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Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

Answer:

yes

Step-by-step explanation:

Answer:

me sandip is a jokeerrrr..........

Step-by-step explanation:

no god sucks......... **** brainly

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

Answer: CAN SOMEONE PLZ ANSWER TFF QUSTION PLZ!!

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Answer:

35

Step-by-step explanation:

You need to multiply 7 x 5, You get 35. Hope this helps!

Answer:

x = 5

Step-by-step explanation:

0.8x - 0.3 - 0.7x = 0.2

0.8x - 0.7x = 0.2 + 0.3

0.1x = 0.2 + 0.3

0.1x = 0.5

Answer:

The area of the triangle is 144.5cm

Step-by-step explanation:

You start with a 34cm by 17cm rectangle. It shows the amount of empty space on each side of the length of the triangle, so you start by subtracting those two numbers (7 and 10) from 34.

34-10-7=17

Next multiply the length of the triangle (17) by the width of the triangle (17)

17*17=289

Now to find the area of the triangle divide 289 in half because the number you have is representing the area of a full square and you only need half of that because it's a triangle.

289/2=144.5

You got this and I hope you have a wonderful day! Make sure to take breaks whenever you get stressed so you don't overwhelm yourself :)

(maybe try making some tea or going on a walk to clear your head and sort of relax if you can)

Answer:

11/20

Step-by-step explanation:

55%'s basic fraction is 55/100.

You divide 55 and 100 by 5 because they are divisible by 5 and you get your answer.

Answer: so -->  convert 55% into a decimal which looks like --> 0.55

then  for a  fraction --> 55/100 then  when you reduce it... you get -->  11/20 as your final answer

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

\(w=48\\a=24\\\\48*\frac{5}{8} =30\\\\24*\frac{5}{8}= 15\)

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Answer:

The answer to question (a) that is if Ax = b has a solution and \(A^{T}\) y = 0 then y is perpendicular to b

Answer to question (b) that is if \(A^{T}\) y = c has a solution and Ax = 0 then x is perpendicular to c.

a) As Ax = b has a solution for x this means b lies in the column space of A. We also know that \(A^{T}\) y = 0. This means y lies in the orthogonal complement of the column space of A or in the left null space of A. Therefore y is perpendicular to b

b) We see \(A^{T}\) y = c has a solution. This tells us that c lies in the row space of A and also from the given Ax = 0 we can deduce that x lies in the null space of A or the orthogonal complement of row space of A. Therefore evidently  x will be perpendicular to c

Determine whether AT has a row space same as column space of A

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Answer:

(3y + 2)(3y² + 4y - 2) = 9y³ + 18y² + 2y - 4.

Step-by-step explanation:

(3y + 2)(3y² + 4y - 2)

Break it up into two seperate equations.

(3y(3y² + 4y - 2)) + ((2)(3y² + 4y - 2))

Distribute the 3y into the equation.

(9y³ + 12y² - 6y) + ((2)(3y² + 4y - 2))

Distribute the 2 into the equation.

(9y³ + 12y² - 6y) + (6y² + 8y - 4)

Combine like terms.

9y³ + 12y² + 6y² - 6y + 8y - 4

9y³ + 18y² + 2y - 4.

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Let the angle between two unit vectors u and v be 3.14/3, then by using the formula for dot product:

cos(θ) = u.v/ ||u||.||v|| = ||u||.||v||

=> ||u + v|| = ||u|| + ||v|| = sqrt(2 - 2cos(3.14/3)) = 2 √(3)/2

The given system can be written in the matrix form as AX = B, where

A = [1 -3 0; 2 k -1 -1; 1 2 k -2]

B = [-3; -2; 1]

Determinant of A = (1-k)(k^2 - k - 4) = 0 => k = 0 or (k = 1 +- √(5))/2

When k = 0, the matrix A is singular => No solution

When k = (1 + √(5))/2, the matrix A is invertible => Unique solution

When k = (1 - √(5))/2, the matrix A is invertible => Unique solution

The given matrix can be written as

A = [2 1 -1; 3 2 -3; 3 1 -2]

By finding the characteristic equation we can find the eigen values.

det(A - λI) = 0 =>

[(2-λ) 1 -1; 3 2 -3; 3 1 (2-λ)] = 0 =>

λ^3 - 7λ^2 + 11λ - 6 = 0 =>

λ = 2 (double eigenvalue), λ = 1 ± √(2) (complex conjugate eigenvalues)

To find the eigenvector we solve (A - λI)x = 0 =>

For λ = 2: [0 1 -1; 3 0 -3; 3 1 0]x = 0 => x = t(1,1,1) => eigenvector is (1,1,1)

For λ = 1 + sqrt(2): [1 1 -1; 3 1 -3; 3 1 -2 - sqrt(2)]x = 0 => x = t(1, 1, 1) => eigenvector is (1, 1, 1)

For λ = 1 - sqrt(2): [1 1 -1; 3 1 -3; 3 1 -2 + sqrt(2)]x = 0 => x = t(1, 1, 1) => eigenvector is (1, 1, 1)

Let f(x) = (x-1)(x-2)(x-3)(x-4) and g(x) = (x-1/4)(x-1/3)(x-1/2)(x-1).

Then the limit 1 f(x)/g(x) = lim 1 (x-1)(x-2)(x-3)(x-4)/((x-1/4)(x-1/3)(x-1/2)(x-1)) = lim (x-1)(x-2)(x-3)(x-4) /((x-1/4)(x-1/3)(x-1/2)(x-1))

As x approaches 1, the limit is infinity and as x approaches any of the other roots, the limit is 0. Hence, the limit does not exist.

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Answer:

I think it might be y= x+2

Step-by-step explanation: because it is going up times 2 every time

OWO

Answer:

the answer to this is y=7x-15

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

It is not a polynomial function because polynomial functions have non-negative integer exponents, and the exponent in this function is -10, which is a negative integer.

The function f(x)=12x^-10 is a power function because it can be written in the form f(x)=kx^n where n is a negative integer. Specifically, this function can be written as f(x)=12/x^10.
Function f(x) = 12x^(-10), this function is a power function.
A power function has the form f(x) = kx^n, where k and n are constants. In this case, k = 12 and n = -10. Since the function fits the power function definition, it is a power function.
It is not a polynomial function because polynomial functions have non-negative integer exponents, and the exponent in this function is -10, which is a negative integer.

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Answer:

7/8

Step-by-step explanation:

Answer:

Its A (trust me)

Step-by-step explanation:

Have a nice day

Answer:

\((12\frac{1}{3} *2)+(10\frac{3}{4} *2)\\\\=(\frac{12(3)+1}{3} *2)+(\frac{10(4)+3}{4} *2)\\\\=\frac{37*2}{3} +\frac{43*2}{4} \\\\=\frac{74}{3} +\frac{86}{4} \\\\=\frac{74(4)+86(3)}{3*4} \\\\=\frac{296+258}{12} \\\\=\frac{554}{12}\)

Answer:

Step-by-step explanation:

The Answer is 12.5 because...

200/5=40

40x12.5=500

So that means 12.5x40=500

Answer:$67.10

Step-by-step explanation:

Using the first statement we can generate the equation c= 0.18m + 10.4  where c is the cost and m is the number of minutes. So if you make 315 minutes of call then input  that for m and solve for c.

c= 0.18(315) + 10.4

c= 67.10