6.
Which expression is equivalent to

440d2 - 176d?





22d ( 20d + 8 )

22d ( 20 + 8 )

22d ( 20d - 8 )

22 ( 20d - 8 )

Answer:

First number is 20, second is 25

Step-by-step explanation:

x + y = 5 + 2x = 45

solve for x first

5 + 2x = 45

x = 20

then solve for y

20 + y = 45

y = 25

hope this helps

Answer:

Vertices = 8

Edges = 12

Faces = 6

Step-by-step explanation:

A cuboid ( or a rectangular solid ) has 8 vertices , 12 edges & 6 faces.

Step-by-step explanation:

Image 1:

Blank 1: (0,5)

Blank 2: (5,0)

Blank 3: (0,-5)

Blank 4: (-5,0)

Image 2:

C, Both B and D only have one line of symmetry. Choice A has more than 2 because you can evenly split the kite by its vertices and its lengths.

Image 3:

B, a regular quadrilateral is named this way because it contains both the point and linear symmetry. By definition, a regular quadrilateral must have 4 equal sides and angles and must have its diagonals bisect each other.

Image 4:

B, Point symmetry only. This is because when flipped upside down, the shape would still look the same. This would not be rotational symmetry because it does not look 100% like the original after rotating it to a certain degree.

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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Answer: 168 people

Step-by-step explanation:

If 120 people attended on Friday, 120% of that will be:

= 120 * 140/100

= 168 people

The evaluation of the six trigonometric functions in x = -(7/6)pi can be seen below.

We want to evaluate sin(x), cos(x), tan(x), arcos(x), sec(x), arctan(x) in x = -(7/6)pi.

Now we just evaluate the trigonometric functions:

\(cos(-\frac{7pi}{6}) = -0.866\)

\(sin(-\frac{7pi}{6}) = 0.5\\\\tan(-\frac{7pi}{6})) = -0.577\\\\cosec(-\frac{7pi}{6})) = 1/sin(-\frac{7pi}{6}) = 1/0.5 = 2\\\\sec(-\frac{7pi}{6}) = 1/cos(-\frac{7pi}{6}) = -1.155\\\\arctan(-\frac{7pi}{6}) = 1/tan(-\frac{7pi}{6})) = -1.732\)

Where for the last 3 we just use the inverse of the first 3 ones.

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Answer:

The answer is C.)

Step-by-step explanation:

sine (Negative StartFraction 7 pi  Over 6 EndFraction) = one-half; cosine (Negative StartFraction 7 pi  Over 6 EndFraction) = Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction; tangent (Negative StartFraction 7 pi  Over 6 EndFraction) = Negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction. Cosecant (Negative StartFraction 7 pi  Over 6 EndFraction) = 2; secant (Negative StartFraction 7 pi  Over 6 EndFraction) = Negative StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction; Cotangent (Negative StartFraction 7 pi  Over 6 EndFraction) = Negative StartRoot 3 EndRoot

By answering the above question, we may state that  there is an equation  about 33.25 degree angle between vectors a and b.

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical proposition that proves the equality of two formulae is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the connection that exists between the two phrases that have been written on opposite sides of a letter. Most of the time, the logos and the particular software match. like in 2x - 4 = 2, for example.

The following formula calculates the cross product of two vectors' magnitude:

|a x b| = sin(a, b) (theta)

where theta is the angle between the vectors a and b, and |a| and |b| are their magnitudes.

Given that |a| = 3.01 and |b| = 3.01, the cross product of the two equals -5.00k2.01 i. These values allow us to calculate sin(theta):

|-5.00k^2.01 i^| = 5.00 \s|a| |b| = 9.0601

5.00 = 9.0601 sin(theta) (theta)

5.00 / 9.0601 = 0.5517 for sin(theta)

The result of taking the inverse sine of both sides is:

theta = sin(1) (0.5517)

33.25 is the theta angle

Hence, there is an about 33.25 degree angle between vectors a and b.

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Answer:

Step-by-step explanation:

Simply plug each x value into the equation

1.

-3, 0, 3, 6, 8, yes it is linear, it doesn't have any exponents

2.

Same thing

5,2,1,2,5, it has exponenets and is not linear

The fraction of the image in blue with respect to the entire hexagon is \(\frac{1}{3} \).

Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:

\(A_{1} = A_{2}\) (1)

Where:

The formulae for the area of the shaded region (\(A_{s}\)) and the entire hexagon (\(A_{h}\)) are, respectively:

\(A_{s} = 2\cdot A_{1} + 4\cdot A_{2}\) (2)

\(A_{h} = 8\cdot A_{1} + 10\cdot A_{2}\) (3)

And the fraction of the image in blue is:

\(\frac{A_{s}}{A_{h}} = \frac{2\cdot A_{1}+4\cdot A_{2}}{8\cdot A_{1}+10\cdot A_{2}} \)

\(\frac{A_{s}}{A_{h}} = \frac{6\cdot A}{18\cdot A} \)

\(\frac{A_{s}}{A_{h}} = \frac{1}{3} \)

The fraction of the image in blue with respect to the entire hexagon is \(\frac{1}{3} \). \(\blacksquare\)

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In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.

In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.

In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.

In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.

In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.

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Answer: your mom

Step-by-step explanation:  just cause

The expected percentage of their offspring that would produce pink flowers would be 0%. This is because both the parents that are involved in the cross produce only white flowers and therefore the offspring produced as a result of the cross are expected to only produce white flowers.

However, if the offspring from the cross between the two white flower producing wildflowers were to be crossed with another wildflower population that has pink flowers, there is a chance that some of the offspring from that cross would produce pink flowers. In the given scenario, the cross is being made between two white flower producing wildflowers. Since both the parents involved in the cross produce only white flowers, there is no chance of their offspring producing pink flowers.

The color of the flowers in the offspring is determined by the genetic makeup of the parents that are involved in the cross.In the case of the given wildflowers, the fact that 77% of the offspring produced by a cross between two pink wildflowers produced pink flowers while 23% produced white flowers indicates that the gene for pink flowers is dominant over the gene for white flowers. This is because the gene for pink flowers was passed down to more than three-quarters of the offspring in the cross between the two pink wildflowers. The gene for white flowers, on the other hand, was passed down to only a quarter of the offspring.Hence, if the offspring from the cross between the two white flower producing wildflowers were to be crossed with another wildflower population that has pink flowers, there is a chance that some of the offspring from that cross would produce pink flowers.

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The particular solution of the differential equation is:
f(x) = -sin(x) + 3x + 3

To find the particular solution of the differential equation f''(x) = sin(x) that satisfies the initial conditions f'(0) = 2 and f(0) = 3, follow these steps:

1. Integrate f''(x) = sin(x) once with respect to x:
f'(x) = ∫sin(x) dx = -cos(x) + C₁

2. Use the initial condition f'(0) = 2 to find C₁:
2 = -cos(0) + C₁
C₁ = 3

So, f'(x) = -cos(x) + 3

3. Integrate f'(x) again with respect to x:
f(x) = ∫(-cos(x) + 3) dx = -sin(x) + 3x + C₂

4. Use the initial condition f(0) = 3 to find C₂:
3 = -sin(0) + 3(0) + C₂
C₂ = 3

So, the particular solution of the differential equation is:
f(x) = -sin(x) + 3x + 3

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Answer:

To solve this problem, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Since the lines a and b intersect at point D, we can form two triangles: ADB and CDB. We can label the angles as shown in the figure below.

A

/ \

/   \

/     \

/       \

/         \

/           \

B-----------D-----------C

(5z + 8)°   (4z + 20)°

In triangle ADB, we have:

(5z + 8) + (4z + 20) + z = 180

Simplifying and solving for z, we get:

10z + 28 = 180

10z = 152

z = 15.2

Therefore, the value of z is 15.2 degrees.

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The total number of boats that are in this marina would be 48 boats

To solve this problem, you can set up an equation using the information given in the problem. Let x be the total number of boats in the marina.

According to the problem, two-thirds of the boats in the marina are white, so:

x * 2/3 = number of white boats

The remaining boats are split between blue and red, so:

(x * 2/3) = number of white boats

x - (x * 2/3) = number of remaining boats

Five-eighths of the remaining boats are blue, so:

(x - (x * 2/3)) * 5/8 = number of blue boats

The rest of the remaining boats are red, so:

(x - (x * 2/3)) - (x - (x * 2/3)) * 5/8 = number of red boats

And we know that there are 6 red boats, so we can substitute that into the equation:

6 = (x - (x * 2/3)) - (x - (x * 2/3)) * 5/8

Solving for x, we can get the number of boats in the marina.

x = 48.

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Answer:

1. All of the above.

2. Kilowatt hours.

Step-by-step explanation:

A power bill can be defined as a utility bill issued by a power utility company (provider) to illustrate the amount of energy (electricity) consumed by a customer.

Power bills usually show the following informations;

1. The total amount due: this represents an amount of money being owed by a consumer to a power utility company. The current amount due in addition to any outstanding balance is reflected in this tab.

2. The Kilowatt hours of electricity used: this represents the amount of electricity that was used by the consumer in the previous month.

3. The payment due date: this represents the least expected date for payment to be made by the consumer. If payment isn't made on or before the due date, the consumer will be disconnected.

Generally, when calculating the power bill, power companies use kilowatt hours. The Kilowatt hours (KWh) represents the amount of energy (electricity) that is being used by a customer on a hourly rate.

Answer:

1. All of the above.

2. Kilowatt hours.
3.  $52.36

4. The original bill was $192.56

Step-by-step explanation:

took the quick check

Answer:

x= 10/3

or

x= 3.334

Depending on simplified form asked.

Step-by-step explanation:

6x +8 =28

subtract 8 from both sides

6x = 20

divide by 6

x=20 /6

x= 10/3 or x =3.334

if you like my answer, please mark me brainliest !! thanks !! <3

Answer:

38.46

Step-by-step explanation:

Percentage Calculator: 20 is what percent of 52? = 38.46.

The structure of the error term in the given model is an example of first-order autocorrelation or serial correlation. The correct answer is A.

This is because the current error term (εt) is linearly related to the past two error terms (εt-1 and εt-2) through the autoregressive coefficients (rho1 and rho2). This implies that the errors are not independently and identically distributed (i.i.d), violating one of the assumptions of the classical linear regression model.

Option A is therefore the correct answer.

Option B is incorrect because the Durbin-Watson test is used to detect the presence of autocorrelation, not any other type of error structure.

Option C is incorrect because perfect multicollinearity refers to a situation where two or more predictor variables are perfectly correlated with each other, leading to numerical problems in estimation.

Option D is incorrect because heteroskedasticity refers to a situation where the variance of the error term is not constant across observations, leading to biased and inefficient estimates of the regression coefficients. The correct answer is A.

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Answer:

125/64

Step-by-step explanation:

I hope this helps

The given statement "in a group of fifty (50) people, there must be at least 5 people who were born in the same month." is True because this statement can be proven using the Pigeonhole Principle.

The Pigeonhole Principle states that if there are n items and m containers (where n > m), at least one container must hold more than one item.

In this case, the 50 people are the items, and the 12 months of the year are the containers. We can divide the people into groups based on their birth month. Since there are more people (50) than months (12), at least one month must have more than one person born in it.

To find the minimum number of people born in the same month, divide the number of people by the number of months: 50 / 12 ≈ 4.17. Since we cannot have a fraction of a person, we round up to the nearest whole number, which is 5.

Therefore, in a group of 50 people, there must be at least 5 people who were born in the same month.

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Answer:

Step-by-step explanation:

The ratio of the lengths of two corresponding sides of two similar polygons is called the scale factor

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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The line integral, where c is the given curve. c xyz2 ds, c is the line segment from (−1, 4, 0) to (1, 5, 5) is -25√(30)/6.

We can parameterize the line segment from (-1, 4, 0) to (1, 5, 5) as:

r(t) = (-1 + 2t, 4 + t, 5t), 0 <= t <= 1

Then the line integral is:

∫c xyz² ds = ∫₀¹ (x(t) * y(t) * z(t)²) * ||r'(t)|| dt

We can compute the derivative of r(t) as:

r'(t) = (2, 1, 5)

And the norm of r'(t) is:

||r'(t)|| = √(2² + 1² + 5²) = √(30)

Substituting everything into the integral, we have:

∫c xyz² ds = ∫₀¹ [(x(t) * y(t) * z(t)²) / √(30)] * √(30) dt

= ∫₀¹ [(x(t) * y(t) * z(t)²) / ||r'(t)||] * ||r'(t)|| dt

= ∫₀¹ (x(t) * y(t) * z(t)²) * ||r'(t)|| dt

Now we substitute the parameterization of r(t) into the integrand:

∫c xyz² ds = ∫₀¹ [(t - 1)(4 + t)(5t)²] * √(30) dt

= √(30) * ∫₀¹ (500t⁵ - 675t⁴ + 250t³) dt

= √(30) * [(100t⁶)/3 - (225t⁵)/2 + (125t⁴)/2] from 0 to 1

= √(30) * [(100/3) - (225/2) + (125/2)]

= √(30) * (-25/6)

= -25√(30)/6

Therefore, the value of the line integral is -25√(30)/6.

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Answer:

Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.

Step-by-step explanation:

Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.

Answer:

133

Step-by-step explanation:

All 3 angles of a triangle must equal 180, so let's make these equal to that

\((x + 13) + (10x + 13) + (2x - 2) = 180\)

Now let's combine the X's and the regular numbers together.

\(13x + 24 = 180\)

Next, subtract 24 to get all the numbers on the right side.

\(13x = 156\)

And lastly, we divide by 13 to get X alone

\(x = 12\)

Since Q is (10x + 13), we plug that 12 in

\(10(12) + 13 = 133\)

Answer: EDMEMTUM USERS

I got this correct on the tutorial, hope this helps!

Step-by-step explanation: (2,-25)

The vertex is located at (2, -25), the point (-3, 0) reflected across x = 2 is (4, 0) and the axis of symmetry is x = 2.

Given is a graph of the function f(x) = (x-2)² - 25, we need to mark vertex of the function, and graph the axis of symmetry and mark the point on the graph that is symmetric to (-3,0).

To find the vertex of the function, we need to determine the values of x and f(x) that correspond to the highest or lowest point on the graph. In this case, the function is in the form f(x) = a(x - h)² + k, where (h, k) represents the vertex.

For the given function f(x) = (x - 2)² - 25, we can see that h = 2 and k = -25. Therefore, the vertex is located at (2, -25).

To graph the axis of symmetry, we use the formula x = h. In this case, the axis of symmetry is x = 2.

To find the point on the graph that is symmetric to (-3, 0), we need to find its reflection across the axis of symmetry (x = 2).

The x-coordinate remains the same, while the y-coordinate changes sign.

The point (-3, 0) reflected across x = 2 is (4, 0).

The graph is attached to the solution.

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The solutions for θ in the interval [0, 2π) where cos(θ) = -√3/2 are θ = 2π/3 and θ = 4π/3.

The graph of f(θ) is shifted and stretched when compared to the graph of f(2θ).

What is Trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and the trigonometric functions that describe those relationships.

Part A:

To find when the pogo stick's spring will be equal to its non-compressed length, we need to solve for when f(θ) = 0.

f(θ) = 2cos(θ) + √3 = 0

2cos(θ) = -√3

cos(θ) = -√3/2

The solutions for θ in the interval [0, 2π) where cos(θ) = -√3/2 are θ = 2π/3 and θ = 4π/3.

Part B:

If we double the angle, θ becomes 2θ, and the function becomes:

f(2θ) = 2cos(2θ) + √3

Using the double angle formula for cosine, we can rewrite this as:

f(2θ) = 2(2cos²(θ) - 1) + √3

f(2θ) = 4cos²(θ) - 2 + √3

Substituting cos(θ) = -√3/2, we get:

f(2θ) = 4(-3/4) - 2 + √3

f(2θ) = -3 + √3

So the solutions for 2θ in the interval [0, 2π) where f(2θ) = 0 are:

2θ = π/6 and 2θ = 11π/6

Dividing by 2, we get the solutions for θ:

θ = π/12 and θ = 11π/12

These solutions are different from the solutions in Part A, and the graph of f(θ) is shifted and stretched when compared to the graph of f(2θ).

Part C:

To find when the lengths of the springs are equal, we need to solve the equation f(θ) = g(θ).

2cos(θ) + √3 = 1 - sin²(θ) + √3

2cos(θ) = 1 - sin²(θ)

Using the identity sin²(θ) + cos²(θ) = 1, we can rewrite this as:

2cos(θ) = cos²(θ)

cos(θ)(cos(θ) - 2) = 0

The solutions for θ in the interval [0, 2π) where the lengths of the springs are equal are:

θ = 0, θ = π/3, θ = 2π/3, θ = π, θ = 4π/3, θ = 5π/3

We can check that f(θ) = g(θ) at each of these values.

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Answer: 40% and 0.4

Step-by-step explanation:

Your answer is wrong. The correct answer is J. She needs to jog another 285 yards.

3 miles is equal to 5280 yards. If she jogged so for 4,995 yards, you need to subtract 4,995 from 5280. Therefore, she needs to jog 285 more yards. Hope this helps! Good Luck!