can
someone help me with these?
1. Identify the equation of a circle with a center at \( (2,3) \) and a radius of 6 . (A) \( (x+2)^{2}+(y+3)^{2}=6 \) (B) \( (x-2)^{2}+(y-3)^{2}=6 \) (C) \( (x+2)^{2}+(y+3)^{2}=36 \) (D) \( (x-2)^{2}+

Answer:

I believe that it is c sorry if I'm wrong

Thus,  the vector equation for the line segment is: r(t) = (4, -3, 5) + t(2, 7, -1), 0 ≤ t ≤ 1

To find the vector equation for the line segment from (4, -3, 5) to (6, 4, 4), we need to first find the direction vector and the position vector.

The direction vector is the difference between the two points:
(6, 4, 4) - (4, -3, 5) = (2, 7, -1)

Next, we need to choose a point on the line to use as the position vector. We can use either of the two given points, but let's use (4, -3, 5) for this example.

So the position vector is:
(4, -3, 5)

Putting it all together, the vector equation for the line segment is:
r(t) = (4, -3, 5) + t(2, 7, -1), 0 ≤ t ≤ 1

This equation gives us all the points on the line segment between the two given points. When t = 0, we get the starting point (4, -3, 5), and when t = 1, we get the ending point (6, 4, 4).

Any value of t between 0 and 1 gives us a point somewhere on the line segment between the two points.

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The null hypothesis that will be used by the founders of the SAT preparation course would use by virtue of the description is; H_0; mean = 492 while the alternative hypothesis H_1; mean > 492.

Null and alternative hypotheses are statistical terms used in hypothesis testing of data. It therefore follows that the null hypothesis of such a test always predicts no effect or no relationship between variables, while the alternative hypothesis on the other hand states one's research prediction of an effect or relationship.

It therefore follows from the paragraph above that the alternative hypothesis is described by the statement that the mean score is greater than 492.

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Answer:

B

Step-by-step explanation:

36 ÷ 3 = 12 is basically the division version of the original equation. None of the other equations equal the same answer so B is the correct option.

36 ÷ 3 = 12 is equivalent to 3 • 12 = 36

Answer:

V = D. 75.4 in.³   (Answer D)

Step-by-step explanation:

The can volume is V = πr²h, which in this particular case is

V = π(2 in)²(6 in), or

V = D. 75.4 in.³   (Answer D)

Answer:

D

Step-by-step explanation:

(3.14x2^2)(6)=75.36

The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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Answer:

20 hours

Step-by-step explanation:

Computer download=5 hours

Computer + Extra processor=4 hours

Computer's rate =1/5 per hour

Computer + extra processor rate=1/4 per hour

Extras processor rate=1/x

Where,

x=how long it takes extra processor to get the job done on its own.

To find x, we have to solve the equation

1/5 + 1/x = 1/4

Subtract 1/5 from both sides

1/5 + 1/x -1/5 = 1/4-1/5

1/x=1/4-1/5

1/x = 5-4/20

1/x = 1/20

Cross product

1(20)=x(1)

20=x

x=20 hours

It would have taken the new extra processor alone 20 hours to download the movie

Answer:

1:3

Step-by-step explanation:

It’s ratios.

A: 3

B: 9

   36

   129

C: x3

1 + -4

2 + -5

3 + -6

4 + -7

Answer:

5 + -8

6 + -9

7 + -10

8 + -11

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

\(0.25*75 = 18\\\) (must round down for population)

Answer:

6

Step-by-step explanation:

The simplified rational expressions are given as follows:

The first rational expression is given as follows:

\(\sqrt[5]{288p^7}\)

The number 288 can be simplified as follows:

\(288 = 2^5 \times 3^2\)

\(p^7\), can be simplified as \(p^7 = p^5 \times p^2\), hence the simplified expression is given as follows:

\(\sqrt[5]{2^5 \times 3^2 \times p^5 \times p^2} = 2p\sqrt[5]{9p^2}\)

(as we simplify the exponents of 5 with the power)

The second expression is given as follows:

\((216r^{9})^{\frac{1}{3}}\)

We have that 216 = 6³, hence we can apply the power of power rule to obtain the simplified expression as follows:

Hence the simplified expression is of:

\((216r^{9})^{\frac{1}{3}} = 6r^3\)

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The equation used to find the answer is 26 -14 -6 =

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

number of flowers picked by the girl = 14

number of flowers already with her = 6

number of flowers picked by her grand mother = 26

so her grandmother picked 26 - 14 - 6 flowers more than her. so then equation becomes 26 -14 -6 = ?

In conclusion, the equation that best describes the above is 26 -14 -6 = ?

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we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

Answer:

A. 1.95

Step-by-step explanation:

PLATO

Answer:  approximately 24 square units in the shaded areas

Step-by-step explanation:  

The area of the entire dark circles will be for each πr², then divided by 2 to get the area of the semicircles created on the sides of the triangles:

16π + 9π = 25π   Half that times value for pi

≈ 39.2699  is the area of the dark semicircles. Round to 39.27

Now the fun! Find the area of the parts subtracted by the light semicircle:

The area of the entire circle is 25π  or about 78.54. The triangle is half of an inscribed rectangle, 6×8, so 48.  Subtracted from the circle leaves about 30.54 in the four slices between the arcs of the circumference and the perimeter of the rectangle. We are concerned with only half of the slices, so we will subtract 15.27

Area of the dark semicircles minus the area of the light slices will leave the area of the shaded crescents:

Answer:

y = 2/3x+3

Step-by-step explanation:

-2x+3y=6

you add 2x to the other side 3y=2x+6

and divide by 3

y = 2/3x+2

Answer:

a) the coordinates of the gas station are (1, -2)        

b) 1 : 2 ratio, since the gas station is exactly at the middle.

c) the coordinates of the fast food restaurant are (3, -1)

On the attached graph, you will find Mario's house and school, plus the gas station and fast food restaurant.

In this problem bout segment has the same distance so we can write an equation like:

So the answer is 14.8

Answer:

Step-by-step explanation:

divide through by the coefficient of \(x^{2}\)

\(\frac{5x^{2} }{5}\) + \(\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}\)

\(x^{2} +\frac{16}{5}x -8 =\frac{8}{5}\)

\(x^{2} +\frac{16}{5} x = \frac{8}{5} +8\)

\(x^{2} + \frac{16}{5} x =\frac{48}{5}\)

Add half of the square of the coefficient of x  to both sides \((\frac{1}{2} X \frac{16}{5} ) ^{2}\)

\(x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =\) \(\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}\)

\(x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}\)

\((x +\frac{16}{10})^{2} =\frac{304}{25}\)

\(x +\frac{16}{10} =\)±\(\sqrt{\frac{304}{25} }\)

\(x = -\frac{16}{10}\) ± \(\sqrt{\frac{304}{25} }\)

\(x=-\frac{16}{10} + \sqrt{\frac{304}{25} }\) or\(-\frac{16}{10} - \sqrt{\frac{304}{25} }\)

\(x = 1.89\) or -5.09

The value of x that solves the magic box is 39/7.

A magic box is a type of matrix in mathematics that is often used in magic tricks and puzzles. The box is typically square, and each cell in the box contains a number. The magic box is called a magic box because the sum of the numbers in each row, each column, and each diagonal is always the same. This sum is known as the "magic constant" or "magic number."

To create a magic box, one can start with the number 1 in the center cell of the top row, and then fill in the remaining cells by moving diagonally up and to the right when a cell is occupied, or straight down when the cell is empty. This results in a box with the numbers arranged in a symmetrical pattern.

Magic boxes can be used in puzzles or as a tool for teaching mathematical concepts such as symmetry and pattern recognition. They can also be used to create interesting magic tricks, as the consistent sum of the rows, columns, and diagonals can be used to create surprising results.

To find the sum of the magic box, we add up all the terms in the box. In this case, the sum is:

3x + 2x - 5 + x - 10

Simplifying the expression, we combine like terms:

6x - 15

Therefore, the sum of the magic box is 6x - 15.

To solve the magic box, we need to find the value of each variable that makes the equation true. We can use algebraic manipulation to do this.

Starting from the top left of the magic box, we have:

3x

Moving to the top right of the magic box, we have:

x

Moving to the bottom left of the magic box, we have:

2x - 5

Finally, moving to the bottom right of the magic box, we have:

x - 10

Putting all of this together, we have the following equation:

3x + x + 2x - 5 + x - 10 = 24

Simplifying the left side of the equation, we combine like terms:

7x - 15 = 24

Adding 15 to both sides of the equation, we get:

7x = 39

Dividing both sides by 7, we get:

x = 39/7

Therefore, the value of x that solves the magic box is 39/7.

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The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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Answer:

21x2 +44x +15

Step-by-step explanation:

20x + 35x2 - 5x + 20 + 35x - 5 - 8x - 14x2 +2x

35x2-14x2 +20x-5x+35x-8x+2x +15

21x2 +44x +15

Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.

To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.

The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.

The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.

Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.

The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.

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The most famous version of the song was recorded by the Nitty Gritty Dirt Band. "Will the Circle Be Unbroken" is a traditional Christian hymn that has been recorded by many artists over the years.

However, the most famous version of the song was recorded by the Nitty Gritty Dirt Band in 1972 as a collaborative project that featured a wide variety of country, bluegrass, and folk musicians, including legends such as Mother Maybelle Carter, Earl Scruggs, and Doc Watson. The three-disc album was a critical and commercial success and helped to popularize traditional country and bluegrass music among a wider audience. The Nitty Gritty Dirt Band's rendition of "Will the Circle Be Unbroken" remains a beloved classic in the history of American music.

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Test statistic = 6%

According to the null hypothesis, we expect the practitioner to guess the correct hand with a probability of 50% (or 0.5).

A valid test statistic we can use to test our model is the absolute difference of the expected percent correct and the actual percent correct (option 2).

To define the function test_statistic, we can calculate the absolute difference between the expected proportion and the actual proportion, and then multiply by 100 to convert to a percentage.

To calculate the observed test statistic from Emily's experiment, we need to input the expected proportion of 0.5 (as per the null hypothesis) and the actual proportion of 0.44. The observed test statistic would be the absolute difference between these two proportions, multiplied by 100.

So, we can define the function as follows:

```python
def test_statistic(expected_prop, actual_prop):
   return abs(expected_prop - actual_prop) * 100
```

And to calculate the observed test statistic, we can call the function with expected_prop = 0.5 and actual_prop = 0.44:

```python
observed_test_statistic = test_statistic(0.5, 0.44)
```

This gives us an observed test statistic of 6%.

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Answer:

fourth option

Step-by-step explanation:

Given

3x < - 9 ( divide both sides by 3 )

x < - 3

solution set is { x | x < - 3 }

5.58 rounded to the nearest tenth will be 5.60