The graph below represents which system of inequalities? (2 points)

graph of two infinite lines that intersect at a point. One line is dashed and goes through the points 0, 2, negative 2, 0 and i

y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3 x − 2
y ≥ 2x + 2
None of the above

There are 9 tables with 4 chairs in the restaurant.

Let's establish the variables:

Let x be the number of tables with 4 chairs

Let y be the number of tables with 5 chairs

Let z be the number of tables with 6 chairs

We know that there are a total of 19 tables, therefore:

x + y + z = 19 (equation 1)

We also know that the total number of people that can be accommodated in tables with 4 or 5 chairs is 64, therefore:

4x + 5y = 64 (equation 2)

We want to find the value of x, so we need to eliminate y from the equations above. We can do this by multiplying equation 2 by 4, and then subtracting it from equation 1:

x + y + z - 16x - 20y = 19 - 256

Simplifying:

-15x - 19y = -237

Dividing both sides by -19:

x = 9

Therefore, there are 9 tables with 4 chairs.

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Translated Question: Clear the selection Question 2: In a restaurant for 94 people there are 19 tables that can seat 4.5 or 6 people. If we know that the total number of tables with 4 or 5 chairs can accommodate 64 people, how many tables have 4 chairs?

Answer:

1.35

Step-by-step explanation:

a × (b × c) = (-32, -16, -32). To find a × (b × c), we first need to find b × c. Using the vector cross product formula, we have:

b × c = (2)(-4) - (0)(2), (-2)(0) - (-2)(0), (-2)(0) - (2)(0)
     = -8, 0, 0
Now, we can use the vector triple product formula to find a × (b × c):
a × (b × c) = a(b · c) - c(b · a)
            = (4, 2, 3)(-8) - (0, 0, -4)(-2, 2, 0)
            = (-32, -16, -24) - (0, 0, 8)
            = (-32, -16, -32)

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Answer:

3π/4

Step-by-step explanation:

The correct statement is: E. All of the above are incorrect.

Statement A is incorrect because the basic standard deduction for 2021 is $12,550 for single filers, not $15,350.

Statement B is incorrect because the gross income threshold for filing a separate tax return (MFS) in 2021 is $5, as opposed to the basic standard deduction for MFS.

Statement C is incorrect because a non-refundable tax credit directly reduces the amount of tax owed, whereas a deduction for AGI reduces taxable income before calculating the tax liability. Therefore, a non-refundable tax credit is generally more valuable than a deduction for AGI.

Statement D is incorrect because a greater deduction from AGI does not necessarily lead to a greater deduction for AGI. Deductions from AGI reduce taxable income, while deductions for AGI are claimed before calculating AGI.

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Answer:

95 491/1000

Step-by-step explanation:

95.491 written as mixed number would look like: 95 491/1000

Answer:

Step-by-step explanation:

The the terms be x and y

The sum of the terms = x+y

Difference of terms = x-y

Product of the sun and differences will be expressed as:

(x-y)(x+y) = x²-xy+xy-y²

(x-y)(x+y) = x²-y²

Hence the product of the terms is equivalent to the difference of two squares of the terms

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

The resulting plane autonomous system has a single critical point at (x, y, z) = (0, 0, 0).

What is critical point.?

A critical point, in the context of calculus and optimization, refers to a point on a function or curve where its derivative is either zero or undefined. Mathematically, for a function f(x), a critical point occurs at x = c if f'(c) = 0 or if f'(c) is undefined.

To write the given nonlinear second-order differential equation as a plane autonomous system, we can introduce new variables to represent the derivatives of the original variable. Let's introduce two new variables:

y = x' (first derivative of x)

z = x'' (second derivative of x)

Now, we can express the given second-order differential equation in terms of these new variables:

z + y^2 + 2x = 0

Next, we can rewrite this equation as a system of first-order differential equations:

x' = y

y' = z

z' = -y^2 - 2x

This is now a plane autonomous system of first-order differential equations. To find the critical points of this system, we set the derivatives equal to zero:

y = 0

z = 0

-y^2 - 2x = 0

From the first equation, y = 0, we can see that for a critical point, y (or x') must be zero. Substituting y = 0 into the third equation gives:

2x = 0

x = 0

Therefore, the critical point of the system is (x, y, z) = (0, 0, 0).

In summary, the resulting plane autonomous system has a single critical point at (x, y, z) = (0, 0, 0).

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Answer:bl

7564w

Step-by-step explanation:

u9ytrfgufugugt4g7gf7rgfr47ufu4fjgccfffffeeeeeeeeeeeeeeeeeedftggfdfdcvbg vfrvf

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

The upper bound of the confidence interval is 0.52

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

Out of 500 couples in a given city, 238 couples had divorced in the past 20 years. As a result, the sample proportion is calculated as follows:

\(P=238/500 = 0.476\)

As a result, the following 95% confidence interval is calculated for the city's divorce rate: \(P +(Z_{a}*(\sqrt{\frac{P(1-P)}{y} } )\)

\(Z_{a}= 1.96\)

the upper bound of confidence interval = 0.0438 + 0.476

= 0.52

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Answer:

she cant

Step-by-step explanation:

Sarkis cannot draw a triangle with these side lengths. Therefore, option A is correct.

Given that, a triangle with sides measuring 4 ft, 10 ft, and 16 ft.

What are the conditions to construct a triangle?

In the triangle, the sum of any two sides is always greater than the third side. The difference between any two sides of the triangle is always less than the third side.

Sarkis cannot draw a triangle with these side lengths. Therefore, option A is correct.

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Répondre:  \(\frac{5x5}{24}\)

Commentez si vous voulez l'explication :D

The population of each country will become double in 47 years.

Given that,

The population of the Dominican republic is, n = 10.7 million.

The growth rate of the Dominican republic is, p = 1.5 %.

The population of Paraguay is, n' = 6.0 million.

The growth rate of Paraguay is p' = 1.5 %.

The doubling time of population growth depends on the rate of population growth.

Here,

n is the final population and n0 is the initial population and doubling the value in the future, n= 2*n0.

Solving this, we get:

t= ln (2*n0/n0)/(1.5/100) = 47 years.

Thus, we can conclude the population of each country will become double in 47 years.

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Answer:

5.5

Step-by-step explanation:

n-2÷7=2

n-3.5=2

n=2+3.5

n=5.5

Answer:

n = 16  ≅ 2.29

     7

Step-by-step explanation:

n - 2 ÷ 7 = 2

n - 2 = 14

n = 14 + 2

      7      7

n = 16

     7

Answer:

5^3 is the same thing as 5 x 5 x 5. It equals 125

Explanation: If we already had the angle all we would need to do is to calculate sin (angle) and find the value of 0.22 on the calculator. But once we do not have the angle and we just have the result all we need to do is to calculate the arcsin of the result to find the angle as follows

Final answer: So the final answer is the letter a. about 12.7°

Answer:

x = 3

Step-by-step explanation:

\( \sf{\dfrac{4}{60} = {\dfrac{1}{15}}} \)

True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.

The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.

To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.

First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.

Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:

⇒ Unit price = (Total cost)/(Weight of turkey in package),

⇒ Unit price = $9/1.25 pounds,

⇒ Unit price = $7.20 per pound,

Therefore, the unit price of turkey in the package is $7.20 per pound.

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The given question is incomplete, the complete question is

A store sells a 1(1/4) pound package of turkey for $9. ​What is the unit price of the turkey in the package?

The three statements are correct about any business organization is

a) The ultimate goal of a business is to make profits.

b) Customer loyalty has little impact on a business’s revenue.

c) Customer service adds to a business’s profitability in the long run.

What is Revenue?

Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.

Concept:

The process of identifying and grouping the work to be done, defining and allocating responsibility and authority, and building relationships in order to enable individuals to collaborate most effectively in order to achieve goals is known as organization.

The organizational process gives workers the ability to make choices that benefit their development. They are constantly prepared to take on new difficulties. This circumstance may support the growth of the company. This contributes to the enterprise's growth by enhancing its earning potential.

Over time, providing good customer service increases a company's profits.

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Answer:

80 Strawberries

Step-by-step explanation:

If she picked 120 strawberries in 6 hours

Then in 1hour she picked 120/6 = 20 strawberries

Then in 4 hours she picked 20×4 = 80 strawberries

One number is multiple times the principal number. The numbers are 93, 837 and 193.

Given, one number is multiple times a first number.

A third number is 100 a greater number of than the primary number.

The amount of the three numbers is 1123,

We really want to track down the numbers.

allow the principal second and third numbers to be a, b, c respectively

According to given information, b = 9a - - - - (1)

c = 100 + a - - - - (2)

a + b + c = 1123 - - - - - (3)

presently substitute (1) and (2) in (3)

a + 9a + 100 + a = 1123

11a + 100 = 1123

11a = 1123 - 100

11a = 1023

a = 93

presently substitute a value in (1) and (2)

b = 9 x 93 = 837

c = 100 + 93 = 193

thus, the numbers are 93, 837, 193.

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Answer:

Step-by-step explanation:

The algebraic identity to be used here :

We know that :

Therefore,

The zeros are :

Answer:

\(x=-\dfrac{9}{10} \quad x=\dfrac{9}{10}\)

Step-by-step explanation:

\(\begin{aligned}100x^2-81 & =(10^2)x^2-9^2\\ & = (10x)^2-9^2\end{aligned}\)

\(\textsf{Difference of Two Squares Formula}: \quad a^2-b^2=\left(a+b\right)\left(a-b\right)\)

\(\implies a=10x \: \textsf{ and } \: b=9\)

\(\implies 100x^2-81=(10x+9)(10x-9)\)

\(\begin{aligned}\textsf{To find the zeros}: \quad 100x^2-81 & = 0\\\\\implies (10x+9)(10x-9) & =0\\\implies 10x+9 & =0 \implies x=-\dfrac{9}{10}\\\implies 10x-9 & =0 \implies x=\dfrac{9}{10}\end{aligned}\)

Answer:

Pretty sure it'd be -99 feet below the Surface.

Step-by-step explanation:

If we call 85 the ground level since he stopped and will then dive down another 14,

85 - another 14 =

-99 Feet below the surface?

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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The associated standard score for this hypothesis test is 3.16. There is is evidence that more than 1/2 of the entire voting population would vote for the green party candidate for governor.

To determine whether the random sample of 1000 registered voters showing 550 votes for the Green Party candidate is evidence that more than half of the entire voting population would vote for the Green Party candidate, we will conduct a hypothesis test with the null hypothesis H0: p ≤ 0.5 and the alternative hypothesis Ha: p > 0.5. We will assume a Type I error rate of 0.05.

1: Calculate the sample proportion (p):

p = 550/1000 = 0.55

2: Calculate the standard error (SE):

SE = sqrt[(p * (1 - p))/n] = sqrt[(0.55 * 0.45)/1000] ≈ 0.0158

3: Calculate the z-score (standard score) for the hypothesis test:

z = (p - p₀) / SE = (0.55 - 0.5) / 0.0158 ≈ 3.16

4. From the p-value table, the p-value is 0.00078885

The associated p-value for this z-score is extremely small (less than 0.001), which means we can reject the null hypothesis H0: p ≤ 0.5 and conclude that there is evidence to support the alternative hypothesis Ha: p > 0.5.

The associated standard score is approximately 3.16. Therefore, this is evidence that more than 1/2 of the entire voting population would vote for the green party candidate.

Note: The question is incomplete. The complete question probably is: a newspaper took a random sample of 1000 registered voters and found that 550 would vote for the green party candidate for governor. Is this evidence that more than 1/2 of the entire voting population would vote for the green party candidate? to answer this question, you will have to test the hypothesis H0: p ≤ 0.5 versus Ha: p > 0.5. assume a type i error rate of 0.05. What is the associated standard score for this hypothesis test?

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