which table has a constant of proportionality between y and x of 2

Answer:

x=25

x=47

y=25 x=10

y=20

Step-by-step explanation:

2x+10=60

-10 -10

2x=50

2x/2=50/2

x=25

2x+6=100

-6 -6

2x=94

2x/2=94/2

x=47

5y-25=100

+25 +25

5y=125

5y/5=125/5

y=25

11x-30+100=180

11x+70=180

-70 -70

11x=110

11x/11=110/11

x=10

7y-10=3y+70

+10 +10

7y=3y+80

-3y-3y

4y=80

4y/4=80/4

y=20

hopefully this helps :)

The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6

Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.

Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.

Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.

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Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

The sum of legs for a right triangle is 12:

\( a + b = 21 \)

\( a = 21 - b \)   (1)

And their product is:

\( a*b = 40 \)   (2)

By entering eq (1) into (2) we have:

\( (21 - b)b = 40 \)                          

\( 21b - b^{2} - 40 = 0 \)  

We can find the value of "b" by solving the above quadratic equation.

\( b_{1} = 2.1 \)

\( b_{2} = 18.9 \)

Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.      

\( a = 21 - 2.1 = 18.9 \)                                                                              

Now, the hypotenuse of the right triangle is given by:

\( h = \sqrt{a^{2} + b^{2}} = \sqrt{(18.9)^{2} + (2.1)^{2}} = 19 \)

Hence, the perimeter is:

\( P = a + b + h = 18.9 + 2.1 + 19 = 40 \)

Therefore, the perimeter of the triangle is 40.

I hope it helps you!          

It takes 6 weeks to brew a particular lager and the brewery anticipates serving 200 pints of this lager a day. To find: How big of a vessel will the brewery require? Solution: The brewery anticipates serving 200 pints of lager per day. It takes 6 weeks to brew a particular lager.

There are 7 days in a week. So, the total number of days required to brew the lager= 6 x 7= 42 days. It is given that the brewery anticipates serving 200 pints of lager per day. So, the total number of pints that the brewery will require to serve 200 pints per day for 42 days= 200 x 42= 8400 pints.1 gallon= 8 pints Therefore, 8400 pints= 8400/8 gallons= 1050 gallons. Hence, the brewery requires a vessel of 1050 gallons. Answer: 1050.

It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification. Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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Answer:

2210

Step-by-step explanation:

390 =15%

390*3 = 130=5%

130*17=2210

The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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The office concluded that the driver exceeded the speed limit by 64.3mi/h.

Given that the second cop, who arrived 28 minutes later, was recorded traveling at 60 mph while the patrol officer was traveling 30 miles along the roadway.

According to the mean value theorem, There exists a value of x = c such that f'(c) = [f(b)-f(a)][b-a] if f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b).

This implies the following in "lay man's" terms:

the instantaneous speed (the speed at any given time) must be equal to his average speed

Since the driver is driving along the highway, we can assume his position to be continuous and differentiable

his average speed is defined as:

average speed=[x(b)-x(a)]÷[b-a] where x represents his position

average speed=[30 - 0]÷[(28÷60) - 0]

average speed=30÷0.466

average speed=64.3mi/hr

Since the time is given in minutes, we convert it in hours by dividing it by 60.

Therefore, by the MVT the police officers can determine that at some point in time (even though he was only driving 60mph at the second patrol officer's location) since his average speed was approximately 64.3 mi/hr there was a point in time during the 28 minutes that his speed exceeded 60 mph.

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Answer:

-1

Step-by-step explanation:

(9 divided by 3) + 4 (6 - 7) =

(9 ÷ 3) + 4 (6 - 7) =

( 3 ) + 4 ( -1 ) =               Multiply 4 by -1

( 3 )  ( -4 ) =                   Subtract

-1

Answer:

50% agreed

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

5/10 = .5

.5x100 =50

so the answer is 50%

Answer:

.03%

Step-by-step explanation:

The sample space of outcomes of the given experiment is {r3, r5, s3, s5, t3, t5}

One spinner has three same-sized sectors labeled = r, s and t

A second spinner has two same-sized sectors labeled = 3 and 5

Given that the each spinner is spun once

The sample space is defined as the set of all possible outcomes of the random experiments. Usually the sample space of the random experiment is represented by the letter S.

Here,

The sample spaces are

= {r3, r5, s3, s5, t3, t5}

The total number of outcomes = 6

Therefore, the sample space is {r3, r5, s3, s5, t3, t5}

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The probability of line from F to B = 25% and the probability of the second line from A to F = 75%

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 20

event of the first line = 5

event of the second line = 15

probability of line from F to B = 5/20

(5 × 100)/20 = 25%

probability of the second line from A to F = 15/20

(15 × 100)/20 = 75%

Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)

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The probability of line from F to B = 25% and the probability of the second line from A to F = 75%

What is probability

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 20

event of the first line = 5

event of the second line = 15

probability of line from F to B = 5/20

(5 × 100)/20 = 25%

probability of the second line from A to F = 15/20

(15 × 100)/20 = 75%

Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)

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Answer:

No solutions

Step-by-step explanation:

Convert both equations into y = mx + b form, where m is the slope and b is the y intercept.

8x + 4y = 12

4y = -8x + 12

y = -2x + 3

Rearrange the other equation:

3y = -6x - 15

y = -2x - 5

So, both equations have a slope of -2. But, one has a y intercept of 3 and the other has a y intercept of -5.

Because the lines have the same slope but different y intercepts, the lines are parallel.

Parallel lines have no solutions, because they will never intersect.

So, the system has no solutions.

Answer:

plz mark me brainliest

Step-by-step explanation:

thanks for question

Answer:

0,2

Step-by-step explanation:

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

Answer:

The answer is 4 because are all separate variables (also  combines into one variable)

Step-by-step explanation:

Answer: A LOGIC error

Step-by-step explanation:

Answer:

Step-by-step explanation:

When a figure is dilated, it means there is a transformation carried out on the figure. The dilation may cause the figure to increase or reduce in size depending on the dilation factor.

If the dilation factor of an object is greater than 1, the resulting image will be a magnified image otherwise, it will be a diminished image.

Given the dilation factor in question DP to be 4, this means that the new image formed will be 4times bigger than the original.

According to the diagram,  side PR = 3, if this is dilated by factor of 4, the side PR' will be equal to 4*PR

PR' = 4 * PR

PR' = 4*3

PR' = 12units

The domain is (−∞,∞) and the range is −3∪2.

==================================================

Reason:

The domain is the set of possible x inputs of a function.

The graph stretches to the left and right infinitely. Therefore, the domain is the set of all real numbers in which we could write \(-\infty < \text{x} < \infty\) and that condenses to the interval notation \((-\infty, \infty)\)

The value x = 2 is in the domain even though there's an open hole at (2,-3). There's also a closed filled in endpoint at (2, 2) to fill in the gap so to speak.

-----------------------------------

The range is the set of possible y outputs. In this case, we have exactly two outputs only: they are y = 2 and y = -3

The range written in roster notation is {2, -3}. Roster notation is useful when we have small sets like this.

To write the interval notation for y = 2, we say [2, 2]. Similarly, we would say [-3, -3] for y = -3

Union those intervals together to get [-3,-3] U [2,2]. It shortens down to -3 U 2 even if the notation isn't exactly entirely correct.

Answer:

c=10

Step-by-step explanation:

Hope it helps. Doing all your questions that you send XD

Answer:

10

Step-by-step explanation:

using the pythagorean theory the missing side would be \(c^{2}\) bs its the hypotenuse so

\(a^{2} + b^{2} = c^{2}\)

\(8^{2} + 6^{2} = c^{2}\)

\(64 + 36 = c^{2}\)

\(100 = c^{2}\)

and the square root of 100 is 10, which makes your equation

\(c = 10\)

Answer:

3 1/2 is between 3 and 4  in the MIDDLE. 3/12 would be between 3 and 3 1/10

Answer:

Step-by-step explanation:

3 1/2 > 3 1/12

so 3 1/2 is right of 3 1/12.

There is ONLY ONE __ line parallel to the provided line that passes through a certain point that is not contained in the supplied line.

Parallel lines are any two or more lines that are in the same plane but never cross one another ( never intersect). Both have the same slope and are equally far from one another.

We have a line and a point outside the line;

from that point, we can generate many lines, but only one of those lines will be parallel to the line as it is. From a point, we can make many lines, but that point can only create one line that will be parallel to a given line.

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

\(\sqrt{5*4-3*2}\)=\(\sqrt{14}\)

Step-by-step explanation:

Operations are used to represent algebraic expressions

The value of 4∎2 is \(\mathbf{ \sqrt{14}}\)

The operation is given as:

\(\mathbf{a\ n\ b = \sqrt{(5a - 3b)}}\)

4∎2 means that a = 4 and b = 2.

So, we have:

\(\mathbf{4\ n\ 2 = \sqrt{(5(4) - 3(2))}}\)

Expand

\(\mathbf{4\ n\ 2 = \sqrt{(20 - 6)}}\)

\(\mathbf{4\ n\ 2 = \sqrt{14}}\)

Hence, the value of 4∎2 is \(\mathbf{ \sqrt{14}}\)

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Answer:

A , 10 unit square

B , 13 unit square

C , 9 unit square

D , 25 unit square

Step-by-step explanation:

I HOPE IT HELPS:))) !!!!

Answer:    2 cups

Step-by-step explanation:

sorry if im wrong

Answer:

B

Step-by-step explanation:

\(4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0\)

B is factorable through this method

Step-by-step explanation:

m(m - 6) = 0

it is a square equation as m² - 6m = 0

so, there must be 2 solutions.

luckily, the initial firm of the equation gives us both of them right away.

when is m(m-6) = 0 ?

either m = 0 or m-6 = 0

so, m = 0 is the first solution.

and m-6 = 0 means m = 6 is the second solution.

We start by using the chain rule to find the derivative of w with respect to t: dw/dt = (∂w/∂x) (dx/dt) + (∂w/∂y) (dy/dt) + (∂w/∂t)

dw/dt = 320 when t = 1.

To find ∂w/∂x, we treat y and t as constants and differentiate w = x^2 y^2 t with respect to x:

∂w/∂x = 2xy^2 t

To find ∂w/∂y, we treat x and t as constants and differentiate w = x^2 y^2 t with respect to y

∂w/∂y = 2x^2 yt

To find ∂w/∂t, we treat x and y as constants and differentiate w = x^2 y^2 t with respect to t:

∂w/∂t = x^2 y^2

Substituting the given values x = 4t and y = 2t, we get:

∂w/∂x = 2(4t)(2t)^2 t = 32t^4

∂w/∂y = 2(4t)^2 (2t) t = 64t^4

∂w/∂t = (4t)^2 (2t)^2 = 64t^4

Using these values, we can write:

dw/dt = (∂w/∂x) (dx/dt) + (∂w/∂y) (dy/dt) + (∂w/∂t)

= (32t^4)(4) + (64t^4)(2) + (64t^4)

= 320t^4

Finally, substituting t = 1, we get:

dw/dt = 320(1)^4 = 320

Therefore, dw/dt = 320 when t = 1.

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The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And the given values are:

mean value = 69 inches

s.d value = 2.8 inches

And the value of x is 71.9 inches.

So, The Z score is

z = x - mean / standard deviation

substitute the values in it then

z = 71.9 - 69 / 2.8

then

z = 2.9 /2.8

z  = 1.03

So, The value of the z score is 1.03.

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