Nuha is going through a revolving door that needs to rotate
16
0
∘
160
∘
160, degrees to allow her to pass through. The wind pushed the door around
4
0
∘
40
∘
40, degrees. Nuha needs to push it the rest of the way.

In the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.

In the factored form of the trinomial 2x^2 + 4xy - 48y^2 = 2(x - by)(x - 4y), the value of the coefficient b can be determined by comparing the factors of the trinomial with the factored form.

We see that in the factored form, the binomial (x - by) represents the first term and the binomial (x - 4y) represents the last term. The coefficient b corresponds to the term involving both x and y, which is the middle term 4xy in the original trinomial.

Comparing the middle term of the original trinomial (4xy) with the factored form, we can deduce that the coefficient b is equal to 4.

Therefore, in the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.

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Explanation:

Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.

You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.

Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

Being "x" the age of the youngest child, then you have:

On the other hand, you know that the sum of their ages is 66. Then, the equation is:

x + x + 1 + x + 2 + x + 3 = 66

Solving:

4x + 6 = 66

4x = 66 - 6

4x = 60

x= 60 ÷ 4

x= 15

Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18

Finally, Hailey's age is 18 years.

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Answer:

the image should be the same size as the reflection

The mandatory orientation and size of the triangle image did not match with the former triangle ABC.

Given that,
Lin tried to reflect triangle ABC across line t. She knows something went wrong because the image isn’t congruent with the original figure.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The given triangle is ABC,
Lin has to form the image of the reflection of the triangle ABC across the line t. Since the observation shows that the image formed by Lin is oriented and enlarged and does not seems to be congruent with the former triangle.

Thus, the mandatory orientation and size of the triangle image did not match the former triangle ABC.

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Complete question :

Suppose the average yearly salary of an individual whose final degree is a master's is $55 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn ?$116 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = $59,000

Step-by-step explanation:

Let:

Average salary of a bachelor's degree = b

Salary of a master's holder = 2b - 55000

Combined salary of both degrees :

b + (2b - 55000) = 116000

b + 2b - 55000 = 116000

3b = 116000 + 55000

3b = 171000

Divide both sides by 3

3b/3 = 171000/3

b = 57000

Hence,

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = 2(57000) - 55000 = 59,000

Answer:

54 mailboxes

Step-by-step explanation:

9*6=54

Answer: 54

Step-by-step explanation: 9x6=54

Hey there!

Assuming you meant he has \(216\) pounds if nuts and divides them in to \(\frac{14}{16}\) shares, the correct answer is \(246\frac{6}{7}\)

Since you can divide by multiplying by the reciprocal, we have:

\(216 * \frac{16}{14}\)        ~To make it easier, we will put \(216\) over \(1\).

\(\frac{216}{1} * \frac{16}{14}\)         ~Next, multiply the fractions

\(\frac{3456}{14}\)              ~Then, convert to mixed number

\(246 \frac{12}{14}\)           ~Simplify

\(246\frac{6}{7}\)            ~Answer

Hope it helps and have a great day!

Answer:

14/16 ÷ 2/16

Step-by-step explanation:

because i have the same homework and got it right fiytb

Answer:

m = 8

k = 7

Step-by-step explanation:

Remark

Unless this really is a parallelogram, it is not (easily) solvable. I think you likely intend it to be a parallelogram, so it has an easy solution. The diagonals bisect each other.

So m = 8   because the intersect point of the diagonal and the second one makes the two parts equal.

k + 4 = 11        Subtract 4 from both sides.

   -4    -4

  k = 7

Answer:

3x(2x - 3)

Step-by-step explanation:

Given

y = 6x² - 9x ← factor out 3x from each term

  = 3x(2x - 3)

We can approach this problem by first finding the two perfect squares that 240 lies between:

15^2 = 225 and 16^2 = 256.

Since the square root of 240 must lie between the square root of 225 and 256, we can choose the number that is closest between 15 and 16.

To do this, we can calculate the distance between the square root of 240 and each of the two numbers:

The distance between 15 and the square root of 240 is |15 - sqrt(240)| = 1.18

The distance between 16 and the square root of 240 is |16 - sqrt(240)| = 0.34

Therefore, 16 is closest to the square root of 240.

Answer:

1

Step-by-step explanation:

X= -3-2=-5

y= -2-3=-5

-5/-5=1

Answer:

at 50 minutes both containers will be at 1000 ml having the same amount of water

Step-by-step explanation:

look at the image

To match the third-order linear equations with their fundamental solution sets, we will analyze the characteristics of each equation and determine the corresponding solutions. The correct matches are as follows:

y'''−5y''+y'−5y=0 -> D. 1cos(t)sin(t)

y'''−y''−y'+y=0 -> C. 1e4te3t

y'''−7y''+12y'=0 -> B. 1tt3

y'''+3y''+3y'+y=0 -> F. e−tte−tt2e−t

ty'''−y''=0 -> E. e5tcos(t)sin(t)

y'''+y'=0 -> A. ettete−t

For the equation y'''−5y''+y'−5y=0, the characteristic equation has complex roots. The corresponding fundamental solution set is D. 1cos(t)sin(t).

The equation y'''−y''−y'+y=0 has distinct real roots. The fundamental solution set is C. 1e4te3t.

The equation y'''−7y''+12y'=0 has a repeated real root. The fundamental solution set is B. 1tt3.

In the equation y'''+3y''+3y'+y=0, the characteristic equation has a repeated complex root. The corresponding fundamental solution set is F. e−tte−tt2e−t.

For the equation ty'''−y''=0, we have a differential equation with a variable coefficient. The fundamental solution set is E. e5tcos(t)sin(t).

The equation y'''+y'=0 has distinct real roots. The fundamental solution set is A. ettete−t.

By matching the characteristics of each equation with the appropriate solution set, we can determine the correct matches for the given third-order linear equations.

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The measure of each angle formed by the place where the median meets the vertex is 30 degrees

The median of an equilateral triangle divides the side and the angle into equal parts.

If the angle at the vertex is, the new angle would be

Angle = x/2

The angle at the vertex of an equilateral triangle is 60.

So, we have:

Angle = 60/2

Evaluate

Angle = 30

Hence, the measure of each angle formed by the place where the median meets the vertex is 30 degrees

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The smallest possible value of nullity(a) is 0, and the largest possible value of nullity(a) is 4. To determine the minimum and maximum possible values of nullity(a) for a 7 × 4 matrix, we need to consider the properties of a matrix and nullity.

Nullity(a) is defined as the dimension of the null space of the matrix 'a'. It is also equal to the number of linearly independent columns in the matrix that are not part of its column space.
Since the matrix is a 7 × 4 matrix, it has 4 columns. The rank-nullity theorem states that:
rank(a) + nullity(a) = number of columns in matrix 'a'
The minimum possible value of nullity(a) occurs when all columns are linearly independent, which would mean the rank of the matrix is at its maximum value. In this case, the maximum rank of a 7 × 4 matrix is 4. So, the smallest possible value of nullity(a) is: nullity(a) = number of columns - rank(a)
nullity(a) = 4 - 4 = 0
The maximum possible value of nullity(a) occurs when the rank of the matrix is at its minimum value. In this case, the minimum rank of a 7 × 4 matrix is 0. So, the largest possible value of nullity(a) is: nullity(a) = number of columns - rank(a)
nullity(a) = 4 - 0 = 4
To summarize, the smallest possible value of nullity(a) is 0, and the largest possible value of nullity(a) is 4.

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The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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The negation of this statement :∃x, y ∈ D, f(x) = f(y) and x ≠ yOr∃x, y ∈ D, [f(x) = f(y)] and [x ≠ y]

a. Let D be the domain of the function f, f: D -> R.

Then, "A function f: D -> R is periodic if there exists a positive real number p such that for every element x of D R, f(x+p) = f(x)" can be written as:∃p > 0, ∀x ∈ D, f(x+p) = f(x)Or∀x ∈ D, ∃p > 0, f(x+p) = f(x)

The negation of this statement can be written as:∀p > 0, ∃x ∈ D, f(x+p) ≠ f(x)Or∃x ∈ D, ∀p > 0, f(x+p) ≠ f(x)b.

b. Let D be the domain of the function f, f: D -> R. Then, "A function f: D -> R is injective if for all x and y in D R, if f(x) = f(y), then x = y" can be written as:∀x, y ∈ D, f(x) = f(y) → x = yOr∀x, y ∈ D, [f(x) = f(y)] → [x = y]The negation of this statement can be written as:∃x, y ∈ D, f(x) = f(y) and x ≠ yOr∃x, y ∈ D, [f(x) = f(y)] and [x ≠ y]

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Step-by-step explanation:

As angle BAD is a right angle (90°), angles BAC and CAD must sum up to 90°.

Therefore angle CAD = Angle BAD - Angle BAC

= 90° - (x + 20)°

= (70 - x)°

Hence the answer is G.

Answer:

300,375.92586765

Step-by-step explanation:

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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Answer:

A terminating decimal ends while a non-terminating decimals repeats itself.

Step-by-step explanation:

2.50-terminating decimal

2.3333...-non-terminating decimal

Answer:

good answer thats was a very helpful answer

In triangle DEF, with a 90° angle at vertex E, the angle at vertex D is acute, and the triangle is a right triangle. Option B, D.

If triangle DEF has a 90° angle at vertex E, it means that the angle formed by the two sides that meet at vertex E is a right angle. Based on this information, we can determine which statements are true.

Triangle DEF is an obtuse triangle: False

An obtuse triangle is a triangle with one angle greater than 90°. Since we know that angle E is a right angle (90°), triangle DEF cannot be an obtuse triangle.

The angle at vertex D is acute: True

An acute angle is an angle that measures less than 90°. In triangle DEF, since angle E is a right angle (90°), the other two angles, at vertices D and F, must be acute angles.

The angle at vertex F is obtuse: False

Similar to statement 1, an obtuse angle measures greater than 90°. Since we know angle E is a right angle (90°), the other two angles, at vertices D and F, cannot be obtuse angles.

Triangle DEF is a right triangle: True

A right triangle is a triangle that has one angle measuring 90°. Given that angle E is a right angle, triangle DEF is indeed a right triangle.

The angle at vertex D is obtuse: False

An obtuse angle measures greater than 90°. Since we know that angle E is a right angle (90°), the angle at vertex D cannot be obtuse. It is an acute angle.

Therefore, the correct statements are:

The angle at vertex D is acute.

Triangle DEF is a right triangle. So Option B, D is correct.

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Note the complete question is

If triangle DEF has a 90° angle at vertex E, which statements are true?

a.) Triangle DEF is an obtuse triangle.

b.) The angle at vertex D is acute.

c.) The angle at vertex F is obtuse.

d.) Triangle DEF is a right triangle.

e.) The angle at vertex D is obtuse.

Answer:

hbvjhhjgfbhfhghhjv5bjbhu6hjbhhi8jvhbkhbjgug7hbguf76

The given line y = -2x + 3 will cross the y-axis at (0, 3).

A coordinate plane is a two-dimensional plane that consists x-axis and a y-axis. These are perpendicular to each other and will be intersected at the point called the origin.  

The coordinates of the point that lies on the y-axis are (0, y), Similarly, the coordinates of the point that lies on the x-axis are (0, x).    

Here we have

The equation of the line is y = -2x + 3  

To find the required point take x = 0

=> y = -2(0) + 3

=> y = 0 + 3

=> y = 3

Therefore,

The given line y = -2x + 3 will cross the y-axis at (0, 3).

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Answer:

Answer:

nmnm

Step-by-step explanation:

nmnmnm

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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Answer:

C)

-5(-3) = 15 therefore the less than/equal too statement stands truest amongst the total inequalities.