In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°. Find the length of r, to the nearest 10th of an inch.

Answer:

(1st option) x>-3

Step-by-step explanation:

therefore, x is greater than negative three

x>-3

Answer:

Median

Step-by-step explanation:

Answer:

21.3 in

Step-by-step explanation:

because yes.

Answer:

its B. 21.3

Step-by-step explanation:

edge2021

Answer:

1

Step-by-step explanation:

Ratio between ABC and ADE
BC/DE = AB/AE

1/9 = x/9
x=1

Step-by-step explanation:

I think 5/21 is the answer when you multiply 5/12 and 12/21

The typical concentration of hydrogen ions in human saliva is of H* = 10^(-7), using the logarithmic equation.

The logarithmic equation in the context of this problem is presented as follows:

pH = -log(H*).

In which the parameter H* is the concentration of hydrogen ions of the substance.

For the human saliva, the pH has a numeric value as presented as follows:

pH = 7.

Hence the concentration is calculated as follows:

7 = -log(H*).

log(H*) = -7.

The power of 10 and the logarithm are inverse functions, hence the power of 10 can be inserted into both sides of the equality to isolate the concentration variable H*.

10^(log(H*)) = 10^(-7)

H* = 10^(-7).

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Using it's concept, there is a 0.2344 = 23.44% probability that you will choose a block labeled with a T or a block labeled with a 6.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For each block, there are 8 outcomes, since there are 2 blocks, there are 8² = 64 total outcomes. For the desired outcomes, we have that:

Hence there are 8 + 7 = 15 desired outcomes, and the probability is given by:

p = 15/64 = 0.2344.

0.2344 = 23.44% probability that you will choose a block labeled with a T or a block labeled with a 6.

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Answer:

\(6x+5\)

Step-by-step explanation:

Given that:

Perimeter of the trapezoid = \(15x+11\)

Shorter base = \(3x+4\)

One leg = \(2x+3\)

Second base = \(4x-1\)

To find:

The length of fourth Side = ?

Solution:

Let us have a look at the perimeter of a trapezoid.

Perimeter = Sum of all the sides

Let the fourth side = \(y\)

Using the formula and putting the given values:

\(15x+11=3x+4+2x+3+4x-1+y\\\Rightarrow 15x+11=9x+6+y\\\Rightarrow y = 15x-9x+11-6\\\Rightarrow y =6x+5\)

Fourth side is: \(6x+5\)

Country B has a median wind speed that is higher than country A does.

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It could be considered "the intermediate" value for a set of data.

An ordered data set's median is its middle number. The mean is calculated as the product of all values divided by all possible values.

The entire distance traveled by the object in a specific amount of time is its average speed. A scalar quantity, average speed, exists. The magnitude serves as its representation, and it lacks direction.

The typical wind speeds for two nations have been provided to us.

Country A's median equals the box's second term (1+9.5).

=5.25, which is the box's seventh word.

B's median is equal to (1.2+11)/2.

=6.1, where 9 is the term.

As a result, the median for country B is higher than the median for country A, with a value of 7 for A and 9 for B.

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Answer:

1.43 pounds per jar

Step-by-step explanation:

you can't equally divide 15.73 between 11 jars so it will be a fraction, however 15.73 divided by 11 = 1.43

The height of each individual cracker is one-eighth inch. Then the correct option is B.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other.

Each cracker measures 2 inches in length by one and one-half inches in width.

The volume of the column is 15 inches cubed.
If there are 40 crackers in the column

The height of the cracker will be

\(\rm h = \dfrac{15}{1.5*2}\\\\h = 5\)

The height of each individual cracker will be

\(\rm h_c = \dfrac{5}{40}\\\\\\h_c = \dfrac{1}{8}\)

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Answer:

Step-by-step explanation:

is the answer

Answer: D. 3/40

Step-by-step explanation:

There is a 6/30 chance that Cara got a date that was a multiple of 5 since there are 6 multiples of 5 in a matter of the 30 days of June (5, 10, 15, 20, 25, 30). There is also a 3/8 chance that she will chose a vowel in the word MATHLETE since there are 3 vowels within these 8 letters (A, E, E). With this information, you must multiply the fractions of 6/30 and 3/8 together in order to find the probability of chosing both a multile of 5 as well as a vowel. This can be done by multiplying the numerators together and the denonimators together and then simplifying the fraction to receive an answer of 3/40.

The total area of the pyramid is (24√3 + 72) square units or 113.57 square units.

A hexagonal pyramid is a 3D design in which the base is hexagonal and the faces or sides are isosceles triangles, which come together to form the hexagonal pyramid at the summit of the pyramid. A hexagonal pyramid has six sides on the base and six isosceles triangles on the sides.

Given a hexagonal pyramid,

base length = 4

slant height = 6

area of pyramid = sum of the area of the base to the lateral area

area of pyramid = A(base) + A(lateral)

Area of base = 3√3/2*(a²)

a = base length = 4

Area of base = 3√3/2*(4²)

Area of base = 24√3 square units

now lateral area or area of triangular faces,

lateral area = 6*1/2*b*h

h = height of triangle = 6

b = base of triangle = 4

lateral area = 6*1/2*4*6

lateral area = 72 square units

total area =  A(base) + A(lateral)

total area = (24√3 + 72) square units

Total area = 113.57 square units.

Hence the area of the pyramid is (24√3 + 72) square units or 113.57 square units.

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Answer:

R=22% , T=8yrs , P=$250

I=PRT/100

I=250×22×8/100

I=$440.00

The Interest that's earned will be $440.

The formula for calculating simple Interest will be:

= PRT/100

where,

P = $250

R = 22%

T = 8 years

Therefore, the simple interest will be:

= (250 × 22 × 8) / 100

= 44000/100

= 440

Therefore, the simple interest is $440.

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The Solution:

The Multiples of 6:

The Multiples of 4:

The smallest number of the two lists is 12, so the Lowest Common Multiple of 6 and 4 is 12

Answer:

1) 92,22,66

2) 106,13,61

3) 87,34, 59

4)20,74,86

Step-by-step explanation:

1) Let the unknown angle be x

92 + 22 + x= 180( Sum of angles in a triangle )

114+ x = 180

x= 180-114

   =66

2) 106+ 13 + x =180

119 +x = 180

x= 180-119

x= 61

3) 59+34 +x = 180

93+x = 180

x= 180-93

   =87

4) 86+74 +x=180

160 +x =180

x= 180-160

 =20

Answer:

the correct answer has to be c

The given vector is v = -3 4 -1 0. The given vector is not in the range of t(x).

To determine if this vector is in the range of t(x) = ax where a = 1 -2 0 3 2 1, we need to check if there exists a vector x such that t(x) = ax = v. This can be represented as the following equation:

1x1 - 2x2 + 0x3 + 3x4 + 2x5 + 1x6 = -3

We can solve this equation using Gaussian elimination. After row operations, we can obtain the following reduced row-echelon form:

1 0 0 0 0 3/2 = -3

Since the left-hand side does not equal the right-hand side, we can conclude that the given vector is not in the range of t(x).

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Answer:

f(1) = -1 on graph then look where it cuts the graph and read the value of y. for this case f(1)=0

Therefore, the radius r of each of the small circles multiplied by \((3sqrt(3)/2)\) to get the length of the diameter AB of the big circle.

A circle is a geometric form made up of all points that are spaced apart by a predetermined amount, known as the radius, from a specific point known as the center. The circumference of a circle is determined by the formula C = 2r, where r denotes the radius and (pi) denotes a mathematical constant roughly equivalent to 3.14159. Numerous areas of mathematics, science, and daily living frequently involve circles. They have a number of crucial characteristics that make them helpful in a variety of applications.

given

The line section PQ is the following length:

PQ is equal to \(sqrt(3r2/4) = sqrt(3)/r.\)

In a similar manner, we can determine how long the line section QR is:

OQ2 - OR2 = QR2 = r2/4 - r2 = QR2 = -3r2/4

Therefore, QR is a line that goes beyond the spot R rather than a line segment.

The length of the large circle's diameter AB is determined by adding the lengths of PQ, QR, and RP, each of which is equivalent to (sqrt(3)/2)r. As a result, we have:

\(AB = 3 * (sqrt(3)/2) (3sqrt(3)/2)r = r\)

Therefore, the radius r of each of the small circles multiplied by \((3sqrt(3)/2)\) to get the length of the diameter AB of the big circle.

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Answer:

1.25%w

Step-by-step explanation:

I can't Explain It In Words So ima add an equation. 0.3 divided by 24 =0.0125

0.0125 x 100 = 1.25

1.25 x the number of weeks she works out. (unknown)

Option fourth ''Table B, because the given condition is that the student is taking a foreign language" is correct.

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

We have two tables given in the question.

The conditional relative frequency tables show the results of a survey asking students whether they are taking a foreign language or not.

The condition is: "Assuming a student is taking a foreign language"

Table B can be used to answer the above statement.

Thus, option fourth ''Table B, because the given condition is that the student is taking a foreign language" is correct.

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Answer:

Option b: Table A, because the given condition is that the student is taking a foreign language.

Step-by-step explanation:

on ed

Answer:

Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.

Step-by-step explanation:

I took the test.

If the columns of matrix B are linearly dependent, then the columns of AB are also linearly dependent.

Suppose the columns of matrix B are linearly dependent, which means there exist constants c₁, c₂, ..., cₙ (not all zero) such that c₁b₁ + c₂b₂ + ... + cₙbₙ = 0, where b₁, b₂, ..., bₙ are the columns of B.

Now, let's consider the product AB. Suppose A is an m × n matrix.

The jth column of AB is given by the product AB(:, j) = A(b₁j) + A(b₂j) + ... + A(bₙj), where b₁j, b₂j, ..., bₙj are the jth columns of B.

Substituting the linear dependence relation for the columns of B into the expression for AB(:, j), we get:

AB(:, j) = A(c₁b₁ + c₂b₂ + ... + cₙbₙ)

         = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

Since matrix multiplication distributes over column vectors, we have:

AB(:, j) = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

This shows that the jth column of AB can be expressed as a linear combination of the columns of A, multiplied by the corresponding coefficients c₁, c₂, ..., cₙ. Therefore, if the columns of B are linearly dependent, the columns of AB are also linearly dependent.

In conclusion, if the columns of matrix B are linearly dependent, then so are the columns of the product AB.

Complete Question:

Show that if the columns of B are linearly dependent, then so are the columns of AB.

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Factorize the polynomial to obtain the roots of the equation, which are z=0.2, z=0.06, and z=1.  

The z-transform is a mathematical tool that is commonly used to analyze discrete-time signals and systems. In this case, we are given the z-transform of a function f(k) and we are asked to determine the limit of f(k) as k approaches infinity.

From the given expression of the z-transform, we can see that the denominator is a polynomial of degree 3 in z. We can factorize the polynomial to obtain the roots of the equation, which are z=0.2, z=0.06, and z=1.

Since f(infinity) is bounded, it means that the function f(k) approaches a finite value as k goes to infinity. In other words, the limit of f(k) as k approaches infinity exists.

To determine the limit, we need to use the partial fraction decomposition method to express the z-transform as a sum of simpler fractions. Then, we can use the inverse z-transform to obtain the original function f(k).

Once we have the original function, we can evaluate the limit as k approaches infinity by analyzing the behavior of the function at the poles and zeros of the z-transform.

In conclusion, the limit of f(k) when k goes to infinity can be determined by using the partial fraction decomposition and inverse z-transform methods. The behavior of the function at the poles and zeros of the z-transform will determine whether the limit exists and what its value is.
 

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According to the question The Simplex method to solve the following LP The optimal solution for the given LP is x₁ = 3, x₂ = 0, and the minimum value of z is -3.

To solve the given linear programming problem using the Simplex method, we first convert it into standard form. The objective function is to minimize z = -x₁ - 3x₂, subject to the constraints -x₁ + x₂ ≤ 3 and x₁ - 2x₂ ≤ 4, with the non-negativity conditions x₁, x₂ ≥ 0.

We set up the initial Simplex tableau with the coefficients and variables, as well as the right-hand side (RHS) values. The tableau is then modified through iterations to find the optimal solution.

In the first iteration, we choose the most negative coefficient in the z-row, which is -3 corresponding to x₂. We select the s₁-row as the pivot row since it has the minimum ratio of the RHS value (3) to the coefficient in the pivot column (1). We perform row operations to make the pivot element 1 and other elements in the pivot column 0. Therefore, the optimal solution for the given LP is x₁ = 3, x₂ = 0, and the minimum value of z is -3.

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The Simplex method is used to solve linear programming problems by iteratively improving the objective function value until the optimal solution is reached.

To solve the given linear programming problem using the Simplex method, we will follow these steps:

Step 1: Convert the problem into standard form:
  - Introduce slack variables, s₁ and s₂, for the two inequalities.
  - Rewrite the constraints as: -x₁ + x₂ + s₁ = 3 and x₁ - 2x₂ + s₂ = 4.
  - Introduce surplus variables, x₃ and x₄, for the negative variables in the objective function: z = -x₁ - 3x₂ + x₃ + x₄.

Step 2: Set up the initial tableau:
  - Create the initial simplex tableau by writing the coefficients of the decision variables and the right-hand side of the constraints.
  - Include the coefficients of the surplus variables, x₃ and x₄, in the objective function row.

Step 3: Perform the simplex method iterations:
  - Identify the pivot column by selecting the most negative coefficient in the objective function row.
  - Determine the pivot row by finding the minimum positive ratio between the right-hand side and the corresponding pivot column elements.
  - Perform row operations to make the pivot element equal to 1 and the other elements in the pivot column equal to 0.
  - Update the tableau by applying the row operations.

Step 4: Repeat the iterations until there are no more negative coefficients in the objective function row or the ratios become negative.

Step 5: Read the solution from the final tableau:
  - The optimal solution occurs when all coefficients in the objective function row are non-negative.
  - The values of the decision variables (x₁, x₂) are obtained from the corresponding columns in the tableau.
  - The optimal value of the objective function (z) is the negative of the value in the last column.

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The mean of the six other numbers of the data-set is given as follows:

45.

The mean of a data-set is obtained as the sum of all the elements in the data-set divided by the number of elements in the data-set.

The mean of eight numbers is of 41, hence the sum of the eight numbers is of:

Sum = 8 x 41 = 328.

The mean of two of the numbers is of 29, hence the sum of these two numbers is given as follows:

Sum = 2 x 29 = 58.

Then the sum of the remaining six numbers is given as follows:

Sum six numbers = 328 - 58 = 270.

Meaning that the mean of these remaining six numbers is calculated as follows:

Mean = 270/6 = 45.

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After answering the presented question, we can conclude that We know from the graph of f(x) that the vertex is at (0, 2). This means that f(x) takes on its minimum value of 2 when x = 0.

A function's domain is the range of potential values that it can accept. These numbers indicate the x-values of a function like f. (x). The range of potential values that can be utilised with a function is known as its domain. The value that the method returns after inserting the x value belongs to this set. The formula for a function with y as the dependent variable and x as the independent variable is y = f. (x). When a single value of y can be successfully produced from a value of x, that value of x is said to be in the domain of the function.

To find the value of k, we can use the fact that g(x) = f(x + k).

Let's consider the point (-1, 5) on the graph of g(x). This point corresponds to the point (-1 - k, f(-1 - k)) on the graph of f(x), since g(x) = f(x + k).

Similarly, the point (0, 4) on the graph of g(x) corresponds to the point (0 - k, f(0 - k)) on the graph of f(x), and the point (1, 3) on the graph of g(x) corresponds to the point (1 - k, f(1 - k)) on the graph of f(x).

We know from the graph of f(x) that the vertex is at (0, 2). This means that f(x) takes on its minimum value of 2 when x = 0.

The complete question is as follows:

The graph shows f(x). The absolute value function g(x) is described in the table. The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma 2, a point at negative 1 comma 3, and a point at 1 comma 3. x g(x) −1 5 0 4 1 3 2 2 3 3 If g(x) = f(x + k), what is the value of k? k = −2 k is equal to negative one half k is equal to one half k = 2

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Domain - {0, 1, 2, 3}

Range - {2, 5, 8, 11}

The domain is x and the range is y

Hope that helped:)