Find the slope of the line passing through the points (9,7) and (9, -2)

prime numbers between 8 and 28 are 11 , 13 , 17, 19, 23

Answer:

5 prime numbers.

Explanation:

11, 13, 17, 19, 23

Answer:

B and C

Explanation:

A function is a relation where each value of the first component x is associated with a unique value of the second component y.

So, to the relation remain a function, we need to select options where the x value is distinct from the x values in the table. This only happens in option B.

On the other hand, in Option C, we get that for x = 2, y = 7 and that is the same relationship showing in the table, so this answer doesn't change the function.

Then, the answers are:

B. and C.

Establish Null Hypothesis, H0:P=0.08 Alternative, greater than 8% of men suffer from sleep apnea and support or not the possible error type I or II, Type I Error.

H1: No. of Success Chances Observed (x)=10 Test Statistic P>0.08

There are 75 objects in the sample, which is given.

Number of Successes Rate (P)=x/n= 10/75= 0.1333

Failure Probability (Q0) = 0.92, Success Probability (Po) = 0.08

To test a single proportion, we utilize Test Statistics,

(Z) = P-Po/Sqrt(PoQo/n)

Z0= 0.13333-0.08/(Sqrt(0.0736)/75)

Z0 = 1.7025\s| Zo| = 1.7025

Critical Value

The value of |Z| at LOS 0.05% is 1.64; we calculated it by using the formulas |Z0| = 1.70 & |Z | =1.64; as a result, we reject.

H0

Right Tail - Ha: P-Value ( P > 1.70251 ) = 0.04433

Therefore, as P(0.05) > 0.04433, we reject H0.

The Pvalue for z= 1.7025 is 0.04433.

Reject or fail to reject is the choice at the 5 percent of significance Level.

We support decision possible error type I or II, Type I Error.

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Answer:

I believe it is 12.

Step-by-step explanation:

12 - 3 = 9

Answer:

Step-by-step explanation:

\(\frac{-21}{40} (\frac{3}{7} *\frac{17}{24} )=(\frac{-21}{40}*\frac{17}{-24} )*\frac{-3}{7}\)

Answer:

\(\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}\)

\(\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}\)

\(\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}\)

\(\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}\)

\(\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1\)

\(\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}\)

\(\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x\)

Step-by-step explanation:

Required

Simplify

Solving (1):

\(\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}\)

Factorize the numerator and the denominator

\(\frac{x^2(x + 2) -9(x+2)}{x(x^2-x-6)}\)

Factor out x+2 at the numerator

\(\frac{(x^2 -9)(x+2)}{x(x^2-x-6)}\)

Express x^2 - 9 as difference of two squares

\(\frac{(x^2 -3^2)(x+2)}{x(x^2-x-6)}\)

\(\frac{(x -3)(x+3)(x+2)}{x(x^2-x-6)}\)

Expand the denominator

\(\frac{(x -3)(x+3)(x+2)}{x(x^2-3x+2x-6)}\)

Factorize

\(\frac{(x -3)(x+3)(x+2)}{x(x(x-3)+2(x-3))}\)

\(\frac{(x -3)(x+3)(x+2)}{x(x+2)(x-3)}\)

Cancel out same factors

\(\frac{(x+3)}{x}\)

Hence:

\(\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}\)

Solving (2):

\(\frac{3x^2 - 5x - 2}{x^3 - 2x^2}\)

Expand the numerator and factorize the denominator

\(\frac{3x^2 - 6x + x - 2}{x^2(x- 2)}\)

Factorize the numerator

\(\frac{3x(x - 2) + 1(x - 2)}{x^2(x- 2)}\)

Factor out x - 2

\(\frac{(3x + 1)(x - 2)}{x^2(x- 2)}\)

Cancel out x - 2

\(\frac{3x + 1}{x^2}\)

Hence:

\(\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}\)

Solving (3):

\(\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}\)

Express x^2 - 9 as difference of two squares

\(\frac{6 - 2x}{x^2 - 3^2} * \frac{15 + 5x}{4x}\)

Factorize all:

\(\frac{2(3 - x)}{(x- 3)(x+3)} * \frac{5(3 + x)}{2(2x)}\)

Cancel out x + 3 and 3 + x

\(\frac{2(3 - x)}{(x- 3)} * \frac{5}{2(2x)}\)

\(\frac{3 - x}{x- 3} * \frac{5}{2x}\)

Express \(3 - x\) as \(-(x - 3)\)

\(\frac{-(x-3)}{x- 3} * \frac{5}{2x}\\\)

\(-1 * \frac{5}{2x}\)

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

Hence:

\(\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}\)

Solving (4):

\(\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x}\)

Expand x^2 - 6x + 9 and factorize 5x - 15

\(\frac{x^2 -3x -3x+ 9}{5(x - 3)} / \frac{5}{3-x}\)

Factorize

\(\frac{x(x -3) -3(x-3)}{5(x - 3)} / \frac{5}{3-x}\)

\(\frac{(x -3)(x-3)}{5(x - 3)} / \frac{5}{3-x}\)

Cancel out x - 3

\(\frac{(x -3)}{5} / \frac{5}{3-x}\)

Change / to *

\(\frac{(x -3)}{5} * \frac{3-x}{5}\)

Express \(3 - x\) as \(-(x - 3)\)

\(\frac{(x -3)}{5} * \frac{-(x-3)}{5}\)

\(\frac{-(x-3)(x -3)}{5*5}\)

\(\frac{-(x-3)^2}{25}\)

Hence:

\(\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}\)

Solving (5):

\(\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}\)

Factorize the numerator and expand the denominator

\(\frac{x^2(x - 1) -1(x - 1)}{x^2 - x-x+1}\)

Factor out x - 1 at the numerator and factorize the denominator

\(\frac{(x^2 - 1)(x - 1)}{x(x -1)- 1(x-1)}\)

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator

\(\frac{(x +1)(x-1)(x - 1)}{(x -1)(x-1)}\)

\(x +1\)

Hence:

\(\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1\)

Solving (6):

\(\frac{9x^2 + 3x}{6x^2}\)

Factorize:

\(\frac{3x(3x + 1)}{3x(2x)}\)

Divide by 3x

\(\frac{3x + 1}{2x}\)

Hence:

\(\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}\)

Solving (7):

\(\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x}\)

Change / to *

\(\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}\)

Expand

\(\frac{x^2-2x-x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}\)

Factorize

\(\frac{x(x-2)-1(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}\)

\(\frac{(x-1)(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}\)

Cancel out x - 2 and x - 1

\(\frac{1}{4x} * \frac{12x^2}{x} * \frac{x}{1}\)

Cancel out x

\(\frac{1}{4x} * \frac{12x^2}{1} * \frac{1}{1}\)

\(\frac{12x^2}{4x}\)

\(3x\)

Hence:

\(\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x\)

the slope of the line above is -2

There are 4 Queens, 4 Kings, and 4 Aces in a standard deck of cards.

Add these together, and there are 12 cards that you have a chance of choosing from.

The ratio of cards we want to get (queen, king ace) to number of cards is 12/52. This is the probability. We can simplify it further by dividing both sides by 4. We now have the fraction 3/13.

Therefore, the probability of drawing a queen, king, or ace is 3 in 13, or 23%.

hope this helped!

Explanation is in the file

tinyurl.com/wpazsebu

By using the concept of data structure, it can be concluded that-

First option is correct

What is data structure?

Data structure is a group of elements that provides an efficient way of storing and organizing data so that the data can be accessed and used efficiently. Data structure is a very important tool for computer science and computer engineer and especially in IT industry. Nowadays, lots of research work is being done on data structure.

The three main components of data model structure in SAP S/4HANA are,

configuration data, master data and transaction data

First option is correct

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Answer:

91.5\(cm^{2}\)

Step-by-step explanation:

The area of the rectangle:

a = lw

a =(21)(3) = 63

The area of the square:

a = lw

a = (5)(5) = 25

The area of a half circle:

a=\(\frac{\pi r^{2} }{2}\)

a= \(\frac{3.14(1.5^{2}) }{2}\)

a = \(\frac{3.14(2.25)}{2}\)

a = \(\frac{7.065}{2}\)

a = 3.5 rounded to the nearest tenth

63 + 25 + 3.5 =91.5

Answer:

The measure of angle B would be 100°

Step-by-step explanation:

Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Recall that by definition, the limit of a function

when x approches n is k if as x approches n, f(x) approches k.

As x approaches 2, the values of f(x) approach 7.

Answer:

Every gallon costs $4.20

Step-by-step explanation:

If you divide the money he spent and the gallons he needed, you come up with a total price of $4.20 a gallon. For the amounts of gallons he could get with $40 bucks, he would have 9.5 gallons, as you just need to divide 40 by 4.2. I hope this helps :)

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

The length of a vector 'v' in an n-dimensional Euclidean space is calculated as the square root of the dot product of the vector with itself, or ‖v‖ = \(\sqrt{(v.v)}\) = \(\sqrt{(v1^{2}+v2^{2} +.... + vn^{2} )}\).

The length of a vector 'v' in an n-dimensional Euclidean space is denoted as ‖v‖ and can be calculated asthe vector's dot product with itself, square root:

‖v‖ = \(\sqrt{(v.v)}\) = \(\sqrt{(v1^{2}+v2^{2} +.... + vn^{2} )}\)

So, to find the length of the vector 'v', we simply substitute its components in the above equation.

The length of a vector, also known as its magnitude or norm, is a scalar value that represents the magnitude of the vector in a given space. In the context of an n-dimensional Euclidean space, the length of a vector can be calculated as the square root of the dot product of the vector with itself. This calculation is based on the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares formed by the other two sides' lengths.

In mathematical terms, the length of a vector 'v' in an n-dimensional Euclidean space is calculated as follows:

‖v‖ = \(\sqrt{(v.v)}\) = \(\sqrt{(v1^{2}+v2^{2} +.... + vn^{2} )}\)

where 'v' is the vector, and 'v1', 'v2', ..., 'vn' are its components in the n-dimensional space. The dot product of the vector with itself (v · v) is equivalent to the sum of the squares of its components. The square root of this sum is the final length of the vector.

The length of a vector is an important concept in linear algebra and geometry. It is used to measure the distance between two points in a space, to calculate angles between vectors, to normalize vectors, and for various other mathematical and practical applications.

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Simplifying this expression, we can cancel out the n! terms and get:
lim as n approaches infinity of (n+1)/7
Therefore, the answer is option b), which diverges.

To determine the convergence or divergence of the series using the ratio test, follow these steps:

1. Write down the general term of the series: a_n = n! * 7^n.

2. Calculate the ratio between consecutive terms: R = (a_(n+1)) / (a_n) = (n+1)! * 7^(n+1)) / (n! * 7^n).

3. Simplify the ratio:
R = ((n+1)! * 7^(n+1)) / (n! * 7n) = (n+1) * 7 / 1 = 7(n+1).

4. Evaluate the limit as n approaches infinity: lim (n->) (7(n+1)).

As n goes to infinity, the expression 7 (n+1) also goes to infinity. Therefore, the limit is infinity.

5. Compare the limit with 1:
If the limit is less than 1, the series converges.
If the limit is greater than 1, the series diverges.
If the limit is equal to 1, the test is inconclusive.

Since the limit we found is  (infinity), which is greater than 1, the series diverges.

So, the answer is (b) diverges.

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To determine the convergence or divergence of the series using the ratio test, we will examine the limit of the ratio of consecutive terms as n approaches infinity. The series in question is:

Σ (n! * 7^n) for n=0 to infinity

The ratio test requires calculating the limit:

lim (n → ∞) |a_n+1 / a_n|

For our series, a_n = n! * 7^n, and a_n+1 = (n+1)! * 7^(n+1)

Now, let's compute the ratio:

a_n+1 / a_n = [(n+1)! * 7^(n+1)] / [n! * 7^n]

This simplifies to:

(n+1) * 7

Now, we will find the limit as n approaches infinity:

lim (n → ∞) (n+1) * 7 = ∞

Since the limit is infinity, the ratio test tells us that the series diverges. Therefore, the correct answer is (b) diverges.

I'm rather busy right now but I'll try my best to help you out

1. Radius is 6 because 12/2 = 6

2. Formula is πr^2

im really sry i wasnt able to help out alot but i hope you can understand it a little better

Answer:

I think ( b) is non proportional linear

The set that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

A relation is defined as a relationship between the input and output, which can be displayed on a graph on a coordinate plane.

From the graph as shown in the image attached below,

The set that has same coordinate points as indicated on the graph is:

B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

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Answer:

100 points for this i need help go to my question from this brainly.com/question/25995862

Step-by-step explanation:

100 points for this i need help go to my question from this brainly.com/question/25995862

Answer:

-3>=x this is because the circle is closed as well as the arrow going the opposite from -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Terms    Coefficient

-60           -60

6p                6

-4z                -4

Answer:

The terms of expression are −30, 6p, and −4z.

The coefficients are 6 and −4.

Answer:

m = 36

n = 3

Step-by-step explanation:

y varies inversely with x can be written as y ≅ 1/x.  As x goes up, y will go down.  We need a factor, N, to account for how much change occurs with each step.  There needs to be a factor involved, F, to account for how much change occurs with each step.  

Calculate the factor by using one of the known points.  I'll use (8,9):

y = F/x

9 = F/8

F = 72

The relation becomes y = 72/x.  Check this on the other given point, (12,6):

y = 72/x

6 = 72/12  ?   YES

Now use y = 72/x to find the two missing points, (m,2) and (24,n):

(m,2) 2 = 72/m,     m = 36

(24,n)  n = 72/24;   n = 3

Answer:

23.8

Step-by-step explanation:

7% = 0.07

Calculate 7% of 340

We take

340 times 0.07 = 23.8

So, 7% of 340 is 23.8

PLEASE GIVE BRAINLIEST! :)

Answer:

23.8

Step-by-step explanation:

percentage/100 = part/whole

where the part is what we want to find (7% of 340)

and the whole is 340.

Solving for the part, we get:

7/100 = part/340

Multiplying both sides by 340, we get:

part = (7/100) * 340

part = 23.8

Therefore, 7% of 340 is 23.8.

Step-by-step explanation:

Plot the points on a graph. As stated, you will plot based on the (x , y) values of the given point. The x-value will determine where on the x-axis (left->right) the point will coincide, while the y-value will determine where on the y-axis (top->down) it will coincide:

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The population scenario of Dhaka City presents a complex and challenging situation. Dhaka, the capital city of Bangladesh, has experienced rapid urbanization and population growth over the past few decades. With an estimated population of over 20 million people, Dhaka is one of the most densely populated cities in the world. This rapid population growth has resulted in various social, economic, and environmental challenges, with traffic congestion being one of the most pressing issues.

Dhaka City's population growth has outpaced its infrastructural development, leading to severe traffic congestion. The increasing number of vehicles on the roads, coupled with inadequate road infrastructure and limited public transportation options, has contributed to the worsening traffic jam situation. The traffic congestion not only causes inconvenience and frustration for commuters but also results in economic losses due to productivity decline and increased fuel consumption.

To mitigate the present traffic jam situation and restructure the population of Dhaka City, several measures can be considered:

Improve public transportation: Enhancing and expanding the public transportation system is crucial. This includes developing an efficient and reliable bus network, introducing mass rapid transit systems such as metro or light rail, and promoting the use of non-motorized transport modes like cycling and walking.

In conclusion, addressing the traffic jam situation in Dhaka City requires a comprehensive and multi-faceted approach. Restructuring the population of Dhaka City involves not only improving transportation infrastructure but also implementing sustainable urban planning strategies and promoting alternative modes of transport. By implementing these measures, Dhaka City can aim to mitigate traffic congestion, enhance mobility, and improve the overall quality of life for its residents.

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The magnitude of the centripetal force acting on the ball just prior to the moment of release in the hammer throw event is Fc = (0.730116kg *\(v^{2}\))/m.

To find the magnitude of the centripetal force acting on the ball just prior to the moment of release in the hammer throw event, we can use the principles of circular motion.

The centripetal force required to keep an object moving in a circle is given by the equation Fc = m\(v^2\)/r, where Fc is the centripetal force, m is the mass of the ball, v is the velocity of the ball, and r is the radius of the circle.

In this case, the mass of the ball is given as 7.30 kg, and the radius of the circle is 2.88 m. We need to find the velocity of the ball just prior to the release.

We are given that the ball moves upward on a curved path, which means it has both vertical and horizontal components of velocity. The velocity at the instant of release is directed 36.1 degrees above the horizontal.

To find the horizontal component of velocity, we can use the trigonometric relationship between the angle and the velocity components.

The horizontal component of velocity is given by vh = v * cosθ, where vh is the horizontal velocity and θ is the angle.

Using the given angle of 36.1 degrees, we can calculate the horizontal component of velocity: vh = v * cos(36.1) = v * 0.7986.

Since we don't have the value of v, we need to find it using the world record distance of 86.75 m. The horizontal distance traveled by the ball is equal to the circumference of the circle it moves in. Thus, 2πr = 86.75 m, which gives us r = 13.799 m.

Now, we can find the value of v by dividing the horizontal distance by the time it takes to travel that distance. Let's assume that the ball takes t seconds to complete one revolution.

Therefore, the time it takes to travel the world record distance is t = 86.75 m / (2πr) = 86.75 m / (2π * 13.799 m).

Now, we can calculate the horizontal component of velocity: vh = (86.75 m / t) * 0.7986.

With the horizontal component of velocity known, we can calculate the magnitude of the centripetal force using the formula Fc = m\(v^2\)/r. The magnitude of the centripetal force is Fc = m * (v\(h^2\) + v\(v^2\)) / r, where vv is the vertical component of velocity.

Since the ball is released at ground level, the vertical component of velocity just prior to release is zero. Thus, vv = 0.

Substituting the known values into the formula, we have Fc = 7.30 kg * (v\(h^2\) + 0) / 2.88 m.
Fc = (0.730116kg * \(v^2\)) / m.

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