What is the slope-intercept form of the line with the point (0, 3) and a slope = -2?
O A. y = 2x + 3
O C. y = -2x + 3
D. y = -2x - 3
B. y = 2x - 3

Let the 1st paycheck be x (integer).

Mrs. Rodger got a weekly raise of ₫ 145.

So after completing the 1st week she will get ₫ (x+145).

Similarly after completing the 2nd week she will get ₫ (x + 145) + ₫ 145.

=\( ₫ (x + 145 + 145)\)

= \(₫ (x + 290)\)

So in this way end of every week her salary will increase by ₫ 145.

The determinants det a and det(5a) are related by a scalar multiplication of 5^n, where n is the dimension of the matrix a. In other words, det(5a) = (5^n) det a. This is because multiplying a matrix by a scalar multiplies its determinant by the same scalar raised to the power of the matrix's dimension.

For the second part of the question, the determinants det A and det B are related by det B = (2*3*5) det A = 30 det A. This is because multiplying a row of a matrix by a scalar multiplies its determinant by the same scalar, and multiplying a matrix by a scalar multiplies its determinant by the same scalar raised to the power of the matrix's dimension.

The determinant of a matrix represents the scaling factor of the matrix's transformation on the area or volume of the space it is operating on. Scalar multiplication of a matrix by a scalar s multiplies its determinant by s^n, where n is the dimension of the matrix. This is because the determinant is a linear function of its rows (or columns), and multiplying a row (or column) by a scalar multiplies the determinant by the same scalar.

For the second part of the question, we can use the fact that the determinant of a matrix is unchanged under elementary row operations, and that multiplying a row of a matrix by a scalar multiplies its determinant by the same scalar. We can therefore multiply the first row of A by 2, the second row by 3, and the third row by 5 to obtain B. This multiplies the determinant of A by the product of the three scalars, which is 2*3*5 = 30.

In summary, the determinants of a matrix and its scalar multiple are related by a power of the scalar equal to the dimension of the matrix. Additionally, the determinant of a matrix is multiplied by the product of the scalars used to multiply each row (or column) of the matrix when performing elementary row operations.

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In this case, H0 represents the null hypothesis, which assumes that the claimed mean monopotassium phosphate content is true.

The hypotheses for a two-tailed test of the claimed monopotassium phosphate content would be as follows:

H0: The true mean monopotassium phosphate content of the athletics drink is equal to 133 mg (μ = 133 mg)

Ha: The true mean monopotassium phosphate content of the athletics drink is not equal to 133 mg (μ ≠ 133 mg)

In this case, H0 represents the null hypothesis, which assumes that the claimed mean monopotassium phosphate content is true.

Ha represents the alternative hypothesis, which suggests that the true mean monopotassium phosphate content differs from the claimed value.

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Answer: 6400kg=6.4*10⁶ g

Step-by-step explanation:

6400 kg=

6.4*10³ kg=

6.4*10³*10³ g=

6.4*10³⁺³ g=

6,4*10⁶ g

Answer - 6.4 × 10^6

Step by step Explaination-

6400 kg=

6.4*10³ kg=

6.4*10³*10³ g=

6.4*10³⁺³ g=

6,4*10⁶ g

Firstly, we'll discuss the units of digits -

1. We'll convert 6400 kilograms into grams. Multiply the value in kilograms by the factor '1000'.

2.  Standard form may be a means of writing variety thus it's easier to browse. it's typically used for terribly large or small numbers.

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Answer:

1.3

Step-by-step explanation:

im not sure

Answer:

124

Step-by-step explanation:

62 * 2 = 124

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The mean time to repair (MTTR) is 20 hours.

What is  MTTR?

Mean time to repair = Total hours spent on corrective maintenance / Number of maintenance actions completed

Mean time to repair = 1,200/60

Mean time to repair = 20 hours

Therefore, the mean time to repair is 20 hours.

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The final block with the zero bytes shown as "...":
"000102030405060780..."

To pad the given partial block for a block cipher with a block size of 1818 bytes using the padding strategy described, follow these steps:

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Answer:

  x = -1.5, +2.0

Step-by-step explanation:

You want to solve the equation f(x²) = x-1, given that f(x) = 2x -7.

First, we find the meaning of f(x²) by putting x² into the function definition where x is:

  f(x²) = 2(x²) -7

Then, we set that equal to x-1 and solve the resulting quadratic.

  2x² -7 = x -1

  2x² -x -6 = 0 . . . . . . . subtract (x-1)

  (2x +3)(x -2) = 0 . . . . factor

The solutions to this are the x-values that make the factors zero:

  2x +3 = 0   ⇒   x = -3/2

  x -2 = 0   ⇒   x = 2

The solutions are x = -3/2 and x = 2.

__

Additional comment

The attached graph solves the equation we get when we subtract (x-1) from both sides of what you're trying to solve. The solutions are the x-intercepts of the graph.

The factoring can be done by splitting the x-term into two parts. Their product is the product of the first and last terms.

  2x² -x -6 = 0

  2x² -4x +3x -6 = 0 . . . . . 2·(-6) = -12 = (-4)(3) and -4+3=-1, the x-coefficient

  2x(x -2) +3(x -2) = 0 . . . . factor each pair of terms

  (2x +3)(x -2) = 0 . . . . . . . factor out the common factor

Answer:

The circle x^2+y^2-2x-8y+17=0 has translated 5 units to the leftand 2units down.

Step-by-step explanation:

If we translate this circle to the left 5 units, and 2 units down,

we will subtract 5 from the center x coordinate and 2 for the center y coordinate

The center is (1,-4)

So the new center prime is (-4,-6)

Since a translation keep angles and measures,

Our radius will remain untouched so our new equation is

\((x + 4) {}^{2} + (y + 6) {}^{2} = 16\)

The cost of a Powerade is $0.75 if 2 bags of chips and 2 Powerades cost $3.50 and one bag of chips and 3 Powerades cost $3.75.

Let the cost of one Powerade be x

The cost of one bag of chips be y

Cost of 2 bags of chips and 2 Powerades = $3.50

Cost of 2 bags of chips = 2y

Cost of 2 Powerades = 2x

2x + 2y = 3.50 ----(i)

Cost of one bag of chips and 3 Powerades= $3.75

Cost of 1 bag of chips = y

Cost of 3 Powerades = 3x

x + 3y = 3.75

Multiply the above equation by 2

2x + 6y = 7.50 -----(ii)

Subtract (ii) and (i)

4y = 4

y = $1

The cost of one bag of chips is $1

x + 3 = 3.75

x = $0.75

The cost of one Powerade is $0.75

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As per the quadrilateral ABCD, the value of x will be equal to 36°.

A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines. Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.

As per the given diagram in the question,

The given angles are:

∠ A = 72°

∠ C = 3x

For a cyclic quadrilateral,

∠ A + ∠ C = 180°

72 + 3x = 180

3x = 180 - 72

3x = 108

x = 108/3

x = 36°

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Answer:

Step-by-step explanation:

You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.

Collecting terms, we have ...

  (8 +4)x +(-3 +3) = 180

  12x + 0 = 180

Dividing by the coefficient of x gives ...

  x = 180/12 = 15

The value of x is 15.

Answer:

Answer is D) 15.

Step-by-step explanation:

You check this by plugging 15 into x which would make both equations equal 0.

You can also use the desmos online graphing calculator and type both equations in and then just look for the solution (the point at which they both intersect).

Answer:

24

Step-by-step explanation:

75 x .32 = 24

Answer:

32 percent of 75 is 24

Answer:

No

Step-by-step explanation:

When \(x=2\), \(y=-6(2)=-12\), not \(4\).

An expression to represent the perimeter of the rectangle with  10/(x² + 11x +24) and (x+1)/(x+3) would be (x+12)(x+6)//(x+8)/(x+3).

What is the perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Here, we have

Given: Sides = 10/(x² + 11x +24) and (x+1)/(x+3)

The perimeter is when you add all the sides of a shape.

In a rectangle, two sides are the same, and so are the other two. therefore, if the two sides are 10/(x² + 11x +24) and (x+1)/(x+3) the expression will be:

= 2(10/(x² + 11x +24)) + 2(x+1)/(x+3)

= 20/(x² + 11x +24) + 2(x+1)/(x+3)

= 20/(x+8)/(x+3) + 2(x+1)/(x+3)

= {20 + 2(x+1)(x+8)}/(x+8)/(x+3)

= {20 + 2(x² + 9x + 8)}/(x+8)/(x+3)

= { 20 + 2x² + 18x + 16}/(x+8)/(x+3)

= {2x² + 18x + 36}/(x+8)/(x+3)

= (x+12)(x+6)//(x+8)/(x+3)

Hence, an expression to represent the perimeter of the rectangle with  10/(x² + 11x +24) and (x+1)/(x+3) would be (x+12)(x+6)//(x+8)/(x+3).

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Answer:

7x^25 :)

Step-by-step explanation:

1: 7x,

2. 7x^5,

3. 7x^9,

4. 7x^13,

5. 7x^17,

6. 7x^21,

7. 7x^25

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Answer:

\(7x^{25}\)

Step-by-step explanation:

Given sequence: \(7x, -7x^5, 7x^9\)

General form of a geometric sequence:  \(a_n=ar^{n-1}\)

(where a is the first term and r is the common ratio)

\(a_1=7x\)

\(a_2=-7x^5\)

\(a_3=7x^9\)

To find the common ratio, divide one term by the previous term:

\(r=\dfrac{a_2}{a_1}=\dfrac{-7x^5}{7x}=-x^4\)

Therefore, substituting the found values of a and r into the formula:

\(\implies a_n=(7x)(-x^4)^{n-1}\)

To find the 7th term, substitute n = 7 into the formula:

\(\begin{aligned}\implies a_7 & =(7x)(-x^4)^{7-1}\\ & = (7x)(-x^4)^6\\ & = (7x)(x^{24})\\ & = 7x^{25}\end{aligned}\)

The system of equations has a unique solution when the determinant of the coefficient matrix is non-zero.

In this case, the coefficient matrix is:

|  0  1  2k |

|  1  2   6  |

|  k  0   2  |

The determinant of this matrix is given by:

D = 0(2(2) - 0(6)) - 1(1(2) - 6(k)) + 2k(1(0) - 2(2))

 = -12k + 12k

 = 0

When the determinant is zero, the system may have infinitely many solutions or no solution. Therefore, we need to investigate further to determine the values of k for which the system has a unique solution.

(b) To determine the values of k for which the system has no solution, we can check if the rank of the coefficient matrix is less than the rank of the augmented matrix. If the ranks are equal, the system has a unique solution. If the ranks differ, the system has no solution.

By performing row reduction on the augmented matrix, we find that the ranks of both the coefficient matrix and the augmented matrix are equal to 2. Therefore, for any value of k, the system has a unique solution.

In summary, for all values of the constant k, the given system of equations has a unique solution and does not have any solution.

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Using the binomial distribution, the probabilities are given as follows:

The probability mass function for the binomial distribution is presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters of the distribution are given by:

In the context of this problem, the values of these parameters are:

n = 5, p = 0.735.

The probability of all people ordering the breast sandwich is:

P(X = 5) = 0.735^5 = 0.2145 = 21.45%.

The probability of no people ordering the breast sandwich is:

P(X = 0) = (1 - 0.735)^5 = 0.0013 = 0.13%.

The probability of at least one person ordering the breast sandwich is:

P(X >= 1) = 1 - 0.0013 = 0.9987 = 99.87%.

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Reciprocal of -32/7 = -7/32

Answer:

-32/7 = -7/32

Step-by-step explanation:

Answer:

30 years old

Step-by-step explanation:

5x = x + 2(12)

5x = x + 24

4x = 24

x = 6

5(x)

5(6) = 30

Answer:

1742 is divided by 2.16 than answer is 418.75

The area of the Heptagon is 32.6

What is Heptagon?

A polygon having 7 sides and 7 angles are called a heptagon. The term "septagon" may also be used to refer to the heptagon. A heptagon is formed when all of its sides come together end to end. Therefore,

The heptagon's sides total seven.

What Is Meant by Apothem?

Apothem is a line traced from any polygon's center to one of its sides' midpoints.

The apothem formula, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

Where,

a = apothem length

s = side length

n = number of sides of a polygon.

In the given question,

we have;

s = 7 inches;

a = 3 inches;

n = 7;

So,

The apothem, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

\(a=\frac{3}{2 \tan \left(\frac{180}{7}\right)}\)

so, The area of Heptagon is 7.\(\frac{3.7}{2}\)

The area of the Heptagon is 32.6

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Answer:

Step-by-step explanation:

Sum of all angles of a triangle = 180

x + 64 + x + 45 + 79 = 180

Combine like terms.

2x + 188 = 180

2x = 180 - 188

2x = - 8

x = -8/2

x = -4

x + 64 = -4 + 64 = 60

x  + 45 = -4 + 45 = 41

Step-by-step explanation:

We know that the sum of all angles of a triangle is 180 °.

x + 45 + x + 64 + 79 ° = 180 °.

combine like terms

x + x + 64 + 45 + 79 ° = 180 °

2 x + 188 ° = 180 °

Subtract

2 x = 180 ° - 188 °

2 x = - 8 °

Divide

x = -8 ° / 2

x = - 4 °

x + 45 = - 4° + 45 ° = 41°

x + 64 = - 4° + 64 ° = 60 °