Re-write the quadratic function below in Standard Form y = −2(x−6)(x−2)

(12x +15)°=75° .…(शिर्षभिमुख कोण भएर)

or, 12x+15=75

or, 12x=75-15

or, 12x=60

or, x=60÷12

or, x=5

(6y-27)°=105° .…(शिर्षभिमुख कोण भएर)

or, 6y-27=105

or, 6y=105+27

or, 6y=132

or, y=132÷6

or, y=22

Answer:

 9 - 4x = 9

Step-by-step explanation:

Hope it Helps

The formal description for the NFA that recognizes Ck is as follows:

M = ({q₀, q₁, q₂, q₃,…qk}, Σ, δ, q₀, {qk}) where δ is the transition function defined as

δ(qi, a) = qi+1 if 0 ≤ i ≤ k-1, and δ(qk-j, a) = qk-j for 1 ≤ j ≤ k.

For Σ = {a, b} and k ≥ 1, let Ck be the language that consists of all the strings which contains an a exactly k places from the right-hand end.

That means, Ck = Σ*aΣk-1.

To get an NFA with k+1 states that recognizes Ck, follow these steps:

We can start by taking the NFA with (k+1) states,

where {q₀, q₁, q₂, q₃,…qk} are the set of states.

The transition diagram for the NFA is given below, which can be represented as (q₀, q₁, q₂, q₃, …qk)

q₀ ----> q₁ on aq₁ ----> q₂ on a or b.

Now, the loopback transitions start from the kth state in the following way:

qk ----> qk on a or bqk-1 ----> qk on a or bqk-2 ----> qk on a or bqk-3 ----> qk on a or bq2 ----> qk on a or bq1 ----> qk on a or b.

To be more precise, if k=3, the transition diagram will look like the following diagram.

Finally, the formal description for the NFA that recognizes Ck is as follows:

M = ({q₀, q₁, q₂, q₃,…qk}, Σ, δ, q₀, {qk}) where δ is the transition function defined as

δ(qi, a) = qi+1 if 0 ≤ i ≤ k-1, and δ(qk-j, a) = qk-j for 1 ≤ j ≤ k.

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Answer:

(3, 1)

Step-by-step explanation:

The coordinates of point B' after rotating segment AB 90° about point A will be (3, 1)

Answer:

\(0.4651 \times {10}^{1} \)

Answer:

25

Step-by-step explanation:

3 (7) + 4 =

21 + 4 = 25

good luck, hope this helps :)

Answer:

25

Step-by-step explanation:

1. we need to substitute h

so it would look like:

\(3(7)+4\\21+4\\25\)

Hope this helps and answers your question! Have a great day/night!

Answer:

it is so hard as I am studying in just grade 8

Answer:

D. 135°

Step-by-step explanation:

Time is 1:30

The minute hand traveled half of full circle

The minute hand position is:

The hour hand traveled 1.5 hr ÷ 12 hr= 1/8 of full circle

The hour hand position is:

the difference between the hands:

Choice D. 135° is the correct one

Answer:

2bs + b^2, this is the equation to find the surface area. B is base length and s is slant height.

Step-by-step explanation:

The partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

Dalton's law states that the total partial pressures of all the gases in a mixture of non-reacting gases at a constant temperature equal the pressure the mixture exerts.

We have:

A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm.

According to Dalton's law

Total pressure = partial pressure of He + Partial pressure of Ne

0.56 = 0.27 + P(Ne)

P(Ne) = 0.29 atm

Thus, the partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

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The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Answer:

For first 30 GB, a fix payment of 500 Pesos, equation would be:

C(g) = 500(g⁰), note: g⁰ = 1, where g ≤ 30

It is also equal to C(g) = 500 when g ≤ 30.

For 30 GB to 49 GB, 30 pesos each GB will be charged, equation would be:  

C(g) = 500 + 30(g-30)  

C(g) = 500 + 30g - 90

C(g) = 30g + 410, where 30 < g < 50

For 50 GB and above, the equation will be:  

C(g) = 1000(g⁰), where g ≥ 50

It is also equal to C(g) = 1000, when g ≥ 50.

The probability that Sharon randomly selects two apples from the basket of fruits, given that there are 5 apples and 3 pears, can be expressed as a fraction.

To find the probability, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is the number of ways Sharon can select any two fruits from the basket, which can be calculated using combinations. In this case, there are 8 fruits in total, so the total number of possible outcomes is C(8, 2) = 28.

The number of favorable outcomes is the number of ways Sharon can select two apples from the five available in the basket, which is C(5, 2) = 10.

Therefore, the probability that both fruits Sharon selects are apples is 10/28, which can be simplified to 5/14.

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Answer:

  T = 79e^(-kt) +60

Step-by-step explanation:

You want the particular solution to the differential equation ...

  dT +k(T -60)dt = 0 . . . . T(0) = 139

This is a separable differential equation, so we can solve it by separating the variables and integrating each side:

  \(\dfrac{dT}{T-60}=-k\,dt\\\\\displaystyle \int{\dfrac{dT}{T-60}}=\int{-k}\,dt\\\\\ln{(T-60)}=-kt+C\\\\T-60=e^{-kt+C}=Ce^{-kt}\qquad\text{take antilogs; values of $C$ are different}\)

Applying the initial condition, we have ...

  139 -60 = C = 79

Then the particular solution is ...

  \(\boxed{T=79e^{-kt}+60}\)

There are 5,148,644 ways to pass out 13 cards to each of the two players from a deck of 52 cards containing 26 red cards and 26 black cards, assuming that the distribution is random.

To distribute 13 cards each among two players from a deck of 52 cards containing 26 red cards and 26 black cards, we can use the formula for combinations. The number of ways to choose 13 cards from 52 is given by:

52 choose 13 = 52! / (13! * 39!) = 635,013,559,600

This represents the total number of ways to choose 13 cards from the deck, without regard to which player receives which cards.

To determine the number of ways to pass out 13 cards to each of the two players, we need to divide this total number by the number of ways to distribute the cards evenly between the players. Since each player receives 13 cards, we can think of the distribution as dividing the deck into two piles of 26 cards each, and then choosing 13 cards from each pile for each player. The number of ways to do this is given by:

(26 choose 13) * (26 choose 13) = (26! / (13! * 13!)) * (26! / (13! * 13!)) = 5,148,644

Therefore, there are 5,148,644 ways to pass out 13 cards to each of the two players from a deck of 52 cards containing 26 red cards and 26 black cards, assuming that the distribution is random.

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The probability of low sales for the next three days, given that sales were low today, is 1.0 or 100%.

To find the transition matrix for the Markov chain, we can represent it as follows:

     |  P(1 → 1)  P(1 → 2)  P(1 → 3) |

     |  P(2 → 1)  P(2 → 2)  P(2 → 3) |

     |  P(3 → 1)  P(3 → 2)  P(3 → 3) |

From the given information, we can determine the transition probabilities as follows:

P(1 → 1) = 1 (since if sales are low one day, they are always low the next day)

P(1 → 2) = 0 (since if sales are low one day, they can never be average the next day)

P(1 → 3) = 0 (since if sales are low one day, they can never be high the next day)

P(2 → 1) = 0.1 (10% chance of going from average to low)

P(2 → 2) = 0.4 (40% chance of staying average)

P(2 → 3) = 0.5 (50% chance of going from average to high)

P(3 → 1) = 0.7 (70% chance of going from high to low)

P(3 → 2) = 0 (since if sales are high one day, they can never be average the next day)

P(3 → 3) = 0.3 (30% chance of staying high)

The transition matrix is:

     |  1.0  0.0  0.0 |

     |  0.1  0.4  0.5 |

     |  0.7  0.0  0.3 |

To find the probability of low sales for the next three days, we can calculate the product of the transition matrix raised to the power of 3:

     |  1.0  0.0  0.0 |³

     |  0.1  0.4  0.5 |

     |  0.7  0.0  0.3 |

Performing the matrix multiplication, we get:

     |  1.0  0.0  0.0 |

     |  0.1  0.4  0.5 |

     |  0.7  0.0  0.3 |

So, the probability of low sales for the next three days, given that sales were low today, is 1.0 or 100%.

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The complete question :

The Creamlest Cone, a local ice cream shop, classifies sales each day as "Tow." average,"or "high. "if sales are low one day, then they are always low the next day if sales are average one day, then there is a 10% chance they will be low the next day, a 4090 chance they wal be average the next day and a 50% chance they will be high the next day. If sales are high one day, then there is a 70% chance they wil be low the next day and a 30% chance they will be high the next day if state 1 = ow sales, state 2 average sales, and state 3 high sales, find the transition matnx for the Markov chain write entries as integers or decimals. If sales were low today, what is the probability that they will be low for the next three days? Write answer as an integer or decimal

Answer:

x = -9

Step-by-step explanation:

4(0.5x - 3) = x - 0.25(12 - 8x)

2x - 12 = x - 3 + 2x

2x - 12 = 3x - 3

2x = 3x + 9

-x = 9

x = -9

Answer:

thee answer is 3375ft

Step-by-step explanation:

Volume =length x width x height

V = 15ft x 15ft x 15ft

=3375 ft

can I please get brainly

Leah can run 320 yards in 2 minutes at the same rate as she can run 720 yards in 4.5 minutes. The correct option is B. 320.

To find out how many yards Leah can run in 2 minutes at the same rate, we can use the concept of proportionality.

Let's set up a proportion based on the information given:

720 yards / 4.5 minutes = x yards / 2 minutes

To find the value of x, we can cross-multiply:

4.5 minutes × x yards = 720 yards × 2 minutes

Now, divide both sides by 4.5 to solve for x:

x yards = (720 yards × 2 minutes) / 4.5 minutes

x yards = 320 yards

So, Leah can run 320 yards in 2 minutes at the same rate.

The correct answer is B. 320.

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The truth values for the given complex statements are:

3. False

4. False

5. False

6. True

7. False

8. Undefined

9. True

10. True

11. True

12. False

13. True

14. True

15. True

16. False

17. True

18. False

19. True

20. False

To determine the truth value of each complex statement, we'll use the given truth values:

A = True

B = True

C = True

X = False

Y = False

Z = False

Let's evaluate each statement:

3. B • Z

B = True, Z = False

Truth value = True • False = False

4. X V Y

X = False, Y = False

Truth value = False V False = False

5. ~C v Z

C = True, Z = False

Truth value = ~True v False = False v False = False

6. B - Z

B = True, Z = False

Truth value = True - False = True

7. (A v B) Z

A = True, B = True, Z = False

Truth value = (True v True) • False = True • False = False

8. ~(THIS)

"THIS" is not defined, so we cannot determine its truth value.

9. B v (Y • A)

B = True, Y = False, A = True

Truth value = True v (False • True) = True v False = True

10. A • (Z v ~Y)

A = True, Z = False, Y = False

Truth value = True • (False v ~False) = True • (False v True) = True • True = True

11. (A • Y) v (~Z • C)

A = True, Y = False, Z = False, C = True

Truth value = (True • False) v (~False • True) = False v True = True

12. (X v ~B) • (~Y v A)

X = False, B = True, Y = False, A = True

Truth value = (False v ~True) • (~False v True) = False • True = False

13. (Y • C) ~ (B • ~X)

Y = False, C = True, B = True, X = False

Truth value = (False • True) ~ (True • ~False) = False ~ True = True

14. (C • A) v (Y = Z)

C = True, A = True, Y = False, Z = False

Truth value = (True • True) v (False = False) = True v True = True

15. (A • C) (~X • B)

A = True, C = True, X = False, B = True

Truth value = (True • True) (~False • True) = True • True = True

16. (A • Y) (~Z • C)

A = True, Y = False, Z = False, C = True

Truth value = (True • False) (~False • True) = False • True = False

17. ~[(A • Z) (~C • ~X)]

A = True, Z = False, C = True, X = False

Truth value = ~(True • False) (~True • ~False) = ~False • True = True

18. [(A • Z) (~C • ~X)]

A = True, Z = False, C = True, X = False

Truth value = (True • False) (~True • ~False) = False • True = False

19. (A • Z) v (Y = Z)

A = True, Z = False, Y = False

Truth value = (True • False) v (False = False) = False v True = True

20. A • ~A

A = True

Truth value = True • ~True = True • False = False

Therefore, the truth values for the given complex statements are:

3. False

4. False

5. False

6. True

7. False

8. Undefined

9. True

10. True

11. True

12. False

13. True

14. True

15. True

16. False

17. True

18. False

19. True

20. False

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The steps for adding and subtracting fractions with whole numbers:

- Write the whole number in the form of a fraction.

- Convert the fractions to like fractions.

- Add/Subtract the numerators while the denominator remains the same.

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part of fraction is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

In case of adding and subtracting fractions with whole numbers:

Let us assume that 'a' represents the whole number and \(\frac{x}{y}\) be fraction

First we write the whole number in the form of a fraction.

So, a = \(a = \frac{a}{1}\)

Now we find the LCM of the denominators of fractions \(\frac{a}{1} ,\frac{x}{y}\) and then convert the given fractions to like fractions.

Let m be the LCM of the denominators of fractions \(\frac{a}{1} ,\frac{x}{y}\)

So, the fractions becomes  \(\frac{a}{m} ,\frac{x}{m}\)

Last we Add/Subtract the numerators while the denominator remains the same.

i.e., \(\frac{a\pm x}{m}\)

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The complete question is:

How to add /subtract fractions with whole numbers?

To find (the derivative of \( y \) with respect to \( x \)) from the given function \( y = \ln(x^2) + \ln(x+3) - \ln(2x+1) \), we can apply the rules of logarithmic differentiation.

First, we can rewrite the function using logarithmic properties:

\(\( y = \ln(x^2) + \ln(x+3) - \ln(2x+1) = \ln(x^2(x+3)) - \ln(2x+1) \).\)

Now, using the rules of logarithmic differentiation, we can differentiate \( y \) with respect to \( x \) as follows:

\( \frac{dy}{dx} = \frac{1}{x^2(x+3)} \cdot (2x(x+3)) - \frac{1}{2x+1} \).

Simplifying further:

\(\( \frac{dy}{dx} = \frac{2x(x+3)}{x^2(x+3)} - \frac{1}{2x+1} \).\( \frac{dy}{dx} = \frac{2x^2 + 6x}{x^2(x+3)} - \frac{1}{2x+1} \).Thus, \( \frac{dy}{dx} = \frac{2x^2 + 6x}{x^2(x+3)} - \frac{1}{2x+1} \) is the derivative of \( y \) with respect to \( x \)\) for the given function.

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The perimeter of the rectangle is approximately √29 + √37 + √29 + √41.

To find the perimeter of a rectangle, we need to calculate the lengths of all four sides and then sum them up.

Given the coordinates of the rectangle's vertices as (-3, 4), (2, 2), (-4, 1), and (1, -1), we can determine the lengths of the sides.

Side AB:

Using the distance formula, we calculate the distance between points A(-3, 4) and B(2, 2):

AB = √((2 - (-3))^2 + (2 - 4)^2) = √(5^2 + (-2)^2) = √(25 + 4) = √29

Side BC:

Using the distance formula, we calculate the distance between points B(2, 2) and C(-4, 1):

BC = √((-4 - 2)^2 + (1 - 2)^2) = √((-6)^2 + (-1)^2) = √(36 + 1) = √37

Side CD:

Using the distance formula, we calculate the distance between points C(-4, 1) and D(1, -1):

CD = √((1 - (-4))^2 + (-1 - 1)^2) = √(5^2 + (-2)^2) = √(25 + 4) = √29

Side DA:

Using the distance formula, we calculate the distance between points D(1, -1) and A(-3, 4):

DA = √((-3 - 1)^2 + (4 - (-1))^2) = √((-4)^2 + 5^2) = √(16 + 25) = √41

Now, we can sum up the lengths of all four sides to find the perimeter:

Perimeter = AB + BC + CD + DA

Perimeter = √29 + √37 + √29 + √41

So, the perimeter of the rectangle is approximately √29 + √37 + √29 + √41.

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Answer:

x < 17

Step-by-step explanation:

im guessing its simplify the equation.

just add 5 to both sides and positive 5 cancels out the subtract five.

twelve + five is 17.

Answer:he eighth sweater costs $29

Step-by-step explanation:

Let the price of the eighth sweater be re[presented as X

We know that

Mean Price =Total sum of cost of sweater bought/ Number of sweater'

Plugging in our known values we have that  

40=$50+ $55+ $30+ $35+ $39+ $40 + $42+X  /8

8 X 40 =291 +X

320=291 +X

X =320-291

X=29

Therefore, the eighth sweater costs $29

Answer: 29

Step-by-step explanation:

I got a question and im  anwsering here bc i want the points either way how is this a high school question im in 6th this is a hw problem

Answer:

The answer to this question is -2.

Step-by-step explanation:

First, multiply one of the equations by something that can cancel out the other variable.

3x+2y=20

3(x+4y=0)

3x+2y=20

3x+12y=0

Now, subtract both equations.

-10y=20

Now, divide both sides by -10.

y=-2

Hope this helps!

The probability that a randomly selected person from the population, who tests positive for being a liar, is indeed a liar is approximately 0.63 or 63%.

To find the probability that a randomly selected person who tests positive for being a liar is indeed a liar, we can use Bayes' theorem. Let's define the following events:

A: The person is a liar.

B: The person tests positive for being a liar.

We are given the following probabilities:

P(A) = 0.20 (Tom Hanks' statement that 20% of the population are liars)

P(B|A) = 0.756 (the lie detector correctly identifies a liar)

P(B|not A) = 0.111 (the lie detector incorrectly identifies a truthful person as a liar)

We want to find P(A|B), the probability that the person is a liar given that they tested positive. According to Bayes' theorem, we have:

P(A|B) = (P(B|A) * P(A)) / P(B)

To find P(B), we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

Since we know that P(not A) = 1 - P(A), we can substitute this into the equation:

P(B) = P(B|A) * P(A) + P(B|not A) * (1 - P(A))

Plugging in the given probabilities, we have:

P(B) = (0.756 * 0.20) + (0.111 * 0.80) = 0.1512 + 0.0888 = 0.24

Now we can substitute this back into the equation for P(A|B):

P(A|B) = (0.756 * 0.20) / 0.24 = 0.1512 / 0.24 = 0.63

Therefore, the probability that a randomly selected person from the population, who tests positive for being a liar, is indeed a liar is approximately 0.63 or 63%.

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the surface area is the sum of the circle at the top, the circle at the bottom and the rectangle that "covers the cylinder", like the label of a can if that makes sense.

the surface area for each circle is

S= π × r²

where r is the radius, this is diameter/2

the surface area for the rectangle is

S= b × h

where the base is the diameter and the height comes from this formula

hyp² = op² + adj²

because you have a right triangle where your hypotenuse is 20cm, your opposite cathetus is the one you need because is theheight of the cylinder , and the adjacent cathetus is the diameter

hope this helps, the answer should be 507.68cm²

Answer:

8

Step-by-step explanation:

make 8 bouquets: Each bouquet will have 2 red flowers and 3 yellow flowers.