En un corral las gallinas han puesto 336 huevos ¿Cuántas docenas son?

The solutions to the original equation are x = ±sqrt(10) or x = ±1.

What is quadratic expression ?
A quadratic expression is a polynomial expression of degree two, meaning that it contains one or more terms in which the variable is raised to the second power (or squared). The general form of a quadratic expression is:

ax^2 + bx + c

Explanation:
The given equation, x^4 - 11x^2 + 10 = 0, is a quadratic equation in terms of x^2.This can simplify the equation and make it easier to solve.

Let's make the substitution u = x^2. Then, the equation becomes:

u^2 - 11u + 10 = 0

This is a standard quadratic equation, which can be solved using the quadratic formula:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = -11, and c = 10. Substituting these values into the formula, we get:

u = (11 ± sqrt(121 - 40)) / 2

u = (11 ± sqrt(81)) / 2

u = (11 ± 9) / 2

u = 10 or 1

Now, we substitute back u = x^2 to get:

x^2 = 10 or x^2 = 1

Taking the square root of both sides, we get:

x = ±sqrt(10) or x = ±1

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There cannot be a point P on altitude BD that is equidistant from A and C, as this would mean that the two smaller triangles are congruent. This is because the altitude BD divides the triangle into two smaller triangles, ABD and CBD. If AB is unequal to BC, then these two smaller triangles cannot be congruent.

To prove this, let's assume that there is a point P on altitude BD that is equidistant from A and C. This would mean that AP = CP. However, since AB is unequal to BC, we know that AD is not equal to DC. Therefore, the triangles ABD and CBD are not congruent, and there cannot be a point P on altitude BD that is equidistant from A and C.

In conclusion, if AB is unequal to BC, then there does not exist a point P on altitude BD that is equidistant from A and C. This is because the altitude BD divides the triangle into two smaller triangles that cannot be congruent if AB is unequal to BC.

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Answer: You only need to write the formula then rewrite it then multiply then add and then you divive by 2

Step-by-step explanation: it is the top of the shape which is 10cm2

False. The Six Sigma DMAIC approach is one of many problem-solving methods that can be used, and is most appropriate when the problem is complex and the potential solutions are not immediately evident.

Six Sigma DMAIC (define, measure, analyze, improve, control) is a strategy used to improve processes and products. It is designed to help companies identify and eliminate defects and reduce variability in their processes. It is not the best way to attack all problems, as there are many other problem-solving methods, such as Design Thinking and Lean, that may be more suitable solution depending on the complexity of the problem.

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more information needed.

In total he walked 6.3 kilometers, from the information you gave.

There are about 6 "basic" types but there could be more

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

Quadrilateral Types:

Answer:

26 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

26 3/3 - 2/3 = 26 1/3

The congruence theorems and postulates that could be given as reasons why JKL=QRS are

HL is the hypotenuse-leg theorem.  It states that if the hypotenuse and leg of one triangle are congruent to the hypotenuse and corresponding leg of another triangle, the triangles are congruent.  We have that both legs of the triangles are congruent as well as the hypotenuse, so the HL theorem applies.

LL is the leg-leg theorem.  It states that if both legs of one right triangle are congruent to both legs of the second triangle, the triangles are congruent.  We have that both legs are congruent; this is the LL theorem.

SSS is the side-side-side theorem. It states that if all three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.  All three sides of both triangles are congruent, so this is the SSS theorem.

SAS is the side-angle-side theorem.  It states that if two sides and an included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, then the triangles are congruent.  We have JL≅QS, ∠L≅∠S and LK≅SR.  This is the SAS theorem.

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After all these transformations, point A' will lie on the left side of the y-axis with the same y-coordinate as A, and point A''' will lie on the right side of the y-axis with the same x-coordinate as A.

What is parallelogram ?

A parallelogram is a quadrilateral with two pairs of parallel sides.

If parallelogram ABCD is reflected over the y-axis, all the x-coordinates of the vertices will change sign while the y-coordinates remain the same. This means that A will be reflected to a point A' on the left side of the y-axis with the same y-coordinate as A.

If the reflected parallelogram is then reflected over the x-axis, all the y-coordinates of the vertices will change sign while the x-coordinates remain the same. This means that A' will be reflected to a point A'' below the x-axis with the same x-coordinate as A'.

Finally, if the reflected and flipped parallelogram is rotated 180 degrees, all points will be reflected over the origin. This means that A'' will be reflected to a point A''' on the right side of the y-axis with the same x-coordinate as A'' (which is the same as A).

Therefore, after all these transformations, point A' will lie on the left side of the y-axis with the same y-coordinate as A, and point A''' will lie on the right side of the y-axis with the same x-coordinate as A.

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True. Rational functions are defined as the division of two polynomials. These functions are limited in their scope and, as a result, have specific properties. One such property is the existence of vertical asymptotes.

Vertical asymptotes occur when the denominator of a rational function approaches zero, resulting in a discontinuity in the graph of the function, or a point at which the function can approach but never reach. This creates a divide in the graph, resulting in two halves with a vertical line at the point where the denominator equals zero. This vertical line is the vertical asymptote of the rational function. In conclusion, all rational functions have vertical asymptotes due to their limited scope and specific properties.

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The conversion of 24 mm into inches is 0.94488 inches.

Millimeter (mm) and inch are both units of length or distance, but they are used in different parts of the world.

A millimeter is a metric unit of length used in most countries outside the United States. It is equal to one-thousandth of a meter (1/1000 of a meter), or approximately 0.03937 inches.

To convert millimeters (mm) to inches, you can use the conversion factor of 1 mm = 0.03937 inches.

So, to convert 24 mm to inches, you can multiply 24 by 0.03937:

24 mm * 0.03937 inches/mm = 0.94488 inches

Therefore, 24 millimeters is approximately equal to 0.94488 inches.

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a. The value of angle y = 36°

b. The value of angle x = 57°

c. The relationship used to solve for y is sum of angles on a straight line

d. The relationship used to solve for x is sum of angles in a triangle

Triangles are polygons with 3 sides.

In ΔQPS and ΔQSR, ∠QSP + ∠QSR = 180° (sum of angles on a straight line)

Since ∠QSP = 2y and ∠QSR = 4y - 36°, we have that

2y + 4y - 36° = 180°

so, adding, we have

6y - 36° = 180°

Adding 36° to both sides, we have

6y = 180° + 36°

6y = 216°

y = 216°/6

y = 36°

In ΔQPS and ΔQSR, ∠PQS + ∠QPS +  ∠QSP = 180° (sum of angles in a triangle)

Since ∠QSP = 2y, ∠PQS = x and ∠QPS = 51°, we have that

2y + x + 51° = 180°

So, making x subject of the formula, we have that

x = 180° - 51° - 2y

x = 129° - 2y

Substituting y = 36° into the equation, we have that

x = 129° - 2y

x = 129° - 2(36°)

x = 129° - 72°

x = 57°

The relationship used to solve for y is sum of angles on a straight line

The relationship used to solve for x is sum of angles in a triangle

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 To find the x-intercept using the straight-line equation, substitute y=0 and solve for x. To find the y-intercept, substitute x=0 and solve for y.

The equation of a straight line is

y=mx+c

is the gradient and

c

is the height at which the line crosses the y-axis, also known as the y-intercept.

The gradient m is the slope of the line - the amount by which the ycoordinate increases in proportion to the x-coordinate. If you have two points (x1,y1) and (x2,y2) on the line, the gradient ism=y2−y1x2−x1

, we must first work out the gradient using the gradient formula above, and then choose either point to substitute into the straight line equation with this gradient.

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The percent of decrease from the original number to the final number is 25%. Percentage is count of a quantity per 100 quantities. The percent of decrease from the original number to the final number is 25%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

Suppose that the number in consideration be N

Then, we get:

Increased number = N + 50% of N

Since 50% of N is: ,

thus, the increased number = N + N/2 = 3N/2

Now this result is decreased by 50%

Decreased number = result - 50% of  result

Since 50% of result is:

Thus, Decreased number = 3N/2 - 3N/4 = 3N/4

Let us suppose that the original number N is decreased y% to get 3N/4(the final number)

Then,

3N/4 = N - y% of N

y% of N is calculated as:

Thus, we get:

Thus, the original number N is decreased y% = 25% to get 3N/4(the final number)

Thus, The percent of decrease from the original number to the final number is 25%.

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The polynomial 250x³ - 42x² + 112x is a trinomial of degree 3.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

The given polynomial is 250x³ - 42x² + 112x.

To classify this polynomial by the number of terms, we count the number of terms it has, which is three. Therefore, we can classify it as a "trinomial".

To identify the degree of this polynomial, we look at the highest power of x in the polynomial. In this case, the highest power of x is 3, which is the coefficient of the x³ term. Therefore, the degree of this polynomial is 3.

So, the polynomial 250x³ - 42x² + 112x is a trinomial of degree 3.

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The statement 'a correlational study is used to examine the relationship between two variables but cannot determine whether it is a cause-and-effect relationship" is true.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

When examining the link between two variables, a correlational analysis cannot establish if there is a cause-and-effect relationship.

This assertion is absolutely accurate. The data can only be used to infer cause and effect relationships if a proper experiment has been conducted. A control group and a sample of participants drawn using random sampling techniques are required for the study to qualify as an experiment.

Therefore, the given statement is true.

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Table 4 shows proportional relationship between x and y.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional. If equivalent elements in two sequences have a constant product, also known as the coefficient of proportionality, then the two sequences are inversely proportional.

The proportionality is given by the following equation:

y = kx

For table 1 substitute the value of x = 40 and y = 8.

8 = k (40)

k = 1/5

Table 1 does not follow the proportionality for all points hence option 1 is incorrect.

Similarly, table 2 and table 3 do not follow the proportionality for all points.

For table 4, substituting the value we have:

2 = k4

k = 1/2

The proportionality is followed for all the values.

Hence, table 4 shows proportional relationship between x and y.

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Answer:

-15°

Step-by-step explanation:

We know that at 7 pm it started at -6°, and that every 2 hours until 2 am, it dropped by 2 degrees.

From that we can form this expression:

-6-2x, with x being the number of hours it dropped.

From 7 pm to 2 am is 7 hours, therefore -6-2(7) = -20°

From 2 am until 7 am, it began raising 1 degree per hour.

We can write that as:

-20 + x, with x being the number of hours it went up.

From 2 am to 7 am is 5 hours:

-20 + 5 = -15°

Therefore, the temperature at 7 am is -15°.

Answer with Step-by-step explanation:

The time a vehicle is left parked is not a function of the cost of parking because the two variables are not directly related. The cost of parking in this situation depends on how long a vehicle is parked, while the opposite is not true.

This is because the cost of parking is based on an hourly rate, and the maximum cost is capped at $12. So, regardless of how long a car is parked, the maximum cost will always be $12. For example, a car parked for 1 hour will cost $3, a car parked for 4 hours will cost $12, and a car parked for 6 hours will still only cost $12.

On the other hand, the amount of time a car is parked is not limited by the parking cost. A driver may choose to park their car for any length of time within the maximum limit of the parking lot. So, the amount of time parked is not dependent on the cost but rather on the driver's choice and parking lot regulations.

As a result, there is no direct correlation between the length of time a car is parked and the cost of parking, and the length of time a car is parked is not a function of the cost of parking.

The number of fiction books is given as follows:

58 fiction books.

The number of fiction books is obtained applying the proportions in the context of the problem.

The total number of books is of 580, while the percentage of fiction books is of 10%. Hence the number of fiction books is obtained as follows:

0.1 x 580 = 58 fiction books.

The percentage of fiction books is of 10%.

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Answer:

Step-by-step explanation:

Answer: −a−5b

Step-by-step explanation:

How to simplify:

1. Rearrange terms

−4−(5−3)

−4−(−3+5)

2. Distribute

−4−(−3+5)

−4+3−5

3. Combine like terms

−4a+3a−5b

−a−5b

94 kg is approximately equal to 207.2350 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in lbs = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

94 kg = 94 × 2.20462

Multiply the numbers

= 207.235 pounds  ( rounded to four decimal places )

Therefore, 94 kg is 207.235 pounds

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Triangles

Looking at the image, It is safe to say there are two similar triangles having similar base and sides there.

Triangle BAC has the same base as Triangle DAC

Therefore, the vertices of the angle B is equivalent to the vertice of angle D

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Quick Note: I don't know what your answer are ?1!

Step-by-step explanation:

(4x⁵ + 11)²

= (4x⁵)² + (2 * 4x⁵ * 11) + (11)²

= 16x¹⁰ + 88x⁵ + 121

Found that a short stanza contains 8 lines and a long stanza contains 9 lines.

What is linear equation ?

A linear equation is an equation that describes a straight line in a two-dimensional coordinate system. The general form of a linear equation is:

y = mx + b

Explanation:
Let's use "s" to represent the number of lines in a short stanza and "l" to represent the number of lines in a long stanza.

From the problem, we know that Megan wrote 10 short stanzas and 2 long stanzas, for a total of 98 lines. This can be written as the equation:

10s + 2l = 98

We also know that Sebastian wrote 3 short stanzas and 7 long stanzas, for a total of 87 lines. This can be written as the equation:

3s + 7l = 87

We want to find the values of s and l that satisfy both of these equations. We can use algebra to solve for s and l.

Multiplying the first equation by 3, we get:

30s + 6l = 294

Multiplying the second equation by 2, we get:

6s + 14l = 174

Now we can add the two equations together to eliminate the variable s:

30s + 6l + 6s + 14l = 468

Simplifying and rearranging, we get:

36s + 20l = 468

Dividing both sides by 4, we get:

9s + 5l = 117

Now we have a new equation that relates the values of s and l that satisfy both sets of stanzas. We can use this equation along with one of the original equations to solve for either s or l.

Let's use the first equation, 10s + 2l = 98. We can solve for s in terms of l:

10s + 2l = 98

10s = 98 - 2l

s = (98 - 2l)/10

Now we can substitute this expression for s into the equation 9s + 5l = 117:

9[(98 - 2l)/10] + 5l = 117

Simplifying and solving for l, we get:

l = 9

Now we can substitute this value of l back into either of the original equations to solve for s. Using the first equation:

10s + 2l = 98

10s + 2(9) = 98

10s = 80

s = 8

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The Frequency Distribution table is shown below.

The proportion of one event's frequency to all events' frequencies in a statistical experiment.

Divide the frequency by the total number of data values to obtain the relative frequency. Add all of the earlier relative frequencies to the relative frequency for the current row to obtain the cumulative relative frequency.

Given:

The Frequency Distribution table is as follow:

Bin                           Frequency     relative Frequency        Cumulative        

                                                                                                Frequency

0- 5000                        4                    4/25 x 100 = 16%            4

5000 - 10000               7                    7/25 x 100 = 28%           4+7 = 13

10000- 15000               7                    7/25 x 100 = 28%            13+ 7= 20

15000 -20000              4                    4/25 x 100 = 16%            20+4= 24

20000-25000              3                    3/25 x 100 = 12%              24+3= 27

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8)

The indicated 3th root of 125 is 5.

9)

The indicated 4th root of 81 is 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

8)

∛125

5 x 5 x 5 = 125

And,

5³ = 125

So,

= ∛5³

= 5

9)

[tex]\sqrt[4]{81}[/tex]

3 x 3 x 3 x 3 = 81

And,

[tex]3^4[/tex] = 81

So,

= [tex]\sqrt[4]{3^4}[/tex]

= 3

Thus,

8)

∛125 is 5.

9)

[tex]\sqrt[4]{81}[/tex] is 3.

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Answer:

6/25

Step-by-step explanation:

you add the total number of green and yellow together to equal 12. you then divide this by the total 50 and then simplify!

hope this helps

86 centimeter is approximately equal to 33.8583 inches.

We may use the conversion factor of 1 inch = 2.54 cm to convert 86 cm to inches.

To obtain the corresponding measurement in inches, divide 86 cm by 2.54:

86 cm ÷ 2.54 inches = 33.8583 inches (rounded to four decimal places)

To comprehend this conversion, we must first realise that centimetres (cm) and inches (in) are both length units, but they are measured using distinct systems. Centimeters are part of the metric system, which is widely used in most nations worldwide, whereas inches are part of the Imperial system, which is widely used in the United States, the United Kingdom, and a few other countries.

The precise connection between the two measurement systems yielded the conversion factor of 1 inch = 2.54 cm. To translate a length from centimetres to inches, divide the value by 2.54, and to convert from centimetres to inches, multiply the value by 2.54.

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