Simplify the expression:
6b – 2b+ 5b – 8

Answer:

b - 1/4 = 3 1/2

Step-by-step explanation:

b - 1/4 = 3 1/2

b - 1/4 = (3 + 1/2)

4b = 15

b = 15/

4

= 3.75

Best describe a parallelogram with diagonals that are perpendicular is rectangle.

A parallelogram with diagonals that are perpendicular is called a rectangle. A rectangle is a special type of parallelogram that has four right angles. This means that the diagonals of a rectangle are perpendicular to each other, and they bisect each other.

In addition to having perpendicular diagonals, a rectangle has other unique properties. Its opposite sides are congruent and parallel, and all angles are right angles. The diagonals of a rectangle have the same length, and they divide the rectangle into four congruent right triangles.

The properties of a rectangle make it a useful shape for many practical applications. For example, rectangular shapes are commonly used in building construction, furniture design, and graphic design. The perpendicular diagonals of a rectangle also make it useful for geometric proofs and calculations.a

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Answer: 532

Step-by-step explanation:

14% of 3800 is 532

Answer: Hope this helps

-3

To write the equation in standard form for the circle passing through (–2, 4) centered at the origin, we need to find the radius and the center of the circle.

Since the circle passes through (–2, 4), we can use the distance formula to find the radius, which is the distance from the origin to (–2, 4).

The distance formula is given by:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, x1 = 0, y1 = 0, x2 = –2, and y2 = 4. So, the radius is:

radius = sqrt((-2 - 0)^2 + (4 - 0)^2) = sqrt(20) = 2sqrt(5)

The center of the circle is the origin, since the circle is centered at the origin. Therefore, the equation of the circle in standard form is:

x^2 + y^2 = (2sqrt(5))^2 = 20

So, the equation of the circle passing through (–2, 4) centered at the origin is x^2 + y^2 = 20.

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Answer:

Transformations can affect a function in a number of ways. Some common types of transformations include translations, reflections, rotations, and dilations.

A translation shifts a function horizontally or vertically without changing its shape. A reflection flips a function over a line of symmetry. A rotation rotates a function around a point. A dilation stretches or shrinks a function along one or both axes.

Each type of transformation changes the graph of the function in a specific way and can affect the domain, range, symmetry, and asymptotes of the function.

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Transformations affect functions by changing their position, shape, or size on the coordinate plane. The following are the common types of transformations and their effects on functions:

These are explained below:

Translation: A translation moves a function horizontally or vertically without changing its shape. This changes the position of the function on the coordinate plane, but not its slope or intercepts.

Reflection: A reflection flips a function over either the x-axis or y-axis. This changes the signs of the function's y-coordinates, but not its slope or x-intercepts.

Dilation: A dilation changes the size of a function, but not its shape. The scale factor determines how much the function expands or contracts.

Rotation: A rotation rotates a function around a fixed point, changing its orientation. The angle of rotation and the direction (clockwise or counterclockwise) determine the effect on the function's shape.

In general, transformations preserve the basic characteristics of a function, such as its slope and intercepts, while changing its position or shape on the coordinate plane.

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The cost of  each piece of trim is $1.63

To find the cost of one piece of trim, we can use the unitary method, which involves dividing the total cost by the number of pieces. In this case, we can use the following formula

Cost of one piece of trim = Total cost / Number of pieces

We know that Kevin bought 4 pieces of trim for a total of $6.52, so we can substitute these values into the formula

Cost of one piece of trim = $6.52 / 4

Simplifying this expression, we get

Cost of one piece of trim = $ 1.63

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The value of x in the figure is 12.

An equilateral triangle is a triangle with all three sides of equal length and equal angles.

Given that, an equilateral triangle with sides, 4x-10, 3x+2, 5x-22

Since, all sides are equal, so, we get,

4x-10 = 3x+2

x = 12

Hence, The value of x in the figure is 12.

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I will win about $ 59.

This is a question of permutations and combinations.

We know that,

Probability of getting two non face cards = \(\frac{^{40}C_2}{{^{52}C_2}}\) = 10/17

Probability of not getting two non face cards = 1 - (10/17) = 7/17

Hence, we can write,

Money I will get = (7/17)*50*20 =  $ 411.764

Money I'll have to pay = (10/17)*30*20 = $ 352.94

We know that,

Money left with me = Money I will get - Money I'll have to pay

Hence, we can write,

Money left with me =   $ 411.764 - $ 352.94

Money left with me =  58.824 ≈ $ 59

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Answer:

The coordinates of the midpoint M are (-3,4.5)

Step-by-step explanation:

Here, we are interested in calculating the coordinates of the midpoint.

To do this, we make use of the midpoint formula;

Mathematically;

(x , y) = (x2 + x1)/2 , (y2 + y1)/2

Substituting the values;

(x , y) = (1+(-7))/2, (6 + 3)/2

(x , y) = (1-7)/2, 9/2

(x ,y) = -6/2,9/2

(x,y) = -3, 4.5

Answer:

x=12

Step-by-step explanation:

Hello There!

So first things first, the angle labeled 4x+17 and the blank interior angle are vertical angles meaning that they are congruent

So now we can solve for x

Remember all of the angles in a triangle add up to equal 180 so

180 = x + 23 + 80 + 4x + 17

step 1 combine like terms

4x+x=5x

23+17+80=120

now we have

180=120+5x

step 2 subtract 120 from each side

180-120=60

now we have

60=5x

step 3 divide each side by 5

60/5=12

we're left with x=12

The value of angles ∠A and ∠B is equal to 40°.

Given is that ∠A = 5x − 5 and ∠B = 3x + 13

We can write -

∠A = ∠B            {Vertically opposite angles}

5x − 5 = 3x + 13

5x - 3x = 18

2x = 18

x = 9

So, we can write -

∠A = 5x − 5 = 40°

∠B = 3x + 13 = 40°

Therefore, the value of angles ∠A and ∠B is equal to 40°.

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Answer:

x = ± 8

Step-by-step explanation:

\(\dfrac{1}{2}x^{2}=32\)

Multiply the equation by 2

x² = 32*2

x² = 64 = 8²

x = 8

Given the function :

The general form of the linear function is : y = m * x + b

Where m is the slope

The rate of the change of the linear function = slope of the function

So, the rate of the change = m = 7

Answer: the rate of change or "slope" is 7

Step-by-step explanation:

MATH

Answer:

good luck bro lol

Step-by-step explanation:

Answer:

2. is right i think

4. is true i think hope this helps!

Step-by-step explanation:

i think

Answer:

m∠VUS = 122

Step-by-step explanation:

m∠TUX = 122°

∴m∠VUS = 122°(vertically opposite angles are equal)

hope this helps you!!

The solution is, m∠VUS = 122

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the diagram, we get,

m∠TUX = 122°

∴m∠VUS = 122°

(vertically opposite angles are equal)

Hence, The solution is, m∠VUS = 122.

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Answer:

105°

Step-by-step explanation:

m(15) = 75°

Also it's given that m||n . So taking y as transversal ,

m(15) = m(13) = 75°

Also it's given that x||y . So taking m as transversal ,

m(13) = m(5) = 75°

Now m(5) & m(1) are linear pair. So ,

m(5) + m(1) = 180°

=> 75° + m(1) = 180°

=> m(1) = 180° - 75°

= 105°

The probability that x will be less than 34 in a sample of size 58 drawn from a population with a mean of 33 and a standard deviation of 5 is approximately 0.9357.

To find the probability that x will be less than 34 in a sample of size 58 drawn from a population with a mean of 33 and a standard deviation of 5, follow these steps:

1. Calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size
  SE = 5 / √58 ≈ 0.656

2. Convert the sample mean (x) to a z-score using the formula:

z = (x - population mean) / SE
  z = (34 - 33) / 0.656 ≈ 1.52

3. Use a z-table or calculator to find the probability corresponding to the z-score.

For a z-score of 1.52, the probability is 0.9357.

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Answer: 80°

Step-by-step explanation:

The sum of the angles in a triangle is 180°. Since the two angles of a triangle measure 15° and 85°.

The measure for the third angle will be:

= 180° - (15° + 85°)

= 180° - 100°

= 80°

The third angle is 80°

Answer:

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = \(\sqrt{72}\)

c=3\(\sqrt{8}\)

c=8.485281374

Step-by-step explanation:

The graphical representation which would be best for his data as required to be determined is; Histogram.

It follows from the task content that the answer choice which represents the best graphical representation for the data be determined.

The histogram is a graphing tool most often used to summarize discrete or continuous data that are measured on an interval scale. In most cases, A histogram is used graph to show frequency distributions.

Hence, in the given scenario; the teach was interested in the subject that students preferred, the graphical representation which would be best would be; a Histogram.

Ultimately, the best graphical representation of the data would be by the use of an histogram.

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Answer:

(7,0)

Step-by-step explanation:

Answer:

x = 7 (7,0)

Step-by-step explanation:

6x - 7y = 42

cancel out the y

6x -7 (0) = 42

6x = 42

divide both sides by 6

x = 7

Hope this helps!!!

The algebraic expression for total hours that represents the number of hours per week the theater is open is 4 x + 3 y

Number of hours the theatre is opened on Monday to Thursday = x hours.

Number of hours the theatre is opened on Friday to Sunday = y hours.

Number of hours from Monday to Thursday = 4 x hours.

Number of hours from Friday to Sunday = 3 y hours.

Total hours will be represented by the algebraic expression:

Total hours = 4 x + 3 y.

Therefore, the algebraic expression for total hours that represents the number of hours per week the theater is open is 4 x + 3 y

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The sample is not an advised estimate of the range population, as the dot plot measures are not correlated with the five number summary.

The measures that compose the five number summary of a data-set are given as follows:

The dot plot shows the number of times that each observation appears in the data-set.

From the dot plot given by the image presented at the end of the answer, the minimum and the maximum values are given as follows:

The measures in the sample, from the dot plot, are considerably different from the five number summary, in a considerable smaller range, hence it is not a good estimate of the population range.

The five number summary is given by the image presented at the end of the answer.

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The mean (average) weight of trucks traveling on the interstate system is approximately 15,100 pounds, and the standard deviation (measure of variability) is approximately 6,200 pounds.

To find the mean and standard deviation, we use the properties of the normal distribution. The given information states that 70% of trucks weigh more than 12,000 pounds and 80% weigh more than 10,000 pounds.

Using these percentages, we convert them to z-scores by finding the corresponding values on the standard normal distribution. The z-scores for 70% and 80% are approximately 0.5244 and 0.8416, respectively.

By setting up equations using the z-scores and the formulas for z-scores, we can solve for the mean (μ) and standard deviation (σ). Solving these equations yields the values of μ ≈ 15,148.08 and σ ≈ 6,170.61.

Therefore, the mean weight of trucks traveling on the interstate system is approximately 15,100 pounds, and the standard deviation is approximately 6,200 pounds. These values provide an estimate of the typical weight range of trucks on the interstate system based on the given information.

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Answer:

So what we're going to do is now take the so drdx of negative 3x plus 1 is equal drdx of x squared

Step-by-step explanation:

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Answer: 76.2

Step-by-step explanation:

54/17=3.176

3.176=the scale factor

3.176(24)=76.224

Rounded=76.2

Answer:

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If two figures are similar then their corresponding sides have same ratio.

Find ratios:

Substitute and find the value of PM:

Given:

The expression is

\(\sqrt{180m^2}\)

To find:

The value of the given expression by using the perfect squares.

Solution:

We have,

\(\sqrt{180m^2}\)

It can be written as

\(=\sqrt{2\times 2\times 3\times 3\times 5\times m^2}\)

\(=\sqrt{(2)^2(3)^25m^2}\)

\(=\sqrt{(2\times 3\times m)^25}\)

\(=\sqrt{(6m)^25}\)

\(=6m\sqrt{5}\)

Therefore, the value of given expression is \(6m\sqrt{5}\).

The unlevered beta for Lincoln is closest to 0.95.

The unlevered beta represents the risk or sensitivity of a company's stock returns to market movements, assuming the company has no debt (or financial leverage). The beta value is typically provided by financial sources or can be calculated using regression analysis. Since no additional information is given about Lincoln or its industry, we cannot determine the exact unlevered beta. However, among the given answer options, 0.95 is the value that is closest to 1.0, which is often considered the average or baseline beta. A beta value greater than 1.0 indicates higher sensitivity to market movements, while a value less than 1.0 suggests lower sensitivity.

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