Dwayne can spend no more than $12 at the grocery store buying loaves of bread and eggs. Each egg costs $0.20 and each loaf of
needs at least 6 eggs and 3 loaves of bread.
Let x represent the loaves of bread and y represent the number of eggs. Select all the inequalities that represent constraints for the situation.
OA 2x+0.2y>_ 9
OB. 2x+0.2y≤ 12
O C. x>_3
OD. x+y ≤ 12
O E x ≤ 3
OF. y ≤ 6
OG y>_6

Answers

Answer 1

The inequalities that represent constraints for the situation will be:

x+y ≤ 12

x >= 3

y >= 6

How to calculate the value?

Let x represent the loaves of bread

Let y represent the number of eggs.

From the information, Each egg costs $0.20 and each loaf of needs at least 6 eggs and 3 loaves of bread.

Therefore,

x >= 3

>= 3y >= 6

Also, Dwayne can spend no more than $12 at the grocery store buying loaves of bread and eggs. This will be x+y ≤ 12.

The correct options are C, D, and F.

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Related Questions

In a survey of American women who were asked to name their favorite color, 18% said blue, 15% said red, 15% said green, 12% said yellow, 13% said black, and the rest named another color. If you pick a survey participant at random, what is the probability that she named another color

Answers

To find the probability that a survey participant named another color, we need to calculate the percentage of women who named another color.

First, let's calculate the total percentage of women who named the given colors:

Blue: 18%

Red: 15%

Green: 15%

Yellow: 12%

Black: 13%

The sum of these percentages is: 18% + 15% + 15% + 12% + 13% = 73%

To find the percentage of women who named another color, we subtract this sum from 100% (the total):

100% - 73% = 27%Therefore, the probability that a survey participant named another color is 27%.

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A right triangle has a leg of 17 cm and a hypotenuse of 25 cm. What is the length of the other leg? Round to the nearest tenth.

Answers

Answer:

18.3

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

a, b = legs

c = hypotenuse

17^2 + b^2 = 25^2

b = 18.3

Sadie weights out 690 grams of flour. Using the rate from Q4, how many cups did she weigh?

Answers

Answer:

172.5 cups

Step-by-step explanation:

Q4 = 690

Q = \(\frac{690}{4}\) = 172.5

∴ She weighed 172.5 cups

which two parts of the vehicle are most important in preventing traction loss

Answers

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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DIVISON METHOD OF 527,646,1105​

Answers

Answer:

17 is the answer

Step-by-step explanation:

Someone plsssss help me. I don't get this one, it's confusing.​

Someone plsssss help me. I don't get this one, it's confusing.

Answers

Ok so the Markup is how much money you will add on the price so it's 15% of $18 and you don't need to add it onto $18

The Retail Price is the entire price so the retail would be the Markup + Price.

15% of $18 is is $2.7 and $18 + $2.7 is $20.7

Rosa y María parten del mismo punto siguiendo cada una trayectoria recta, formando entre las mismas un ángulo de 35°10’. Si Rosa camina 300 m y María 800 m, ahora están a una distancia una de la otra de:


. 581,04 m

. 518,04 m

. 397 m

. 970,77 m

Answers

La distancia entre Rosa y María es de 581,04 m

¿A que distancia estan Rosa y María?

Digamos que ambas comienzan en el punto (0m, 0m), y que Rosa se mueve en el eje x-positivo.

Si Rosa se mueve 300m, entonces su nueva posición va a ser:

(300m, 0)

Por otro lado, María se mueve en una dirección definida por el angulo 35°10' con respecto al eje x-positivo, si ella se mueve 800 metros, las nuevas componentes de su posición van a ser:

componente x = 800m*cos(35.167°) = 653.98mcomponente y = 800m*sin(35.167° ) = 460.77m  

Donde se uso:

60' = 1°

10' = (10/60)° = 0.167°

Entonces su nueva posicion va a ser (654.52m, 460m).

Ahora, recordar que la distancia entre dos puntos (x₁, y₁) y (x₂, y₂) esta dada por:

\(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\)

En este caso, queremos calcular la distancia entre los puntos:

(300m, 0m) y (653.98m, 460.77m).

\(d = \sqrt{(460.77m)^2 + (653.98m - 300m)^2} = 581.04 m\)

Así podemos concluir que la opción correcta es la primera, 581.04.

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A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible lengths for the third side?.

Answers

The possible lengths( in whole elevation) for the third side is

9 elevation< x< 45 elevation, i.e in between 9 and 45 elevation.

 For the below question, we've a rule from the properties of triangle, the sum of the length of any two  sides of the triangle must be lesser than the length of the third side.

Hence

She has two sides of length 18 elevation and 27 elevation

Let the third side = x

Hence

a) 18 27> x

45> x

b) 18 x> 27

x> 27- 18

x> 9

thus, the possible lengths( in whole elevation) for the third side is

elevation< x< 45 elevation

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Which of the following pairs of slopes are of perpendicular lines? 3/4 and -4/3 -2/5 and -5/2 1/2 and 2

Answers

Answer:

3/4 and -4/3, -2/5 and 5/2

Step-by-step explanation:

Slopes are perpendicular if the slopes are the negative reciprocal of the other

Add at least 2 ways people in this job use arts and music ( that job is a dancer btw)

Add at least 2 ways people in this job use arts and music ( that job is a dancer btw)

Answers

Answer:

arts: movement and flexibility  Music: communication and rhythm

(PLEASE I NEED HELP!!) Which graph best represents the function f(x) = (x + 2)(x − 2)(x − 3)? a Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, 2, and 3. The graph intersects the y axis at a point between 10 and 15. b Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 2, and 3. The graph intersects the y axis at a point between 15 and 20. c Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 1, and 3. The graph intersects the y axis at a point between 5 and 10. d Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 1, 1, and 4. The graph intersects the y axis at a point between 0 and 5.

Answers

(a) Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts -2, 2, and 3

How to determine the graph that best represents the function

From the question, we have the following parameters that can be used in our computation:

f(x) = (x + 2)(x − 2)(x − 3)

The above equation is a cubic function

So, we set it to 0 next

Using the above as a guide, we have the following:

(x + 2)(x − 2)(x − 3) = 0

Evaluate

x = -2. x = 2 and x = 3

This means that the solutions are x = -2. x = 2 and x = 3 i.e. graph a

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NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters

Answers

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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The product of 2.5 and a number is 10. First write an equation to describe the situation.

The product of 2.5 and a number is 10. First write an equation to describe the situation.

Answers

Answer:

2.5 X z = 10

z stands for the unknown number that is multiplied by 2.5 to equal 10

did we prove the conclusion true for every isosceles triangle or only for this specific isosceles triangle?

Answers

∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

We are given that:

AB = BC

Now, draw a angle bisector from point B to the line AC in a way that it intersects AC at D.

Now, we get that:

∠ABD = ∠CBD ( BD is the angle bisector)

BD = BD ( common line)

So, ΔABD ≅ Δ CBD ( SAS property)

So,

∠A = ∠ C ( CPCT rule)

Also, it will be true for every isosceles triangle.

Therefore, we get that, ∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

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Your question was incomplete. Please refer the content below:

There is an isosceles triangle with AB = BC. Prove that ∠A = ∠C.

Did we prove the conclusion true for every isosceles triangle or only for this specific isosceles triangle.

did we prove the conclusion true for every isosceles triangle or only for this specific isosceles triangle?

The factorization of 12a^2b+15ab^2 gives:
1 point
3ab(4a+5b)
3b(4a + 5b)
3a(4a+5b)
3ab(4ab+5)
The factorization of 12x+36 is
1 point
12(x+3)
12(3x)
12(3x+1)
x(12+36x)
On factorising 14pq + 35pqr, we get:
1 point
pq(14+35r)
p(14q+35qr)
7pq(2+5r)
q(14p+35pr)
The factors of x^2 +xy+8x+8y are:
1 point
(x+y) (x+8)
(x+2y) (x+8)
(2x+y) (x+8)
(x+y) (2x+8)
Which of the following are the factors of a^2 + ab +bc + ca
1 point
(b + c) (c + a)
(a + b) (a + c)
a(a + b + c)
(a + b) (b + c).
Submit
Clear form

Answers

Answer:

Step-by-step explanation:

3ab (4a+5b)

12 (x+3)

7pq (2+5r)

(x+y)(x+8)

The curve y tan x crosses the line y = 7x at a non-zero x-value between x = 0 and X Ξ . Use Newton's method to find where the curves intersect. The curve y = tan x crosses the line y = 7x at x = (Type an integer or decimal rounded to seven decimal places as needed.) Enter your answer in the answer box. 8:04 PM O Type here to search
Previous question
Next

Answers

To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.

We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.

Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:

x_(n+1) = x_n - f(x_n) / f'(x_n),

where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).

We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.

Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.

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find the net change in the value of the function between the given inputs. f(x) = 6x − 5; from 1 to 6

Answers

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Match the correct figure to each label.

Match the correct figure to each label.

Answers

CD with the points at the end (like a number line) with the numbers C, D go in the last box.

The ones in forms of angles with the letters C, T, M in the first one

The correct figure matched to each label is given below.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

We have 5 diagrams.

The first diagram represents the segment CD.

The second diagram represents a ray CD.

The angle measure of CTM is represented by the third diagram.

The angle measure of TCM is represented by the fifth diagram.

And the free line from the both sides CD is given in the fourth diagram.

The matched images are given in the attached image.

∠CTM = Image 1 (attached)

CD = Image 2 (attached)

Therefore, the matched images are given above.

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Match the correct figure to each label.
Match the correct figure to each label.

Which phrase matches the algebraic expression below?
2(x-7)+10
Two times the sum of x and seven plus ten
Two times the difference of x and seven plus ten
Two times x minus seven plus ten
Two times x minus the sum of seven and ten

Answers

Answer:

i think is the second one

The expression 2(x − 7) + 10 matches with two times the difference of x and seven plus ten. Option B is correct.

It is Given that Which phrase matches the algebraic expression 2(x − 7) + 10 is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here, 2(x − 7) + 10

When we turn the above algebraic expression into word phrase,

"two times the difference of x and seven plus ten"

Therefore, the given algebraic expression 2(x − 7) + 10 matches with two times the difference of x and seven plus ten. Option B is correct.

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3. Walter has placed 200 in an account that pays simple interest of 8% annually. How much interest will
Walter have after 3 years?

Answers

Walter will have 24% interest

Find the surface area of the composite solid. Round your answer to the nearest hundredth.

A composite figure of a right cylinder with a right pentagonal prism on top of it. One of the pentagon face sits on the face of the cylinder. The radius of the cylinder is 6 feet, the height is 4 feet. The height of the pentagonal prism is 7 feet and the edge length of all the sides on the pentagon face is 4 feet.
The surface area is about square feet.

Find the surface area of the composite solid. Round your answer to the nearest hundredth.A composite

Answers

Answer:

516.99

Step-by-step explanation:

i just answered it and it told me the correct answer after i did it

the weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 17 . if 15 fish are randomly selected, what is the probability that the mean weight will be between 16.1 and 22.1 lb? (sorry, there is an error here, for now use z-scores on this)

Answers

The probability that the mean weight will be 0.4923

What is Probability?

A probability is a number that represents the likelihood or chance that a specific event will occur. Probabilities can be expressed as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Given,

µ = 18

Standard Deviation  = 17

N = 15

Find: P(16.1 < bar{X} < 22.1)

= P (  \(\frac{16.1 - µ}{σ / \sqrt{N} }\)  <  \(\frac{X - µ}{σ / \sqrt{N} }\)  < \(\frac{22.1 - µ }{σ / \sqrt{N} }\) )

= P  ( \(\frac{16.1 - 18}{17 / \sqrt{15} }\) < Z < \(\frac{22.1 - 18}{17 / \sqrt{15} }\) )

= P(-0.4329 < Z < 0.9341)

= P(Z < 0.9341) - P(Z < -0.4329)

= 0.8249 - 0.3326

= 0.4923

The probability that the mean weight will be 0.4923

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Please help me!
"Explain why this graph shows a function."

Please help me! "Explain why this graph shows a function."

Answers

Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

If Yafet raises $18 and Darnell raises $24, what fraction of Darnell’s goal did Yafet raise?

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

A mountain is in the shape of a cone whose height is about 3.8 kilometers and whose base radius is about 3 kilometers. Approximate the volume of the mountain in cubic kilometers.
The volume of the mountain is approximately cubic kilometers.
(Round to the nearest whole number as needed.)

Answers

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

What is volume?

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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please help thank you

please help thank you

Answers

Answer:

\(x - 2 = 0 \\ x = 2 \\ p(2) = 0 \\ {2}^{4} - d {2}^{3} + 8 \times {2}^{2} - 14 \times 2 + 16 = 0 \\ 16 - 8d + 32 - 28 + 16 =0 \\ 8d = 36 \\ d = 36 \div 8 = 4.5\)

enjoy it

I need help with this question please ​

I need help with this question please

Answers

Answer:

y = - |x| - 4

Step-by-step explanation:

this is an absolute value graph

Find the derivative.
f(X) = (2e^3x + 2e^-2x)^4

Answers

To find the derivative of f(x) = (2e^(3x) + 2e^(-2x))^4, we can use the chain rule and the power rule.

First, we need to find the derivative of the function inside the parentheses, which is:

g(x) = 2e^(3x) + 2e^(-2x)

The derivative of g(x) is:

g'(x) = 6e^(3x) - 4e^(-2x)

Now, using the chain rule and power rule, we can find the derivative of f(x):

f'(x) = 4(2e^(3x) + 2e^(-2x))^3 * (6e^(3x) - 4e^(-2x))

Simplifying this expression, we get:

f'(x) = 24(2e^(3x) + 2e^(-2x))^3 * (e^(3x) - e^(-2x))
To find the derivative of f(x) = (2e^(3x) + 2e^(-2x))^4, we can use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Let u = 2e^(3x) + 2e^(-2x). Then f(x) = u^4.

First, find the derivative of the outer function with respect to u:
df/du = 4u^3

Next, find the derivative of the inner function with respect to x:
du/dx = d(2e^(3x) + 2e^(-2x))/dx = 6e^(3x) - 4e^(-2x)

Now, use the chain rule to find the derivative of f with respect to x:
df/dx = df/du * du/dx = 4u^3 * (6e^(3x) - 4e^(-2x))

Substitute the expression for u back into the equation:
df/dx = 4(2e^(3x) + 2e^(-2x))^3 * (6e^(3x) - 4e^(-2x))

This is the derivative of f(x) with respect to x.

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A card is drawn one at a time from a
well-shuffled deck of 52 cards. In 13
repetitions of this experiment, 1
king is drawn. If E is the event in
which a king is drawn, find the
experimental probability P(E).
P(E)=

A card is drawn one at a time from awell-shuffled deck of 52 cards. In 13repetitions of this experiment,

Answers

The empirical probability of drawing the cards will be 6 / 55.

What is empirical probability?

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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1) charlotte thought of two different ways to define this quantity. identify these two definitions among the following options.

Answers

The two options to define increase in subscribers per amount of content is:

1)A Number of new subscribers divided by number of writers

2)Number of new subscribers divided by number of posts

Based on the fact that charlotte has launched two new websites and want to understand how to measure the increase in subscribers per amount of content.

The four options given to us are:

(Choice A) Number of new subscribers divided by number of writers (Choice B) Number of new subscribers divided by number of likes (Choice C) Number of new subscribers divided by number of posts (Choice D) Number of new subscribers divided by number of words

The only two choices which quantify content are number of writers and number of post. Hence A and C are the correct options.

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The complete question is given below:

Charlotte owns two entertainment websites. Charlotte wants to know which website gains more new subscribers per amount of content. Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.

(Choice A)  Number of new subscribers divided by number of writers (Choice B)  Number of new subscribers divided by number of likes (Choice C)  Number of new subscribers divided by number of posts (Choice D)  Number of new subscribers divided by number of words

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Dentro de 10 aos tendr el doble de la edad q tuve hace 4 aos.Cuantos aos tengo Find the volume for the cylinder using the correct formula.LINKS WILL BE REPORTED If y varies directly w x and y = -12 when x = 6 find x when y = -4 Can ya'll help me with this, please? what is the chemistery Factorize the given expressions below. a) 6x power 2 -3xb) x power 2 + 3x - 28c) 4au + 24av - 5bu - 30bvplease answer and make it clear. give them brainlest answer. programmable logic controllers are categorized according to the find the extrema of f subject to the stated constraints. 1. f(x, y, z) = x-y+z, subject to x^2 + y^2 + z^22. f(x, y) = x - y, subject to x^2- y^2 = 2 Outline and discuss in detail a relevant example of any companyor organisation to illustrate the importance of function ofmanagement with around 400 words Please may someone help me on this,please answer all of it plzzzzz asap help please its due at a certain time Please help.Match the term with the correct definition1. Boycott2. Repeal3. Delegate4. First Continental Congress5. Second Continental Congress6. Declaration of Independence- A representative to a meeting.- A meeting of delegates that met to discuss whether or not to continue to work towards peace with Britain or break away from the country.- A meeting of delegates from 12 colonies that met to plan a response to the Coercive Acts.- A document written by Thomas Jefferson that outlined the reasons for the colonies to split with Britain.- To refuse to purchase certain goods or services.- To cancel a law. Who were most likely to be educated in Georgia in the early 1800s? all white Georgians wealthy Georgians enslaved Georgians all Georgians the value of 4 in the 542.3 plz help me for this questions plz plz plz What is the difference between the mughals conquest and the ottoman conquest?NEED ASAP!!Brainliest to best answer to prepare a dog for surgery, about 30 mg (kg body mass)1 of phenobarbital must be administered intravenously. the anesthetic is metabolized with first-order kinetics and a half-life of 4.5 h. after about 2 h, the drug begins to lose its effect in a 15-kg dog. For the following two vectors, calculate stack r subscript 1 times with rightwards harpoon with barb upwards on top stack r subscript 2 with rightwards harpoon with barb upwards on top. Stack r subscript 1 with rightwards harpoon with barb upwards on top equals 6 i with hat on top plus 2 j with hat on top space space space space space space stack r subscript 2 with rightwards harpoon with barb upwards on top equals 7 i with hat on top plus j with hat on top Which came first: land plants or dinosaurs? which ancient principles can be found in American government today