5 liters=______ hectoliter?
Help?

Answer:

I am not sure if I am right, but in my opinion, it is a valid sample, since they are participating and getting paid, so I would personally go for the third option, but the decision is on you.

Answer:

125×20=2,500ml de agua en 20 dias.

To determine the fractional scale of the map, we need to compare the distance on the map to the corresponding actual distance.

Given that 5 inches on the map represents 5 miles, we can express this as the ratio:

5 inches / 5 miles

To convert this ratio to a fractional scale, we need to express the units in the same terms. Since both inches and miles are units of length, we can simplify the ratio:

1 inch / 1 mile

Therefore, the fractional scale of the map is 1/1, which can also be written as 1:1. This means that one unit of distance on the map represents one unit of actual distance.

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Answer:

6/64

Step-by-step explanation:

there's 3 blues and 2 yellows, with 8 total segments.

3/8x2/8=6/64

The minimum value of the given equation is 5.

The minimum value of the expression x² + y² - 6x + 4y + 18 for real x and y can be found using the method of completing the square.

To find the minimum value of x² + y² - 6x + 4y + 18, we need to convert the expression to the standard form of a quadratic expression.

First, let's collect the like terms: x² - 6x + y² + 4y + 18

Now, let's complete the square for the x terms: x² - 6x = (x - 3)² - 9

And, let's complete the square for the y terms: y² + 4y = (y + 2)² - 4

Now, let's substitute these back into the original expression:x² + y² - 6x + 4y + 18 = (x - 3)² - 9 + (y + 2)² - 4 + 18= (x - 3)² + (y + 2)² + 5

Now, we can see that the minimum value of this expression is 5, which is obtained when (x - 3)² = 0 and (y + 2)² = 0, i.e., when x = 3 and y = -2. Therefore, the minimum value of the expression is 5.

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Answer:

1) 8x - 24 = 24

2) 8x - 24 + 24 = 24 + 24

3) 8x = 48

4) x = 6

Step-by-step explanation:

Bolded are the answer choices:

4(2x - 6) = 24

First, distribute 4 to all terms within the parenthesis:

4(2x - 6) = 24

(4 * 2x) - (4 * 6)

(8x) - (24) = 24

8x - 24 = 24.

Next, add 24 to both sides of the equations:

8x - 24 (+24) = 24 (+24)

8x = 24 + 24

8x = 48

8x - 24 + 24 = 24 + 24

Then, divide 8 from both sides of the equation:

(8x)/8 = (48)/8

x = 48/8 = 6

8x = 48

x = 6

~

Travelling towards each other, if the cars meet in 2 hours, the rate of the slower car is 86 km/hr.

Let the speed of the slower car is x

The speed of the faster car is 18 kilometer more than slower car, that is x+18.

The time taken by both the cars is 2 hours.

The distance covered by both the cars is 380 kilometers.

speed= distance/time

distance= speed*time

2x+2(x+18)=380

2x+2x+36=380

4x+36=380

4x=344

x=344/4

x=86

The speed of the faster car is

x+18=86+18

=104

The speed of the faster car is 104 km/hr

Therefore, the speed of the slower car is 86 km/hr.

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Let's denote the rate of the slower car as "x" kilometers per hour. Since the rate of the faster car is 18 kilometers per hour greater, we can represent it as "x + 18" kilometers per hour.

We know that the two cars are traveling towards each other and will meet in 2 hr. Therefore, the total distance covered by both cars will be the sum of their distances traveled.The slower car travels at a rate of "x"km/hr for 2 hr,covering a distance of 2x km.The faster car travels at a rate of "x + 18"km/hr for 2 hours, covering a distance of 2(x+18)km.

The total distance covered by both cars is the sum of these distances, which should be equal to the total distance of 380 kilometers:

2x + 2(x + 18) = 380

Now we can solve this equation to find the rate of the slower car:

2x + 2x + 36 = 380

4x + 36 = 380

4x = 380 - 36

4x = 344

x = 344 / 4

x ≈ 86

Therefore, the rate of the slower car is approximately 86 kilometers per hour.

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The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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Answer:

Pls do find the given attachment

To find out if the system has a single solution, we have to check wheter its equations are not equivalent to one another and no equation contraticds the others.

If these are some cases, we will find out while we answer, because you will either find an equation that the variable can have any number or we will get to an equation that is wrong for any value of the variable.

To find the solution, we will have to reduce the system to two variable and then to one variable.

To do this, we can pick a variable to get rid of and pair equations so we can achieve this.

Let's get rid of variable y by elimination.

Firstly, we can see that the first equations can by simplifies by dividing it by 3:

Now, since we want to eliminate y, we need to match its coefficient with another equation, but with opposite sign.

The second equation has a coefficient of -2 on y, so if we multiply the first simplified equation by -2, we will get:

Now, we can add this equation with the second:

Now, we will do similarly but with the last equation. The coefficient of y on it is -4, so we multiply the first simplified equation by (-4):

And add the third equation to it:

Notice that we can change the sign of all terms on this equation:

Now, we have two equations and two variable:

However, notice that the left side of the equations are equivalent, because if we multiply the first equation by two, we will get the pair:

So, the left side is equivalent, but the right sides are different, this means that one equation contradicts the other, That is, there is no possible pair of x and z so that these equations are both true.

This means that there is no solution to this system of equations.

the given functions represent transfer functions of two systems in a control system, and they can be analyzed using various tools in the Laplace domain to determine their behavior and characteristics.

The given functions represent the transfer functions of two systems in a control system. The first transfer function, g(s), has two poles at s=1 and one pole at s=10. The poles at s=1 are repeated twice, indicating that this is a second-order system. The second transfer function, h(s), is a constant function with a value of 1.

To analyze the behavior of these systems, we can use tools such as the Laplace transform, which allows us to convert differential equations into algebraic equations that are easier to solve. The Laplace transform of g(s) can be written as G(s) = 1/(s+1)^2(s+10), and the Laplace transform of h(s) is H(s) = 1.

Once we have the transfer functions in the Laplace domain, we can use them to compute various system parameters such as the frequency response, step response, and stability. For example, the frequency response of a system is given by the magnitude and phase of the transfer function evaluated at different frequencies. The step response of a system is the output of the system when a unit step input is applied, and it can be computed using the inverse Laplace transform.

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A system is shown below where g(s) = 1/(s 1)^2(s 10) and h(s) = 1. Find the closed loop transfer function.

Answer:

x-intercept: (38/7,0) y-intercept: (0,-38)

Step-by-step explanation:

I think

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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Answer:

Step-by-step explanation:

The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.

In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.

The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).

The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.

The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.

The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.

To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.

[asy]

unit size(1cm);

real p = 1.5;

pair F, V;

F = (1,-2+p);

V = (1,-2);

draw((-2,0)--(4,0));

draw((0,-4)--(0,4));

draw((-2,V.y)--(4,V.y),dashed);

draw((F.x,p)--(F.x,-4),dashed);

label("$x$", (4,0), E);

label("$y$", (0,4), N);

label("$y = (x - 1)^2 - 2$", (4,-3), E);

a dot("$F$", F, NW);

a dot("$V$", V, S);

label

The Adding and Subtracting Rational Expression Calculator is a free online tool that displays the results of rational number arithmetic operations.

A rational expression is nothing more than the product of two polynomials. In other words, it is a fraction with polynomial numerator and denominator. Rational expressions resemble fractions with variable denominators (and often numerators too).

Adding or subtracting rational expressions involves four steps: All fractions must be written as equivalent fractions with a common denominator. Combine the fractions to form a single fraction with a common denominator. Reduce the complexity of the expression at the top of the fraction. Reduce the fraction to its simplest terms.

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In the translation of the line segment to the pre-image only implies the change of position, but the slope never changes in translation.

Given that,
To write a true statement about the relationship between the line segments and angle measures when a translation is applied to a preimage.

The line is a curve showing the shortest distance between 2 points.

The angle can be defined as the one line inclined over another line.

Here,
The translation is a process, in which the same figure with the same orientation shifted its position which does not affect the orientation or size to the preimage,

Thus, in the translation of the line segment to the pre-image only implies the change of position, but the slope never changes in translation.

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Answer:

A

Step-by-step explanation:

Sarah because the middle point (median) is less than the middle of the bar

The 95% confidence interval for the average number of units that students in their college are enrolled in is (11.46,12.53)

We are given the number of students, n =  46, and  the mean of the sample which is x= 12.5, and the standard deviation of the sample which is s= 1.8 , the formula  we are referring to for calculating the confidence interval which is :

x ± t (s/√(n))

since for  this case, the degree of freedom is one less than the mean, which is 45, the critical value for the confidence of 95% with  the degree of freedom of 45 is 2.015

x + t(s/√(n)) = 12.5 +2.015*(1.8/6.78)=  12.53

x - t(s/√(n))= 12.5 -2.015*(1.8/6.78)= 11.46

The interval is (11.46,12.53)

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1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Given:

The exponents.

To find:

The factorizations of the exponents and their values.

Solution:

We know that,

\(a^n=a\times a\times a\times ...\times a(n-times)\)

Using this rule, we get the factorizations of the given exponents and their values.

\(2^3=2\times 2\times 2=8\)

\(3^2=3\times 3=9\)

\(6^2=6\times 6=36\)

\(4^3=4\times 4\times 4=64\)

\(7^3=7\times 7\times 7=343\)

\(8^2=8\times 8=64\)

\(3^4=3\times 3\times 3\times 3=81\)

\(7^2=7\times 7=49\)

\(6^3=6\times 6\times 6=216\)

\(9^2=9\times 9=81\)

Answer:

what kind of question is that lol

Answer:

11=x

Step-by-step explanation:

since the lines are parallel the distances between each section of line is proportional to each other.

5/6=(x-1)/12

multiply both sides by 12

12(5/6)=(x-1)12/12

10=(x-1)

add 1 to both sides

10+1=x-1+1

11=x

I hope that helps :)

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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The radius of the circle with a circumference of 15 ft is approximately

7.5 ft.

We have,

The circumference of a circle is the distance around its boundary. It is calculated by multiplying the diameter of the circle by π (pi), which is approximately 3.14159.

The formula for the circumference of a circle is:

Circumference = 2 π radius

To find the radius of a circle, we can rearrange the formula and solve for the radius:

Radius = Circumference / (2 π)

In this case, the given circumference is 15 ft.

Plugging this value into the formula:

Radius = 15 ft / (2 π)

Simplifying further:

Radius ≈ 7.5 ft

Therefore,

The radius of the circle with a circumference of 15 ft is approximately

7.5 ft.

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Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given:

\(s_1 = 21 \ \ t_1 = 1\\\\s_2 = 59 \ \ t_2 = 2\\\\s_3 = 141 \ \ t_3 = 4\)

All points are on the graph including its quadratic function, in order to install their coordinates to values of x and y with the following values:

\(y= ax^2 + bx + c\\\\21=a+b+c\)      Inserting the coordinates of the first point

\(y= ax^2 + bx + c\\\\59 =4a+2b+c\)              Inserting the coordinates of the second point

\(y= ax^2 + bx + c\\\\141=16a+4b+c\)       Inserting the coordinates of the third point

Answer:

Sum of their present ages  = 20 years

Step-by-step explanation:

Present age :

   Neha's age = x years

Reemas' age = x - 4

After 5 years:

       Neha's age = (x +5) years

       Reemas' age = (x - 4 + 5 ) = x + 1

Sum of the ages of Reema and Neha will be 30

Therefore,    

x + 5  + x + 1 = 30

x + x + 5 + 1 = 30

   2x +  6    = 30

            2x = 30 - 6

           2x = 24

             x = 24/2

            x = 12

Neha's age = 12 years

Reema's age = 12 - 4 = 8 years

Sum of their present ages = 12 + 8 = 20 years

The vectors is perpendicular to (-4,2) will be (b) (-1,-2)

The dot product of two vectors is found by multiplying the corresponding components of the vectors and adding the results. which is, if the two vectors are (a, b) and (c, d), their dot product is ac + bd.

To calculate the dot product of (-4, 2) with each of the given vectors:

a) (-3.6):

(-4)(-3.6) + (2)(-3.6) = 14.4 - 7.2 = 7.2

b) (-1, -2):

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

c) (2, -3):

(-4)(2) + (2)(-3) = -8 - 6 = -14

d) (4, -8):

(-4)(4) + (2)(-8) = -16 - 16 = -32

Therefore, the vector that is perpendicular to (-4, 2) is option (b) (-1,-2).

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