find the hcf of each of the following algebraic expression 2a and 14​

The $10 scale is a good scale to use for the y-axis. 12 months is sufficient to plot the graph and display the changes.

What is a coordinate system?

coordinate system, Setup of reference lines or curves that are used to pinpoint the locations of points in space The most popular two-dimensional system is called Cartesian (after René Descartes). Points are identified by their separation from a reference point, known as the origin, along a horizontal (x) and vertical (y) axis (0, 0).

Let the y-axis represent the money for groceries and the x-axis the number of months.

Given is that, the grocery bills range from $110 to $170.

We can thus view the changes in the grocery bills over 7 intervals by placing a scale of $10 on the y-axis.

Consequently, a $10 scale is a good scale.

Additionally, the y-axis shows the number of months. It will be sufficient to plot the graph and display the changes in grocery bills over the course of 12 months.

Therefore, 12 points are enough to represent a month.

To know more about the coordinate system here:

https://brainly.com/question/4726772

#SPJ4

Solution

Now

Add and subtract

The length of Adrianna's bedroom that has a perimeter of 90 feet and a width of 15 feet is 30 feet.

To find the length of Adrianna's bedroom, we can use the formula for the perimeter of a rectangle:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

We are given that the perimeter is 90 feet and the width is 15 feet, so we can substitute those values into the formula:

90 = 2l + 2(15)

Simplifying:

90 = 2l + 30

Subtracting 30 from both sides:

60 = 2l

Dividing both sides by 2:

30 = l

Therefore, the length of Adrianna's bedroom is 30 feet.

Learn more about perimeter of a rectangle here: https://brainly.com/question/19819849

#SPJ11

The value of sin(θ) is approximately 0.921 and the value of cos(θ) is approximately 0.391.

To find the value of each variable using sine and cosine, we need to set up a right triangle with the given information. Let's label the sides of the triangle as follows:

Using the Pythagorean theorem, we can find the length of the hypotenuse:

h2 = s2 + t2

h2 = 31.32 + 13.32

h2 = 979.69 + 176.89

h2 = 1156.58

h = √1156.58

h ≈ 34.0

Now that we know the length of the hypotenuse, we can use sine and cosine to find the values of the variables:

sin(θ) = s / h

sin(θ) = 31.3 / 34.0

sin(θ) ≈ 0.921

cos(θ) = t / h

cos(θ) = 13.3 / 34.0

cos(θ) ≈ 0.391

About value here:

https://brainly.com/question/30145972

#SPJ11

Frannie listened to 1/30 of her music collection while on vacation.

We have been given that Frannie put 1/5 of her music collection on an mp3 player. while on vacation, she listened to 1/6 of the music on the player.

To find the amount of music collection listened to by Frannie, while on vacation, we need to find  1/5 of 1/6.

The amount of music collection listened to by Frannie on the vacation: =1/5*1/6

=1/30

Therefore, Frannie listened to 1/30 of her music collection while on vacation.

To know more about General multiplication:

https://brainly.com/question/9519700

#SPJ4

Answer:

15) x = 20

16) y = 45°, z = 30°

17) all 4 corners = 90°, all 4 sides are equal length, diagonals are perpendicular, diagonals bisect the corner angles.

We can't do the extra credit because we do not have a relationship about the side lengths. We just have angle information.

Step-by-step explanation:

15) 2x + 8 = 3x - 12

x = 20

16) 2y = 90°

y = 45°

3z = 90°

z = 30°

asdasdasdsadasasdasd

Answer:

El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.

Step-by-step explanation:

Sea E la localización del extraterrestre, O, el del hombre de negro, y B, el de la base del edificio. A partir de la información disponible, construimos el diagrama geométrico que indica la presencia de un triángulo rectángulo, el cual puede consultarse en la imagen adjunta.

Podemos determinar el ángulo de disparo mediante la siguiente relación trigonométrica inversa:

\(A = \tan^{-1} \frac{443\,m}{18\,m}\)

\(A \approx 87.7^{\circ}\)

El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.

The length of AG is approximately 34.47 mm to 2 decimal places.

what is length ?

In mathematics, length is a measure of distance along a straight line or curve. It is a fundamental concept in geometry and is defined as the distance between two points in space.

what is decimal places ?

In mathematics, decimal places refer to the number of digits that appear after the decimal point in a number expressed in decimal form.

In the given question,

To find the length of AG, we can use trigonometry and the given angles. Let's label some points on the diagram:

Let O be the center of square aehd, and let M be the midpoint of AD.

We can see that triangle AOG is a right triangle, since AO and OG are perpendicular (because square aehd is perpendicular to square bfgc). Therefore, we can use trigonometry to find the length of AG.

First, let's find the length of OM. Since M is the midpoint of AD, we know that OM = AD/2 = 21 mm.

Next, let's find the length of AM. We can use trigonometry and the given angles:

tan(27) = AM/AG => AM = AG * tan(27)

tan(36) = AM/OM => AM = OM * tan(36)

Therefore, we can combine these two equations to find AG:

AG * tan(27) = OM * tan(36)

AG = OM * tan(36) / tan(27)

AG = 21 * tan(36) / tan(27)

AG ≈ 34.47 mm (rounded to 2 decimal places)

Therefore, the length of AG is approximately 34.47 mm to 2 decimal places.

To know more about length , visit:

https://brainly.com/question/30100801

#SPJ1

I do not know that that is hard

Answer: Why does this guy need so much soda? And my brain isn't working for math right now. Sorry sweetheart.

Step-by-step explanation: Have a nice day!

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The transformation that maps △UVW onto △U'V'W' is (d) 270 degrees counterclockwise

From the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

Triangle △UVW has the same side length as the triangle △U'V'W'

This means that

(x, y) = (x, y)

The orientations are 270 degrees apart in the counterclockwise direction

So, we have

(x, y) = (y, -x)

Hence, the transformation is (d)

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.

Here,

Given: A new supply of 300 spark plugs will come on Thursday,

and 520 spark plugs require 48 plugs per day.

To determine an equation to determine however many plugs will just be left at the end of Friday:

So,

where n is the no of days

=> 520 - 48*n + 300

=> 520 - 48*5 + 300

=> 520 - 240 + 300

=> 520 + 60

=> 580

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

-243

Step-by-step explanation:

Answer:

No only variable on both sides have no solution

Step-by-step explanation:

Then you can get,

for example x=x

or,

y=y

Answer:

Step-by-step explanation:

A. Every equation with variables on both sides has no solution.​ However, it is also possible for an equation with the variable on only one side to also have no solution.

B. If the variable only appears on one side of an​ equation, then the equation can always be solved for the variable. This means that if an equation has no​ solution, then the variable must appear on both sides.

C. Any equation can have one​ solution, infinitely many​ solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides.

D. If the variable only appears on one side of an​ equation, then the equation can always be solved for the variable. By​ contrast, an equation with variables on both sides always has no solution or infinitely many solutions.

Answer:

567.06 in.²

Step-by-step explanation:

The mat is a semicircle.

The straight side is a diameter.

d = 38 in.

r = d/2 = 19 in.

Area of circle = πr²

Area of semicircle = πr²/2

A = 3.14159 × (19 in.)² / 2

A = 567.06 in.²

Answer:

3.75c=450

Step-by-step explanation:

Answer:

The class would need to sell 120 boxes of candy.

Step-by-step explanation:

You divide 450 by 3.75

450 ÷ 3.75 = 120

Answer:

7^12

Step-by-step explanation:

if you are dividing the base numbers then you are subtracting the exponents

The length of the metal tray can be determined by adding the given dimensions of the tray, which are 20 inches and 14 inches, along with the unknown dimensions represented by "X."

To find the length of the metal tray, we need to consider the given dimensions and the unknown dimensions represented by "X." Let's assume that the length of the metal tray is L. From the given diagram, we can observe that the 20-inch dimension corresponds to one end of the tray, and the 14-inch dimension corresponds to the other end of the tray. In between, there are three sections denoted by "X."

Therefore, the expression for the length of the metal tray can be written as L = 20 + X + X + X + 14, which simplifies to L = 54 + 3X. Thus, the length of the metal tray can be calculated by adding the fixed dimensions and three times the value of "X."

To learn more about dimensions click here, brainly.com/question/31106945

#SPJ11

Answer:

Step-by-step explanation:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5,

T = -m - 3n + 8.

R - S + T = 11 - 2m - (n + 5) + (-m - 3n + 8)

R - S + T = 11 - 2m - n - 5 - m - 3n + 8

R - S + T = 14 - 3m - 4n

R - S + T = -3m - 4n + 14

In simplest radicle form, the length of the third side = 9 units.

Given,

Side A = 7 units.

Side B = 4√2 units.

To find Side C, we use the Pythagorean formula,

a² = b² + c²

7² = \(4\sqrt{2}^{2}\) + c²  

c² = 49 + 32

c² = 81

√c² = √81

c = -9,9.

c ≠ -9 as negative values are not considered for dimensions.

Hence, the length of the third side is 9 units.

To learn more about Pythagorean theory, refer to:

https://brainly.com/question/343682

#SPJ4

Your question is incomplete. The complete question is:

With reference to the figure below,  find the length of the third side. If necessary, write in the simplest radical form.

To improve the model's performance in predicting thyroid cancer occurrence, two potential steps to consider are: generating synthetic samples using SMOTE and collecting more data for the positive cases. option b and d

The given problem scenario involves imbalanced classes, with a significantly higher number of negative instances compared to positive instances. This class imbalance can lead to biased model performance, such as poor recall for the minority class (positive instances in this case). Here are the two selected steps and their rationale:

B) Generating synthetic samples using SMOTE: SMOTE is a technique used to address class imbalance by creating synthetic samples of the minority class. It generates new instances by interpolating between neighboring instances of the minority class. By using SMOTE, the positive class can be over-sampled, increasing the representation of thyroid cancer cases in the training data. This can help the model learn better decision boundaries for positive instances and improve recall.

D) Collecting more data for the positive cases: Increasing the number of positive instances in the training data can provide the model with more information to learn from. Collecting additional data specifically for positive cases, such as acquiring more samples of individuals diagnosed with thyroid cancer, can help in better capturing the characteristics and patterns associated with cancer occurrence. This can lead to a more balanced representation of the classes and potentially improve recall.

While options A (under-sampling instances from the positive class) and E (using Bagging) are also strategies to address class imbalance, they may not be as effective in this specific scenario. Under-sampling positive instances may further reduce the information available for learning, and Bagging, although useful for ensemble learning, may not directly address the class imbalance issue or improve recall.

learn ore about training data here:

https://brainly.com/question/31866369

#SPJ11

Answer:

Step-by-step explanation:

22 he sahwv i;b ihba

The lateral area of the square pyramid in this problem is given as follows:

672 ft².

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

Considering a right triangle with sides of 14/2 = 7 ft and h ft, and hypotenuse of 25 ft, applying the Pythagorean Theorem, the height of each lateral face is given as follows:

h² + 7² = 25²

\(h = \sqrt{25^2 - 7^2}\)

h = 24.

The lateral area of the pyramid is composed by four triangles of base 14 ft and height 24 ft, hence it is given as follows:

LSA = 4 x 1/2 x 14 x 24

LSA = 672 ft².

More can be learned about the area of a triangle at brainly.com/question/21735282

#SPJ1

Answer:

31

Step-by-step explanation:

Square both sides of the equation to get

x+5 = 36

x = 31

Therefore, based on the given information, the estimated age of the tomb is approximately 3,970 years.

To estimate the age of the tomb based on the radioactive carbon-14 (C-14) content in the cypress beam, we can use the decay equation:

A = A₀ * e*(kt)

Where:

A = Final amount of radioactive substance (55% of the original C-14 content)

A₀ = Initial amount of radioactive substance (100% of the original C-14 content)

k = Decay constant (ln(2) / half-life of C-14)

t = Time (age of the tomb)

Given that the half-life of C-14 is approximately 5600 years, we can calculate the decay constant:

k = ln(2) / 5600 years

Now we can plug in the values:

0.55A₀ = A₀ * e*((ln(2) / 5600 years) * t)

Dividing both sides by A₀:

0.55 = e*((ln(2) / 5600 years) * t)

Taking the natural logarithm of both sides:

ln(0.55) = (ln(2) / 5600 years) * t

Now we can solve for t, the age of the tomb:

t = (ln(0.55) * 5600 years) / ln(2)

Evaluating the expression:

t ≈ 3,970 years

To know more about estimated age,

https://brainly.com/question/30358582

#SPJ11

Answer:

The key fact about the enlargement, scale factor > 1

The key fact about the reduction, 0 < scale factor < 1

Step-by-step explanation:

Let us explain what is the dilation?

Enlargement means the image of a figure after dilation is larger than the original figure

Reduction means the image of a figure after dilation is smaller than the original figure

The key fact about the enlargement is that the scale factor of dilation must be greater than 1 ⇒ scale factor > 1

The key fact about the reduction is that the scale factor of dilation must be between 0 and 1 ⇒ 0 < scale factor < 1

Answer:

An enlargement has a scale factor greater than 1 and the image has a longer distance from the point of dilation than the pre-image. A reduction has a scale factor between 0 and 1, and shrinks on the coordinate plane.

Step-by-step explanation:

This is the sample respond on Edg. I just took the assignment and it was right.

The slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

According to the question.

A line passes through the two points (-2, 5) and (6, -4).

As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

So, the slope of the line = -4 -5/(6 + 2) = -9/8

And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by

y = (-9/8)x + b

Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.

⇒ 5 = (-9/8)(-2) + b

⇒ 5 = 9/4 + b

⇒ b = 5 - 9/4

⇒ b = (20 - 9)/4

⇒ b = 11/4

Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

Find out more information about slope intercept form of a line here:

https://brainly.com/question/9682526

#SPJ4

Answer:

2.5 inch i think because 1 inch equals 100 miles and .5 i think it is 50 miles

Answer:

-3=b

Step-by-step explanation:

Hey there!

In order to find the value for b, we must first combine all like terms

-11-6b+3=16+2b

-8-6b=16+2b

-24=8b

Now we simplified the equation to a point where we can find the value of b in one step

-24/8 = 8b/8

-3=b

Answer:

-3

Step-by-step explanation:

Bring to the right of = the Number with b and to the left the other.

Remember to change sign of Number when you switch

So

\( - 11 + 3 - 16 = 2b + 6b\)

Do addition

\( - 24 = 8b\)

Find b

\(b = - 24 \div 8\)

b= -3

The value of logarithmic function, log360 is 3log2 + 2log3 + log5 as prooved below.

To prove that log360 = 3log2 + 2log3 + log5:

We will use the logarithmic property that states log(a * b) = log(a) + log(b).

Logarithmic properties refer to the rules and relationships that govern the manipulation and simplification of logarithmic expressions. These properties are useful in various areas of mathematics, such as algebra, calculus, and number theory.

Starting with the left side:

log360

Since 360 can be expressed as the product of its prime factors \((2^3 * 3^2 * 5^1)\), we can rewrite it as:

\(log(2^3 * 3^2 * 5^1)\)

Using the logarithmic property mentioned earlier, we can expand it further:

\(log(2^3) + log(3^2) + log(5^1)\)

Which simplifies to:

3log2 + 2log3 + log5

Therefore, log360 = 3log2 + 2log3 + log5 is proven.

Learn more about logarithmic functions here:

https://brainly.com/question/3181916

#SPJ1

Complete question:

log360 = 3log2 + 2log3 + log5