Prove or disprove: Let V be a vector space and let + denote vector addition. Then (V.+) is a group Hint: Review the axiomatic definition of a vector space.

Answer:

x/3

Step-by-step explanation:

Let the number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; 10/5 = 2.

Therefore, translating the word problem into an algebraic expression we have;

Quotient = x/3

9514 1404 393

Answer:

  37.5 square units

Step-by-step explanation:

When the points are plotted on a graph, you can see that the sides of the trapezoid are the hypotenuse of a 3-4-5 right triangle (or multiple thereof). The grid lines make up the legs of the triangle, and the edge of the figure makes up the hypotenuse. Side BC is clearly twice as long as side AD.

The area formula for a trapezoid applies:

  A = 1/2(b1 +b2)h

  A = 1/2(5 +10)(5) = 1/2(75) = 37.5 . . . . square units area

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer:

(a) The probability of getting someone who was not sent to prison is 0.55.

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.

Step-by-step explanation:

We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.

Let the probability that subjects studied were sent to prison = P(A) = 0.45

Let G = event that subject chose to plead guilty

So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40

and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55

(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison

      P(A') = 1 - P(A)

               = 1 - 0.45 = 0.55

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)

We will use Bayes' Theorem here to calculate the above probability;

    P(A'/G) =  \(\frac{P(A') \times P(G/A')}{P(A') \times P(G/A') +P(A) \times P(G/A)}\)      

                 =  \(\frac{0.55 \times 0.55}{0.55\times 0.55 +0.45 \times 0.40}\)

                 =  \(\frac{0.3025}{0.4825}\)

                 =  0.63

Answer:

1

12 ------

3

Answer:

9) 44 ( I'm not sure yet)

10) 14

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

743

Step-by-step explanation:

23+23=46

789-46=743

Answer:

743

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

we fill in x as -9

f(-9)=-9^2-(-9)+4

f(-9)=81+9+4

f(-9)=90+4

f(-9)=94

Hopes this helps please mark brainliest

Answer:

  mx -y = 4m -7

Step-by-step explanation:

Standard form is ...

  ax +by = c

where a, b, c are mutually prime integers and a > 0.

If we assume m > 0, then we need to collect the variable terms on the right side of the equation, so the coefficient of x will be positive.

  y -7 = mx -4m . . . . eliminate parentheses

  -7 = mx -y -4m . . . . subtract y

  4m -7 = mx -y . . . . . add 4m

  mx -y = 4m -7 . . . . . . standard form

The formula to calculate the total amount in her savings account after y years, with an interest of 7% is:

Where S is the inicial saving

Thereby, after 5 years and a total of $1000.00 in her account,

Therefore, Norma's initial deposit was $712.99

From the information given in the table you know that 107 people like chocolate and that 12 teens like chocolate. Then, the relative frequency for which the exercise asks will be:

Therefore, the relative frequency of teens who like chocolate is 0.11.

Answer:

To evaluate a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers).

Here is a variable expression: 3x+7.

To evaluate this expression when x=2 mean to substitute 2 in place of x, and find the number (the value). [see note below]

3(2)+7=6+7=13.

When x=2, the expression has a value of `13.

If we evaluate the same expression when x=10, we get:

3(10)+7=30+7=37.

Here's a variable expression with two variables : 3x−2y

In order to evaluate this expression, we'll need values (numbers) for both x and y.

Evaluate the expression 3x−2y when x=4 and y=5

3(4)−2(5)=12−10=2

If we change the values to x=5 and y=4, we get

3(5)−2(4)=15−8=7.

Note:

To avoid saying exactly the same thing over and over, we use the following to mean the same thing:

evaluate the expression when x=2

evaluate the expression for x=2

evaluate the expression at x=2

evaluate the expression assuming x=2

evaluate the expression if x=2

Also

If there is only one variable in an expression, we don't always need to mention it:

evaluate the expression for 2

evaluate the expression at 2

Answer:

the function g because the graphs the graphs of f and g are symmetrical about the line y=x

Step-by-step explanation:

Inverse functions are symmetrical to each other about the line y=x. This means that if you flip a function over y=x, that will be its inverse function. It makes sense because inverse functions turn the input of the original function (x) into the output of the inverse function (y), so y=x and x=y. Take the point (-6,0) on f, it becomes (0,-6) on g.

Answer:

12 es el factor común más grande

Step-by-step explanation:

Answer:

Step-by-step explanation:

A nonagon has nine sides.

The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.

Each interior angle = 180°-exterior angle = 140°.

13x + 10° = 140°

x = 10°

Answer:

\(r \approx 2.41\%\)

Step-by-step explanation:

The computation of the approximate new interest rate is shown below:

As we know that there are four quarters in a year so

The new equation is

\(A = 250(1 + r)^{4t}\)

Now to determine the value of interest rate,i.e r, so place this to the first equation.

So,

\(250(1.1)^{t} = 250(1 + r)^{4t}\)

\(1.1^{t} = (1 + r)^{4t}\)

1.1 = (1 + r)^4

\(\sqrt[4]{1.1} = 1 + r\)

\(r = -1 + \sqrt[4]{1.1}\)

\(r \approx 0.0241\)

\(r \approx 2.41\%\)

We simply applied the above formula so that the interest rate could come

Answer:

C. Line chart

Step-by-step explanation:

Answer:

B. Histogram

Step-by-step explanation:

Histogram uses time.

Answer:$1.5

$30*5/100=15/10=3/2=$1.5

Step-by-step explanation:

Answer:

y = x - 7

Step-by-step explanation:

Parallel lines have the same gradient in this case 1 is the gradient.

Using the point (8,1) we can form our own equation.

1 will be y, 1 will be m, 8 will be x

All we have to do is find C in order to form the equation y=mx+c

1 = 1(8) + c

1 = 8 + c

C = - 7

Therefore;

y = x - 7

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Value of Cos(70 degree) = 0.34202014

degree/radian:

(angle in degree) (angle in radian)

Answer: C

Square the binomial

The Simplification of the given expression : \(10n -n ^2 - 9\)

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Brayden wants to simplify the given expression;

\(4n - (n -3)^2\)

He begins by distributing the negative to the terms inside the parentheses. This is a wrong approach to simplify the given expression.

He should have done the following steps;

First square the term, then distribute the negative sign and then combine the like terms.

\(4n - (n -3)^2\)

Simplification of the given expression:

\(4n - (n ^2 - 6n + 9)\\\\4n -n ^2 + 6n - 9\\\\10n -n ^2 - 9\)

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The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.

Here we want to see, based on a graph, how many solutions does the cubic equation:

x³ + 6x² + 12x +8 = 0

The graph of the function:

g(x) = x³ + 6x² + 12x +8

Can be seen below, the number of real solutions that the equation:

x³ + 6x² + 12x +8 = 0

has, will depend on how many times the graph intercepts the x-axis.

We can see that there is only one intercept, so there is one real solution.

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Answer:

\(\frac{5}{42}\)

Step-by-step explanation:

It makes a difference if the marbles are place bag into the bag after selecting.  Since this is not stated, I am assuming that once a marble is selected, it is not placed back in the bag.

\(\frac{5}{9}\) x \(\frac{4}{8}\) x \(\frac{3}{7}\) = \(\frac{60}{504}\)  This simplified would be \(\frac{5}{42}\)  The 5 represent the number of blue marbles available our of 9 total marbles.  Next, we only have 4 blue marbles available out of a total of now 8 marbles and lastly, for the third draw we only have 3 blue marbles available and only 7 total marbles are left.

If the marbles are replaces that changes the problem and the answer would be \(\frac{5}{9}\) x \(\frac{5}{9}\) x \(\frac{5}{9}\) = \(\frac{121}{729}\)