the # of trees and the number of apples are given determine which statement is right?

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

1.6

Step-by-step explanation:

Answer:

a ruler would be the best tool to measue in a classroom i.

Step-by-step explanation:

Answer:

A:B= 1:3

let A=1x,B=3x

A+B = x+3x

x+3x = 40

4x = 40

x=10

A=1(10)=10

B=3(10)=30

Step-by-step explanation:

Dont really know how to explain it well

Answer:

666

Step-by-step explanation:

Answer:

your answer is 665+1=666

hope this helps you

have a great day (◍•ᴗ•◍)

Answer:

neither

Step-by-step explanation:

using (y2-y1)/(x2-x1) you get the actual slopes which are JK = 3/2 and LM = -3/2

since they are neither the same (parallel), opposite reciprocals (perpendicular), they are neither parallel nor perpendicular

Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

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

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

Given that there exist undefinable restrictions, the domain for the function f(x)=23x + 4 is (-∞,∞).

In mathematics, a function is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Four main categories may be used to classify different sorts of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

Here,

f(x)=−23x+4

as there are undefined constraints,

domain=(-∞,∞)

The domain for function f(x)=−23x + 4 is (-∞,∞) as there are undefined constraints.

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Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

We will see that the equation has only one solution, so the correct option is B.

For an equation of the form:

p(x) = C

Where p(x) is an expression that depends on x, and C is a constant.

The solutions are all the values of x that make the equality true.

For our case, we have:

x = -5

Notice that there is only one value of x that makes the equality true, if we replace x by -5 we get:

-5 = -5

So that is the only solution for the equation, then we conclude that the equation has only one solution, and the correct option is B.

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The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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Answer:

D. 41°

Step-by-step explanation:

\((3x + 9) \degree = 132 \degree \\ (vertical \: \angle s) \\ 3x + 9 = 132 \\ 3x = 132 - 9 \\ 3x = 123 \\ x = \frac{123}{3} \\ x = 41 \\ \\ \because m\angle QRS =x\degree \\\therefore m\angle QRS = 41\degree \)

The bias of the estimator is 1/45, so correct option is A.

In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, expressed as a fraction or a division of one quantity by another.

For example, the proportion "a/b = c/d" means that the ratio of a to b is equal to the ratio of c to d. This can also be written as "a : b = c : d", where the colon (:) represents the ratio symbol.

Proportions can be used to solve a variety of problems, such as finding unknown quantities in a ratio or comparing quantities that have different units. For instance, if a recipe calls for 2 cups of flour for every 3 cups of water, we can use proportions to determine how much flour and water we need if we want to make a larger or smaller batch.

The estimator for the true proportion of residents in support of the bypass road construction is given by:

p = (X + √2025/2) / 2025

We can see that this estimator involves adding √2025/2 to X, and then dividing the sum by 2025. Since √2025 = 45, we can simplify the estimator as:

p = (X + 45/2) / 2025

Now, we can find the expected value of the estimator:

E[p] = E[(X + 45/2) / 2025]

= (E[X] + 45/2) / 2025

To find the bias of the estimator, we need to compare its expected value to the true value of the parameter being estimated. Since we are estimating the proportion of residents in support of the bypass road construction, the true value of the parameter is the population proportion, denoted by p.

If the estimator is unbiased, then its expected value must equal the true value of the parameter, i.e., E[p] = p. Therefore, we have:

E[p] = (E[X] + 45/2) / 2025 = p

Solving for E[X], we get:

E[X] = 2025p - 45/2

Thus, the bias of the estimator is:

Bias[p] = E[p] - p

= (E[X] + 45/2) / 2025 - p

= [(2025p - 45/2) + 45/2] / 2025 - p

= (2025p - p) / 2025

= 44/2 x 2025

= 1/45

Therefore, the bias of the estimator is 1/45. Answer: A.

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The bias of the estimator is 1/45. The appropriate choise for the posed query is option (a).

In mathematics, a proportion is the assertion that both ratios are equal. A ratio is the division of one quantity by another or the comparison of two quantities given as a fraction.

The ratio "a/b = c/d," for instance, denotes that the ratio of a to b is equivalent to the ratio of c to d. This can also be expressed as "a: b = c: d," where the ratio sign is denoted by the colon (:).

Numerous issues can be resolved using proportions, like comparing amounts with various units or locating unknown values in a ratio. For instance, we may use proportions to calculate the amount of flour and water needed to make a larger or smaller batch of a recipe if it calls for 2 cups of flour and 3 cups of water.

The estimator for the actual percentage of residents in favour of building the bypass route is provided by:

p = (X + √2025/2) / 2025

As we can see, this estimator multiplies X by 2025/2 before dividing the result by 2025.

Since √2025 = 45, The estimator may be distilled down to:

p = (X + 45/2) / 2025

We can now determine the estimator's expected value:

E[p] = E[(X + 45/2) / 2025]

= (E[X] + 45/2) / 2025

We must contrast the estimator's expected value with the actual value of the parameter being estimated in order to determine its bias. The population proportion, given by p, is the genuine value of the parameter because we are calculating the percentage of residents who support the construction of the bypass route.

If the estimator is impartial, then its predicted value must match the parameter's true value, or E[p] = p. As a result, we have:

E[p] = (E[X] + 45/2) / 2025 = p

Solving for E[X], we get:

E[X] = 2025p - 45/2

As a result, the estimator's bias is:

Bias[p] = E[p] - p

= (E[X] + 45/2) / 2025 - p

= [(2025p - 45/2) + 45/2] / 2025 - p

= (2025p - p) / 2025

= 44/2 x 2025

= 1/45

As a result, the estimator's bias is 1/45. Answer: A.

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\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Congruency.

Q-4 answer is SAS, since alternate angles are equal.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4 * 2 = 8

4 * 3 = 12

4 * 4 = 16

Answer:

b=7 & c=7√2

Step-by-step explanation:

b=7 as it is an isosceles triangle

now using Pythagoras theorem,

(c)^2= (7)^2+(7)^2

⇒(c)^2= 49+49

⇒(c)^2= 98

⇒c= √98

⇒c=7√2

Answer:

Step-by-step explanation:

You want the missing side lengths in an isosceles right triangle with one side given as 7.

The two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:

  b = 7

The hypotenuse of an isosceles right triangle is √2 times the side length:

  c = 7√2

__

Additional comment

You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.

  c² = 7² + b²

  c² = 7² +7² = 2·7²

  c = √(2·7²) = 7√2

The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.

The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.

The solution of the expression is x=0 and it is the only solution that is an integer.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.

To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.

Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:

=> x=5x−x³

Expanding this equation, we get

=> 4x³+x=0.

Factoring this equation, we get

=> x(4x²+1)=0.

This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.

Complete Question:

Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.

y = x,

y = 5x−x³

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Answer: ALJK

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Scale factor back to original size = 1/7

        7x and 7 years.

This means the original size will be;

Length = 7x × 1/7

Width = 7y × 1/7

Hence, the scale factor will be 1/7 back to the original size.

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Answer:

If you mean kiloliters it is 21134 cups if you're rounding up if not it is 21133.76 US cups

Step-by-step explanation:

Answer:  Number 1: = and Number 2: is C

Step-by-step explanation:

Answer:

6. >

7. 5/6, 2/3, 8/15

Step-by-step explanation:

For 6, you need to make the denominators equal, so you need to multiply 6/3*5 making it 30/15. Now which is greater 30/15 or 10/15 and you can see it's 30/15 so it would be >. For 7 you need to do the same thing but make all three denominators the same. 2/3 becomes 20/30 by multiplying by 10. 5/6 becomes 25/30 by multiplying by 5. Lastly, 8/15 becomes 16/30 by multiplying by 2. Now all their denominators are the same, so now all you have to do is order them. 25/30, 20/30, and 16/30. This is equal to 5/6, 2/3, 8/15.

Answer:

Step-by-step explanation:

1.

\(\displaystyle\\\frac{1}{5}x+15=-5 \\\\\frac{1}{5}x+15-15=-5-15\\\\\frac{1}{5}x=-20\)

Multiply both parts of the equation by 5:

\(x=-100\)

2.

\(4-3x=5\\\\4-3x-4=5-4\\\\-3x=1\)

Divide both parts of the equation by (-3):

\(\displaystyle\\x=-\frac{1}{3}\)

3.

\((3x)^0+(8x+70)^0=180^0\\\\(3x)^0+(8x)^0+70^0=180^0\\\\(11x)^0+70^0-70^0=180^0-70^0\\\\(11x)^0=110^0\)

Divide both parts of the equation by 11:

\(x=10\)

\(m\angle TRS=(8(10)+70)^0\\\\m\angle TRS=(80+70)^0\\\\m\angle TRS=150^0\)

4.

\(\$ 25(5)+\$250=\\\\\$125+\$250=\\\\\$375\)

5.

\(\displaystyle\\\frac{x}{15}=\frac{30}{18}\)

Multiply both parts of the equation by 15:

\(\displaystyle\\x=\frac{30(15)}{18} \\\\x=\frac{450}{18}\\\\x=25\)

Answer:

y - 2.5 = 2(x - 1)

Step-by-step explanation:

Here given slope is 2 and the point through which the straight line passes is (1, 2.5)

Let the equation be y = mx + c where m and c represent slope and y intercept respectively.

We know the slope, so we input that in our equation

y = 2x + c ------- i

This straight line also passes through (1, 2.5)

Putting the values in place of x and y we get,

2.5 = (2X1) + c

⇒ 2.5 = 2 + c

⇒ c = 2.5 - 2

⇒ c = 0.5

Now, putting value of c in i, we get

y = 2x + 0.5 -------- ii

It can also be written as y - 2.5 = 2(x - 1) ------- iii

this equation and ii are same and you can verify that by simplifying iii, by multiplying 2 and then shifting the -2.5 from LHS to RHS

Answer:

it will take 100,000 more days.

you can do this by dividing 10 and 1,000,000

There are 50 oranges did Molly pick.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Higher Order Thinking Molly and five friends picked a total of 300 oranges.

Now,

Since, Number of oranges = 300

And, Number of persons = 6

Hence, Number of oranges picked by each person = 300 / 6

                                                                                = 50

Thus, There are 50 oranges did Molly pick.

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Answer:

g = 118°

k = 98°

h = 62°

m = 82°

Step-by-step explanation:

g = 118° (opposite angles)

k = 98° (opposite angles)

h + 118° = 180°

h = 180° - 118°

h = 62°//

m + 98° = 180°

m = 180° - 98°

m = 82°//

Answer:

The first part is 5

The maximum it can be is 200

Step-by-step explanation:

Because I said So

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

⇒ y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

⇒ 2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - \(\frac{60}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - \(\frac{2^{2} *3*5}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

⇒ y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

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