Given that g(x) = x^2 - 9x + 7,
Find g(r + h) = ______________

Answer:

120 / (x+y) = 8

Step-by-step explanation:

120 / (x+y)

= 120 / (3+12)

= 120/15

= 8

Answer:

35/72

FractionCalculator

It can sometimes be difficult to multiply fractions, such as 7/8 times 5/9.

But it's no problem! I have displayed the answer below:

7/8 x 5/9 = 35/72

Step-by-step explanation:

When we multiply two fractions, such as 5/9 x 7/8, we simply multiply the numerators by each other and the denominators by each other.

Answer:

x < -7

Step-by-step explanation:

to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7

Answer:

x< −7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    x+2-(-5)<0

Step by step solution :

STEP 1:

Solve Basic Inequality :

1.1      Subtract  7  from both sides

           x < -7

Inequality Plot :

1.2      Inequality plot for

        x  + 7.000  <  0

======================================================

Work Shown:

A = old value = 75

B = new value = 78

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (78-75)/75 ] * 100%

C = (3/75) * 100%

C = 0.04 * 100%

C = 4%

The positive C value means we have a percent increase.

The price has increased by 4%

The ratio of the least common multiple of 180 and 594 to the greatest common factor of 180 and 594 is 7,140:18.

The greatest common factor (GCF) of 180 and 594 is 18.

The least common multiple (LCM) of 180 and 594 is 7,140.

Therefore, the ratio of the LCM to the GCF is 7,140:18.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 180 and 594, you can use the prime factorization method. First, you need to prime factorize each number.

180 = 2 x 2 x 3 x 3 x 5 and 594 = 2 x 7 x 17.

Then, you need to identify the greatest common factor among the prime factors of each number. The prime factors of 180 and 594 that are common to both are 2 and 2, which means that the GCF of 180 and 594 is 18. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 180 and 594, you can use the prime factorization method. First, you need to prime factorize each number. 180 = 2 x 2 x 3 x 3 x 5 and 594 = 2 x 7 x 17. Then, you need to identify the least common multiple among the prime factors of each number. The LCM of 180 and 594 is 2 x 2 x 3 x 3 x 5 x 7 x 17, which is 7,140.

Therefore, the ratio of the LCM to the GCF is 7,140:18.

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The change to the rental agreement made by Larry Landlord without informing Telly is considered a breach of contract, specifically a material breach, which allows Telly to be discharged from the contract.

When a party to a contract makes a significant change to the terms of the agreement without the consent or knowledge of the other party, it is generally considered a breach of contract. In this case, Larry Landlord altered the rental agreement by doubling the monthly rent payment without informing Telly. Such a change is considered a material breach, as it substantially affects the terms of the contract and the obligations of both parties.

As a result, Telly is entitled to be discharged from the contract, meaning she is no longer bound by its terms and obligations. She may seek legal remedies or negotiate a resolution based on the breach.

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The expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\) 100.

To find the percent of change between the gym's membership in 2012 and the current membership, we can use the following expression:

Percent of change = ((Current Value - Initial Value) / Initial Value) \(\times\) 100

In this case, the initial value is 9,300 (membership in 2012), and the current value is 2,800 (current membership).

Substituting these values into the expression, we get:

Percent of change = ((2,800 - 9,300) / 9,300) \(\times\)100

Simplifying the expression further, we have:

Percent of change = (-6,500 / 9,300) \(\times\) 100

Therefore, the expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\)100. This formula calculates the relative difference between the initial and current values and expresses it as a percentage.

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We are given that fifteen boys and fifteen girls entered a drawing for four free movie tickets. We want to find the probability that all four tickets were won by girls.

To solve this problem, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

The total number of outcomes represents all the possible ways to choose four winners from the thirty participants (boys and girls). We can calculate this using the combination formula:

C(30, 4) = 30! / (4!(30 - 4)!) = 27,405

Here, C(n, r) represents the combination of choosing r objects from a set of n objects.

Favorable outcomes:

We want to determine the number of ways to select all four winners from the group of fifteen girls. This can also be calculated using the combination formula:

C(15, 4) = 15! / (4!(15 - 4)!) = 1365

Probability calculation:

The probability is the ratio of the favorable outcomes to the total number of outcomes. So, we divide the number of favorable outcomes by the total number of outcomes:

P(Girls winning all four tickets) = 1365 / 27,405

Simplifying the fraction, we find:

P(Girls winning all four tickets) = 1 / 20

Therefore, the probability that all four tickets were won by girls is 1/20.

In summary, out of all the possible combinations of selecting four winners from the thirty participants, only one out of every twenty combinations will result in all four tickets being won by girls.

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Assuming exponential growth, we can determine the year in which the population of the US is expected to exceed 350 million based on the given population values in 2000 and 2013. By using the exponential growth formula and solving for the unknown variable, we can estimate the year. Additionally, it is crucial to consider the growth rate derived from the given data to make accurate predictions.

To estimate the year when the US population is expected to surpass 350 million, we can use the exponential growth formula: P(t) = P0 * e^(rt), where P(t) represents the population at time t, P0 is the initial population, e is the base of the natural logarithm, r is the growth rate, and t is the time elapsed.

Using the given population values, we can determine the growth rate (r) by rearranging the exponential growth formula: r = ln(P(t)/P0) / t.

Substituting the values for P0, P(t), and t into the growth rate formula, we can calculate the growth rate. With the growth rate determined, we can then rearrange the exponential growth formula to solve for the unknown variable t, representing the number of years.

By substituting the values of P0, P(t), and the known growth rate into the rearranged exponential growth formula, we can solve for t and determine the number of years required for the population to exceed 350 million. Adding this time to the initial year (2000), we can estimate the year in which the population is expected to surpass 350 million.

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The enlarged node that the nurse should suspect that the client has a blockage within the right lymphatic duct is the right cervical node

A network of tissues, blood arteries, and organs called the lymphatic system collaborates to transport lymph, a colorless, watery fluid, back into your circulatory system. Every day, your body's arteries, smaller arteriole blood vessels, and capillaries circulate about 20 liters of plasma.

The right lymphatic duct receives drainage from the right cervical node. The thoracic duct receives drainage from the superficial popliteal, superficial inguinal, and lumbar nodes. The sides and back of the neck include the cervical lymph nodes.

Typically, these glands are incredibly tiny. A lymph node, however, is swollen if its diameter is higher than 1 centimeter. Deep inside the neck, the cervical lymph nodes are located.

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Answer:

b

Step-by-step explanation:

42.75+4=6

Data preprocessing is a crucial step in data mining that involves cleaning and transforming raw data into a suitable format for analysis. In this assignment, we will import a dataset in CSV format and perform the initial data preprocessing steps.


Data preprocessing begins with importing the dataset, which is provided in CSV format. CSV stands for Comma-Separated Values and is a widely used file format for storing tabular data. Once the dataset is imported, the preprocessing steps can be applied.

The first step in data preprocessing is data cleaning, which involves handling missing values, outliers, and inconsistent data. Missing values can be addressed by either imputing them with appropriate values or removing the corresponding rows or columns. Outliers, which are extreme values that deviate significantly from the majority of the data, can be detected using statistical techniques and treated accordingly. Inconsistent data, such as conflicting values or data in the wrong format, can be resolved through data standardization or transformation.

The next step is data integration, where multiple datasets may be combined into a single dataset to facilitate analysis. This may involve merging datasets based on common identifiers or aggregating data from different sources. Data reduction techniques can then be applied to reduce the dataset's size while preserving the important information. This can be achieved through techniques such as feature selection or dimensionality reduction.

Finally, data transformation involves converting the dataset into a suitable format for analysis. This may include normalizing the data to a common scale, encoding categorical variables into numerical representations, or transforming skewed data distributions. These transformations ensure that the data meets the assumptions of the analysis techniques to be applied later.

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To find the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (16, 0), we can use the formula:

dy/dx = (dy/dtheta) / (dx/dtheta) = (r' sin(theta) + r cos(theta)) / (r' cos(theta) - r sin(theta))

where r' = dr/dtheta.

First, we need to find r' by taking the derivative of r with respect to theta:

r' = dr/dtheta = -7 sin(theta)

Then, we can plug in the given values to find the slope at (16, 0):

dy/dx = [(r' sin(theta) + r cos(theta)] / [r' cos(theta) - r sin(theta)]

= [(-7 sin(0) sin(0) + (9 + 7 cos(0)) cos(0))] / [(-7 sin(0) cos(0)) - (9 + 7 cos(0)) sin(0))]

= (9 + 7) / (-9) = -2

Therefore, the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (16, 0) is -2.

To find the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (2, pi), we can use the same formula as above:

dy/dx = (r' sin(theta) + r cos(theta)) / (r' cos(theta) - r sin(theta))

First, we need to find r' by taking the derivative of r with respect to theta:

r' = dr/dtheta = -7 sin(theta)

Then, we can plug in the given values to find the slope at (2, pi):

dy/dx = [(r' sin(theta) + r cos(theta)] / [r' cos(theta) - r sin(theta)]

= [(-7 sin(pi) sin(2) + (9 + 7 cos(pi)) cos(2))] / [(-7 sin(pi) cos(2)) - (9 + 7 cos(pi)) sin(2))]

= (-2) / (7)

Therefore, the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (2, pi) is -2/7.

The polar curve r = 9 + 7 cos(theta) intersects the origin when r = 0, which occurs when cos(theta) = -9/7, which is not possible since the range of cosine function is [-1, 1]. Therefore, the curve does not intersect the origin.

Since the curve does not intersect the origin, the answer is "The curve does not intersect the origin" for the equation of the tangent line in polar coordinates.

Answer:

f(0)=4 we write the equetion in the form of

\(f(x) = mx + b\)

which is

1st f(x)= 4x+4 then y-intercept is b= 4

2nd f(x) = 7x-3 then x-intercept is x=3/7

3rd f(x)= -2x + 2 then x-intercept is x= 1

Answer:

Even

Step-by-step explanation:

Its even because a parabola as the equation of x^2, that is an even graph!

:)

Answer:

even

(sorry if it's wrong but I'm pretty sure it's even.)

Answer:

See solution below

Step-by-step explanation:

Given the following expression

1) 24+r

If r = 9

24 + r = 24+9

= 33

2) 2a+3

If a = 10

Substitute

2(10)+3

= 20+3

= 23

3) BC+12.3

b = 9

c = 4

Substitute

= 9(4)+12.3

= 36+12.3

= 48.3

4) p÷q

Given p = 24 and q = 8

p÷q = 24÷8

p÷q = 3

5) 4c-7.8

If c = 4

Substitute

= 4(4)-7.8

= 16-7.8

= 8.2

6) c-a

a = 3

c = 17

Substitute

= 17-3

= 14

Hence c-a = 14

7) a ÷ 2c ; a = 20, c = 2

Substitute

a÷2c

= a/2c

= 20/2(2)

= 20/4

= 5

8) 3x-14

If x = 5

Substitute

= 3(5)-14

= 15-14

= 1

9) 1.5 + y² ; y = 6

Substitute

= 1.5+6²

= 1.5+36

= 37.5

10) t/5 + 6 ; t = 45

substitute the value of t given into the expression

= 45/5 + 6

= 9 + 6

= 15

Answer:

AB=5

Step-by-step explanation:

3x-4=5x-10

-4=2x-10

6=2x

3=x

AB= 3(3)-4

9-4

5

Answer:

ab = 5.

Step-by-step explanation:
As the 2 sides are equal in length:

3x - 4 = 5x - 10

3x - 5x = -10 + 4

-2x = -6

x = 3.

So ab = 3x-4 = 3(3)-4

= 5.

Depending on how many couples in marriage counseling exist outside of this counselor's practice.

A. The population is a group of clients of this counselor - this would include all of the clients of the counselor, regardless of whether or not they stayed married.

B. The population is all of the clients of this counselor - this would include all of the clients of the counselor, regardless of whether or not they stayed married.

C. The population is all of the clients of this counselor who stay married - this would include only the clients of the counselor who stayed married.

D. The population is all couples in marriage counseling - this would include all couples, regardless of whether they were clients of this counselor or not.

For example, if the counselor had 100 clients and 50 of them stayed married, the population of part (a) would be 100, the population of part (b) would be 100, the population of part (c) would be 50, and the population of part (d) could be larger or smaller than the other parts, depending on how many couples in marriage counseling exist outside of this counselor's practice.

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Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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After answering the given query, we can state that The Pythagorean formula can also be used to determine the cone's cut-off end's diameter: d = (r2 - y2)/2 = (7.2 - 0.6)/2 = 14.27 inches (approximately)

An item with a level base and a smooth, tapering tip or vertex is referred to as a cone in three dimensions. A cone is formed by joining a succession of line segments, half-lines, or lines that link every point on the base in a plane without vertices. A cone is a three-dimensional construction with a smooth shift from a flat, usually circular base to the vertex or peak, which acts as the base's center's axis. An apparent three-dimensional geometric form with a vertically smoothed curved surface is called a cone.

x/h equals (r + y)/r

(r - (h - x - 3)) = (r - (h - x - 3)) = x/h/r

x = r - y = r - (h - x - 3)

x = (2r - h + 3)/2

V = (1/3)πr^2h

2,034.72 = (1/3)πr^2h

2,034.72 = (1/3)πr^2(h - x - 3)

2,034.72 = (1/3)πr^2(h - ((2r - h + 3)/2) - 3)

After simplifying and finding "r," we arrive at:

7.2 centimeters is r.

The height of the removed portion can now be determined using the calculation for "x":

Inches are equal to x = (2r - h + 3)/2 = (2(7.2) - 24 + 3)/2 = 0.6

The Pythagorean formula can also be used to determine the cone's cut-off end's diameter:

d = (r2 - y2)/2 = (7.2 - 0.6)/2 = 14.27 inches (approximately)

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Rotating a shape involves moving it in a circular way around its axis

The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.

When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape

As a general rule, the rotation of a right triangle around its axis would form a cone.

Hence, the true statement about the rotation is (c)

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Answer: C. Rotating a right triangle around its vertical axis will form a cone.

Step-by-step explanation: CORRECT on Plato/Edmentum.

Answer:

The width is 5 meters

Step-by-step explanation:

The rectangular field is 24 meaning adding just one width and length of the rectangle would be 12.

x = width

2x - 3 + x = 12

3x - 3 = 12

3x - 3 + 3 = 12 + 3

3x = 15

x = 5

Answer:

Step-by-step explanation:

a. 2a(3+7a)

b.2x(x^3+x^4+x^9)

c.3z(z-5)

d i cant see

Answer:

1) 6a + 14a^2

2a(3+7a)

2) 2x^4 + 2x^5 + 2x^10

2x^4(1 + x + x^6)

3) 6z^2 - 15z

3z(2z - 5)

4) 42w^3 - 14w + 77w^2

42w^3 + 77 w^2 - 14 w

7w(6w^2 + 11w - 2)

Step-by-step explanation:

The group and membership types to be used for group 1 is a Microsoft 365 group that uses the Dynamic User membership type

To do this you have to set a policy for office 365 group in Azure active directory.

As the use of Office 365 Groups increases, the administration and the users should find a way to delete unused groups. Those to be removed are the inactive ones.

At the expiration of each group, all data associated to it will; also be deleted.

The expiration policy is only made for office 365 in Azure active directory.

In conclusion, the group and membership types to be used for group 1 is a Microsoft 365 group that uses the Dynamic User membership type

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True, Frustrated Freight is any freight or shipment that it has been halted from moving.

Generally speaking, the elements that make a bundle quit moving or being shipped to the normal beneficiary are issues to do with marking, bundling, as well as making.

Frustrated Freight alludes to products that can't be conveyed to the expected beneficiary because of different reasons like an erroneous location, beneficiary inaccessibility, or harm during travel.

This can prompt the shipment never arrive at its expected objective, causing disillusionment for the shipper and beneficiary, and possibly bringing about monetary misfortunes.

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Answer:  0.10

Step-by-step explanation:

because u said that the bat was 1.00 more than the ball so the ball would be 0.10

Answer:

Step-by-step explanation:

 8     6     9      5    10     4     11

 1st = 3rd - 1

  3rd = 5th - 1 and so on

2nd = 4th + 1

4th = 6th + 1

6th = 8th + 1

 8th = 6th - 1

         =  4 - 1

         = 3

Dyscalculia is a learning disorder that affects a person’s ability to do the math.

A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.

The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.

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A woman you know has five children among which all five  are boys. probability for a woman that she will have all five boy as a five children is  0.5.

The probability or the outcome  in which a women with five children have all the girls and none of them as boys is :-

0.5x0.5=0.25.

So for the  first child there is a a 50% chance that is will be of a male. And same for the  second child being male there will be equal probability that it can be boy so it  also will have a probability .

So the probability of having five females is  0.55=0.03125

Except the above define value all the other outcome or choices means that the women have a least one son in the five children  and the total probability of an event is 1.

.The theoretical probability is mainly reasoning bases which is behind probability. For example, if a coin is tossed then the theoretical probability or the outcome of getting a head will be ½.

Probability provides information about the happening of   something which might happen and might not depending upon the outcome demand happen. Meteorologists, also take the help of probability to predict whether the rain may happen or not for instance In epidemiology, also probability theory is used to understand  about various risk related to life an to demonstrate various relation .

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