what are three consecutive even numbers that have a sum of 5760?​

Therefore , the solution of the given problem of linear equation comes out to be y= (3/2)x + 5 .

The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.

Here,

We must first determine the slope of the line before using the point-slope form of the equation of a line to determine the equation of the line that goes through two points.

The angle of the line that connects the coordinates (2, 8) and (8, 7) is:

=> slope = (−7 − 8) / (−8 − 2)

=> slope = −15 / −10

=> slope = 3/2

When we express the equation of a line in the point-slope format, where (x1, y1) is one of the line's points and m is its slope, we get the following result:

=> y − y1 = m(x − x1)

By selecting the line's origin (2, 8) and substituting the slope m = 3/2, we obtain:

=> y − 8 = (3/2)(x − 2)

The equation y = mx + b is transformed into the slope-intercept form by condensing and reordering the variables.

=> y = (3/2)x + 5

Consequently, y = (3/2)x + 5 represents the equation of the line going through the points (2, 8) and (8, 7) respectively.

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With a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.

A scale factor is used when a shape is enlarged and each side is multiplied by the same quantity.

This number represents the scaling factor. Map scale factors are used to show distances between locations accurately.

The new shape created by scaling the original shape is twice as big when the scale factor is 2.

Thus, calculate the larger cylinder's volume as follows:

x/5 = 28/2

2x = 28*5

2x = 140

x = 70m³

Therefore, with a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.

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Complete question:

The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder?

Question 8 options:

A. 700 m3

B. 350 m3

C. 70 m3

D, 437.5 m3

E. 175 m3

Answer: 70m^3

Step-by-step explanation:

I took the test

A triangular pyramid is a solid figure made of only triangular faces.

A triangular pyramid is a type of pyramid that has a triangular base and three triangular faces that meet at a common point or apex. The triangular base is usually referred to as the base face of the pyramid, while the remaining three triangular faces are called lateral faces.

The properties of a triangular pyramid include:

It has one base face and three lateral faces.

All four faces are triangles.

It has four vertices or points.

It has six edges or line segments.

To find the volume of a triangular pyramid, the area of the base face and the height of the pyramid must be known.

Triangular pyramids can be found in many real-world applications, such as in the design of buildings and structures, in geometry and mathematics, and in the study of crystals and minerals. They are also used in computer graphics to create 3D models of objects and environments.

A triangular pyramid is a solid figure made of only triangular faces.

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The value of angle mXUV is 76⁰.

The value of angle mXUV is  109⁰.

The measure of angle mWXU is calculated by applying the following circle theorem.

mWXU  = ¹/₂ ( 152⁰ ) (angle at tangent is half the angle subtended by an arc )

mWXU  =  76⁰

The value of angle mXUV is calculated as follows;

mXUV + mXWV = 180 (opposite angles of a cyclic quadrilateral)

mXWV + 71 = 180

mXWV = 180 - 71

mXWV = 109⁰

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The scale factor of the dilation is 1/2.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Here given that blue figure is the dilated image of the black figure.

Dilation is the reduction.

The bottom left point is (2, 2) and top let point is (2, 4) of blue figure.

Length of the left segment of blue figure = [tex]\sqrt{(2-2)^2+(4-2)^2}[/tex]

                                                                    = 2

The bottom left point is (4, 4) and top let point is (4, 8) of black figure.

Length of the left segment of black figure = [tex]\sqrt{(4-4)^2+(8-4)^2}[/tex]

                                                                      = 4

Scale factor = Ratio of corresponding sides

                    = 2/4

                    = 1/2

This will be the same if we take another corresponding sides.

Hence the scale factor is 1/2.

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Eric made the wrong ratio of the sides of the triangle. As corresponding sides of both triangles are in proportion to each other. So, the proportion will be x/12=9/5. x equal to 21.6.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. If the corresponding sides and angles of two triangles are proportionate, then the triangles are similar. As a result, using another triangle, we may determine the dimensions of one triangle.

So, the right ratio of the sides of the triangle is x/12=9/5

12 * 9 / 5 =x

108/5 = x

21.6 = x

Therefore, x is equal to 21.6

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Answer:

ambiguous question dear!!

Step-by-step explanation:

The ratio of the diameter of the nucleus to the diameter of the atom is   [tex]2 \times 10^{-5}[/tex] .

A ratio is a mathematical relationship between two or more numbers that shows how much one number is in relation to the other.

As per the given data:

Diameter of an atom = [tex]4 \times 10^{-8}[/tex] cm

Diameter of the nucleus = [tex]8 \times 10^{-13}[/tex] cm

To find the ratio of the diameter of the nucleus to the diameter of the atom:

Ratio = (diameter of the nucleus) / (diameter of the atom)

Ratio = [tex]\frac{8 \times 10^{-13}}{4 \times 10^{-8}}[/tex]

[tex]= 2 \times 10^{-13 + 8}\\ = 2 \times 10^{-5}\\[/tex]

Hence, the ratio of the diameter of the nucleus to the diameter of the atom is  [tex]2 \times 10^{-5}[/tex] .

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Answer:

1. ASA

2.SSS

3. AAS

4. HL

5. it cannot be proven congruent (not satisfy any criteria)

6. ASA (the top angle of each triangle are congruent)

7. SAS

8. SSS

9. HL

10. AAS

11. it cannot be proven congruent (not satisfy any criteria)

12. SAS or AAS or ASA (the three angles of each triangle are congruent)

Step-by-step explanation:

In the picture attached, the triangles are shown. The criteria are:

SSS: side side side

SAS: side angle side

ASA:  angle side angle

AAS: angle angle side

HL: hypotenuse-leg (only valid for right triangles)

The probability of five successes where the number of trials is 6 and the probability of success is p = 0.2608, for the binomial probability distribution is; P(x = 5) = 0.00535

The binomial probability function can be expressed as follows;

Pₓ = [tex]\binom{n}{k}[/tex] × Pˣ × (1 - P)⁽ⁿ ⁻ ˣ⁾

Where;

P = The probability of success

x = The number of successes

n = The number of trials

The details from the question includes;

The type of probability distribution = Binomial probability distribution

The number of trials = 6

The probability of success = 0.2608

Therefore;

The probability of success, P = 0.2608

Number of trials, n = 6

The required number of successes, x = 5

Plugging in the above values in the binomial probability formula , we get;

P₅ = [tex]\binom{6}{5}[/tex] × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ = 6 × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ ≈ 0.0054

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Answer:

We can simplify the expression as follows:

First, we need to evaluate the exponent in parentheses:

2-3 = -1

Next, we need to square -1:

(-1)^2 = 1

Now, we can substitute 1 back into the expression:

+(-4)(1)

Finally, we can simplify:

+(-4) = -4

Therefore,

+(-4)(2-3)^2 = -4.

Step-by-step explanation:

An equivalent expression of (5.1u + 8) + 6 is 5.1u + (8 + 6)

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

(5.1u + 8) + 6

The associative property states that

(a + b) + c = a + (b + c)

Using the above as a guide, we have the following equation

(5.1u + 8) + 6 = 5.1u + (8 + 6)

Hence, the expression is 5.1u + (8 + 6)

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Answer:

The value of x = -4

Step-by-step explanation:

The given linear function is f(x) = -4x+8

We have to find the x corresponding to f(x) = 24

For our convenience, let f(x) = y

Then y = -4x + 8

This equation implies y in terms of x.

Isolating x to one side of the equation, we get,

x = (y - 8)/-4 = (8-y)/4

This equation gives x in terms of y.

So when f(x) = y = 24,

x = (8-24)/4

⇒ x = -4

Answer:

201.5km

Step-by-step explanation:

50000cm = 500m

1000m + 500m = 1500m

1km = 1000m

So 1.5km = 1500m then..

200km + 1.5km = 201.5km

Answer:

less than

Step-by-step explanation:

just multiply top and bottom untill the denominator is the same

Answer x is 7

Step-by-step explanation:

The three angles are 104degrees, (9x-25) and unknown

The pictures shows that the two sides are equal therefore the two opposite angles are equal

104 + (9x-25) +(9x-25) =180

RE write

104 +2(9x-25) =180

Subract 104 from both sides

2(9x-25) = 180-104

2(9x-25) = 76

Divide both sides by 2

9x - 25 = 38

Add 25 to both sides

9x = 63

Divide both sides by 9

X =7

The angle is 9x-25 = 38

In response to the aforementioned query, we may say that Point M's slope coordinates are therefore (39/25, 69/25).

A line's slope determines how steep it is. The gradient is mathematically expressed as gradient overflow. By dividing the vertical change (run) between two spots by the height change (rise) between the same two locations, the slope is determined. The equation for a straight line, y = mx + b, is written as a curve form of an expression. When the slope is m, b is b, and the line's y-intercept is located (0, b). For instance, the y-intercept and slope of the equation y = 3x - 7 (0, 7). The location of the y-intercept is where the slope of the path is m, b is b, and (0, b).

A and B's respective y-coordinates are at the midpoint of the triangle AB.

[tex]((x A + x B)/2, (y A + y B)/2)[/tex]is the midpoint.

[tex]((-4 + 2)/2, (2 + 10)/2)[/tex] is the midpoint.

Midway = [tex]( -1, 6 )\\[/tex]

Slope of AB: The slope of AB is equal to the product of the y-value and the x-value, or:

slope is equal to [tex](y B-y A) / (x B-x A).\\[/tex]

slope = [tex](10 - 2) / (2 - (-4))\\[/tex]

slope = 8/6 = 4/3

[tex]y - y 1 = m * (x - x 1)\\y - 6 = (-3/4) * (x + 1)\\y - 6 = (-3/4)\\x - (3/4)\sy = (-3/4)x + (21/4)[/tex]

Point M's coordinates are:

[tex]y = (-3/4)x + (21/4)\\4x/3 + 2 = (-3/4)x + (21/4)\\16x + 24 = -9x + 63\s25x = 39\ = 39/25\\y = (-3/4)(39/25) + (21/4) = 69/25\\[/tex]

Point M's coordinates are therefore (39/25, 69/25).

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We can state this by responding to the provided question December 31: equation Interest Paid 184 Interest Expensed 184 (To charge interest for one month on the Paola Bank note)

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The journal entries for the mentioned transactions are as follows:

Jan. 2: 40,000 in product inventory and 40,000 in accounts payable (To record the purchase of merchandise on account)

April 1: Cash 40,600 Accounts Payable 40,000 Interest Payable 600 (To record the payment of the Nunez note and interest)

Oct. 1: Cash 70,110 Notes Payable 68,400 Interest Payable 1,710 (To record the payment of the Marson note and interest)

Cash 27,600 Notes Payable 27,600 as of December 1

(In order to document the note's issuance to Paola Bank)

December 31: Interest Paid 184 Interest Expensed 184

(To charge interest for one month on the Paola Bank note)

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Answer: 14.5 and 5.5

Step-by-step explanation:

The issue is using whole numbers. 14+6=20, but 14-6=8.   15+5=20, but 15-5=10. If we use decimals, we can get in between the numbers a little to get 9. 14.5+5.5=20, but unlike 14+6, 14.5 gives 5 a tiny boost to push it to 14.5-5.5=9. Hope that helps!

Answer:

14.5

5.5

Step-by-step explanation:

14.5+5.5=20

14.5-5.5=9

a. The mean of the sampling distribution is 0.2 and the standard deviation is 0.027. b. The probability that Cindy will get at least 48 orange Stattle is approximately 0.0901.

A method for estimating the probability of a binomial distribution using a normal distribution is known as the normal approximation to the binomial distribution. When the sample size is sizable and the success probability is not too close to 0 or 1, it can be employed. To utilise this approximation, we must first get the binomial distribution's mean and standard deviation, then normalise the distribution using the z-score calculation.

As 20% of the candies are orange, the mean of the sampling distribution of p is equal to the population percentage, which is 0.2.

The standard deviation of the sampling distribution of p can be found using the formula:

σp = sqrt((p * (1 - p)) / n)

Substituting the values:

σp = sqrt((0.2 * 0.8) / 220) = 0.027

So the mean of the sampling distribution is 0.2 and the standard deviation is 0.027.

b. Let X be the number of orange Stattles in the bag.

The z-score is given as:

z = (X - μ) / σ

z = (48 - 44) / 2.974 = 1.34

So the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is approximately 0.0901.

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The equation for the number of cells after t-15 minute periods is C = 157 x [tex]2^{t/15}[/tex].

The number of cells after 2 hours is  40,192.

The equation for the number of cells after t-15 minute periods is an exponential equation.

The form of the equation will be:

Future population = present population x [tex]2^{number of minutes / 15}[/tex]

C = 157 x x [tex]2^{t/15}[/tex].

Number of cells after 2 hours :

First convert 2 hours to minutes = 2 x 60 = 120 minutes

C =  157 x [tex]2^{120/15}[/tex]

157 x [tex]2^{8}[/tex]

C = 40,192

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The best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.

What is work and time in mathematics?

In mathematics, work refers to the amount of effort or energy needed to complete a task or achieve a goal. Work is often measured in units such as joules or calories.

Time refers to the duration or amount of time it takes to complete a task or achieve a goal. Time is often measured in units such as seconds, minutes, hours, or days.

To estimate the time it will take Andrea and her friend to paint the fence together, we can use the formula:

Total Time = (Time for Person 1 x Time for Person 2) / (Time for Person 1 + Time for Person 2)

Using this formula, we can estimate the time it will take Andrea and her friend to paint the fence together as:

Total Time = (6 hours x 4 hours) / (6 hours + 4 hours) = 24/10 = 2.4 hours

Therefore, the best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.

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Answer:

Step-by-step explanation:

10 + 10 = 20

☁️Answer☁️ I think D.

️Step-by-step explanation️ hope this helps

Answer:

To convert from Celsius to Fahrenheit, we can use the formula F = (C × 1.8) + 32.

First, we need to convert 10.5 °C to Fahrenheit:

F = (10.5 × 1.8) + 32

F = 18.9 + 32

F = 50.9 °F

Then, we can add the 1.5 °C increase in temperature:

New C temperature = 10.5 + 1.5 = 12 °C

And convert that to Fahrenheit using the same formula:

F = (12 × 1.8) + 32

F = 21.6 + 32

F = 54.6 °F

Therefore, the water temperature this weekend in F° will be approximately 54.6 °F.

The probability that a random sample of 50 seniors has a mean score of at most 415 is given as follows:

0.1894 = 18.94%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters are given as follows:

[tex]\mu = 425, \sigma = 80, n = 50, s = \frac{80}{\sqrt{50}} = 11.31[/tex]

The probability that they scored at most 415 is the p-value of Z when X = 415, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (415 - 425)/11.31

Z = -0.88

Z = -0.88 has a p-value of 0.1894.

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Answer: $4.35

Step-by-step explanation:

320.38 rupees / 73.6500 rupees = $4.35

Answer:

22² · π

Step-by-step explanation:

The formula to find the area of the circle is

A = π · r²

r = 22

Looking at the options, the answer is 22² · π

Answer:

Below

Step-by-step explanation:

EVERY triangle's angles add up to 180 degrees

  a RIGHT triangle has a 90 degree angle

       this right triangle also has a 45 degree angle

              let x° = third angle

                     90°  + 45°  + x° = 180°

                                 x = 180 - 90 - 45 = 45 degrees

Step-by-step explanation:

This figure is made up of a cone and a semi sphere. Let's find the area of the cone

Volume of a cone

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

The height is 34 cm.

The radius is half the diameter of the sphere ,

this the radius is 14

[tex] \frac{1}{3} \pi( {14}^{2} )(34)[/tex]

Hint: Do not round mid calculations, only when you are done.

Volume of the semi sphere is

[tex] \frac{1}{2} ( \frac{4}{3} \pi {r}^{3} )[/tex]

The radius is 14

[tex] \frac{1}{2} ( \frac{4}{3} \pi(14) {}^{3} )[/tex]

Add both areas

[tex] \frac{1}{3} \pi( {14}^{2} )(34) + \frac{2}{3} \pi(14) {}^{3} [/tex]

Use 3.14 for pi

Which gives us

12719 to the nearest whole number