Solve the following quadratic function by utilizing the square root method. Y=xsquared minus nine

Yes, repeating two simple arithmetic operations will eventually transform every positive integer into 1.

From the question, we have the following parameters that can be used in our computation:

f(n) = n/2 if n%2 = 0

f(n) = 3n + 1 if n%2 = 1

The above definition means that

f(n) = n/2 if n is even

f(n) = 3n + 1 if n is odd

To check if repeating operations would transform to 1, we can set n = 10

and then evaluate the function values

So, we have

f(10) = 10/2 = 5

f(5) = 3(5) + 1 = 16

f(16) = 16/2 = 8

f(8) = 8/2 = 4

f(4) = 4/2 = 2

f(2) = 2/2 = 1

See that the end result of the operations is 1

Hence, repeating two operations will transform every positive integer into 1

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Answer:

its going to be D (x,y) - (x-2,y-4)

Step-by-step explanation:

The z-score associated with a 95% confidence level is approximately 1.96.

The z-score associated with a 95% confidence level is the value of the standard normal distribution that corresponds to an area of 0.95 to the left of the z-score.

Using a standard normal distribution table or calculator, we can find that the z-score associated with a 95% confidence level is approximately 1.96.

Therefore, if we want to calculate the z-score for a 95% confidence level, we can use the formula

z = invNorm(1 - α/2)

where α is the significance level (α = 0.05 for a 95% confidence level), and inv Norm is the inverse normal cumulative distribution function. Using this formula, we can calculate the z-score as:

z = inv Norm(1 - 0.05/2)

= inv Norm(0.975) ≈ 1.96

Therefore, the z-score is 1.96

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A. The value of 3BC - 2AB, where A, B, and C are matrices, can be calculated as -39 13 15 -23.

B. By using the matrix method, the solution to the system of simultaneous equations x + 2y - z = 6, 3x + 5y - z = 2, and -2x - y - 2z = 4 is x = -1, y = 2, and z = 3.

A. To calculate 3BC - 2AB, we first need to multiply matrices B and C to obtain BC, and then multiply BC by 3 to get 3BC. Similarly, we multiply matrices A and B to obtain AB, and then multiply AB by -2 to get -2AB. Finally, we subtract -2AB from 3BC to obtain the resulting matrix, which is -39 13 15 -23.

B. To solve the system of simultaneous equations, we can use the matrix method. First, we express the system of equations in matrix form as AX = B, where A is the coefficient matrix, X is the column vector of variables (x, y, z), and B is the column vector of constants. By rearranging the equation, we have X =\(A^-1 * B,\) where \(A^-1\) is the inverse of matrix A. By calculating the inverse of matrix A, we can then multiply it by B to obtain the solution vector X, which represents the values of x, y, and z. In this case, the solution to the system of equations is x = -1, y = 2, and z = 3.

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False. The authors of the article do not explicitly argue that Cypher should not have made the choice to go back into the Matrix because he would betray his friends.

Instead, the authors explore his motivations for returning as well as the potential consequences.   In fact, they acknowledge that Cypher had a legitimate reason to go back in, namely, his desire to be comfortable and happy. They do, however, criticize his decision as a selfish one and suggest that he should have chosen to stay with his friends and fight against the machines, rather than abandoning them. Thus, the authors of the article do not argue that Cypher should not have made the choice to go back into the matrix; they simply criticize the decision.They suggest that Cypher's decision was “a conscious choice between freedom and power” and that, while it was a “risky move”, it was ultimately one that he was willing to take. Ultimately, the authors do not come to a conclusion as to whether Cypher’s choice was right or wrong.

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x = -7

hope this helps!

If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75

We are given;

Standard deviation; s = 5

z-score = 1.95

Mean = 80

Formula for z-score is;

z = (x' - μ)/σ

Thus;

1.95 = (x' - 80)/5

1.95 * 5 = (x' - 80)

9.75 = x' - 80

x' = 80 + 9.75

x' = 89.75

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Answer:

-36+(-3)+2(27+6)

-36+(-3)+2(33)

-36-3+66

-39+66

27

Answer:

27

Step-by-step explanation:

PEMDAS

– 36 + (–3) + 2(27 + 3 X 2)

-39+ 2(27 + 3 X 2)

-39+2(27+6)

-39+2(33)

-39+66

27

Hope this helped!!

It takes about 1.5 seconds for the ball to hit the ground.

To find how long it takes for the ball to hit the ground, we need to find the value of x when h(x) = 0, since the height of the ball is 0 when it hits the ground. We can set -16x²+36 = 0 and solve for x:

-16x²+ 36 = 0

Dividing both sides by -16:

x² - 2.25 = 0

Adding 2.25 to both sides:

x²= 2.25

Taking the square root of both sides (we can ignore the negative root since time cannot be negative):

x = √(2.25) ≈ 1.5

Therefore, it takes about 1.5 seconds for the ball to hit the ground.

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Step-by-step explanation:

5x-3y = -37 (to find x-intercept/zero, subtitute y=0)

5x- 3×0= -37 ( any expression multiplied with 0 is always 0)

5x-0= -37

5x= -37 (Divide both sides with 5 )

x = - 37/5

It has other ways but i hope this is one of them

Answer:

No, it is not legal to drive at 80 mph, even if everyone else is driving at that speed, if the posted speed limit is 65 mph. The posted speed limit is the maximum legal speed that drivers are allowed to travel on a particular road, and it is a law that must be followed.

Step-by-step explanation:

Step-by-step explanation:

I am not sure I fully understand what your teacher wants from you, but I would say we only need to define the burning rate per hour for both people, and with that normed rate (number / hour) we can answer the main question directly.

Thomas burned 675 cal/ 2 hours.

by dividing to and bottom by 2 (it is important to do the same action on the top and the bottom to keep the value of the ratio unchanged) we get

337.5 cal / hour

and Marvin burned 1035 cal / 3 hours.

so, the same trick, this time dividing to and bottom by 3 to norm the whole ratio to a 1 hour baseline :

345 cal / hour

so, Marvin burned more calories per hour.

when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words

examples:- First

\(5 + ( - 2) = 5 - 2 = 3\)

like here we put + in front of 3 as larger number 5 is positive

\( - 7 + 5 = - 2\)

we put negative because 7 is larger then 5 and 7 is negative

Step-by-step explanation:

solution file attached

Answer:

10:45

Step-by-step explanation:

Answer:

10:45 :)

Step-by-step explanation:

Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values ​​and ethics perspective, but also from your future perspective.

Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.

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Hey there!

4x + 1/2 + 2x - 3

COMBINE the LIKE TERMS

= (4x + 2x) + (1/2 - 3)

TRYING to SIMPLIFY THEM

4x + 2x

= 6x

1/2 - 3

= -5/2

ANSWER

6x + (-5/2)

Therefore, your answer should be: 6x + -5/2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

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The average speed of the car between 1 and 9 seconds is 50 meters per second, and the total area under the velocity vs. time curve represents the total distance traveled by the car, which in this case is 400 m.s.

a. Looking at the graph, we can see that the car travels a total distance of 400 meters (from x = 0 to x = 400) in a time of 8 seconds (from t = 1 to t = 9). Therefore, the average speed of the car is:

Average speed = Total distance / Time taken

= 400 meters / 8 seconds

= 50 meters per second

The average speed of the car between 1 and 9 seconds is 0.05 km/s.

b. The speed of the car changes throughout its test run. At the beginning of the run (from t = 0 to t = 3), the car is stationary, so its speed is 0. Then, as the car starts to accelerate, its speed increases gradually until it reaches a maximum speed of 100 meters per second (from t = 5 to t = 6). The shape of the speed vs. time graph would look like a bell curve.

c. From the graph, we can see that the car travels a total distance of 400 meters, so the total area under the curve would be 400 meters times seconds (m.s).

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To find the length of the third side using the Pythagorean Theorem, we need the lengths of the other two sides.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's assume the lengths of the two given sides are a and b. Using the Pythagorean Theorem, we can express the length of the third side, which we'll call c, as follows:

c^2 = a^2 + b^2

To find the length of the third side, we take the square root of both sides:

c = √(a^2 + b^2)

If necessary, we can simplify the expression by evaluating the square root and leaving it in radical form. However, without specific values for a and b, we cannot provide a simplified radical answer in this case.

Therefore, the length of the third side using the Pythagorean Theorem is given by c = √(a^2 + b^2), and if needed, it can be written in simplest radical form after substituting specific values for a and b.

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Answer:

150m^2

Step-by-step explanation:

Given data

a=8m

b=17m

h=12m

We know that the expression for the area of a trapezoid is given as

Area= (a+b/2)*h

substitute

Area= (8+17/2)*12

Area= 25/2 *12

Area= 12.5*12

Area= 150 m^2

Hence the area is 150m^2

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

5 Kg of apples

Step-by-step explanation:

cost of apples per kg = 24000.00/3

=8000.00

amount of apples bought = 40000.00/8000.00

=5 Kg

He got 5kg of apples with Rp.40,000.00

Option (A), I = integral_0^2 integral_y/2^1 f(x, y) dx dy. We integrate over y first, from 0 to 2x, and then over x from 0 to 2.

To reverse the order of integration in the given integral I = integral_0^2 integral_x/2^1 f (x, y) dy dx, we need to first sketch the region of integration. This can be done by plotting the line y=2x and the boundaries x=0 and x=2. The region of integration is a triangular shape with vertices at (0,0), (2,0), and (2,4).
To reverse the order of integration, we need to integrate over y first and then x. This means we need to find the limits of integration for y. Since the region is bounded by the line y=2x, the limits of integration for y will be from y=0 to y=2x.
Thus, the answer is option a. I = integral_0^2 integral_y/2^1 f(x, y) dx dy. We integrate over y first, from 0 to 2x, and then over x from 0 to 2.
It is important to note that reversing the order of integration does not change the value of the integral, only the way it is evaluated.

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Answer:

  rule: f(n) = n³

  missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

  1 = 1·1·1 = 1³

  8 = 2·2·2 = 2³

  27 = 3·3·3 = 3³

  64 = 4·4·4 = 4³

__

The rule is ...

  f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

  1, 8, 27, 64, 125, 216, 343, 512, 729

The fraction of the student come to after tutoring is given by 1/8.

Given that the total number of students is given by 32.

The number of students who come to after a school tutoring is given by = 4.

So we have to take the number of students who come to after a school tutoring as numerator and the total number of students as denominator of the required fraction.

Therefore, the denominator of the required fraction is given by = 32

The numerator of the required fraction is given by = 4

The best suited fraction is given by = 4/32 = 1/8.

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The chance of obtaining a total of 7 when rolling two shaved dice is 2/25. When the dice are rolled independently for a total of 6 times, the number of times a total of 7 is obtained follows a binomial distribution with parameters n = 6 and p = 3/20.

To solve this problem, we can use the concept of probability and counting techniques.

(a) Finding the chance of obtaining a total of 7 when rolling two shaved dice:

We have two possibilities to obtain a total of 7: (1, 6) and (6, 1). The chance of rolling a 1 or 6 on each die is 1/5, so the probability of getting (1, 6) or (6, 1) is (1/5) * (1/5) = 1/25. Since there are two possible outcomes, we multiply this probability by 2:

P(total of 7) = 2 * (1/25) = 2/25.

(b) Finding the pmf and cdf for the number of times a total of 7 is obtained in 6 rolls:

Let's calculate the probability mass function (pmf) and cumulative distribution function (cdf) for the random variable Y, representing the number of times a total of 7 is obtained in 6 rolls.

To obtain the pmf, we need to find the probability of each possible value of Y, which can range from 0 to 6.

Y = 0: The total of 7 is not obtained at all in 6 rolls.

To calculate this probability, we need to find the probability of not rolling a total of 7 in a single roll, which is 1 - P(total of 7).

P(Y = 0) = \((1 - 2/25)^6\) = \((23/25)^6\).

Y = 1: The total of 7 is obtained exactly once in 6 rolls.

To calculate this probability, we need to find the probability of rolling a total of 7 once and not rolling it the remaining 5 times.

P(Y = 1) = 6 * (2/25) * \((23/25)^5\).

Y = 2: The total of 7 is obtained exactly twice in 6 rolls.

P(Y = 2) = C(6, 2) * \((2/25)^2\) * \((23/25)^4\).

Similarly, we can calculate the probabilities for Y = 3, 4, 5, and 6.

The cumulative distribution function (cdf) gives the probability that Y takes on a value less than or equal to a given number.

CDF(Y ≤ 0) = P(Y = 0).

CDF(Y ≤ 1) = P(Y = 0) + P(Y = 1).

CDF(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2).

And so on...

Once we have the pmf and cdf values, we can plot them using a line graph, with the x-axis representing the values of Y and the y-axis representing the probability values. We'll indicate the cdf's value at each jump point with small darkened circles.

Now, let's calculate the pmf and cdf values for Y and plot them.

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Answer:

3

Step-by-step explanation:

Slope=rise/run

-10 - -7=-10+7=-3

4-5=-1

-3/-1=3

(Final equation y=3x-22)