Pls help a girl outttt

The required whole number, is either -19/3 or 7 which satisfied the given conditions

let us consider the whole number be x .

we have given the following

the twice a certain whole number i.e x and subtracted it from 3 times the square of the number leaves 133. Mathematically ,

3x^2 - 2x = 133

=> 3x^2 - 2x - 133 = 0

Factorize the above formula we get

=> (3x + 19)(x - 7)= 0

=> 3x + 19 = 0

=> 3x = -19

=> x = -19/3

=> x - 7 = 0

=> x = 7

Hence, possible value of x a whole number is either equal -19/3 or 7.

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Answer:

2.5782963e+29

Step-by-step explanation:

basically 19 times itself 63 times

Answer:

19^63  ,  3.6431483821774E+80

Step-by-step explanation:

Answer:

The slope of (-3, 8) and (0, 4) is -4/3.

Answer:

It would be -4/3

Step-by-step explanation:

Using the equation \(\frac{y2-y1}{x2-x1}\) 4-8=-4 and 0-(-3)= 3 therefore -4/3.

The required answer is  a 5 5 matrix is a diagonalizable.

Explanation,

Yes, the matrix a is diagonalizable. This is because if a 5x5 matrix has two eigenvalues, and one eigenspace is three-dimensional while the other is two-dimensional, then the matrix is guaranteed to be diagonalizable. This is because the sum of the dimensions of the One eigenspace is three-dimensional, and the other eigenspace is two-dimensional. A matrix is diagonalizable if the sum of the dimensions of its eigenspaces is equal to the size of the matrix. In this case, the dimensions of the eigenspaces are 3 and 2, which add up to 5. Since the size of the matrix A is also 5 the sum of the dimensions of the eigenspaces is equal to the size of the matrix. Therefore, matrix A is diagonalizable. must equal the size of the matrix , and because the eigenvectors associated with each eigenvalue form a linearly independent set, it is possible to diagonalize the matrix using those eigenvectors. Therefore, a is diagonalizable because the dimensions of its eigenspaces add up to 5 and its eigenvectors are linearly independent.

The study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices.

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Answer:

1. 43

2. -123

Answer: .

Step-by-step explanation:

For the first equation you add 2 on both sides to get m < -6.

For the second you multiply by 8 on both sides to get m > 8

The answer is C.

Hope this helps

The following inequality of m - 2 < -8 or m/8 > 1 is m < -6 or m > 8.

Option C is the correct answer.

It is a statement of an ordered relationship

- greater than,

- greater than or equal to,

- less than,

- less than or equal to between two numbers or algebraic expressions.

We have,

m - 2 < -8 or m/8 > 1

Let's find m for each inequality.

m - 2 < -8

Adding 2 on both sides.

m - 2 + 2 < -8 + 2

m < -6 _____(1)

m/8 > 1

Multiply 8 on both sides.

8 x m/8 > 8 x 1

m > 8 _____(2)

From (1) and (2) we get,

m < -6 or m > 8

Thus,

The following inequality of m - 2 < -8 or m/8 > 1 is m < -6 or m > 8.

Option C is the correct answer.

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In conclusion  62 inches is equal to 157.48 centimeters (rounded to the nearest tenth).

How to solve?

Part 1 of 2:

The first method to convert 62 inches to centimeters involves using the conversion factor of 1 inch equals 2.54 centimeters. We can set up a proportion to solve for the number of centimeters in 62 inches:

1 in. x cm

----- = -----

2.54 62 in.

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

1 × x = 2.54 × 62

x = 157.48

Therefore, 62 inches is equal to 157.48 centimeters (rounded to the nearest tenth).

So the first method gives us 157.5 cm as the answer.

Part 2 of 2:

The second method to convert 62 inches to centimeters involves multiplying 62 by the conversion factor of 2.54 centimeters per inch:

62 in. × 2.54 cm/in = 157.48 cm

Therefore, using this method, we also get 157.5 cm as the answer (rounded to the nearest tenth).

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You cant. -12-4 = -116

After calculating the individual discount and coupon percentages of the actual price, we find out that the final price of the new computer monitor is $40.

It is given to us that -

The new computer monitor is regularly priced at $200

It is now on sale for 25% off

After the sale discount, we can also use 20% off coupon

We have to find out the final price of the computer monitor.

The initial price of the new computer monitor = $200

After the sale discount of 25% off is applied to the product, the new price of the monitor can be calculated by finding out

25% of $200 = 0.25 * 200 = $50

Now, after calculating the price of the monitor after the sales discount, we have to find out the final price after the 20% off coupon is applied.

So, 20% of $50 = 0.20 * 50 = $10

So, we can conclude that after the sales discount and after a coupon of $10 off is applied, the final price of the computer monitor is -

$50 - $10

= $40

Thus, calculating the individual discount and coupon percentages of the actual price, we find out that the final price of the new computer monitor is $40.

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The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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If B is row-equivalent to a nonsingular matrix A, then B is also nonsingular.

Suppose that A is a nonsingular matrix, which means that A has an inverse denoted by A\(^{-1}.\)

Now let B be a matrix that is row-equivalent to A. This means that we can obtain B from A by applying a finite sequence of elementary row operations.

Since elementary row operations do not change the row space of a matrix, the row space of B is the same as the row space of A. This means that B has the same rank as A.

Since A is nonsingular, it has full rank (i.e., rank(A) = n, where n is the number of rows or columns in A). Therefore, B also has full rank, which means that B is also a nonsingular matrix.

To see this more explicitly, suppose that B is singular, which means that there exists a non-zero vector x such that Bx = 0.

Since B is row-equivalent to A, we have that Ax = 0 (since the row space of B is the same as the row space of A).

But this contradicts the fact that A is nonsingular, since if Ax = 0 then x = \(A^{-1}Ax = A^{-1}0 = 0.\)

Therefore, B cannot be singular and must be nonsingular.

In summary, if B is row-equivalent to a nonsingular matrix A, then B is N also nonsingular.

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The Solution.

By Trigonometrical Ratios, we have,

SOH, CAH, TOA

Where S

Where in the case at hand,

H = 11

To find the value of x in the given problem,

Taking 25 degrees as our angle of interest, we have,

One of the required expressions is:

Similarly, taking 65 degrees as the angle of interest, we have

The other required expression for finding x is:

The correct answers are;

x = 11 sin 65 degrees

x = 11 cos25 degrees

The set of expressions that is NOT an example of the associative property is B. (8 - 2) + 3 and 8 + (-2 + 3).

The associative property states that the way you group numbers when adding or multiplying does not change the result. For example, (8 + 2) + 3 is the same as 8 + (2 + 3). However, the associative property does not apply to subtraction or division. Therefore, (8 - 2) + 3 is not the same as 8 + (-2 + 3).

Besides associative property, there are 3 other mathematical properties that only works on adding and multiplying. They are:

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Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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Answer: 112.5 cm3

Hope that helped!

Answer:

the answer is 112.5 cm3

Step-by-step explanation:

on edg

I guess you're missing some plus signs, so that

\(\vec f(x, y, z) = z \, \vec\imath + y \, \vec\jmath + zx \, \vec k\)

You're also missing the plane that defines the tetrahedron, but no big deal; I'll use the general equation \(ax+by+cz = 1\), where each of a, b, and c are positive. Then S is the boundary of the region R, where

\(R = \left\{ (x, y, z) : 0 \le x \le \dfrac1a \text{ and } 0 \le x \le \dfrac{1-ax}b \text{ and } 0 \le z \le \dfrac{1-ax-by}c \right\}\)

By the divergence theorem, the flux of \(\vec f\) across S is

\(\displaystyle \iint_S \vec f \cdot d\vec s = \iiint_R \mathrm{div}(\vec f) \, dV\)

We have

\(\mathrm{div}(\vec f) = \dfrac{\partial(z)}{\partial x} + \dfrac{\partial(y)}{\partial y} + \dfrac{\partial(zx)}{\partial z} = 1 + x\)

Then the flux is equal to the volume integral,

\(\displaystyle \iiint_R (1 + x) \, dV = \int_0^{1/a} \int_0^{(1-ax)/b} \int_0^{(1 - ax - by)/c} (1 + x) \, dz \, dy \, dx \\\\ = \frac1c \int_0^{1/a} \int_0^{(1-ax)/b} (1 + x) (1 - ax - by) \, dy \, dx \\\\ = \frac1{2bc} \int_0^{1/a} (1 + x) (1 - ax)^2 \, dx \\\\ = \frac1{6abc} \left(\frac1{4a} + 1\right) = \boxed{\frac{1+4a}{24a^2bc}}\)

Answer:

39 Mr Jones

35 Mrs. Jones

8 Son

Step-by-step explanation:

x       ----> Mr. Jones

x - 4  ----> His wife

x - 31 ---> His son

x + (x - 4) + (x - 31) = 82

3x - 35 = 82

3x = 82 + 35

3x = 117

x = 117/3

x = 39 Mr Jones

x - 4

39 - 4

35 Mrs. Jones

x - 31

39 - 31

8 Son

Answer:

3 1/6

Step-by-step explanation:

We then divide the difference in y-coordinates by the difference in x-coordinates to find the slope of the line. This can be expressed mathematically as follows: slope = (y₂ - y₁) / (x₂ - x₁).

This procedure calculates the slope of a line using the coordinates of two points. It takes four numeric parameters as input: the x coordinate of the first point, the y coordinate of the first point, the x coordinate of the second point, and the y coordinate of the second point. The slope of a line is a measure of its steepness and is defined as the change in y divided by the change in x between two points on the line.

To calculate the slope of a line using the coordinates of two points, we need to first find the difference between the y-coordinates of the two points and the difference between the x-coordinates of the two points.

We then divide the difference in y-coordinates by the difference in x-coordinates to find the slope of the line. This can be expressed mathematically as follows: slope = (y₂ - y₁) / (x₂ - x₁). The resulting slope value can be positive, negative, or zero depending on the direction and steepness of the line. A positive slope indicates that the line is increasing from left to right, while a negative slope indicates that the line is decreasing from left to right. A slope of zero indicates a horizontal line.

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Answer:

100

Step-by-step explanation:

8000/80=100

8 thousands= 8000

8 tens= 80

Expert Answer, Mark AS BRAINLIEST!!!

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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The statement holds for all k≥0 and thus we have shown that an = 1/k! is an analytic formula for Ck.

A. Terms of Sequence:Calculating c₂, c₃, c₄, c₅, c₆:c₂ = c₁ + 1(2-1) / (2) = 0 + 1 = 1c₃ = c₂ + 1(3-1) / (3x2) = 1 + 1/6 = 7/6c₄ = c₃ + 1(4-1) / (4x3) = 7/6 + 1/12 = 25/12c₅ = c₄ + 1(5-1) / (5x4) = 25/12 + 1/20 = 307/60c₆ = c₅ + 1(6-1) / (6x5) = 307/60 + 1/30 = 187/30B. Iteration:Using iteration, solve the recurrence relation when n≥2:i.e. finding an analytic formula for an.Cₖ = Ck₋1 + k(k-1) / 2 x 1 is given for k≥2C₁ = 0, so we need to define C₂, C₃, ... Cn. Therefore, let's write out the first few terms of the sequence: 0, 1, 7/6, 25/12, 307/60, ...Let's guess that an = 1/k! (for k≥0), since this sequence contains factorials. So now we will show that this guess is right using mathematical induction: Base Case: When k = 0: a₀ = 1/0! = 1Now assume that the statement holds for some arbitrary k≥0, i.e., an = 1/k! (Inductive Hypothesis). We need to show that the statement holds for the next case, i.e., for k + 1. Thus:an₊1 = Cₖ₊1 = Ck + k(k+1) / 2(Recurrence relation with k replaced by k+1)Substituting the inductive hypothesis:an₊1 = Ck + k(k+1) / 2 = 1/k! + k(k+1) / 2 = [2(k+1) + k(k+1)] / 2(k+1)! = (k² + 3k + 2) / 2(k+1)! = (k+1)(k+2) / 2(k+1)! = 1 / (k+1)! Therefore, the statement holds for all k≥0 and thus we have shown that an = 1/k! is an analytic formula for Ck.

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Gradual, long-term movement in time-series values is called temporal variation. Therefore, the correct option is (a) temporal variation.

Temporal variation is one of the components of a time series, along with seasonal variation, cyclical movement, and irregular or random variation. Temporal variation refers to the long-term trend or pattern of movement in the time series, which can be increasing, decreasing, or remaining constant over time. It is often caused by underlying factors such as population growth, economic changes, or technological advancements.

Cyclical movement refers to the regular, repeating up and down patterns in the time series, which are usually longer than a year and can be caused by factors such as business cycles or political cycles. Exponential smoothing and linear regression are statistical methods used to forecast or model time series data, but they do not describe the components of the time series themselves.

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Answer:

Step-by-step explanation:

false that is not at all true

Answer:

do you men triangular prism is 6 edges

Answer:

5.2 or 5.2O

Step-by-step explanation:

add 2.6m + 2.60 which means add 2.60 + 2.60

2.60

+2.60

______

5.2 (the zero is optional)