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One T-shirt is sold for every 5 people who attend a concert. What is the ratio of people to T-shirts sold? The ratio of people to T-shirts sold is

The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Answer:

The first answer is correct. 11n

Step-by-step explanation:

Regarding organizational effectiveness, the best level of cohesiveness in groups is moderate. Moderate cohesiveness in groups strikes a balance between too little and too much cohesion.

While some level of cohesiveness is necessary for effective group functioning, extreme levels of cohesiveness can lead to negative outcomes. Moderate cohesiveness allows for a healthy level of cooperation, collaboration, and shared commitment among group members. It fosters a sense of unity and promotes positive group dynamics, such as effective communication, trust, and mutual support. This level of cohesiveness encourages group members to work together towards common goals, leading to improved performance and productivity. On the other hand, both low and extremely high levels of cohesiveness can have detrimental effects on group effectiveness. Low cohesiveness can result in disengagement, lack of collaboration, and decreased commitment to group goals. Conversely, extremely high cohesiveness can lead to groupthink.

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Answer:

x = 7

Step-by-step explanation:

We are given a triangle.

We know that one side is 5x -2 and another is 33. We also know that two of the angles are congruent (equal to each other).

By base-angles theorem, the sides that are opposite of the congruent angles are congruent.

This means that the triangle is an isosceles triangle, so 5x - 2 = 33.

We can solve this equation; start by adding 2 to both sides.

5x - 2 = 33

   +2    +2

_____________

5x = 35

Divide both sides by 5.

x = 7

Given :-

To find:-

Solution :-

In the given triangle two base angles are equal .

As we know that the sides opposite to equal angles are equal . here the sides opposite to equal angles are , 5x - 2 and 33 ; therefore ,

\(\implies 5x - 2 = 33 \\\)

\(\implies 5x = 33 +2 \\\)

\(\implies 5x = 35 \\\)

\(\implies x =\dfrac{35}{5}\\\)

\(\implies \underline{\underline{ x = 7}} \\\)

Therefore the value of x is 7.

and we are done!

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer: 387 1/2 miles

Step-by-step explanation:

From the question, we know that 20 gallons can be used for 500 miles. Therefore, the gallons of gas per mile will be:

= 500/20

= 25 gallons per mile.

The number of miles that a 15 1/2 gallons will use will be:

= 25 × 15 1/2

= 387 1/2 miles

Answer:

Step-by-step explanation:

True

False

False

Answer: Infinitely many

Step-by-step explanation:

Let the value of \(\frac{x}{y}\) be \(k\), where \(k\) is an integer. Then, \(x=ky\).

\(\implies \frac{x+1}{y+1}=\frac{ky+1}{y+1}=\frac{k(y+1)}{y+1}+\frac{1-k}{y+1}=k+\frac{1-k}{y+1}\)

This means we need \(\frac{1-k}{y+1}\) to be an integer. If we let this fraction equal \(n\), then:

\(\frac{1-k}{y+1}=n \implies 1-k=ny+1 \implies y=\frac{-k}{n}\)

From this, we see that there are infinitely many pairs.

The optimal solution using the two-phase simplex method for the given linear programming problem, we first need to convert it into standard form by introducing slack and surplus variables.

The problem can be rewritten as follows: Minimize Z = 2x1 + 3x2
subject to: 2x1 + 4x2 + s1 = 4
-x1 - 3x2 - s2 = -36
x1 + x2 = 10
x1, x2, s1, s2 ≥ 0

In the first phase of the simplex method, we introduce artificial variables and solve the problem to obtain an initial feasible solution. The initial tableau is constructed with the objective row as [0, 0, -M, -M, 0] and the constraint rows corresponding to the coefficients of the variables and artificial variables. Here, M represents a large positive number.

Next, we perform the simplex iterations to improve the solution. At each iteration, we pivot to select the entering and leaving variables until the optimal solution is reached. The iterations involve calculating the ratios of the right-hand side to the pivot column elements and selecting the minimum ratio as the pivot row.

In the second phase, we remove the artificial variables and proceed with the simplex iterations using the revised tableau. The iterations continue until the optimal solution is obtained, and the objective function value is minimized.

Unfortunately, I cannot generate the detailed steps and iterations of the two-phase simplex method in this text-based format. It requires a series of calculations and tabular representation. However, by following the steps of the two-phase simplex method, including initializing the tableau, performing simplex iterations, and removing the artificial variables in the second phase, you can find the optimal solution for the given problem.

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A snowmobile can be rented for $14 per day with a $50 initial fix cost.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Let the initial fee be x and daily fee be y,

92=x+3y

120=x+5y

x+5y=120

x+3y=92

Subtract both,

2y=28

y=$14

x+5y=120

x+70=120

x=$50

The daily fee to rent a snowmobile is $14 per day with a initial fix fee of $50.

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We want to know what percent is 85 out of 125.

For doing so, we do the division 85/125 and multiply by 100%. In this case, we obtain:

This means that 85 is 68% of 125.

Answer:

==============================

We have the following linear equation to represent given situation:

Solve it for x to get the average number of miles:

In linear equation, He ride 3 miles each day.

Variable: x = Constant distance distance traveled each day.

Equation : 10+4x= 22

What is a formula for linear equations?

Total distance needs to travel = 22 miles

Distance already traveled = 10 miles

He will ride bicycle for 4  more days.

Let x = Constant distance distance traveled each day.

Total distance = 10+4x

10+4x = 22

4x = 22 - 10

4x = 12

  x = 3

Hence, he rode 3 miles each day.

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The circumference of the given circle in which area of the circle is \(62cm^{2}\)

is \(27.8832cm\)

What about circumference of circle?

The circumference of a circle is the distance around the edge of the circle. It is calculated using the formula: C = 2πr where C represents the circumference of the circle, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Alternatively, the circumference of a circle can be calculated using the diameter of the circle, which is the distance across the circle passing through its center. The formula for the circumference of a circle using its diameter is: C = πd where C represents the circumference of the circle and d represents the diameter of the circle.

Define area of circle:

The area of a circle is the amount of space enclosed by the circle. It is calculated using the formula: A =\(\pi r^2\) where A represents the area of the circle, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Alternatively, we can use the diameter of the circle to calculate its area. The formula for the area of a circle using its diameter is: A = \((\pi /4)d^2\) where A represents the area of the circle, π (pi) is a mathematical constant approximately equal to 3.14, and d is the diameter of the circle.

According to the given information:

As, we know that Area of circle = \(\pi r^{2}\)

62 = \(\pi r^{2}\)

62 = \(3.14r^{2}\)

\(r^{2}\) = \(\frac{62}{3.14} = 19.74\)

\(r = \sqrt{19.74} = 4.45 cm\)

So, the circumference of the circle is = \(2\pi r\)

                                                             = 27.8832cm

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The false statement among the options is: "In an observational study, the investigators assign the subjects to treatment or control groups."

In an observational study, the investigators do not assign subjects to treatment or control groups. Instead, they observe and collect data on the subjects as they naturally exist in their environments.

In observational studies, the assignment of subjects to groups is not under the control of the investigators, unlike in controlled experiments where researchers can assign subjects to different groups.

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Answer:

B .-12 and -12

Step-by-step explanation:

it is because when we multiply two -digit the answer is in +

so like in the same -12 * -12=144

And when we add the digit we get -24

Hence, it is proved

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Answer:

4

Step-by-step explanation:

x4−y4/x−y

=

x4−y4/x−y

Answer:

\(\boxed{x^3 + xy^2 + yx^2 + y^3}\)

Step-by-step explanation:

\(\frac{x^4 - y^4}{x - y}\)

\(= \frac{(x^2)^2 - (y^2)^2}{x - y}\)

\(= \frac{(x^2 - y^2)(x^2 + y^2)}{x - y}\)

\(= \frac{(x - y)(x + y)(x^2+y^2)}{x - y}\)

\(= (x + y)(x^2 + y^2)\)

\(= x^3 + xy^2 + yx^2 + y^3\)

Answer:

C. 432,000

Step-by-step explanation:

4.32*10^5

Can be rewritten as:

4.32*100,000

Solve.

4.32*100,000=432,000

Remember, when multiplying a decimal by 10, you are just moving the decimal dot to the right. For this problem, you would move the decimal dot to the right 5 times.

Hope this helps!

Please mark as brainliest if this helps!

Answer:

It would be 432, 000. So, Option C.

Hope this helps! If not, feel free to comment below and I'll see what else I can do to help. Thanks and good luck!

Corresponding angle pairs - (1,5) , (2,6) , (3,7) and (4,8)

the C-CAPM with power utility and lognormal consumption growth predicts that the representative agent in country A will consume more in the current period and that the price of an identical financial asset will be lower compared to country B.

The C-CAPM is a financial model that relates the consumption patterns and asset prices in an economy. In this scenario, the difference in subjective discount factors implies that the representative agent in country A values future consumption relatively less compared to country B. As a result, the representative agent in country A tends to consume more in the current period, prioritizing immediate consumption over saving for the future.

Furthermore, the C-CAPM suggests that the price of an identical financial asset, such as a stock or bond, will be lower in country A. This is because the higher subjective discount factor in country A implies a higher expected return requirement for investors. As a result, investors in country A will demand a higher risk premium, leading to a lower price for the financial asset.

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Answer: The Answer is 1/2.

Step-by-step explanation: You divide both numbers by 7 to get 4/8. Then you divide that down to 2/4, and then you divide that down to 1/2.

Answer:

option 3 is the answer because it has given

Answer:

x-10

Step-by-step explanation:

If Dominic has X, and carla has 10 fewer. Then Carla would have X-10

Hence equation is x-10

What is word problems?

When students are given with statements , on the basis of which equations are formed are said to be word problems

How to solve?

Given number of books with Dominic=x

Carla has 10 fewer books than Dominic =x-10

Hence equation is x-10

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Answer:

(3,-3)

Step-by-step explanation:

It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.

The probability that a student's score is less than 81 points on the reading ability test is 0.9772. We would expect approximately 489 students to earn a score less than 81 points if 500 students took the reading ability test. The probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.

To find the probability that a student's score is less than 81 points, we need to standardize the score using the z-score formula:

z = (x - μ) / σ

where x is the student's score, μ is the mean score, and σ is the standard deviation. Plugging in the values, we get:

z = (81 - 65) / 8 = 2.00

Using a standard normal distribution table or calculator, we can find the probability of a z-score less than 2.00 to be approximately 0.9772. Therefore, the probability that a student's score is less than 81 points is 0.9772.

Since the distribution is normal, we can use the normal distribution to estimate the number of students who would earn a score less than 81. We can standardize the score of 81 using the z-score formula as above and use the standardized score to find the area under the normal distribution curve. Specifically, the area under the curve to the left of the standardized score represents the proportion of students who scored less than 81. We can then multiply this proportion by the total number of students (500) to estimate the number of students who would score less than 81.

z = (81 - 65) / 8 = 2.00

P(z < 2.00) = 0.9772

Number of students with score < 81 = 0.9772 x 500 = 489

Therefore, we would expect approximately 489 students to earn a score less than 81 points.

The distribution of the sample mean reading ability test scores is also normal with mean μ = 65 and standard deviation σ / sqrt(n) = 8 / sqrt(35) ≈ 1.35, where n is the sample size (number of students in the sample). To find the probability that the sample mean score is between 66 and 68, we can standardize using the z-score formula:

z1 = (66 - 65) / (8 / sqrt(35)) ≈ 0.70

z2 = (68 - 65) / (8 / sqrt(35)) ≈ 2.08

Using a standard normal distribution table or calculator, we can find the probability that a z-score is between 0.70 and 2.08 to be approximately 0.2190. Therefore, the probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.

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Answer:

I think that it's +2, but seeing as I don't know what type of formula you need (several ways depending on what you are learning, solving for x, solving quadratic, etc?)

Step-by-step explanation:

Answer:a

Step-by-step explanation:yes

Answer: 2nd option

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

3^3/7 ≈ 1.601

1.601 rounded to the nearest half is 1 1/2.

True, Every normal unitary operator u: x! x exists.
False, An if only if it is invertible, a matrix qualifies as unitary.

What is the matrix?

A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix, are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

Here, we have

a. Every unitary operator U:X→X is normal as an operator A is unitary if A*A = AA* = I and an operator is normal if A*A = AA*.

Hence, every unitary operator u: x → x is normal.

b. A unitary matrix is always invertible but an invertible matrix need not be unitary. An invertible matrix A is unitary if A⁻¹ = A*

Hence, it is not true.

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Answer:

Triangle y = 7

Triangle x = -3

Slope = - 7/3

Step-by-step explanation:

Formula:

slope (or m) = (y2 - y1)/(x2 - x1)

Plug numbers into formula

m = 8 - 1 / 4 - 7

m = 7 / -3

Cannot be simplified further

Slope = - 7/3

The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.

8 - 1 = 7 which forms the numerator for our slope

The same goes for the triangle before x. Find the difference

x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope