The option (C) is correct. The equation of the circle with a center at (2,3) and a radius of 6 is:
Option (C) (x + 2)² + (y + 3)² = 36
For a circle with center (h, k) and radius r, the standard form of the circle equation is:(x - h)² + (y - k)² = r²
Here, the center is (2, 3) and the radius is 6. So, we substitute these values in the formula above to obtain the circle's equation:(x - 2)² + (y - 3)² = 6²
Expanding the equation will give us:(x - 2)² + (y - 3)² = 36
Therefore, option (C) is correct.
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help me pls i have the mind of a 6th grader lol
The equation used to find the answer is 26 -14 -6 =
what is an equation?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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Calculate the value of x. Round to the nearest tenth. F 7.8 24 14.8
In this problem bout segment has the same distance so we can write an equation like:
\(\begin{gathered} x+7=13+8 \\ x=21-7 \\ x=14\approx14.8 \end{gathered}\)So the answer is 14.8
The mean SAT score in mathematics is 492. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis H_0 and the alternative hypothesis H_1 that they would use. H_0: H_1:
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.
What is the null hypothesis and alternative hypothesis?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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Remember that the pracitioner got the correct answer 44% of the time. According to the null hypothesis, on average, what proportion of times do we expect the practitioner to guess the correct hand? Make sure your answer between 0 and 1. In [2]: N expected_correct = ... expected_correct In [3]: N ok.grade('93') The goal now is to see if our deviation from this expected proportion of correct answers is due to something other than chance. Question 4: What is a valid test statistic we can use to test our model? Assign valid_ts to a list of integers representing the following options: 1. The difference of the expected percent correct and the actual percent correct 2. The absolute difference of the expected percent correct and the actual percent correct 3. The sum of the expected percent correct and the actual percent correct There may be more than one correct answer. In [4]: valid_ts = ... valid_ts In [5]: N = ok.grade('94') Question 5: Define the function test_statistic which takes in an expected proportion and an actual proportion, and returns the value of the test statistic chosen above. Assume that you are taking in proportions, but you want to return your answer as a percentage. In [6]: N def test_statistic(expected_prop, actual_prop): In [7]: N = ok.grade('45') Question 6: Use your newly defined function to calculate the observed test statistic from Emily's experiment In [8]: N observed_test_statistic = ... observed_test_statistic In [9]: ok.grade('76)
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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Which of the following equations is equivalent to 3 • 12 = 36?
36 + 3 = 12
36 ÷ 3 = 12
36 • 3 = 12
36 – 3 = 12
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
Pls someone help me. I rlly need to get this done
Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50º, respectively. If Susan and Mark are 7 kilometers apart and the bird is between them, the bird is at a height of kilometers from the ground.
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
Can someone please tell me the answer! THANK YOU
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:
39.27 - 15.27 = 24 square units . Voila!Complete the Square:
5x^2+16x-40=8
(please show your steps)
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
Write four different equations that have –3 as the solution
1 + -4
2 + -5
3 + -6
4 + -7
Answer:
5 + -8
6 + -9
7 + -10
8 + -11
Step-by-step explanation:
State the domain of each function.
F(x)= 3x/x^2-5
Answer:
6
Step-by-step explanation:
Who sang Will the Circle Be Unbroken with the Nitty Gritty Dirt Band?
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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need these both solved pls nowww
The simplified rational expressions are given as follows:
\(\sqrt[5]{288 \times p^5 \times p^2} = 2p\sqrt[5]{9p^2}\)\((216r^{9})^{\frac{1}{3}} = 6r^3\)How to simplify the rational expressions?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:
3 x 1/3 = 1 -> 6¹.9 x 1/3 = 3 -> r³.Hence the simplified expression is of:
\((216r^{9})^{\frac{1}{3}} = 6r^3\)
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My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
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
In a Healthy Jogging event, a few hundred participants were expected to jog 7 800 000 metres altogether. They had jogged 25 000 metres in the first few minutes. How many thousands must be added to 25 000 to make 7 800 000?
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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As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.
The standard normal distribution becomes smaller.
What is standard deviation?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the 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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4.2...PLZZZZ I HAVE A 60 IN MATH HELP ME
Answer:
1:3
Step-by-step explanation:
It’s ratios.
A: 3
B: 9
36
129
C: x3
Solve the magic square
The value of x that solves the magic box is 39/7.
Describe Magic Box?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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— 2х + Зу = 6
solve for y
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
Match the following transportation characteristics with the appropriate mode of transportation Which mode of transportation has the most capability? Which mode of transportation provides the most accessibility? Which mode of transportation is the most reliable? Which mode of transportation is the fastest over a long distance? Which mode of transportation has the lowest per-unit cost? Water Air Rail 3PL Cross-Docking Truck Intermodal Pipeline 4 points Match the following descriptions with the appropriate transportation intermediary. What transportation intermediary consolidates LTL shipments into FTL shipments (i.e., they take small shipments from multiple companies and consolidate them into larger shipments)? What transportation intermediary is a nonprofit cooperative which arranges for members' shipments? What transportation intermediary brings shippers and carriers together? What transportation intermediary purchases blocks of rail capacity and sells it to shippers?
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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what is the f^-1(x) inverse of f(x)=x/6+3
5. From Mario's house to school, you can walk in a straight line. In the afternoon he has to stop twice on
his way home. His first stop is the gas station that is exactly halfway between the school and his
house. The second stop will be a fast-food restaurant to get something to eat. The fast-food
restaurant's location partitions the way from the school to Mario's house in the ratio 3.1. The
coordinate of his house are (-3, -4) and the school coordinates are (5,0).
a) Find the coordinate of the gas station.
b) What is the ratio where the gas station partitions the path school to home?
c) Find the coordinate of the fast-food restaurant.
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.
Study the following program:
x = 1 while True: if x % 5 = = 0: break print(x) x + = 1 What will be the output of this code?
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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Which relation is not a function?
please help!!
Answer:
I believe that it is c sorry if I'm wrong
How much liquids will the canna soda hold of food it is 6 inches tall and has a radius of 2 inches?( round to the nearest tenth)
A. 226.19 in.3
B. 12 in.³
C. 37.7 in.³
D. 75.4 in.³
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
There were 75 people at a concert. Twenty five percent of them were younger than 13. How many people were thirteen or younger.
Answer:
18
Step-by-step explanation:
\(0.25*75 = 18\\\) (must round down for population)
Find the product of the given polynomials. (5x + 5 - 2x) (4 + 7x -1)
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
can someone help me with this asap.
Answer:
fourth option
Step-by-step explanation:
Given
3x < - 9 ( divide both sides by 3 )
x < - 3
solution set is { x | x < - 3 }
Round 5.58 to the nearest tenth
5.58 rounded to the nearest tenth will be 5.60
find a vector equation for the line segment from (4, −3, 5) to (6, 4, 4). (use the parameter t.)
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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