− 2|5 − 1| − 3 =− 11 Pls help
The lines mean absolute value.

The values of c for which y = C is a constant solution of y' = y² + 5y - 6 are 1 and -6.

Option d is the correct answer.

To find out the constant solutions of the equation (1), we need to first solve it. Let's solve equation (1) using separation of variables.

Separating variables in equation (1), we get:

dy / dx = y² + 5y - 6Now, multiplying both sides by dx, we get:

dy = (y² + 5y - 6) dxIntegrating both sides, we get:

∫ dy = ∫ (y² + 5y - 6) dxy = (y³ / 3) + (5y² / 2) - 6y + C1... (2)

where C1 is the constant of integration.

We can see that equation (2) is not in the form of y = f(x), which means we can't use it to find the values of c for which y = c is a constant solution of equation (1).

To convert equation (2) into the required form, we need to first simplify it.

Let's do that.Simplifying equation (2), we get:

y (y² + 5y - 12 / 3) + C1y (y² + 5y - 12) / 3 + C1

Now, for y = c to be a constant solution of equation (1), we have:

y (y² + 5y - 12) / 3 + C1 = c

Multiplying both sides by 3, we get:

y (y² + 5y - 12) + 3C1 = 3c

Rearranging, we get:y³ + 5y² - 12y - 3c + 3C1 = 0

Now, if y = c is a constant solution of equation (1), it means that equation (1) should be equal to 0.

So, we have:

y' = 0

On substituting y = c in equation (1), we get:(dy / dx) = c² + 5c - 6= 0

Solving the above equation, we get:

c = 1 and -6

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Their hourly wage in 9 more years is $23.60 per hour.

To find the hourly wage in 9 more years, we can use the formula for exponential growth:

A = \(P * (1 + r)^t\)

Where:

To find the annual growth rate, we can use the formula:

r = \((A/P)^(^1^/^t^)\) - 1

Substituting the given values, we get:

r = \((\$16.09 / \$6.90)^(^1^/^1^1^)\) - 1

r = 0.0883 or 8.83%

Now we can use this growth rate to find the hourly wage in 9 more years:

A = $6.90 * \((1 + 0.0883)^9\)

A = $23.60 (rounded to the nearest cent)

Therefore, the hourly wage of the automobile plant workers in 9 more years, if their wages continue to grow exponentially at the same rate, would be $23.60 per hour.

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Answer: 9 quarters and 5 dimes

Step-by-step explanation:

The new coordinates of vertex C after dilation is (-1,-1)

What will the new co ordinates of vertex B if the triangle is dilated with a center at the origin by a scale factor of 1/3? Enter the answer in the boxes

Vertex is a point on a polygon where the sides or edges of the object meet or where two rays or line segments meet. The plural of a vertex is vertices.

vertex -  sides or edges

History

Vertex is part of Euclidean Geometry, first published in a book about Geometry in the late 19th century. The concept of vertex forms the basis of explaining many advanced concepts of geometry.

Features of a Vertex

Line segments and Rays

A line segment is a part of a line. A ray is a line segment that we can extend indefinitely. When two line segments or rays meet, they form an angle. By definition, when two lines meet to form an angle, a vertex is formed. So, we can say that the meeting of two line segments or rays forms a vertex.

the correct option is C (-1,-1)

The coordinate of C is (-3,-3)

Multiply it by 1/ 3, we get

Hence, the new coordinates of vertex C after dilation is (-1,-1)

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The equation of the line will be y = 2x - 2.

A linear equation with a degree of one is referred to as a line equation. Two variables, x, and y are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation.

The general form of the equation of the line is given as:-

y = mx + c

Given that the equation of the line is passing through the point ( -2,0) and the slope of the line is 2.

The equation of the line will be calculated as:-

y = mx + c

-2 = 0 + c

c = -2

y = mx + c

y = 2x - 2

Therefore, the equation of the line will be y = 2x - 2.

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One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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The value of vector 6v is equal to 30i + 24j and value of vector -3v is equal to  -15i - 12j.

Scalar multiplication of a vector written in terms of i and j means multiplying a vector by a scalar value, which scales the vector's magnitude while retaining its direction. To perform scalar multiplication of a vector, we simply multiply each component of the vector by the scalar value.

For example, suppose we have a vector v = 5i + 4j. To find 6v, we multiply each component of v by 6 to get 6v = (65)i + (64)j = 30i + 24j.

Similarly, to find -3v, we multiply each component of v by -3 to get -3v = (-35)i + (-34)j = -15i - 12j.

In both cases, we are scaling the original vector v by a factor of 6 and -3, respectively. The resulting vectors have the same direction as v, but their magnitudes are scaled accordingly.

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The expressions which are equivalent to -4(6) are

4(-6), 6(-4) and 12(-2).

The correct answer choice is option B, C and E.

Given expression:

-4(6)

= -24

Negative times negative = positive

Negative times positive = negative

Positive times negative = negative

positive times positive = positive

Check all options:

A. -4(-6)

= 24

B. 4(-6)

= -24

C. 6(-4)

open parenthesis

= -24

D. -8(2)

= -16

E. 12(-2)

= -24

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Answer:

sup

Step-by-step explanation:

b,c,e on egde

Answer:7

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

\(\frac{7}{52}\) is a proper fraction. Therefore, it cannot be written as a mixed number.

7 can go into 52 7 times with 3 'parts' remaining.

This means that 7 is the whole number and the fraction is 3/7.

\(\frac{52}{7}=7\frac{3}{7}\)

Hope this helps.

Answer:

it will take her 9 days

Step-by-step explanation:

192- 30 = 162

162 / 18 = 9

Answer:

9 days

Step-by-step explanation:

192-30=162

162/18=9

There is 192 pages in total and if she has read 30 pages already you need to work out how much is left so you do 192-30. That would be 162 pages. It says that she reads 18 pages a day so now you need to divide 162 by 18 pages to see how many days it will take for her to finish the book. that is how the answer is 9 days.

I hope this helps

Answer:

b

Step-by-step explanation:

Answer:

options C -x^2/3z

Step-by-step explanation:

this is the correct answer after we cancelled them

Answer:

C

Step-by-step explanation:

This requires you to know the law of quotient for exponents. For this I recommend separating everything with the same variable into its own fraction to make it easier so you have (-2x^4/6x^2), (y^2/y^2), (z/z^2). Then to simplify you divide the coefficients and signs like normal but for the exponents, you subtract the exponent of the numerator from the denominator. This gives

(-x^2 / 3), (1), and ( 1/z), which you can multiple together to get c.

Hope this helps. Ask if you need me to clarify something.

Step-by-step explanation:

It's a parallelogram

WX=ZY

WZ=XY

WY the same on both///X=Z

Answer:

4x+6=2(x/3)

Step-by-step explanation:

Hi there!

The product of a number (x) and 4 is 6 less than 2 times the difference of the same number (x) and 3.

The product of x and 4

⇒ 4x

Is 6 less than

⇒ 4x+6=

2 times the difference of x and 3

⇒ 4x+6=2(x/3)

Keep in mind that product = multiplication and difference = division.

I hope this helps!

Answer:

One tip I can give is to always line up your decimals when adding or subtracting.

Step-by-step explanation:

If you don't then you will get it wrong.

Answer:

65kg

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

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

m=(3-1)/(4-3)

m=2/1

m=2

y-y1=m(x-x1)

y-1=2(x-3)

y=2x-6+1

y=2x-5

Answer:

y = mx+b

Step-by-step explanation:

Answer:

(1/2)^2 - ((-3/4)+1)^3

1/4 - 1/64

15/64

Answer:

15/64

Step-by-step explanation:

a^2 - ( b + 1)^3

Let a = 1/2  and b = -3/4

(1/2)^2 - ( -3/4 + 1)^3

Parentheses first

(1/2)^2 - ( 1/4)^3

Exponents

1/4 - 1/64

Get a common denominator and subtract

16/64 -1/64

15/64

The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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Based on the analysis, the matrices that are in row echelon form (REF) are P, R, and S. The correct option is (E).

To determine which matrices are in row echelon form (REF), we need to check if they satisfy the following conditions:

1. All rows consisting entirely of zeros are at the bottom.

2. The first nonzero entry (leading entry) in each row is to the right of the leading entry in the row above it.

3. All entries below and above a leading entry are zeros.

Let's analyze each matrix:

P =\(\left[\begin{array}{ccc}1&0&0\\-2&-1&0\\4&0&1\\0&0&3\end{array}\right]\)

Condition 1: The last row consists entirely of zeros, so this condition is satisfied.

Condition 2: The first nonzero entry in each row is to the right of the leading entry in the row above it, so this condition is satisfied.

Condition 3: All entries below and above a leading entry are zeros, so this condition is satisfied.

Therefore, matrix P is in row echelon form (REF).

Q = \(\left[\begin{array}{ccc}0&1&0\\1&2&0\\9&3&0\end{array}\right]\)

Condition 1: The last row consists entirely of zeros, so this condition is satisfied.

Condition 2: The first nonzero entry in each row is to the right of the leading entry in the row above it, so this condition is satisfied.

Condition 3: The entry above the leading entry in the third row is nonzero, so this condition is not satisfied.

Therefore, matrix Q is not in row echelon form (REF).

R = \(\left[\begin{array}{ccc}1&0&0\\-2&0&0\\3&1&0\\0&-1&0\\4&2&1\end{array}\right]\)

Condition 1: The last row consists entirely of zeros, so this condition is satisfied.

Condition 2: The first nonzero entry in each row is to the right of the leading entry in the row above it, so this condition is satisfied.

Condition 3: All entries below and above a leading entry are zeros, so this condition is satisfied.

Therefore, matrix R is in row echelon form (REF).

S = \(\left[\begin{array}{ccc}1&0&0\\-3&1&0\\4&3&1\end{array}\right]\)

Condition 1: The last row consists entirely of zeros, so this condition is satisfied.

Condition 2: The first nonzero entry in each row is to the right of the leading entry in the row above it, so this condition is satisfied.

Condition 3: All entries below and above a leading entry are zeros, so this condition is satisfied.

Therefore, matrix S is in row echelon form (REF).

Based on the analysis, the matrices that are in row echelon form (REF) are P, R, and S.

The answer is (E) Only P and R.

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Sarah's prediction for the number of online customers on May 14 follows a sinusoidal function, denoted as S(t). The formula for S(t) within the given time range of 0≤t≤12 is not provided in the question.

Jasmine's prediction, on the other hand, follows a quadratic function, denoted as J(t), where t represents the number of hours after 8 am. The formula for J(t) within the given time range of 0≤t≤12 is not provided in the question.

To determine the number of online customers predicted by each model at 7 pm on May 14, we need to substitute t = 11 (since 7 pm is 11 hours after 8 am) into the respective functions. Unfortunately, without the formulas for S(t) and J(t), we cannot calculate the specific number of online customers predicted by each model at that time.

To find the time(s) at which the difference in predicted online customers between the two models is greatest, we would need to plot the two functions on a graph and analyze their intersection points or highest/lowest points of discrepancy. However, since the formulas for S(t) and J(t) are not provided, we cannot determine the exact times or discrepancy values.

Similarly, without the formulas for S(t) and J(t), we cannot identify the specific times at which the two models predict the same number of online customers. To find these points, we would need to solve the equation S(t) = J(t), but without the functions, it is not possible.

In summary, without the formulas for S(t) and J(t), we are unable to provide the specific values for the number of online customers predicted by each model at 7 pm on May 14, determine the times with the greatest discrepancy, or identify the times at which the two models predict the same number of online customers.

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The HA Theorem is a special case of proving that two triangles are congruent. The HA theorem is a special case of the AAS theorem.

The HA congruence theorem for right triangles says that if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle then the two triangles are congruent.

It states that if both hypotenuses and a pair of acute angles of two right triangles are congruent, then the triangles are congruent.

The HA Theorem is a special case of proving that two triangles are congruent.

AAS theorem says that if two angles and any side of a triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.

AAS (Angle Angle Side) theorem states that in the two triangles, if two angles and one side of a triangle are congruent to two angles and one side of a second triangle, then the two triangles are congruent.

Hence, the HA theorem is a special case of the AAS theorem.

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The function that represent the proportional relationship between cost and number of songs is y = 3x and it's graph is attached below

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,

To find the relationship between cost and number of songs, we can write a proportional relationship for this

y = mx

m = constant of proportionality

15 = m(5)

m = 15 / 5

m = 3

The constant of proportionality is 3

The function to represent the relationship between the cost and number of songs is

y = 3x

The graph of the function is attached below

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Answer:

-9

Step-by-step explanation:

\((-9)^3 = -729\)

\(-9 = \sqrt[3]{-729}\)  (taking cube root on both sides)

Hopefully this answer helped you!!!

Answer:

- 1 7/33

all right here the answer

Answer:

$6,000

Step-by-step explanation:

We have to start by finding the conversation rate.

So, we can divide 9,600 by 8 to find how much the ratio is being multiplied by.

9,600 / 8 = 1200

Now that we know the conversion rate, we can multiply by five to find how much the expenses really cost, according to the ratio.

1200 * 5 = 6000

Their expenses this month are 6000

The quadrilateral we are dealing with here is a square.

To show  that a quadrilateral is a square, we need to show that all four sides are equal in length and that the angles are all right angles.

So let's calculate the distances between the given points like this

AB  = √((3-0) ² + (0 -4)²)

= √(9  + 16) =   √(25)

= 5

BC = √((7-3)² + (3-0)²)

= √(16 + 9)

= √(25) = 5

CD = √((4-7) ² + (7-3) ²)

= √(9 + 16)

= √(25)

= 5

DA = √ ((0-4) ² + ( 4- 7) ²)

= √(16 + 9)

= √(25)

= 5

This shows that all the sides are equal in lenght. Now, lets solve for the slopes.

mAB = (0-4)/(3-0)

= -4/3

m BC

= (3- 7)/(0-3)

= 4/3

mCD  = ( 7-4)/(3- 0)

= 3/3 = 1

mDA = (0-4)/(4-0)

= -4/4 = -1

Since the slopes of opposites sides are reciprocals thus, the quadrilateral ABCD is a Square.

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