Solve for the value of v.
(9v-3) 84°

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

1a 2a

Step-by-step explanation:

n × (−2+5 ) = −8+20

n × 3 = 12

n = 4

2 + (n+6) = −1+6

n + 8 = 5

n = -3

Answer:

Number of sodas sold: 78

Number of hot dogs sold: 24

Step-by-step explanation:

Number of sodas sold = x

Number of hot dogs sold = x - 54

Total number of sodas and hot dogs = x + x - 54 = 2x - 54

Total number = 102

2x - 54 = 102

2x = 156

x = 78

Number of sodas sold = x = 78

Number of hot dogs sold = x - 54 = 78 - 54 = 24

Answer:

Number of sodas sold: 78

Number of hot dogs sold: 24

The inequality 2x > 0 is true for all values of x greater than 0.

An inequality is a statement that compares the relative size or value of two mathematical expressions. It is used to indicate a relationship of being greater than, less than, greater than, or equal to, or less than or equal to.

There are two types of inequalities, strict inequalities, and non-strict inequalities. This is because when x is greater than 0, multiplying it by 2 will result in a value that is also greater than 0.

On the other hand, when x is less than 0, multiplying it by 2 will result in a negative value, which will not be greater than 0.

Therefore, the inequality 2x > 0 is true for x > 0.

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Using Direct Variation, the value of n = 26

An equation is an expression that shows the relationship between two or more numbers and variables.

We need to Write y = kx based on the conditions stated.

Replace with: -18 = k x 3

Turn the sides around: k × 3 = -18

Now Subtract the coefficient of the variable from both sides of the equation:

k = 26 compute the product or quotient.

Write the function's equation as;

y = 26x

Replace with:

n = 26 × 4

n = 104; compute the product or quotient.

Response: n = 26

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Answer:

Step-by-step explanation:

The reason why you should save money because if you spend all of your money you won't able to take care of yourself, your house, or have nothing to do

Answer:

4,508dividido  17

Step-by-step explanation:

Answer:

f(x)=2e^x

Step-by-step explanation:

graphic calculator

Answer:

Step-by-step explanation:

Ok1

1. Put percent into numbers

25/100*8=

200/100=

2

2. Add

There was a increase of 2 dollars from 8$

8$+2$=

10$

Answer: 10$

Answer:10

note: please tell me if I'm wrong

The slope of the tangent line to the curve is given by dy/dx at t=1 is -9 - (3/√21) given the parametric equations r=/²-21 and y=3t+1.

To calculate the slope of the tangent line to the curve given by the parametric equations x = t² - 2 and y = 3t + 1, we need to find the derivative dy/dx with respect to the parameter t.

First, we can rewrite r in terms of x and y using the Pythagorean theorem:

x^2 + y^2 = 21

Substituting in our given parametric equations, we get:

x^2 + (3t+1)^2 = 21

Simplifying, we get:

x^2 + 9t^2 + 6t + 1 = 21

x^2 + 9t^2 + 6t - 20 = 0

Now, we can take the derivative of both sides with respect to t:

2x(dx/dt) + 18t + 6 = 0

Solving for dx/dt, we get:

dx/dt = (-9x - 3)/x

Evaluating this at r=√21 and y=3t+1, we get:

dx/dt = (-9√21 - 3)/(√21)

Simplifying, we get:

dx/dt = -9 - (3/√21)

Therefore, the slope of the tangent line to the curve at t=1 is -9 - (3/√21).

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The expression (8x^3 - 7x^2 + 9 ) − (−3x^2 + 4x^3 - x) is:  4x^3 - 4x^2 + x + 9.

First step is to  distribute the negative sign

(8x^3 - 7x^2 + 9 ) − (−3x^2 + 4x^3 - x)

= 8x^3 - 7x^2 + 9 + 3x^2 - 4x^3 + x

Second step is for us  to combine like term

8x^3 - 4x^3 = 4x^3

-7x^2 + 3x^2 = -4x^2

Putting these together

(8x^3 - 7x^2 + 9 ) − (−3x^2 + 4x^3 - x)

= 4x^3 - 4x^2 + x + 9

Therefore the expression is  4x^3 - 4x^2 + x + 9.

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Answer:

option B is correct.

Explanation:

\(\sf Equation : y-4\ =-\frac{2}{3}\left(x+3\right)\)

\(\sf \rightarrow y\ =-\frac{2}{3}x-2 + 4\)

\(\sf \rightarrow y\ =-\frac{2}{3}x + 2\)

comparing it with slope intercept form "y = mx + b'' where m is slope and b is y-intercept.

Here slope: -2/3 and y-intercept: 2

This means the slope is decreasing and has crosses the y axis at (0, 2)

Answer:

5: B

6: B

Step-by-step explanation:

For 5 all you have to do is look for the line that has a slope of 2

The only line that has a slope of 2 is line 2 therefore your answer is B

For 6

Slope intercept form - y = mx + b

where y = slope and b = y intercept

first lets find the y intercept

y intercept (b) = y value of the coordinate ( More specifically the coordinate where the line passes the y axis. )

The line passes the y axis at point (0,2)

The y value of that coordinate is 2 so the y intercept is 2, Hence b = 2

now we have y = mx + 2

Now let's find the slope.

Slope = change in y over change in x.

For this line as y goes up 1, x goes up 3

So the slope would equal 1 over 3

We then plug in 1/3 for m in the slope intercept equation

We would be left with \(y=\frac{1}{3} x+2\) which corresponds with answer choice B

The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

The following variables must be included in Z for the model to be dynamically complete: Zt-2, Zt-1, Zt, yt-2. Thus, the correct answer is (a), (b), (c), and (g).Explanation:According to the given information and model, for the model to be dynamically complete, it needs to include some variables in Z. To be precise, for a model to be considered as dynamically complete, all the past values should be included in Z. The given model is:y

= Bo + Bızı + Bazi-1 + $3Zt-2 + $4Z1-3 + up .Expected value of y, conditional on all current and past values of z and y, is equal to Ely,IZ.The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

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Answer:

The inverse of a function can be viewed as the reflection of the original function over the line y = x. In simple words, the inverse function is obtained by swapping the (x, y) of the original function to (y, x)

Step-by-step explanation:

Hope that helps!

The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

A reflected coordinates are mirror images of each other. From the given diagram, the coordinate points are;

P = (-4, -3)

Q = (-2,-4)

R = (1, -2)

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

The y coordinates are multiplied by a factor of 2

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Answer:

5

Step-by-step explanation:

1 yard=3ft.

2x3=6

30/6=5

Answer:

$15.00

Step-by-step explanation:

1 yard= 3 feet

2 yards =6 feet

2 yard divided by 30=$15.00

1 foot= $15

It is a proportionate relationship if the ratio remains not constant constant.

As an illustration of a proportionate relationship in real life, let's look at the following: There is a correlation between the number of gallons of gas we put in our car and the price we will have to pay when we fill up the tank. That is to say, the more gas we use, the more we will have to pay.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. The "constant of proportionality" is a term used to describe this constant.

Examining the ratios between the two variables will help you determine whether a relationship is proportional. It is a proportionate relationship if the ratio remains constant.

11     $24  

36    $39

66     $79

85     $98

It is a proportionate relationship if the ratio remains not constant constant.

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Answer:

-13/20?

Step-by-step explanation:

The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

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The cut separates the variables from their negations, each clause will have at least one true literal, satisfying the 3SAT instance.

To show that MAX-CUT is NP-complete, we need to demonstrate two things: First, that MAX-CUT is in the NP complexity class, meaning that a proposed solution can be verified in polynomial time. Second, we need to reduce a known NP-complete problem to MAX-CUT, showing that MAX-CUT is at least as hard as the known NP-complete problem.

MAX-CUT is in NP:

To verify a proposed solution for MAX-CUT, we can simply check if the cut separates the vertices into two disjoint subsets S and T, and count the number of edges that cross the cut. If the number of crossing edges is equal to or larger than k, we can accept the solution. This verification process can be done in polynomial time, making MAX-CUT a member of the NP complexity class.

Reduction from a known NP-complete problem:

We will reduce the known NP-complete problem, 3SAT, to MAX-CUT. The 3SAT problem involves determining if a given Boolean formula in conjunctive normal form (CNF) is satisfiable, where each clause contains exactly three literals.

Given an instance of 3SAT with n variables and m clauses, we construct a graph G for MAX-CUT as follows:

Create a vertex for each variable and its negation, resulting in 2n vertices.

For each clause (a ∨ b ∨ c), introduce three additional vertices and connect them in a triangle. Label one vertex as a, another as b, and the third as c.

Connect the variable vertices with the corresponding clause vertices. For example, if the variable is x and it appears in the clause (a ∨ b ∨ c), create edges between x and a, x (negation of x) and b, and x and c.

Now, we claim that there exists a cut in G of size k or more if and only if the 3SAT instance is satisfiable.

If the 3SAT instance is satisfiable, we can assign truth values to the variables such that each clause evaluates to true. We can then define the cut by placing all true variables and their negations in one subset S, and the remaining variables and their negations in the other subset T. The number of crossing edges in the cut will be at least k, as each clause triangle will have at least one edge crossing the cut.

If there exists a cut in G of size k or more, we can use it to derive a satisfying assignment for the 3SAT instance. Assign true to all variables in subset S and false to those in subset T.

Therefore, we have successfully reduced 3SAT to MAX-CUT, showing that MAX-CUT is NP-complete. This conclusion is based on the assumption that 3SAT is already a known NP-complete problem, as stated in Problem 7.26.

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Answer:

the average for 129 is 159 and the average for 47 is 49

Step-by-step explanation:

The only solutions for the equation in the interval [0, 2π) are θ = 0, and π.

We have,

We can start by squaring both sides of the equation:

(sinθ + 1)² = cos²θ

Expanding the left side:

sin²θ + 2sinθ + 1 = 1 - sin²θ

Simplifying:

2sin²θ + 2sinθ = 0

Factor out 2sinθ:

2sinθ(sinθ + 1) = 0

This gives us two possible solutions:

sinθ = 0 or sinθ = -1

For the first solution,

sinθ = 0

θ = 0, π

For the second solution,

sinθ = -1, which is not possible since the sine function has a maximum value of 1 and a minimum value of -1.

Therefore,

The only solutions in the interval [0, 2π) are θ = 0, and π.

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The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

We have,

Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.

Here are a few potential effects to consider:

Increased purchasing power:

When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.

As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.

A shift in consumer preferences:

With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.

This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.

Price sensitivity:

While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.

As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.

Employment and production costs:

An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.

To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.

These factors could impact the overall supply of clothes and potentially influence prices.

Thus,

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

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The set of integers that are multiples of 10 is not finite, but rather infinite. An integer is a whole number that can be positive, negative, or zero and is not a fraction.

The integers that are multiples of 10 form a set that is countably infinite with one-to-one correspondence 1↔0, 2↔10, 3↔-10, 4↔20, 5↔-20, 6↔30, and so on. The integers that are multiples of 10 form a countably infinite set with a one-to-one correspondence to the set of positive integers. This can be seen from the given list of multiples: 1艹0, 2艹10, 3艹-10, 4艹20, 5艹-20, 6艹30, and so on. Each positive integer corresponds to a unique multiple of 10 and vice versa. Therefore, the set of integers that are multiples of 10 is not finite, but rather infinite.

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Answer:

59 years and younger

Step-by-step explanation: