weigh 140 lbs

Step-by-step explanation:

x= weeks in time

165-5x=y y being your final weight in lbs

Answer:

A) -6

Step-by-step explanation:

its just by substituting 3 in place of x

3(3-4)+2(3)-(3)²

3(-1)+6-9

-3+(-3)= -6

pls gimme brailiest if it helped :)

Answer:

A. -6

Step-by-step explanation:

3(x-4) + 2x - x²

Evaluate

Let x =3

Substitute into the expression

3( 3-4) +2(3) - 3^2

Parentheses first

3( -1) +2(3) - 3^2

Exponents next

3( -1) +2(3) - 9

Multiply

-3 +6 -9

Add and subtract

-6

Answer:

m (slope)=1

Step-by-step explanation:

y=x+6(m is always found in front of X so m=1)

Answer: 1

Step-by-step explanation: This equation is written in y = mx + b form.

The slope of the line will be the coefficient of the x-term.

Remember, the coefficient is the number in front of the variable.

Notice that the x does not have a coefficient.

When that happens, when there is no number in front

of your variable, you can put a 1 there to fill that position.

So the slope of the line will is 1.

Answer:

A lot

Step-by-step explanation:

A lot

The number 7.1 x 10⁴ in standard form is: 71,000

In standard form, a number is expressed as a coefficient multiplied by a power of 10, where a coefficient is a number greater than or equal to 1 and less than 10, and the power of 10 represents the number of places the decimal point must be moved to obtain the number's value.

In this case, the coefficient is 7.1, which is greater than or equal to 1 and less than 10. The power of 10 is 4, which means that the decimal point must be moved 4 places to the right to obtain the value of the number. Therefore, we get 71,000.

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Answer: Sandra wants to use multiplication to solve 1/4 divided divided by 6 equals t which multiplication equation can sander use

Step-by-step explanation:

It will take Keshia 62.5 minutes to complete the entire worksheet at the same pace.

To find the amount of total time it will take Keshia to complete the entire worksheet at the same pace, we can use a proportion:

20 problems / 25 minutes = 50 problems / x minutes

To solve for x, we can cross-multiply and simplify:

20 problems * x minutes = 25 minutes * 50 problems

20x = 1250

x = 1250 / 20

x = 62.5

Therefore, it will take Keshia 62.5 minutes to complete the entire worksheet at the same pace.

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Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

Answer:

x = -3 , y = -4

Step-by-step explanation:

\(\begin{bmatrix}y=2x+2\\ y=-4\end{bmatrix}\)

\(\begin{bmatrix}2x+2=-4\end{bmatrix}\)

\(y=2\left(-3\right)+2\)

\(y=-4\)

\(y=-4,\:x=-3\)

Another easy way to determine it is to look where the two lines intercept.

Answer:

$1.60

Step-by-step explanation:

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a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.

In mathematics, an algorithm is a process, a description of a series of steps that may be used to solve a problem; however, they are now far more prevalent than that.

Although many areas of research (and daily life) employ algorithms, long division's step-by-step process is probably the most prevalent example.

Thus, It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.

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Answer:

Each person earns $14.

Step-by-step explanation:

To find out how much each person gets, you need to divide the amount of money.

$42 ÷ 3owners = $14 per each person.

Hope this helps!

Since f is both injective and surjective, it is a bijective homomorphism. Therefore, ⟨C*,⋅⟩ is isomorphic to K.

To prove that K is a subgroup of the group of 2x2 invertible matrices, we need to show that it satisfies the three conditions of being a subgroup:

1. Closure: We need to show that for any two matrices A and B in K, their product AB is also in K. Let A and B be matrices in K, then A = (a1 b1; -b1 a1) and B = (a2 b2; -b2 a2), where a1, b1, a2, b2 are real numbers. The product AB is given by (a1a2 - b1b2  a1b2 + b1a2; -(a1b2 + b1a2) a1a2 - b1b2). Since a1a2 - b1b2 and a1b2 + b1a2 are real numbers, AB is also in K.

2. Identity: We need to show that the identity element of the group of 2x2 invertible matrices is in K. The identity matrix I is given by (1 0; 0 1), which can be written as (1 0; 0 -1). Since 1 and -1 are real numbers, I is in K.

3. Inverse: We need to show that for any matrix A in K, its inverse A^(-1) is also in K. Let A = (a b; -b a) be a matrix in K. The inverse of A is given by A^(-1) = (a/(a^2 + b^2) -b/(a^2 + b^2); b/(a^2 + b^2) a/(a^2 + b^2)). Since a^2 + b^2 is not zero, A^(-1) is in K.

Therefore, K is a subgroup of the group of 2x2 invertible matrices.

To prove that ⟨C*,⋅⟩≅K, we need to show that there exists a bijective homomorphism between the multiplicative group of non-zero complex numbers and K.

Let f: ⟨C*,⋅⟩ -> K be defined as f(z) = (Re(z) Im(z); -Im(z) Re(z)), where Re(z) represents the real part of z and Im(z) represents the imaginary part of z.

To show that f is a homomorphism, we need to show that f(xy) = f(x)f(y) for all x, y in ⟨C*,⋅⟩. Let x = a + bi and y = c + di be non-zero complex numbers, where a, b, c, d are real numbers. Then f(x) = (a b; -b a) and f(y) = (c d; -d c). The product xy is given by (ac - bd) + (ad + bc)i. The image of xy under f is (ac - bd ad + bc; -(ad + bc) ac - bd). This is equal to the product of f(x) and f(y), so f is a homomorphism.

To show that f is bijective, we need to show that it is both injective and surjective.

To show injectivity, we need to show that if f(x) = f(y), then x = y. Let f(x) = f(y), then (a b; -b a) = (c d; -d c). This implies a = c and b = d, which means x = a + bi = c + di = y. Therefore, f is injective.

To show surjectivity, we need to show that for every matrix A in K, there exists a non-zero complex number z such that f(z) = A. Let A = (a b; -b a) be a matrix in K. We can find a non-zero complex number z = a + bi such that f(z) = (a b; -b a).

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Answer:

5th example: 28 blocks.

24th example: 123 blocks.

Step-by-step explanation:

Hope this helped!

The only value of c that satisfies the initial condition g(2) = 5 is c = -3.

The graph of a function f consists of three line segments, with points (1,2), (2,3), and (3,4).

An antiderivative of f is a function g such that g'(x) = f(x). That is, g is the "opposite" of the derivative of f. The values of c in an antiderivative g(x) = f(x) + c are determined by the initial condition g(2) = 5, since g'(2) = f(2) = 3.

So, in order to determine the value of c, we need to integrate f(x) and find the value of g(2). The integral of f(x) is

g(x) = x² + 2x + c

Substituting x = 2 into this equation, we get

g(2) = 4 + 4 + c = 8 + c

Now, since g(2) = 5, we can solve for c:

5 = 8 + c

c = -3

Therefore, the only value of c that satisfies the initial condition g(2) = 5 is c = -3.

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Answer:

yes

Step-by-step explanation:

Answer:

b=-a

Step-by-step explanation:

Becaude when b is positive a will be negative

And when b is negative a will be positive.

SAS postulate is the postulate that proves the given triangles are congruent.

What is Triangle ?

Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees.

Given,

A cube with congruent square faces.

Step 1: Create a labelled diagram by outlining the triangles and.

The diagram illustrating the triangles ΔABF and ΔBCG

See the attachment

Step 2 - Step description.

As an example, a cube has faces that are congruent squares.

Therefore, AB = BC = BF= CG and ΔABF = ΔBCG =90°

That implies,  AB ≅ BC ≅ BF≅CG and ΔABF ≅ ΔBCG =90°

Step 3 - Description of step.

In the triangles ΔABF and ΔBCG, it can be seen that AB = BC , ΔABF =ΔBCG = 90° and BF=CG

Using the SAS postulate, the triangles ΔABF and ΔBCG are thus congruent triangles.

SAS postulate is the postulate that proves the given triangles are congruent

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Answer:

f(4) = 8

f(6) = 10

Step-by-step explanation:

Step 1: Define

f(x) = x + 4

f(4) is x = 4

f(x) = 10

Step 2: Find f(4)

f(4) = 4 + 4

f(4) = 8

Step 3: Find f(x) = 10

10 = x + 4

x = 6