what is the radius of the circle

A box of truffles costs $4.00 each

A box of peanut brittle costs $4.00 each

What is the algebra of equation?

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.

Here, we

Let t = boxes of truffles and p = peanut brittle

53t + 54p = 428...(1)

67t + 54p = 484...(2)

On solving equations (1) & (2), we get

14t = 56

t = 4

53t + 54p = 428

53(4) + 54p = 428

212 + 54p = 428

54p = 216

p = 4

Hence,

A box of truffles costs $4.00 each

A box of peanut brittle costs $4.00 each

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Answer:

I think the answer is J

Step-by-step explanation:

Answer:

-3 < x < 7

Step-by-step explanation:

The domain of a graph is all of the x-values that are included in the function. Since the graph is continuous (one connected line), you can determine the domain by identifying the x-values associated with the line's endpoints. These values are x = -3 and x = 7. Remember, the x-value located on a closed dot is not included in the domain. Therefore, the domain of the graph is -3 < x < 7.

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

\(b^{2}-4ac\)

Every quadratic formula has the structure:

\(ax^{2} +bx+c=0\)

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

\(x^{2} +45x+200=0\)

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

\((45)^{2} -4(1)(200)\)

Solve:

\(2025-800=1225\)

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

\(x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}\)

(Same discriminant value)

\(x=\frac{-45+/-35}{2}\)

Now to find the two solutions, we use both signs in the equation. Solution 1:

\(x=\frac{-45+35}{2}\)

\(x=\frac{-10}{2}=-5\)

Our first solution is -5, now for the second:

\(x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40\)

The two solution to this equation are -5 and -40.

Hope this helped!

The average rate of change is the slope of the line between the points

     ( -4, f(-4) ) and ( 4, f(4) )

f(-4) = 16 + 40 + 5 = 61

f(4) = 16 - 40 + 5 = 19

The slope (AKA average rate of change) is then

    \(m =\dfrac{19-61}{4-(-4)}=\dfrac{-42}{8} = -\dfrac{21}{4}\)

The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The person who starts Priya does not always win, but rather the outcome depends on whether the total number of players is even or odd.

Let's record the game on paper for different numbers of players and see if the person who starts always wins.

Case 1: Two Players (Priya and Jada)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Priya is the winner. The person who starts (Priya) wins.

Case 2: Three Players (Priya, Jada, and Han)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Round 3: Han says SAFE.

Priya is the winner. The person who starts (Priya) wins.

Case 3: Four Players (Priya, Jada, Han, and Diego)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Round 3: Han says SAFE.

Round 4: Diego says OUT and leaves the circle.

Priya is the winner. The person who starts (Priya) wins.

From these examples, we can see that when the number of players is even, the person who starts always wins.

To find more numbers where the person who starts always wins, let's consider some additional cases:

Case 5: Six Players (Priya, Jada, Han, Diego, Alex, and Mia)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Round 3: Han says SAFE.

Round 4: Diego says OUT and leaves the circle.

Round 5: Alex says SAFE.

Round 6: Mia says OUT and leaves the circle.

Priya is the winner. The person who starts (Priya) wins.

Case 6: Eight Players (Priya, Jada, Han, Diego, Alex, Mia, Ethan, and Lily)

Round 1: Priya says SAFE.

Round 2: Jada says OUT and leaves the circle.

Round 3: Han says SAFE.

Round 4: Diego says OUT and leaves the circle.

Round 5: Alex says SAFE.

Round 6: Mia says OUT and leaves the circle.

Round 7: Ethan says SAFE.

Round 8: Lily says OUT and leaves the circle.

Priya is the winner. The person who starts (Priya) wins.

Based on these examples, we can observe that when the number of players is a multiple of 2, the person who starts always wins. There seems to be a pattern here: if the number of players is even, the starting person wins, while if the number of players is odd, the starting person loses.

Therefore, the person who starts does not always win, but rather the outcome depends on whether the total number of players is even or odd.

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Answer:

 its a geometric sequence where each term is 3 times the previous term.

Step-by-step explanation:

{2,6,18,54,162,486,1458...}

Kuo's research emphasizes the role of learning in shaping an animal's behavior and highlights the importance of early experiences in shaping social behavior. This research has important implications for the fields of biology, animal behavior, and animal welfare.

Biologist Zing Yang Kuo's research demonstrated that a cat raised from birth with a rat in the same cage would not attack that specific rat or other rats. This research suggests that the cat's behavior towards rats is learned and not solely based on instinct. The results of this study have implications for understanding the role of early experiences in shaping an animal's behavior towards other species.

The study highlights the importance of socialization in shaping an animal's behavior. Animals raised in isolation from their own species may exhibit abnormal behaviors and may not develop appropriate social skills. In the case of the cat raised with the rat, the presence of the rat from an early age prevented the cat from perceiving the rat as prey.

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Answer: C

Step-by-step explanation:  8.95x2=17.9,  3/4x12.80=9.6,  17.9+9.6+5.85=33.35. 33.35+1.65=35

There are 210 ternary strings with exactly seven 0's, five 1's, and four 2's.

To solve this problem, we can use the formula for combinations. The total number of strings is the number of ways we can arrange all 16 digits, which is 16!. However, since there are 7 identical 0's, 5 identical 1's, and 4 identical 2's, we must divide by the number of ways to arrange those identical digits. This gives us:

16! / (7!5!4!) = 51,090,480 / (5,040 * 120) = 210

Therefore, there are 210 ternary strings with exactly seven 0's, five 1's, and four 2's.

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Answer: 54

Step-by-step explanation:

The value of m ∠C will be;

⇒ m ∠C = 54°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In △ABC , m ∠A= 37° and m ∠B = 89° .

Now,

Since, In △ABC ,

⇒ m ∠A= 37° and m ∠B = 89°

We know that;

⇒ m ∠A + m ∠B + m ∠C = 180°

⇒ 37° + 89° + m ∠C = 180°

⇒ 126° + m ∠C = 180°

⇒ m ∠C = 180° - 126°

⇒ m ∠C = 54°

Thus, The value of m ∠C will be;

⇒ m ∠C = 54°

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Answer:

Hello,

Answer D

Step-by-step explanation:

\(x=ln(7.2)\\\\\Longleftrightarrow\ e^{x}=e^{ln(7.2)}\\\\\Longleftrightarrow\ e^{x}=7.2\\\\Answer\ D\)

The estimated mean amount of money spent per household on internet service each month is $59.95 with confidence interval.

To calculate the estimated mean amount of money spent per household on internet service each month, we first need to find the lower and upper bounds of the confidence interval. The lower bound is $47.45 and the upper bound is $72.45. We then take the average of these two numbers to get the estimated mean. The average of $47.45 and $72.45 is

($47.45 + $72.45) / 2

= $59.95.

Therefore, the estimated mean amount of money spent per household on internet service each month is $59.95.

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Answer:

A and C

Step-by-step explanation:

the guy above me is right : )

A simulation for the given scenario using a standard deck of playing cards would be,

Draw a card from a deck of standard playing cards three times, with face cards representing those who prefer a comedy and the other cards representing those who prefer an action movie.

According to the question,

A cable channel survey showed

on Saturday night subscribers preferred watching a comedy = 50%

subscribers preferred watching a Action = 50%

We need to design the scenario using a standard deck of playing cards

In a playing cards sets,

50% of playing cards set =  subscribers preferred watching a comedy

& rest 50% of playing cards set = subscribers preferred watching Action

But we want to estimate the probability that exactly two of three randomly picked subscribers prefer watching action movie on a Saturday night,

Here, the face cards are 12 in number out of 52.

So, there are 40 number cards.

So, the probability of a number card occurring is more.

So, as it is to be estimated that 2 out of 3 people prefer to watch action movie

This means, Draw a card from a deck of standard playing cards three times, with face cards representing those who prefer a comedy and the other cards representing those who prefer an action movie.

Hence a simulation for the given scenario using a standard deck of playing cards would be,

Draw a card from a deck of standard playing cards three times, with face cards representing those who prefer a comedy and the other cards representing those who prefer an action movie.

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You can see from the graph, the sequence oscillates between -1 and 1. This oscillation does not dampen as n approaches infinity, which means that the sequence does not have a limit.

The limit superior of the sequence is 1. This is because for any positive integer n, we have

Code snippet

a_n = ((−1)^n) / (n+1) <= 1 / (n+1)

Use code with caution. Learn more

As n approaches infinity, the right-hand side approaches 0, which means that the limit superior of the sequence is 1.

The limit inferior of the sequence is -1. This is because for any positive integer n, we have

Code snippet

a_n = ((−1)^n) / (n+1) >= -1 / (n+1)

Use code with caution. Learn more

As n approaches infinity, the right-hand side approaches 0, which means that the limit inferior of the sequence is -1.

The limit of the sequence does not exist. This is because the limit superior and limit inferior are different. In fact, the limit superior is strictly greater than the limit inferior. This means that the sequence does not have a single limit as n approaches infinity.

Here is a graph of the sequence:

Code snippet

import matplotlib.pyplot as plt

x = range(1, 100)

y = [(-1)**n / (n+1) for n in x]

plt.plot(x, y)

plt.xlabel('n')

plt.ylabel('a_n')

plt.show()

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As you can see from the graph, the sequence oscillates between -1 and 1. This oscillation does not dampen as n approaches infinity, which means that the sequence does not have a limit.

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Answer:

m = 12

Step-by-step explanation:

\(-\frac{m}{3} =-4\\\)

→ Multiply both sides by 3

\({-m} =-12\\\)

→ Multiply both sides by -1

m = 12

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Answer:

Step-by-step explanation:

Original 873  New 781

The new went down by about 10.5%

873*10.5%= 91.67

873-91.67= 781.33

It decreased 10.5%

Answer:

y=3/4x-2

Step-by-step explanation:

two points from graph (0-2) and (8,4)

find slope m: y2-y1/x2-x1

m=4+2/8-0

m=6/8=3/4

x=0 then y=b=-2

y=3/4x-2

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The sample mean variance of the continuous distribution will be 0.3428.

The population variance is equal to the sample size divided by the variance of the sampling distribution of the mean.

14 is the greatest and 1 is the smallest value in a uniform continuous distribution.

36-size samples are taken from the distribution.

Now,

Variance among the population = 14 – 2 = 12

The sample size is 36.

Given that the sample means' variance is defined as;

= Variation in the population / Sample Size

If you replace all the values, you get;

= 12 / 35

= 0.3428

As a result, the sample mean variance will be 0.3428.

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Answer:

A. Line segment.

Step-by-step explanation:

A straight path with 2 endpoints is a line segment. Line segments Are lines that stretch out but stop at a certain point.

hope this helps.

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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Answer:

B). 55

Step-by-step explanation:

125 degree angle and angle x are supplementary.

Answer:

The difference between 15 and 11 is 4.

So, 3 times the difference of 15 and 11 is 3 x 4 = 12.

Therefore, 48 divided by 12 is 4.

So the answer is 4.

The answer is:

Work/explanation:

The difference of 15 and 11 means you subtract 15 and 11.

You get:

15 - 11

which is 4.

Now, 3 times that is: 3(15 - 11).

which is 3 times 4, which is 12.

Finally, we divide 48 by all this.

\(\bf{\dfrac{48}{3(15-11)}}\)

which is 4.

if you evaluate you get 4.

If the player do not know exactly how many times the game will be repeated the maximum level of probability can be predicted through Nash equilibria.

The concept, Nash equilibrium in game theory where the optimal outcome is when there is no incentive for players to deviate from their initial strategy. The players have knowledge of their opponent’s strategy and still will not deviate from their initial chosen strategies because it remains the optimal strategy for each player. Overall, an individual can receive no incremental benefit from changing actions, assuming that other players remain constant in their strategies. A game may have multiple Nash equilibria or none at all. The Nash equilibrium is a decision making theorem within game theory that states a player can achieve the desired outcome by not deviating from their initial strategy.

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