Ronald drank orange juice from a 500 ml bottle. He found that 2/5 was remaining. How much did he drink?​

Answer:

Step-by-step explanation:

not sure 2

Answer:

Step-by-step explanation:

5(2x+3) = 85

10x + 15 = 85

x = (85 - 15)/10

x = 7

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

A firm using two inputs, x and y, is using them in the most efficient manner when it is producing the maximum output with the given inputs or it is producing a given output with minimum input cost.

This is known as the concept of efficiency or optimization in economics.

Mathematically, if the firm is maximizing its output subject to a given cost constraint, the optimization problem can be stated as follows:

Maximize f(x, y)

Subject to: p_x*x + p_y*y <= C

Where f(x, y) is the production function representing the output produced with inputs x and y, p_x and p_y are the prices of the inputs, and C is the total cost available to the firm.

Similarly, if the firm is minimizing its input cost subject to a given level of output, the optimization problem can be stated as:

Minimize C = p_x*x + p_y*y

Subject to: f(x, y) = Y

Where Y is the desired level of output, and C is the cost of the inputs x and y.

The solutions to these optimization problems give the efficient or optimal input combination for the firm, which can be used to produce the maximum output or achieve the given output level at minimum cost.

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Answer: C / .33

Step-by-step explanation:

Answer:12

Step-by-step explanation:

Answer:

hm? is there any picture that they gave you or no?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

a parameter is a number describing a whole population (e.g., population mean), while a (sample) statistic is a number describing a sample (e.g., sample mean).

so, everything involving all 700,000 people creates parameters.

therefore, C is correct.

Answer:

 a) cannot tell

  b) congruent

  c) not congruent

Step-by-step explanation:

You want to know if the triangles in the given figures are congruent.

In order to prove congruence, we must have information to establish one of SSS, SAS, ASA, AAS congruence.

Congruence only of corresponding angles demonstrates the triangles are similar, which means they may or may not be congruent.

These triangles have congruent corresponding angles, so are similar. It is impossible to tell if they are congruent.

These triangles meet the conditions for demonstrating AAS congruence. The triangles are congruent.

Looking at the figure from an AAS or ASA or SAS point of view, the corresponding sides are not congruent, but the corresponding angles are. These triangles are similar, but are not congruent.

__

Additional comment

In the triangles of (c), for the given long side, the short side shown will be 25.73 in the larger triangle and 16.73 in the smaller one. That is, the angles indicate the triangles should be similar, but the given side ratios are not proportional.

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Answer:

35%

Step-by-step explanation:

40%+25%=65%

100%-65%=35%

The time it will take for the sink to fill with just the hot water faucet open is 21.11 minutes.

Given that :

A sink has two faucets: one for hot water and one for cold water.

Time taken to be filled with just the cold water faucet = 5.4 minutes

Time taken to be filled with both faucets = 4.2 minutes

let x be the time taken to fill with just the hot faucet open.

Rate at which hot water fills the sink = 1/x

Rate at which the cold water fills the sink = 1/5.4

Rate at which both fills the tank = 1/4.3

This can be written as :

1/x + 1/5.4 = 1/4.3

(5.4 + x ) / 5.4x = 1/4.3

Cross multiply.

4.3(5.4 + x) = 5.4x

1.1x = 23.22

x = 21.11

Hence the time taken to fill the sink with just hot water open is 21.11 minutes.

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There are 48 triangles with all three vertices in the interior of the circle are created. Given, there are eight points on a circle. The chords are drawn connecting every pair of points. No three chords intersect in a single point inside the circle.

To find the number of triangles with all three vertices in the interior of the circle are created.The number of ways to choose 3 points out of 8 is 8C3 = 56.

However, we need to subtract the number of triangles with all three vertices on the chords of the circle.There are 8 chords.

The number of ways to choose 3 points on a particular chord is 1. Therefore, the number of ways to choose 3 points on any of the 8 chords is 8.

the number of triangles with all three vertices in the interior of the circle are created is given by:

56 - 8=48

Therefore, there are 48 triangles with all three vertices in the interior of the circle are created.

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The formula E3 + E4 can b expressed in the form of absolute cell address, that is option (a) $E$3+$E$4

The given formula is

E3 + E4

In the absolute cell address the coordinates of the column and row will be constant while copying a formula from one cell to the other. Here we use the dollar sign "$" before the coordinates of the column and row to correct them.

The given formula is E3 + E4

The E is the name and 3 and 4 are the coordinates of the column and row

The absolute cell address =  $E$3+$E$4

Therefore, the absolute cell address of the given formula is $E$3+$E$4

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Answer:

A noun is most commonly taught a person, place, or thing and sometimes idea. In this sentence, it would be Magazine, Americans, and carbohydrates. And if smith is also part of the sentence, he is a person, so its also a noun. :) Happy learning friend

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

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Answer:

The answer is choice B

Step-by-step explanation:

So basically what's going on is that to be a function, the ordered pairs must not have the same x values. With that, it is pretty obvious choice B is correct. Please give brainliest would appreciae thanks!

Answer:

Option B

Step-by-step explanation:

As per definition of function

A relation is called to be a function if every domain of the relation has an unique range

or

where x is domain and y is range

Here

Hence it's a function

a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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Format:

{Expression} = {Rewritten} = {Value}

Answer:

3/8 * 24 = 72/8 = 9

5/9 * 18 = 90/9 = 10

11/12 * 36 = 396/12 = 33

An equilateral △ABC with a side length of 2 cm is placed on top of a square BCDE to form a pentagon. A circle is drawn including points A, D, and E. And the radius of this circle is found to be 2 cm.

A triangle is said to be equilateral if all three of its sides are the same length and each of its three angles measures 60 degrees.

The given triangle is equilateral with a side length of 2cm. This triangle is on the top of a square BCDE. The circle circumscribes through the A, D, and E of the given shapes.

Using the given details, first, draw the diagram. Let H is the circumcenter of ADE. In the diagram, draw the altitude of AG passing through the circumcenter and square as GF.

From the diagram, let GH be x.  The side of the triangle is 2 cm and the altitude cut it into two equal halves. Then, BG=EF=1 cm, HF=2-x, and HE=x+√3

\(\begin{aligned}\sin \theta &= \frac{AG}{AB}\\\sin 60^{\textdegree} &=\frac{AG}{2}\\\frac{\sqrt{3}}{2}&=\frac{AG}{2}\\AG&=\sqrt{3}\end{aligned}\)

By Pythagoras' theorem, from ΔHEF,

\(\begin{aligned}HE^{2}&=HF^{2}+EF^{2}\\\left(x+\sqrt{3}\right)^2&=(2-x)^2+1^2\\x^2+3+2\sqrt{3}x&=4-4x+x^2+1\\(4+2\sqrt{3})x&=5-2\\x&=\frac{2}{4+2\sqrt{3}}\\&=\frac{2}{2(2+\sqrt{3})}\times\frac{2-\sqrt{3}}{2-\sqrt{3}}\\&=\frac{2-\sqrt{3}}{4-3}\\&=2-\sqrt{3}\end{alinged}\)

The radius of the circle (HE) is 2-√3+√3=2.

The answer is 2 cm.  Therefore, option C is correct.

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Answer:

A

Step-by-step explanation:

According to the information, we can infer that it is important for people in the foodservice industry to be knowledgeable about different cultures and religious diets because it allows them to cater to a diverse range of customers and respect their dietary needs and preferences.

It is important for people in the foodservice industry to be knowledgeable about different cultures and religious diets to cater to diverse customer needs, promote inclusivity, enhance the dining experience, and ensure food safety standards.

Additionally, understanding and respecting dietary restrictions and cultural preferences, foodservice professionals can accommodate specific dietary needs, offer authentic dishes, attract a wider customer base, and maintain high-quality standards in their establishments.

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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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Answer: 32.75

Step-by-step explanation:

So you can break this trapezoid into two parts: a square and a triangle. the square has an area of 25 square feet. For the triangle, we can just use 3.1 (the base) * 5 (the height)/2 because the triangle is just a half of a rectangle, so we can just treat it as a normal rectangle, but them divide by two at the end. so 3.1*5/2 = 7.75 square feet, and 25 + 7.75 square feet = 32.75 square feet

Answer:

f(4)=-50---g(6)=-26

Step-by-step explanation:

4^2=16

16 times -3=-48

-48-2=-50

6 times -5=-30

-30 plus 4=-26

The area and perimeter of the triangle to the nearest tenth is 284.0 ft² and 101.8 ft  respectively.

Given the triangle in the question:

Let angle C = 115 degree

Side c = 50 ft

Side a = 15 ft

side b = ?

Angle A = ?

Angle B = ?

First, we solve for angle A:

A = arcsin( (a × sinC) / c )

Plug in the values

A = arcsin( (15 × sin115) / 50 )

A = arcsin( 0.271892 )

A = 15.8 degrees

Next solve for angle B:

B + 15.8 + 115 = 180

B = 180 - 130.8

B = 49.2

Lets solve for side b:

b = ( c × sinB ) / sinC

Plug in the values:

b = ( 50 × sin49.2 ) / sin115

b = 41.8

Now, we can determine the area using the formula:

Area = 1/2 × a × b × sinC

Plug in the values:

Area = 1/2 × 15 × 41.8 × sin( 115 )

Area = 284.0 ft²

Perimeter will be:

P = a + b + c

P = 10 + 41.8 + 50

p = 101.8 ft

Therefore, the perimeter is 101.8 ft.

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The null hypothesis (H0) proposed by the friend is H0: p^ = 0.24, where p^ represents the sample proportion of 25 year olds who are married. The alternative hypothesis (Ha) is Hα: p^ ≠ 0.24.

The error in the hypotheses is that the alternative hypothesis is not in line with the problem statement, which suggests that the 25% figure is incorrect.

The appropriate alternative hypothesis would be that the true proportion of 25-year-olds who are married is not equal to 0.25. Therefore, the correct alternative hypothesis would be Ha: p^ ≠ 0.25.

In summary, the correct set of hypotheses for this problem would be:

H0: p^ = 0.25 (Null hypothesis)

Ha: p^ ≠ 0.25 (Alternative hypothesis)

We would use a significance level and statistical test to determine whether we have enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

Step-by-step explanation:

uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95

The larger the negative number, the lower the value the number actually is.

Answer: b. -1.95, -1.895, -1

Answer:

92.625

Step-by-step explanation:

= 14.25 * 6.50

= \(\frac{1425}{100}\) * \(\frac{650}{100}\)

= \(\frac{57}4}\) * \(\frac{13}{2}\)

= \(\frac{741}{8}\)

= 92.625

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Answer:

x intercept-25; y intercept is 15