How would you classify this system of equations? 3x + 2y = –2 and

6x + 4y = 15

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The price of a gallon of milk relative to a pound of butter is 1.25.

The price of a loaf of bread relative to a gallon of milk can be calculated by finding the ratio of the price of a loaf of bread to the price of a gallon of milk.

This ratio can be calculated as follows:

Price of loaf of bread / Price of gallon of milk

= $1.50 / $3.00

= 0.5

Therefore, the price of a loaf of bread relative to a gallon of milk is 0.5.

The price of a gallon of milk relative to a pound of butter can also be calculated by finding the ratio of the price of a gallon of milk to the price of a pound of butter.

This ratio can be calculated as follows:

Price of gallon of milk / Price of pound of butter

= $3.00 / $2.40

= 1.25

Therefore, the price of a gallon of milk relative to a pound of butter is 1.25.

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Side of the cube = 2 cm

Width of the rectangular prism = 9 cm

Length of the rectangular prism = 9cm

Height of the rectangular prism = 4 cm

Now,

The volume of total water (submerged cube)

= width of the rectangular prism x length of the rectangular prism x height of the cube

= 9 x 9 x 2 = 162 cm^3

As we know that 1 cm^3 = 1ml

So,

162 cm^3 = 162 ml

Hence the volume of water required to fill the prism such that the cube is submerged is 162 ml.

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Answer:

\(x=1,\: x=2\)

Step-by-step explanation:

To be honest, you don't need the quadratic formula as you can just factor the polynomial after setting it equal to 0:

\(x^2-3x=-2\\\\x^2-3x+2=0\\\\(x-1)(x-2)=0\\\\x=1,\: x=2\)

If you really need to use the quadratic formula, here's the process:

\(ax^2+bx+c=0\\\\x^2-3x+2=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(2)}}{2(1)}\\\\x=\frac{3\pm\sqrt{9-8}}{2}\\\\x=\frac{3\pm\sqrt{1}}{2}\\\\x=\frac{3\pm1}{2}\\x_1=\frac{3-1}{2}\\ \\x_1=\frac{2}{2}\\\\x_1=1\\\\x_2=\frac{3+1}{2}\\\\x_2=\frac{4}{2}\\ \\x_2=2\)

Answer:

x = 13

Step-by-step explanation:

(11x - 15) + (5x - 13) =180

16x -28 = 180

16x = 208

x = 13

The value of x in the given figure is 12.375

The linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

The sum of angles of a linear pair is always equal to 180°.

Given that, a line with a ray, making angles (11x - 15)° and (5x - 13)°

Here we will use the concept of linear pair sum,

Therefore,

11x-15 + 5x - 13 = 180°

16x - 18 = 180°

16x = 198

x = 12.375

Hence, the value of x in the given figure is 12.375

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Uh yes I’m sorry I am just trying to get answers

For this visualization, a bar chart would be the best choice.

A bar chart is an effective way to visually compare different categories or groups. In this case, the data analyst can create a bar chart where each bar represents a city, and the height of the bar corresponds to the population of that city. The analyst can include only the top ten most populous cities in North Carolina and color the bars differently based on whether the population is below or above 250,000 people. By doing so, it becomes easy to identify which cities fall below the threshold, as they will have shorter bars compared to those above the threshold. The clear distinction between the bar heights allows for quick visual comparison and provides a straightforward representation of the population distribution among the top ten cities in North Carolina.

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Answer:

A. the answer is supplementary

According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).

To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.

Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.

Therefore, the correct answer is option c) 12:00 local sidereal time.

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Answer:

YES

Step-by-step explanation:

NATRURAL NUMBERS ARE 1 AND UP NON DECIMAL

Answer:

-4y-7

Step-by-step explanation:

- 4 y - 4 + ( - 3 )

We keep the -4y as it is since it can not be simplified. Then we try to open the parentheses. we do this by multiplying by 1.

- 4 y - 4 + 1 * ( - 3)

= - 4 y - 4 - 3

Then we combine the - 4 and -3.

= - 4 y - 7

Answer: I can confirm that it is '-4y-7'

Step-by-step explanation:

Answer:

2

Explanation:

You have to calculate the rise over run. See how many times it rises from the bottom. Then see how many times it takes horizontally to get to the next corner. Not sure if this helped but I tried sorry lol (but dw the answer is correct)

Answer:

a. 54, b. 117, c. 63

Step-by-step explanation:

a. Angle 11 is corresponding to angle 1, which is linear to angle 2, which is 126 degrees. So angle 11 is 180 - 126 = 54 degrees

b. Angle 8 corresponds to angle 14, which is 117 degrees.

c. Angle 7 is linear to angle 8, so it is 180 - 117 = 63 degrees

Answer:

a or <11 is 54 degrees, b or <8 is 117 degrees, c or <7 is 63 degrees

Step-by-step explanation:

A. <2 = <12, <12 + <11 = 180, 180 - 126 = 54

B. <14 = <8, 117 = 117

C. <7 + <8 = 180, 180 - 117 = 63

Answer:

3 weeks

Step-by-step explanation:

Set the equations. Let "amount of weeks" be signified by the variable, x.

First, note that Haley starts with $155, and saves $10 each week:

10x + 155

Next, note that her brother has $230 saved and spends $15 each week:

230 - 15x.

Set the two equations equal to each other:

10x + 155 = 230 - 15x

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 155 and add 15x to both sides of the equation:

10x (+15x) + 155 (-155) = 230 (-155) - 15x (+15x)

10x + 15x = 230 - 155

25x = 75

Next, divide 25 from both sides of the equation:

(25x)/25 = (75)/25

x = 75/25 = 3

3 weeks is your answer.

~

Age demography is important that young people are poised to move into their prime reproductive years.

Demography is a measure of the characteristics or changes in population. Births, deaths, age , marriages, immigration, and periodic census records provide important information in making informed decisions about national policy.

Governments, businesses, and non-governmental organizations use demographic data to learn about population characteristics for many purposes, including policymaking and economic market research.

Age Demographics: In the demographics, it is defined as common to divide the population into three broad age groups, children and youth (under 15) and working-age population (15-64) and elderly population (Ages 65 and Over)

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Answer:

Rounded answer: 9.4 in

Step-by-step explanation:

Circumference: 2 times radius times pi

Or in this case: Diameter times pi

Therefore, 3 times pi

= 9.4247779607694

Or if rounded

= 9.4

Answer:

The best place for your neighbour to put the bird bath would be at the centroid of the triangular yard. The centroid is the point where the three medians of a triangle meet, and it is also the point that is equidistant from all three sides of the triangle. This way the bird bath will be the same distance from each edge of the yard, which is what your neighbour wants. To find the centroid, your neighbour can first draw the medians of the triangle and then find their intersection point.

The probability that the next outcome of the experiment will be state 2, given that state 1 has occurred, depends on the specific context and information about the experiment. Without any further details or background, it is not possible to provide a specific probability value.

To calculate the probability, we need additional information such as the nature of the experiment, the sample space, and any relevant probabilities associated with different outcomes. Once we have this information, we can apply probability theory to determine the probability of transitioning from state 1 to state 2.

For example, if we assume a discrete experiment with a finite sample space, we can calculate the probability by dividing the number of favorable outcomes (transitioning to state 2) by the total number of possible outcomes.

Without specific information about the experiment and its underlying probabilities, it is not possible to determine the exact probability of transitioning from state 1 to state 2. Further details and context are necessary to perform a meaningful calculation.

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The values that satisfy the equation A * X = B are: x = 13/2,

y = -67/6, z = -17/6.

To solve the matrix equation A * X = B, we can use matrix algebra. The equation can be rewritten as:

X = A⁻¹ * B

where A⁻¹ represents the inverse of matrix A.

Let's proceed with the calculation:

First, calculate the inverse of matrix A:

A = [3  2  -1;

    4  1   0;

   -2  3   1;

    0 -1   2]

To find the inverse of A, we can use the formula:

A⁻¹ = (1 / det(A)) * adj(A)

where det(A) represents the determinant of A and adj(A) represents the adjugate of A.

Calculating the determinant of A:

det(A) = 3(1*1 - 0*3) - 2(4*1 - 0*(-2)) - (-1)(4*(-2) - 3*1)

      = 3(1) - 2(4) - (-1)(-11)

      = 3 - 8 + 11

      = 6

Next, calculate the adjugate of A:

adj(A) = [ (1*1 - 0*3)   (0*(-2) - (-1)*3)   (0*3 - 1*(-2));

          (0*1 - 2*3)   (3*(-2) - (-1)*0)   (3*3 - 1*0);

          (0*1 - 1*3)   (1*(-2) - 0*0)      (1*3 - 0*0);

          (4*1 - 0*(-2)) (0*(-2) - 4*3)     (0*1 - 4*0)]

Simplifying the adjugate of A:

adj(A) = [  1  3   2;

          -6  -2  9;

          -3  -2  3;

          4  -24  0]

Now, calculate A⁻¹ using the formula:

A^(-1) = (1 / det(A)) * adj(A)

A^(-1) = (1 / 6) * [ 1  3   2;

                   -6  -2  9;

                   -3  -2  3;

                    4  -24  0]

Simplifying A⁻¹:

A⁻¹ = [ 1/6   1/2   1/3;

          -1   -1/3  3/2;

         -1/2  -1/3  1/2;

          2/3  -4/3   0]

Now, multiply A⁻¹ with B to find the values of x, y, and z:

X = A⁻¹* B

X = [ 1/6   1/2   1/3;

     -1   -1/3  3/2;

    -1/2  -1/3  1/2;

     2/3  -4/3   0] * [12; 7; -3; 8; 9; 0; -11; 1]

Simplifying the matrix multiplication:

X = [ (1/6)*12 + (1/2)*7 + (1/3)*(-3);

     (-1)*12 + (-1/3)*7 + (3/2)*(-3);

    (-1/2)*12 + (-1/3)*7 + (1/2)*(-3);

     (2/3)*12 + (-4/3)*7 + 0*(-3)]

Simplifying further:

X = [ 6 + 7/2 - 1;

     -12 - 7/3 - 9/2;

     -6 - 7/6 - 3/2;

     8 - 28/3]

Simplifying the fractions:

X = [ 13/2;

     -67/6;

     -17/6;

     4/3]

Therefore, the values of x, y, and z that satisfy the equation A * X = B are:

x = 13/2

y = -67/6

z = -17/6

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The complete question is:

Given the matrix equation A * X = B, find the values of x, y, and z that satisfy the equation.

Matrix Equation:

A * X = B

where

A = [3 2 -1; 4 1 0; -2 3 1; 0 -1 2]

X = [x; y; z] (unknown variables)

B = [12; 7; -3; 8; 9; 0; -11; 1]

To determine the inverse of 3 x 3 matrix the steps to follow are given below. For the first row inverse matrix is -24, -20, -5, second row -18, -15, -4 and third row is 5, 4, 1.

Step 1: To begin the process of obtaining the inverse matrix, the given matrix must first be determined to be invertible. To do this, we must determine the determinant of the supplied matrix. A matrix is invertible if the determinant is not equal to 0, but not if it is. If so, move on to the following step. 2. Determine the determinant of the 2 2 minor matrices. The cofactor matrix must be created in step 3. By transposing the cofactor matrix, proceed to step 4 to determine the adjugate or adjoint of the matrix. Step 5: Execute the final step, which involves dividing each term of the adjugate matrix by the determinant value of the supplied matrix.

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Answer:

\(3y + 3y - 12\)

Step-by-step explanation:

This is because if you were to combine like terms, the two beginning values would add up to 6y since adding two y's is just y & 3+3 is 6. & 12 is common sense lol.

Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Yes, it would be possible to use 14C age dating to estimate the age of a dinosaur bone.

Explanation:14C dating is a method used to determine the age of once-living organisms based on the radioactive decay of carbon-14 in their tissues. However, 14C dating is only effective for samples that are less than 50,000 years old. Therefore, it is not possible to use 14C dating to directly date dinosaur bones as they are much older than 50,000 years, and all the carbon-14 would have already decayed.

However, indirect dating methods such as radiometric dating can be used to estimate the age of the rocks in which the dinosaur bones were found. This method is based on the radioactive decay of isotopes in the rocks and can be used to determine the age of the rocks to within a few million years. By association, the age of the dinosaur bones can also be estimated, providing an indirect method of dating them. Therefore, while 14C dating is not useful for directly dating dinosaur bones, it can be used indirectly to estimate their age.

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Answer:

168

____________________________

Five repetitions should be done for each exercise in the preparation drill.

Preparation drills are an important part of any fitness routine, as they allow the muscles and joints to be prepared for the workout ahead. Doing the correct number of repetitions for each exercise in the preparation drill is key to getting the most out of the workout. Generally, five repetitions is recommended for each exercise. This should give the body just enough time to get used to the exercise while still providing enough of a challenge. Doing too many repetitions may lead to fatigue or overstretching, leading to injury. Doing too few repetitions may not be enough to prepare the body and prevent injury. Five repetitions is the ideal number for most preparation drills.

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The conformal map from the horizontal strip {-a < Im(z) < a} onto the right half-plane {Re(w) > 0} is given by h(z) = \(e^(πiz / a)\).

What is exponential function?

The exponential function is a function of the form f(x) = \(e^x\), where e is Euler's number (approximately equal to 2.71828) and x is the input variable. The exponential function is commonly used in various areas of mathematics, physics, and engineering due to its fundamental properties.

The exponential function can be used to locate a conformal projection onto the right half-plane Re(w) > 0 from the horizontal strip -a Im(z) a. onto the right half-plane {Re(w) > 0}, we can use the exponential function. The key is to map the strip onto the upper half-plane first, and then apply another transformation to map the upper half-plane onto the right half-plane.

Step 1: Map the strip onto the upper half-plane

Consider the function f(z) = \(e^(πiz / (2a)\)). This function maps the strip {-a < Im(z) < a} onto the upper half-plane.

Step 2: Map the upper half-plane onto the right half-plane

To map the upper half-plane onto the right half-plane, we can use the transformation g(w) = w², which squares the complex number w.

Combining these two steps, we have the conformal map from the horizontal strip onto the right half-plane:

h(z) = g(f(z)) = \((e^(πiz / (2a))\))² = \(e^(πiz / a)\).

Therefore, the conformal map from the horizontal strip {-a < Im(z) < a} onto the right half-plane {Re(w) > 0} is given by h(z) = \(e^(πiz / a)\).

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Let's see

Total votes be x

Now total percentage of vote

Not voted=4%

Find not voted

Total voted

Answer:

73649 of 80000 (or 91.8%)

Step-by-step explanation:

Note:  An electorate is a person who is entitled to vote in an election - it does not necessarily mean they have voted in the election.

If 36000 votes represents 45% of the electorate (note: it does not say this figure represents 45% of the votes), then the total number of electorates is:

\(\implies \sf \dfrac{36000}{45}\times 100=80000\)

If three candidates received 25%, 20% and 6% of the votes, then the winning candidate received:

⇒ 100% - 25% - 20% - 6% = 49% of the votes

If the winning candidate received 36,000 votes, then:

⇒ 49% of the votes = 36,000 votes

Therefore, the total number of votes is:

\(\implies \sf \dfrac{36000}{49}{ \times 100=73469\)

To find the percentage of electorates that voted:

\(\implies \sf \dfrac{73469}{80000} \times 100=91.8\% \:\: (1\:d.p.)\)