can anyone help solve this with a detailed explanation so my older sister can find out how to do it ​

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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The length of arc JL is approximately 15.08 units.

We have,

The length of an arc in a circle can be calculated using the formula:

Arc Length = (θ/360) * 2πr

where θ is the central angle in degrees, r is the radius of the circle, and 2π is approximately 6.28.

In this case, we are given the central angle JKL = 144° and the radius JK = 6 units.

Plugging in the values, we have:

Arc Length = (144/360) * 2π * 6

Arc Length ≈ (0.4) * 6.28 * 6

Arc Length ≈ 15.072 units

Rounded to the nearest hundredth,

The length of arc JL is approximately 15.08 units.

Thus,

The length of arc JL is approximately 15.08 units.

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Answer:

Equation of line that includes the point (-9, -8) has a slope of 5 in point-slope form is

\(y+8 = 5 (x + 9)\)

Step-by-step explanation:

Equation of line in point-slope form is given as

\(y-y_1 = m (x-x_1)\)  ---------- (1)

Here

\(m=5 \ \ \ and \ \ \ (x_1, y_1) = (-9, -8)\)

Substitute values in equation (1)

\(y+8 = 5 (x + 9)\)

Simplifying it further

\(y = 5x + 45 -8\)

\(y = 5x + 37\)

To find the number that exceeds its square by the greatest amount, we can use these terms: "number" and "square."

Let "n" represent the number.
The square of the number is "n^2."

We are looking for the greatest difference between the number and its square, which can be represented as:

Difference (D) = n - n^2

To find the number that maximizes this difference, we can use calculus to find the critical points (where the derivative is zero or undefined). However, since you asked not to solve it, I'll provide the necessary equations for solving:

1. D = n - n^2
2. Find the derivative of D with respect to n: dD/dn

By following these steps, you can solve for the number that exceeds its square by the greatest amount.

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Based on the given graph and line, the distance between the pair of points is 5

To find the distance between two points on a line or a pair of points, first find the coordinates of the points:

(-1, -2) and (-1, 3)

The distance then be found by applying the formula:

=√((x2 – x1)² + (y2 – y1)²)

Solving for the distance gives:

=√((-1 – (-1))² + (3 – (-2))²)

= 5

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Answer:

Step-by-step explanation:

The sum will always be odd except if one of the primes is 2.

There is no certainty that what will be the sum of 5 distinct prime numbers can be odd they can be even

A prime number is not a composite number, prime numbers are only divisible by the number itself and one.

An example of a prime number is 2 which is only divisible by 2 and 1 it is also the only even prime number.

Let, P₁, P₂, P₃, P₄, and P₅ be five distinct prime numbers.

Assuming they are 2, 3, 5, 7, and 11.

Their sum is (2 + 3 + 5 + 7 + 11).

= 28, it is an even number.

Let, 5, 7, 11, 13, and 17 be 5 prime numbers their sum is,

= (5 + 7 + 11 + 13 + 17).

= 53, it is an odd number.

∴ There is no certainty that what will be the sum of 5 distinct prime numbers can be odd they can be even.

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Answer:

22.

x=35

y=8

23.

x=30

y=50

Step-by-step explanation:

Given data:

The given number is a=0.09.

The given nummber can be written as,

a=0.09

=9x10^(-2)

=9/100

Thus, the given nummber can be written infraction form as 9/100.

Answer:

the bottom one

Step-by-step explanation:

its distributive property. 5x11+5x7

Answer:

(a) ∠KHG = 120°

(b) (i) KG = 15.625 km

(b) (ii) bearing of G from K = 240°

Step-by-step explanation:

(a) 360° - 290° = 70°

∠KHG = 70° + 50° = 120°

(b) (i) ∠KGH = 26°

∠GKH = 34°

KG = 7.875 + 7.75 = 15.625 km

(b)(ii) Bearing from G from K = 110° + 130° = 240°

Answer:

x + y ≤ 12

Step-by-step explanation:

Inequality:

   Not more than 12 means less than or equal to 12

x + y ≤ 12

Answer:

So, a regular polygon with an exterior angle measure of 12 degrees has 30 sides.

Greetings from Brasil...

2X/(X + 2) = 6/(X + 4)

2X(X + 4) = 6(X + 2)

2X² + 2X - 12 = 0     ÷2

2X²/2 + 2X/2 - 12/2 = 0/2

Δ = 25

S = {-3, 2}

By using factorization,  \(\frac{2x}{x+2} =\frac{6}{x+4}\) , values of x are -2, 3.

Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number. These numbers are broken down into factors or divisors.

Given

\(\frac{2x}{x+2} =\frac{6}{x+4}\)

⇒ 2x(x + 4) = 6(x + 2)

⇒ \(2x^{2} +8x = 6x + 12\)

⇒ \(2x^{2} +8x-6x-12=0\)

⇒ \(2x^{2} +2x -12=0\)

Divide above equation by 2, we get

⇒ \(x^{2} +x -6=0\)

⇒ \(x^{2} +2x-3x-6=0\)

⇒ \(x(x+2)-3(x+2)=0\)

⇒ \((x+2)(x-3)=0\)

⇒ x = -2, 3

By using factorization,  \(\frac{2x}{x+2} =\frac{6}{x+4}\) , values of x are -2, 3.

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Answer:

  see below for the meaning of a, b, c, k, p, q.

Step-by-step explanation:

You want the minimum value of a quadratic function.

The extreme will be a minimum if the sign of the leading term is positive. It will be a maximum if the sign of the leading term is negative.

The standard form equation of a parabola is ...

  f(x) = ax² +bx +c

The x-coordinate of the extreme value (maximum or minimum) is ...

  x = -b/(2a)

The y-coordinate of the extreme value, the maximum or minimum, is ...

  y = -b²/(4a) +c

The extreme point is (-b/(2a), -b²/(4a) +c).

The vertex form equation of a parabola is ...

  f(x) = a(x -h)² +k

The coordinates of the vertex (extreme point) are (h, k).

The factored form of the equation of a parabola is ...

  f(x) = a(x -p)(x -q)

where p and q are the x-intercepts.

The coordinates of the extreme point are ((p+q)/2, -a/4(p-q)²).

__

Additional comment

As you can see, the way you find the minimum (or maximum) value depends on what you're starting with. In general that value is the y-value of the vertex. We have also shown the x-value of the vertex, because you may be asked for the coordinates of the minimum (or maximum) point.

You may see the quadratic function in other forms. Generally, those forms can be rearranged to one of these forms. Obviously, if you're looking for the vertex, the "vertex form" is the easiest place to start.

The value of 'a' is the leading coefficient in every case.

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To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method. The minimum value occurs at the vertex of the parabola.

To find the minimum value of a quadratic equation, you can use either the vertex formula or completing the square method.

Vertex Formula:

Completing the Square:

By using either of these methods, you can find the minimum value of a quadratic equation.

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No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Arun is going to invest $7,700 and leave it in an account for 20 years. Assuming theinterest is compounded continuously, what interest rate, to the nearest hundredth ofa percent, would be required in order for Arun to endend up with $13,100?

So first you do 13,100 minus 7700 equals 5400. Now you have 5400 you want to divide it by 20 which equals 270. So over the course of 20 years it went up to 13100. Which means every year it had to go up by $270 but that’s not a percent so… we have to divide 13100 by 5400 which equals 2.43 (Hope this helps)

The area of sector of the circle at a given angle is 114.3 km.sq.

The sector is simply a section of a circle, and it may be described using the following three criteria:

Area of a sector(A): The angle of the sector in a circle with a radius r and a center at O is defined as θ(in degrees). The unitary approach is then used to determine the area of a sector in the circle formula.

                       A = (θ/360°) ×  πr²

Given:

radius = 10 km

angle = 131

Area of the sector = (θ/360°) *  πr²

                           = (131/360) * 3.14 * 10 * 10

                           = 114.3 km.sq

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Answer:

Angle 6 = 140°

Step-by-step explanation:

Angle 5 = 40°

Angles 5 and 6 are supplementary (Their sum is equal to 180°)

180 - 40 = 140°

Angle 6 = 140°

Hope this helps. Have a nice day.

Answer:

Step-by-step explanation:

∠6 = 180 - 40

∠6 = 140°

see image below.

The correct answer to the given question about all of the diagonals drawn from a vertex of an n-gon is option b) n-1

If all of the diagonals are drawn from a vertex of an n-gon, the number of triangles formed is equal to the number of non-diagonal sides of the n-gon. To see why, imagine selecting a vertex of the n-gon and drawing all of the diagonals from that vertex. Each diagonal connects that vertex to a non-adjacent vertex of the n-gon, which splits the n-gon into a series of triangles. The total number of triangles formed is equal to the number of non-diagonal sides of the n-gon, because each non-diagonal side forms one triangle with the selected vertex and one of its adjacent vertices. An n-gon has n sides, so the number of non-diagonal sides is equal to n - 3. This is because each vertex is connected to two adjacent vertices, so there are n - 2 diagonal sides emanating from the selected vertex, and the remaining n - 2 sides are non-diagonal. In addition, there are three sides at the selected vertex that are not counted as non-diagonal sides, so we subtract 3 from n - 2 to get n - 3. Therefore, the answer is (B) n - 1.

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The value of x for the triangles are:

13) x = 7.5 units

14) x = 4√6 units

15) x = (10√3)/3  units

16) x = 12 units

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Check the attached for labeling. The value of x for the triangles can be determined as follow.

No. 13

Consider the left triangle:

sin 60° = y/10

y = 10 * sin 60°

y = 5√3 units

Consider the right triangle:

sin 60° = x/y

x = (5√3) * sin60°

x = 7.5 units

No. 14

Consider the upper triangle:

sin 60° = 6/y

y = 6 / sin60°

y = 4√3 units

Consider the lower triangle:

cos 45° = y/x

cos 45° = (4√3)/x

x = (4√3)/cos 45°

x = 4√6 units

No. 15

Consider the left triangle:

tan 60° = (10√3)/y

y = (10√3) / tan60°

y = 10 units

Consider the right triangle:

tan 60° = y/x

tan 60° = 10/x

x = 10/tan 60°

x = (10√3)/3  units

No. 16

Consider the right triangle:

sin 60° = 6/y

y = 6 / sin60°

y = 4√3 units

Consider the right triangle:

tan 60° = x/y

tan 60° = x/(4√3)

x = 4√3 * tan 60°

x = 12 units

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Answer:

$39.80

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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The value of the side x is 28. 65

It is important to note the different trigonometric identities, we have;

From the image shown, we have that;

The opposite side = 19

The adjacent side = x

The angle = 38

Using tangent, we have

tan 38 = 19/x

Find the value

x = 19/0.6632

x = 28. 65

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Answer:

89

Step-by-step explanation:

Using the rule for alternate angles, angle ACD is also 39 degrees.

After finding this, we now have the 2 angles in the triangle: 50 and 39 .

Using this we can calculate the value of the angle adjacent to x: 180 - (50+39) = 91.

X and the adjacent angle are on a straight line so they add up to 180.

so, x = 180 - 91 = 89

Hope this helps.

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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We must calculate the price for a pound, so we will know the best value:

In the other words. it is better to boy 10 pounds for the costo of $3.99 since it comes out at $0.399 per pound, instead the other comes out at $0.498 per pound.

Answer:

19

Step-by-step explanation:

-8+8=0

0+19=19

Hope it helps.

Answer:

19

Step-by-step explanation:

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