In the quadratic formula, the number for a is filled in with the coefficient of x

The second location result in the largest area of grass that Jaeger can eat, which is approximately 353.57 square meters.

We may infer from the facts provided that Jaeger the goat will be confined to a 10- by-16-meter rectangular shelter by means of a 15-meter chain. All of the grass along the chain may be consumed by Jaeger. At three separate points in the shed, we are instructed to locate the patch of grass that Jaeger can eat.

Let's consider the three different locations as follows:

Attach the chain to a corner of the shed.

Jaeger can only eat as much grass as is contained inside a quarter-circle with a radius of 15 meters (the length of the chain) if the chain is fastened to a shed corner. This quarter-circle's area is:

Area = (1/4) x π x (15 meters)²

Area = 176.71 square meters (approx)

Affix the chain to the middle of one of the shed's longer sides.

This semicircle's area is:

Area = (1/2) x π x (15 meters)²

Area = 353. 57 square meters (approx)

To the center of one of the shed's shorter sides, fasten the chain.

This circular sector's area will be as follows:

Area = (90/360) x π x (15 meters)²

Area = 176.71 square meters (approx)

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The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

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For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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Answer

A, C, and D

Step-by-step explanation:

You are trying to find the y value in (x,y) form. Therefore, it has to be A, C, and D because they all have a 6 in the y value.

Answer:6^21

Step-by-step explanation:

The equation that represents the relationship on the graph attached below is: y = 4/5x + 3.

Given a linear graph like the one attached below, showing the relationship between x and y, the equation that represents the relationship between x and y in the given graph can be expressed as: y = mx + b, where m is the slope (m) and b is the y-intercept (b) of the graph.

In the given image, the line intercepts the y-axis at 3, therefore the y-intercept of the graph is b = 3.

The slope of the graph (m) = change in y / change in x = (11 - 7)/(10 - 5)

m = 4/5

To write the equation of the relationship, substitute m = 4/5 and b = 3 into y = mx + b:

y = 4/5x + 3

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Answer:

8

8 2/3

Step-by-step explanation:

Answer:

x = -3 + √117

x = -3 - √117

Step-by-step explanation:

So the equation is x(x+6)=108

first you gotta simplify

x*x + x*6 = 108

x^2 + 6x = 108

x^2 + 6x - 108 = 0

using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a) with a=1, b=6 and c=-108

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

C. EFG

Step-by-step explanation:

ABC ≅ EFG

AB has the same value as EF

BC has the same value as FG

CA has the same value as GE

And one thing, even if 2 triangles are proportional like ABC and RST, if they're not congruent like ABC and EFG, then that's not the answer.

∆ABC ≅ ∆EFG (Option C) because it is congruent to ∆ABC based on the given information and the criteria for congruence between right triangles.

For the given options, triangle EFG is same as triangle ABC  and is therefore congruent to triangle ABC.

To show that two triangles are congruent, we need to establish that all corresponding sides and angles are equal. We can see that all the given options is a right triangle so, we can further investigate to verify the congruence.

Now, to find the triangle congruent to ∆ABC, we need to check the options where corresponding sides and angles are equal. For congruence between two right triangles, it is sufficient to prove that:

1. Both triangles have a right angle (which we already assumed).

2. The lengths of the two legs of the right triangles are equal.

3. The lengths of the hypotenuses of the right triangles are equal.

If all three conditions are met, the right triangles will be congruent by the Side-Angle-Side (SAS) congruence rule.

It is observed that all these conditions are satisfied by ∆EFG, making the two triangles identical in shape and size. Hence, ∆ABC ≅ ∆EFG (Option C).

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The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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The difference between the balance on the savings accounts due to the additional savings is D. $3,840.00

First, find the simple annual interest earned:

= Simple interest rate x Principal x number of years

= 1.7% x 3, 340 x 4

= $227.12

The total amount in the savings account at a savings rate of $172 per month is:

= Principal + Simple interest + total monthly deposit

= 3,340 + 227.12 + ( 172 x 12 months per year x 4 years)

= $11, 823.12

The total amount in the savings account at a savings rate of (172 + 80) per month is:

= 3,340 + 227.12 + ( (172 + 80) x 12 months per year x 4 years)

= 3,340 + 227.12 + ( 252 x 12 months per year x 4 years)

= $15, 663.12

The difference is:

= 15, 663.12 - 11, 823.12

= $3,840.00

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Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

$ 3125.00

Step-by-step explanation:

P=\(\frac{SI * 100 }{R*T}\)=

\(\frac{500*100 }{4*4}\) = \(\frac{50000}{16}\) = $3125.00

Answer:

To solve the equation:

2/3x - 1/5x = x - 1

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.

An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,

1.) The top three countries country A, country B, and country C won a total of 120 medals.

A + B + C = 120

2.) Country B won 11 more medals than country C

B = C + 11

3.) Country A won 38 more medals than the total amount won by the other two.

A = B + C + 38

A - 38 = B + C

Substitute the value of B+C form the last equation to the first equation,

A + A - 38 = 120

A = 79

Now, Substitue the value of A and B(from second equation)  in the first equation,

79 + C + 11 + C = 120

C = 15

Now, substitute the value of C in the second equation,

B = C + 11

B = 15 + 11

B = 26

Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.

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Answer:

27.70

Step-by-step explanation:

you have to do 87 divided by the pi you only have to do 3.14 as the pi.

Answer:

13 I think if i´m right please mark me brainliest please thank you and have a great day

Step-by-step explanation:

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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Answer:

x=2

Step-by-step explanation:

8 + x = 4x +2

Subtract 4x from both sides:

8 + x - 4x = 4x + 2 - 4x

Group like terms:

x - 4x + 8 = 4x + 2 -4x

Simplify the arithmetic:

-3x + 8 = 4x + 2 -4x

Group like terms:

-3 + 8 = 4x - 4x + 2

Simplify the arithmetic:

-3x + 8 = 2

Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.

To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.

Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.

So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:

According to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.

Note: This question is incomplete. Here is the complete information:

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The solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.

How to solve quadratic equation?

To solve the equation x²+8x-38=0, we can use the quadratic formula:

x = (-b ± sqrt(b²-4ac)) / 2a

Here, a=1, b=8, and c=-38. Substituting these values into the formula gives:

x = (-8 ± sqrt(8²-4(1)(-38))) / 2(1)

x = (-8 ± sqrt(324)) / 2

x = (-8 ± 18) / 2

So x is either -13 or 5.

To find the values of x in the form of X = a + b√c and X = a - b√c, we can use the following steps:

For X=a+b√c:

Let's assume that x = a + b√c, where a, b, and c are constants to be determined.

Substituting this into the original equation x²+8x-38=0, we get:

(a + b√c)² + 8(a + b√c) - 38 = 0

Expanding the square and simplifying, we get:

(a² + 2ab√c + b²c) + 8a + 8b√c - 38 = 0

Separating the real and imaginary parts, we get:

(a² + b²c + 8a - 38) + (2ab√c + 8b)√c = 0

Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.

First, setting the real part equal to zero gives:

a² + b²c + 8a - 38 = 0

This is a quadratic equation in a, so we can use the quadratic formula:

a = (-8 ± sqrt(8²-4(bc-38))) / 2

Simplifying this gives:

a = -4 ± sqrt(4+b(b-10))

Now, setting the imaginary part equal to zero gives:

2ab + 8b = 0

Solving for b, we get:

b = 0 or b = -4

If b = 0, then a² + b²c + 8a - 38 = a² + 8a - 38 = 0, which has roots a = -5 and a = 3. Therefore, the solution in this case is x = -5 or x = 3, which cannot be expressed in the form of X = a + b√c.

If b = -4, then a² + b²c + 8a - 38 = a² + 16c + 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:

a = -4 ± sqrt(102-4c)/2

Therefore, the solution in this case is x = (-4 + sqrt(102-4c))/2 - 4√c, which can be expressed in the form of X = a + b√c.

For X=a-b√c:

Using the same logic, we can assume that x = a - b√c, where a, b, and c are constants to be determined.

Substituting this into the original equation x²+8x-38=0, we get:

(a - b√c)² + 8(a - b√c) - 38 = 0

Expanding the square and simplifying, we get:

(a² + b²c - 8a - 38) + (-2ab√c - 8b)√c = 0

Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.

Setting the real part equal to zero gives:

a² + b²c - 8a - 38 = 0

This is a quadratic equation in a, so we can use the quadratic formula:

a = (8 ± sqrt(8²+4(bc+38))) / 2

Simplifying this gives:

a = 4 ± sqrt(4+b(b+10))

Setting the imaginary part equal to zero gives:

-2ab - 8b = 0

Solving for b, we get:

b = 0 or b = -4

If b = 0, then a² + b²c - 8a - 38 = a² - 8a - 38 = 0, which has roots a = -3 and a = 11. Therefore, the solution in this case is x = -3 or x = 11, which cannot be expressed in the form of X = a - b√c.

If b = -4, then a² + b²c - 8a - 38 = a² + 16c - 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:

a = 4 ± sqrt(102+4c)/2

Therefore, the solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.

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Answer:

Minor Arc: AE, FA

Semicircle: AEB, FDE

Major Arc: FED, BDF

Step-by-step explanation:

Required

Classify base on the type or arc

Keynote

Minor arcs are less than 180 degrees

Semicircle are equal to 180 degrees

Major arcs are less than 180 degrees

Using the above keynote, we have the following observation

AE: Minor

AEB: Semicircle

FDE: Semicircle

FED: Major

FA: Minor

BDF: Major

Answer:

B

Step-by-step explanation:

Clearly BD is shorter than AE so that is false.

BD is clearly on the opposite end of EC so it is not bisecting, as bisecting would be DE bisecting AC

AC has to be perpendicular to something to be a perpendicular bisector however it is a straight line.

Answer:

B

Step-by-step explanation:

Answer:

All parallelograms are rectangles.