Find two negative and three positive angles, expressed in radians, for which the point 1 13 the unit circle that correspond to each angle is (1/2, v3/2)

The double number line shows that the relationship between the number of apple pies and the kilograms of apples used is proportional, with 3.5 kg of apples needed per pie.

Based on the given information, a double number line can be created to represent the relationship between the number of apple pies and the kilograms of apples used.

Since 14 kilograms of apples make 4 apple pies, we can calculate the amount of apples needed per pie by dividing 14 by 4:

14 kg / 4 pies = 3.5 kg/pie

Using this value, we can create a double number line:

Apple Pies: 1 | 2 | 3 | 4 | 5 | 6 | ...
Apples (kg): 3.5 | 7 | 10.5 | 14 | 17.5 | 21 | ...

So, the double number line shows that the relationship between the number of apple pies and the kilograms of apples used is proportional, with 3.5 kg of apples needed per pie.

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Answer:

33 if you need to find the second number it is 8

Step-by-step explanation:

Answer:

33b²a

Step-by-step explanation:

3·b·11·a·b

33·b²·a

33b²a

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

250 cm

Step-by-step explanation:

volume=length*width*height

v=10*5*5

v=250

Answer:

yes distribute . . .

Step-by-step explanation:

the 6 to the 9 and the 4

6(9) - 6(4)=30

A. 40

B. 40

C. both companies' means are equal so it does not matter which one you choose

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side c

Using Pythagoras theorem we have

c² = b² + a²

where

c is the hypotenuse

So we have

\( {c}^{2} = {5}^{2} + {3}^{2} \\ c = \sqrt{ {5}^{2} + {3}^{2} } \\ c = \sqrt{ 25 + 9} \\ c = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.83095189...\)

We have the final answer as

Hope this helps you

The completely factored form of the polynomial is :\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)

To completely factor the polynomial \(\(12x^2 + 2x - 4\)\), we need to find expressions that can be multiplied together to obtain the given polynomial.

First, we can look for common factors. In this case, all the coefficients are divisible by 2, so we can factor out a 2:

\(\(2(6x^2 + x - 2)\)\)

Now, we focus on factoring the quadratic expression \(\(6x^2 + x - 2\)\). We need to find two binomials that, when multiplied, give us this quadratic.

To factor \(\(6x^2 + x - 2\)\), we look for two numbers whose product is equal to \(\(6 \times -2 = -12\)\) and whose sum is equal to the coefficient of the middle term, which is 1.

After trying different combinations, we find that the numbers 4 and -3 satisfy these conditions:

\(\(6x^2 + x - 2 = (2x + 4)(3x - 1)\)\)

Putting it all together, the completely factored form of the polynomial is:

\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)

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a. The line of the best fit is ŷ = -8.55485X + 118.39451.

b. The value of the correlation coefficient is  -0.8619.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Sum of X = 117.4

Sum of Y = 298

Mean X = 10.6727

Mean Y = 27.0909

The sum of squares (SSX) = 0.8618

The sum of products (SP) = -7.3727

Regression Equation = ŷ = bX + a

b = SP/SSX = -7.37/0.86 = -8.55485

a = MY - bMX = 27.09 - (-8.55*10.67) = 118.39451

ŷ = -8.55485X + 118.39451

X Values

∑ = 117.4

Mean = 10.673

∑(X - Mx)² = SSx = 0.862

Y Values

∑ = 298

Mean = 27.091

∑(Y - My)² = SSy = 84.909

X and Y Combined

N = 11

∑(X - Mx)(Y - My) = -7.373

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -7.373 / √((0.862)(84.909)) = -0.8619

Therefore, the line of the best fit is ŷ = -8.55485X + 118.39451

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The probability

a) All three cards are aces is: P(all three cards are aces) = 4/22,100 ≈ 0.000181

b)  All three cards are black is: P(all three cards are black) = 2,600/22,100 ≈ 0.117647

c) all three cards are spades is:  P(all three cards are spades) = 286/22,100 ≈ 0.012959

(a) To find the probability that all three cards are aces, we need to divide the number of ways in which we can select three aces by the total number of ways to select any three cards from the deck. There are 4 aces in the deck, so the number of ways to select three aces is given by:

C(4,3) = 4

where C(n,r) denotes the number of combinations of r objects chosen from a set of n distinct objects.

The total number of ways to select any three cards is given by:

C(52,3) = (52 * 51 * 50) / (3 * 2 * 1) = 22,100

Therefore, the probability that all three cards are aces is:

P(all three cards are aces) = 4/22,100 ≈ 0.000181

(b) To find the probability that all three cards are black, we need to divide the number of ways in which we can select three black cards by the total number of ways to select any three cards from the deck. There are 26 black cards in the deck (13 clubs and 13 spades), so the number of ways to select three black cards is given by:

C(26,3) = (26 * 25 * 24) / (3 * 2 * 1) = 2,600

Therefore, the probability that all three cards are black is:

P(all three cards are black) = 2,600/22,100 ≈ 0.117647

(c) To find the probability that all three cards are spades, we need to divide the number of ways in which we can select three spades by the total number of ways to select any three cards from the deck. There are 13 spades in the deck, so the number of ways to select three spades is given by:

C(13,3) = (13 * 12 * 11) / (3 * 2 * 1) = 286

Therefore, the probability that all three cards are spades is:

P(all three cards are spades) = 286/22,100 ≈ 0.012959

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Answer:

1 2 3 6 9 and 18

Step-by-step explanation:

the 111 factors of 18 is 1 2 3 6 9 ang 18

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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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Of the following, examples of an independent agency is securities and exchange commission.

Independent agencies are agencies of the United States federal government that exist outside the federal executive departments and the Executive Office of the President. The term refers to independent agencies that are considered part of the executive branch but have regulatory or rulemaking authority assigned by the Congress and are separated from presidential control as the president's power to dismiss the agency head or a member is limited. The Securities and Exchange Commission (SEC) is an independent agency which was established to protect investors who buy stocks and bonds with the powers to prevent or punish fraud in the sale of securities and is authorized to regulate stock exchanges.

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Answer:

14k-8

Step-by-step explanation:

8k - 2(4-3k)

distributive property

8k - 8  + 6k

add like terms

8k + 6k -8

14k - 8

14k - 8

If anyone will look for the value of k, k is 4/7 btw but the answer to simplify the expression would be 14k-8.

Answer

14k-8

Step-by-step explanation:

combine like terms

Answer:

The measure of the interior angle C is \(108^{o}\).

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = \(720^{o}\)

Sum of angles in a hexagon = \(720^{o}\)

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = \(720^{o}\)

15x + 135 = \(720^{o}\)

15x = \(720^{o}\) - 135

15x = 585

x = \(\frac{585}{15}\)

  = \(39^{o}\)

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = \(108^{o}\)

The measure of the interior angle C is \(108^{o}\).

Answer:

Step-by-step explanation:

If point P is in the interior of ∠OZQ, then ∠OZQ = ∠OZP+∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, to get m∠PZQ, we will substitute the value of the angles given into the expression above as shown;

∠OZQ = ∠OZP+∠PZQ.

125 = 62 + ∠PZQ.

subtract 62 from both sides;

125 - 62 = 62 + ∠PZQ -62

63 = ∠PZQ

Hence the angle  m∠PZQ is 63°

Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:

\(7.1 < t < 7.7\)

\(a < x < b\)

In this problem:

Then, the inequality is:

\(7.1 < t < 7.7\)

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177.8 centimeters.

The shortest distance between the tip of the cone and its rim:

cos θ= base/Hypotenuse

cos 77°=\(\frac{40}{H}\)

\(0.22495=\frac{40}{H}\)

\(H=177.8\)

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The shortest distance between the tip of the cone and its rim exits 51.11cm.

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

\($\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x\)

\($\cos \left(38.5^{\circ}\right) x=40\)

Divide both sides by \($\cos \left(38.5^{\circ}\right)$\)

\($\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}\)

simplifying the above equation, we get

\($x=\frac{40}{\cos \left(38.5^{\circ}\right)}\)

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

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Answer:

y = m(x) + t

Step-by-step explanation:

Pretty sure this is the right answer...

Hope this helps! :D

Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

The equation x^2 + 2x - 8 = 0 implies the equation x^2 + 2x + 1 = 9, and vice versa.

To solve the quadratic equation x^2 + 2x - 8 = 0, we can use the method of completing the square. Adding 9 to both sides of the equation, we get x^2 + 2x + 1 = 9. This step allows us to create a perfect square trinomial on the left side.

Next, we can rewrite the left side of the equation as (x + 1)^2 = 9, applying the binomial formula (x + a)^2 = x^2 + 2ax + a^2. In this case, we choose a = 1.

Taking the square root of both sides, we have x + 1 = ±√9, which simplifies to x + 1 = ±3. By solving for x, we find two possibilities: x = 2 and x = -4.

Therefore, the solutions to the quadratic equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.

In summary, the equation x^2 + 2x - 8 = 0 implies the equation x^2 + 2x + 1 = 9, and the solutions to the original equation are x = -4 and x = 2. By completing the square, we transformed the given quadratic equation into an equivalent form that allowed us to find the solutions accurately.

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There are 46 students don't drink soda.

Let's use a Venn diagram to represent the information given in the problem:

                         Athletes

                          /        \

                         /          \

          Soda     /            \    No Soda

                       /              \

                      /                \

                     /                  \

       ----------------------------------------------

      |                                              |

      |                                              |

      |                                              |

Drink                                      No Drink

      |                                              |

      |                                              |

      |                                              |

       ----------------------------------------------

      |                                              |

      |                                              |

      |                                              |

     19                                            24

      |                                              |

      |                                              |

      |                                              

    ----------------------------------------------

      |                                              |

      |                                              |

      |                                              |

     33                                             10

      |                                              |

      |                                              |

      |                                              |

    ----------------------------------------------

      |                                              |

      |                                              |

      |                                              |

     24                                             22

      |                                              |

      |                                              |

      |                                              |

       ----------------------------------------------

The diagram, we can see that there are 24 students who drink soda and are athletes, 19 who drink soda but are not athletes, 33 who are not athletes but drink soda, and 22 who are neither athletes nor soda drinkers.

The number of students do not drink soda, we need to add the number of students who are athletes but do not drink soda to the number of students who are neither athletes nor soda drinkers:

Number of students who don't drink soda

= Number of athletes who don't drink soda + Number of students who are neither athletes nor soda drinkers

Number of athletes who don't drink soda = Total number of athletes - Number of athletes who drink soda = 43 - 19 = 24

Number of students who are neither athletes nor soda drinkers = 22

The number of students who don't drink soda is:

Number of students who don't drink soda = 24 + 22 = 46.

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The minimum distance the annihilation event could have occurred from the center of the machine is approximately 98.94 nanometers.

To determine the minimum distance the annihilation event could have occurred from the center of the machine, we can use the speed of light as a constant and the time difference between the collisions of the gamma rays.

The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

Since the time difference between the collisions of the gamma rays is given as 0.33 nanoseconds, we need to convert this time to seconds. One nanosecond is equal to 1 × 10⁻⁹seconds.

0.33 nanoseconds is equal to 0.33 × 10⁻⁹ seconds.

Now, we can calculate the minimum distance using the equation:

Distance = Speed of light × Time

Distance = 299,792,458 m/s × 0.33 × 10⁻⁹ seconds

Distance ≈ 98.94 nanometers

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Answer:

320 pound

Step-by-step explanation:

Ratio is decently easy after u understand the concept

So... This is what the question gave

Jupitar : earth

8 : 3

In other words, if u weigh 8 pound on Jupitar, u would weigh 3 pounds on earth

Therefore now they say on earth, the person weighs 120 pound, so let's just put in this value

Jupitar : earth

8 : 3

? : 120

Now its called ratio bcuz the increase at the same pace

So now look at the earth part, u got to find out how did 3 become 120, so just divide them

120/3 = 40 , so 3 x 40 = 120

So if they multiplied the right ( earth) by 40, u do the exact same on the left ( Jupitar)

8 x 40 = 320

Thats your answer my friend

The domain and range need to be determined for a given relation, and it will be determined whether the relation represents a function.

To determine the domain and range of a relation, we need to examine the set of inputs (domain) and the set of corresponding outputs (range). The domain is the set of all possible input values for which the relation is defined, while the range is the set of all possible output values that result from the given inputs.

In the context of determining whether the relation represents a function, we need to ensure that each input value from the domain corresponds to a unique output value. If there is any input value that produces multiple output values, the relation is not a function.

To determine the domain, we examine the set of all valid input values. This can be based on restrictions or limitations stated in the problem or the nature of the relation itself. The range, on the other hand, is determined by observing the set of all output values that result from the given inputs.

Once the domain and range are determined, we can check if each input in the domain corresponds to a unique output in the range. If every input has a unique output, the relation represents a function. If there is any input that maps to multiple outputs, the relation does not represent a function.

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(a) To show that the problem RELATED = {〈M1, M2〉 | h(M1) ∩ h(M2) 6= ∅} is Turing recognizable, we need to construct a Turing machine that recognizes this language.

We can design a Turing machine T that takes as input the description of two Turing machines, M1 and M2. T simulates the computation of both M1 and M2 on all possible inputs in parallel. If it finds an input w on which both M1 and M2 halt, it accepts the input 〈M1, M2〉; otherwise, it continues simulating indefinitely.

Since the computation of T will eventually halt and accept if 〈M1, M2〉 is in RELATED, and it may run indefinitely if 〈M1, M2〉 is not in RELATED, the language RELATED is Turing recognizable.

(b) To show that the problem RELATED is undecidable, we can reduce the halting problem H to RELATED. We assume that H is undecidable, which means there is no Turing machine that can decide whether an arbitrary Turing machine halts on a given input.

We define a mapping reduction f from H to RELATED as follows:

Given an input 〈M, w〉 for the halting problem H, we construct an input 〈M', M〉 for the RELATED problem, where M' is a new Turing machine defined as follows:

M' = "On input x:

Simulate M on w.

If M halts on w, accept."

We can see that if M halts on w, then M' halts on all inputs, and therefore, h(M') is the set of all possible inputs. If M does not halt on w, then M' does not halt on any input. Thus, h(M') = ∅.

Now, we can see that 〈M, w〉 is in H if and only if 〈M', M〉 is in RELATED, as the intersection of h(M') and h(M) is non-empty if and only if M halts on w.

Therefore, by constructing the mapping reduction f from H to RELATED, we have shown that if RELATED were decidable, then H would also be decidable, which contradicts the assumption that H is undecidable. Hence, RELATED is undecidable.

(c) In this context, A represents the halting problem H, which is the problem of determining whether a Turing machine halts on a given input. B represents the problem RELATED, which is the problem of determining whether two Turing machines have a non-empty intersection in terms of the inputs on which they halt.

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im positive the answer is x<3

We can calculate the line equation with two points the following manner:

For problem 19, we have:

For problem 20, we have:

For problem 21 and 22, we have to graph the equations, to do that we need to find two points on the line.

For problem 21, we can choose x = 2 and x = 3 and found the respective y-value:

With the points (2, -3) and (3, -1) we can graph the line: