Find the measure of the numbered angle, and name the theorem used that justify your work.

∠2 and ∠4 and ∠4 and ∠5 are supplementary.

m ∠ 4=105

The matrix that shows the number of one-stopover trips between any two vertices will have non-zero entries for all pairs of vertex, reflecting all the possible indirect connections between them.

To calculate the matrix that shows the number of one-stopover trips between any two vertices, we can use the adjacency matrix. We can square the adjacency matrix to get a new matrix where each entry (i,j) represents the number of one-stopover trips from vertex i to vertex j. This is because the (i,j) entry in the square of the adjacency matrix represents the number of ways to get from vertex i to vertex j in two steps (one stopover).

There are no zeros in this matrix because the original adjacency matrix represents all the possible connections between vertices. If there were a zero in the adjacency matrix, it would mean that there is no direct connection between those two vertices. However, even if there is no direct connection, there may still be a one-stopover trip between them. For example, if there is no direct flight from city A to city C, but there is a flight from A to B and from B to C, then there is still a one-stopover trip between A and C.

Therefore, the matrix that shows the number of one-stopover trips between any two vertices will have non-zero entries for all pairs of vertices, reflecting all the possible indirect connections between them.

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The given expression can be written in its simplest form by using the rule of exponents.

There are three components to the given expression, there is a negative base term -27, there is a base term with negative exponent x^-9, and both base terms have a fractional exponent 1/3.

Solving the term with negative exponent, the rule dictates that a term with a negative exponent can be written as its reciprocal. As x^-n=1/x^n,

x^-9=1/x^9

Hence, the expression becomes (-27/x^9)^1/3

The fractional exponent is applied to both the base terms. As (x^n)^m=x^nm,

(-27/x^9)^¹/₃=(-27)^1/3/(x^9*1/3)

Solving the negative term, the rule dictates that when there is a negative term with an odd number power, the negative sign can be extracted from the expression.

Hence,

(-27)^1/3=-(27^1/3)

Further simplifying the term, we know that 3^3=27,

-(27^1/3)=-(3^3*1/3)

Multiplying the powers for the entire expression,

-(3^3*1/3)/(x^9*1/3)=-3^1/x^3=-3/x^3

The simplest form of the expression (-27x^-9)^¹/₃ is -3/x^3

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The figure that correctly demonstrates that f is not a function of x is graph (c)

The missing figure that represent the list of options is added as an attachment

To demonstrate a function using a straight line is referred to as a vertical line test.

The vertical line test is such that a vertical line is drawn from the x-axis in an upward and/or downward direction.

If the line touches the curve or line of the function more than once, then the graphed equation is not a function of x

The graph that carries out this scenario is graph (c)

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Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

The given statement is incomplete, however, based on the given information, the answer can be explained. Here are the possible answers to your question.Section 5.2 Homework Question 4, 5.2.21-T HW Score: 14.20%, 1.14 of 8

pointsO Points: 0 of 1SaveAssume that when adults with smartphones are randomly selected, 37% use them in meetings or other professional settings.What is the probability that among 10 randomly selected adults with smartphones, the number who use them in meetings or other professional settings is exactly 3?As per the given problem, it is required to calculate the probability that among 10 randomly selected adults with smartphones, the number who use them in meetings or other professional settings is exactly 3. To calculate the probability, we will use binomial probability distribution, as it is dealing with a fixed number of trials.Here, the random variable X represents the number of adults using their smartphones during meetings or other professional settings.So, the probability of X is: P(X=3) = nCx * p^x * q^(n-x)Where, n = 10, x = 3, p = 0.37 and q = 1 - p = 0.63Now, substituting the values, we get:P(X=3) = 10C3 * 0.37^3 * 0.63^7≈ 0.2572Therefore, the probability that among 10 randomly selected adults with smartphones, the number who use them in meetings or other professional settings is exactly 3 is approximately 0.2572.

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Out of a sample of 75, we expect 28 adults to use their smartphones in meetings or classes.

Explanation: Given information is that, p is 37% = 0.37 (Proportion of people who use smartphones in meetings or classes).

q = 1 - p

= 1 - 0.37

= 0.63 (Proportion of people who do not use smartphones in meetings or classes), n is 75 (Sample size).

The expected value of the proportion of people who use smartphones in meetings or classes is given by:

μ = E(X)

= n × p

= 75 × 0.37

= 27.75

The expected number of adults who use smartphones in meetings or classes is the nearest whole number to 27.75, which is 28 adults.

Conclusion: Out of a sample of 75, we expect 28 adults to use their smartphones in meetings or classes.

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Answer:

1. 33%

2. 16%

3. 50%

Step-by-step explanation:

The value of the side x = 114. 34

We have that the six different trigonometric identities in mathematics are listed thus;

We also have that their ratios are given as;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the diagram, we have;

Adjacent side = 98

Hypotenuse = x

Angle = 31

cos 31 = 98/x

cross multiply

x = 114. 34

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Answer:

Answer:answer is 2xsquare × 3xsquare

Step-by-step explanation:

when we multiply both so the answer is 6xsquare y square  More

Answer:

  6x²y³

Step-by-step explanation:

An exponent is used to signify repeated multiplication. Numerical values can be multiplied in the usual way.

__

  (2)(x)(x)(3)(y)(y)(y)

has the factor x repeated 2 times, and the factor y repeated 3 times. The product of 2 and 3 is 6. The expression can be simplified to ...

  = 6x²y³

Answer:

60% of 20 is 12

40% of 20 is 8

12 in California

8 in Alaska

The projection matrices P1 and P2 onto the lines through vectors a1 and a2, respectively, can be computed by\(P1 = A1(A1^T A1)^(-1)A1^T\) and\(P2 = A2(A2^T A2)^(-1)A2^T\), where A1 and A2 are the matrices formed by the vectors a1 and a2 as columns. The product P1P2 represents the projection onto the subspace spanned by a1 and a2.

Given vectors a1 = (-1, 2, 2) and a2 = (2, 2, -1), we can construct the matrices A1 and A2 as A1 = (-1, 2, 2) and A2 = (2, 2, -1). To compute the projection matrix P1 onto the line through a1, we use the formula \(P1 = A1(A1^T A1)^(-1)A1^T\). Similarly, for the projection matrix P2 onto the line through a2, we use the formula\(P2 = A2(A2^T A2)^(-1)A2^T\).

To find the product P1P2, we multiply the projection matrices P1 and P2. The resulting product represents the projection onto the subspace spanned by a1 and a2. This means that any vector projected onto this subspace will be the closest approximation to the original vector within the span of a1 and a2. The product P1P2 combines the projections onto the lines through a1 and a2, effectively projecting the vector onto the plane defined by the span of a1 and a2.

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1) note that when graphed, 3x - 4y = 7 will show a straight line. This means that it is a linear equation.

2) when written in standard form, the above equations will become:

3) the linear equation for the above is y = (-1/2)x + 150. See the graph attached.

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it.

A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant.

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The mean is the best measure οf center, and it equals 7.3.

Given that a line plot displays the number of roses purchased per day at a grocery store.

We need to find the mean,

So,

Mean = 6+6+7+7+8+8+8+9+9+10+1 / 11 = 7.3

Hence, the mean is the best measure οf center, and it equals 7.3.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

-20.5

-8

4.5

17

Step-by-step explanation:

y = 2.5x - 8

x = -5

y = 2.5(-5) - 8

y = -12.5 - 8

y = -20.5

x = 0

y = 2.5(0) - 8

y = 0 - 8

y = -8

x = 5

y = 2.5(5) - 8

y = 12.5 - 8

y = 4.5

x = 10

y = 2.5(10) - 8

y = 25 - 8

y = 17

Answer:

it a because digkjg

Step-by-step explanation:

1 goes to 2 adnd it stops like that

The interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

To create an interval containing the middle 95% of the data based on the simulation results, we can use the concept of confidence intervals. Since the simulation was repeated 100 times, we can calculate the proportion of tails in each set of 100 flips and then find the range that contains the middle 95% of these proportions.

Let's calculate the interval:

Calculate the proportion of tails in each set of 100 flips:

Proportion of tails = 44/100 = 0.44

Calculate the standard deviation of the proportions:

Standard deviation = sqrt[(0.44 * (1 - 0.44)) / 100] ≈ 0.0497

Calculate the margin of error:

Margin of error = 1.96 * standard deviation ≈ 1.96 * 0.0497 ≈ 0.0974

Calculate the lower and upper bounds of the interval:

Lower bound = proportion of tails - margin of error ≈ 0.44 - 0.0974 ≈ 0.3426

Upper bound = proportion of tails + margin of error ≈ 0.44 + 0.0974 ≈ 0.5374

Therefore, the interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

Now, we can compare the observed proportion of 44 tails in 100 flips with the simulation results. If the observed proportion falls within the margin of error or within the calculated interval, then it can be considered consistent with the simulation results. If the observed proportion falls outside the interval, it suggests a deviation from the expected result.

Since the observed proportion of 44 tails in 100 flips is 0.44, and the proportion falls within the interval of 0.3426 to 0.5374, we can conclude that the observed proportion is within the margin of error of the simulation results. This means that the result of 44 tails in 100 flips is reasonably likely to occur with a fair coin based on the simulation.

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Answer:

c= -2

Step-by-step explanation:

In linear equation, 15% is percentage of students are faster than pat .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                            The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

             = (100 - 85 )%

             = 15%

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Answer:

I think it's a

Step-by-step explanation:

have a wonderful day!

Let's say that the cost of each postcard is "p".

We can write the equation as follows:

7p + 15.89 = 19.32

If we solve for "p", we get:

7p = 19.32 - 15.89

p = 3.43 / 7

p = $<<3.43/7=0.49>>0.49

Therefore, each postcard costs $0.49.

Answer:

B

Step-by-step explanation:

their is 5 different colors and they look the about the same and you spin it 100 times so

5 divided by 100 you would get 20

The image of (-3, 0, 1) under the linear transformation t is (-14, 5, -6).

To find the image of the vector (-3, 0, 1) under the linear transformation t: R^3 → R^3, we can use the linearity property of the transformation.

Since t is a linear transformation, we know that it preserves addition and scalar multiplication.

We can express the given vector (-3, 0, 1) as a linear combination of the standard basis vectors (1, 0, 0), (0, 1, 0), and (0, 0, 1):

(-3, 0, 1) = -3*(1, 0, 0) + 0*(0, 1, 0) + 1*(0, 0, 1)

Using the linearity of t, we can apply the transformation to each component separately:

t(-3, 0, 1) = -3t(1, 0, 0) + 0t(0, 1, 0) + 1*t(0, 0, 1)

Now we substitute the given values for t(1, 0, 0), t(0, 1, 0), and t(0, 0, 1):

t(-3, 0, 1) = -3*(4, -1, 2) + 0*(-2, 1, 3) + 1*(-2, 2, 0)

Evaluating the expression, we get:

t(-3, 0, 1) = (-12, 3, -6) + (0, 0, 0) + (-2, 2, 0)

Adding the vectors component-wise, we obtain:

t(-3, 0, 1) = (-14, 5, -6)

Therefore, the image of (-3, 0, 1) under the linear transformation t is (-14, 5, -6).

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the answer would be \(\frac{2}{5}\) because 5+3=8 and \(\frac{8}{20}\) = \(\frac{2}{5}\)

Hope this helps

Have a great day/night

The required probability for the cube to land and shows 5 or  6 on the top face is 2/5.

Given that,

The table shows the results of a number cube with faces labeled from 1 to 6 rolled 20 times.
To determine what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total number of frequencies = 3 + 3 + 6 + 3 + 5 = 20
Total frequencies ot favorable outcome = 3 + 5 = 8
Probability = 8 / 20 = 2 / 5

Thus, the required probability for the cube to land, and show 5 or  6 on the top face is 2/5.

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If the amount of caffeine contained in 150 mL of coffee in 110 mg , then the concentration of coffee as percentage of weight per volume is  73.3%    .

In order to calculate the concentration of caffeine in the cup of coffee, to be expressed as a percentage of weight per volume, we need to know the weight of caffeine in 150 mL of coffee.

The concentration of caffeine in the coffee can be calculated as :

Concentration of caffeine = (Weight of caffeine / Volume of coffee) × 100%

Volume of Starbucks coffee is = 150 mL ;

Weight of caffeine in the Starbucks coffee = 110 mg ;

So , the Concentration of caffeine = (110 mg / 150 mL) × 100% ;

⇒ Concentration of caffeine = 0.733 mg/mL x 100%

⇒ Concentration of caffeine = 73.3 mg/100 mL .

Therefore, concentration of caffeine in cup of Starbucks coffee, expressed as a percentage of weight per volume, is 73.3 % .

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The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.

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Answer:

The answer is: x-y-10=0

Answer:  b

Step-by-step explanation:

I think

The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

To find the total area of the solid figure, we need to determine the areas of each face and then add them together.

The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.

First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:

Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches

Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches

Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.

Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:

Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.

Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:

Total area = Area of rectangular prism + Area of triangular pyramid

Total area = 90 square inches + 27sqrt(3) / 4 square inches.

Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

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