f(g(4)) and the g(f(3)) for the following problem:


f(x) = 2x+3 and g(x) = x-3/2

Answer:

Difficult to infer an answer with such little information but I would assume it's "Definition of Midpoint" if you're writing a proof.

Answer:

130.26

Step-by-step explanation:

257.40-21.82-150.32=45=130.26

Answer: Factoring using GCF 2x^2+34x+140-- 2(x+7)(x+10)

x^2+4x-77 -->  (x-7)(x+11)

Step-by-step explanation: I don't know if these are 100 percent correct, since I'm learning these as well at the moment but I just wanted to help you out.

Answer:

32+n

Step-by-step explanation:

32 more than the number n would be 32+n.

Hope this helps!

The probability of wearing black pants with a white shirt and Nikes is 1/18.

Given is a table for Jesse's options for getting ready for school today,

The total number of pants = 2.

P(wearing black pants) = 1/2

The total number of the shirts = 3

P(wearing shirts) = 1/3

The total of the shoes = 3

P(wearing shoe) = 1/3

So, the probability of wearing black pants with a white shirt and Nikes =

1/3 x 1/3 x 1/2 = 1/18

Hence the probability of wearing black pants with a white shirt and Nikes is 1/18.

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corr(max(x,y),min(x,y)) cannot be equal to corr(x,y) as they are not equivalent. The answer is no.

In statistics, correlation is the degree of association between two random variables. In this case, x and y are independent random variables with nonzero standard deviations. corr(x, y) is the correlation coefficient between x and y and corr(max(x, y), min(x, y)) is the correlation coefficient between the maximum value of x and y and the minimum value of x and y.

Therefore, the answer is no. They cannot be equivalent because the two correlation coefficients refer to different pairs of random variables. The max and min functions convert the original variables into a new pair, so their correlation cannot be the same as the original pair. Hence, corr(max(x,y),min(x,y)) cannot be equal to corr(x,y).

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Intermediate models of integration differ from the enemies and allies models due to their approach in fostering collaboration and cooperation between different entities while maintaining a certain degree of autonomy and independence.

Intermediate models of integration, in contrast to enemies and allies models, aim to establish a framework where entities can work together while retaining their individual identities and interests. These models recognize that complete integration or isolation may not be the most optimal or feasible approaches. Instead, they emphasize the importance of collaboration and cooperation between different entities, such as organizations or countries, while respecting their autonomy.

In intermediate models of integration, entities seek to identify shared goals and interests, leading to mutually beneficial outcomes. They acknowledge the value of diversity and differences in perspectives, considering them as assets rather than obstacles. This approach encourages open communication, negotiation, and compromise to bridge gaps and find common ground. Rather than viewing other entities as adversaries or allies, the emphasis is on building relationships based on trust, transparency, and shared values.

Intermediate models of integration often involve the establishment of frameworks, agreements, or platforms that facilitate collaboration while allowing for flexibility and adaptation to changing circumstances. These models promote inclusivity, recognizing that integration can be a complex process that requires active participation from all involved entities. By combining the strengths and resources of different entities, intermediate models of integration strive to achieve collective progress and shared prosperity while acknowledging the importance of maintaining individual identities and interests.

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Emily spent $65.30 on food and
she spent $195.90 on lodging during her vacation.


To solve this problem, we can use algebraic equations. Let x be the amount Emily spent on food and 3x be the amount she spent on lodging. Then we can write the equation:

x + 3x = 261.20

Combining like terms, we get:

4x = 261.20

Dividing both sides by 4, we get:

x = 65.30

So Emily spent $65.30 on food and $195.90 on lodging during her vacation. Checking our work, we can see that 3 times the amount spent on food is equal to the amount spent on lodging, as required by the problem statement:

3*($65.30) = $195.90

Therefore, the solution is:

Emily spent $65.30 on food and $195.90 on lodging during her vacation.

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Answer:

slope = -9/7 or (negative fraction 9 over 7)

Step-by-step explanation:

what is the slope of the line that passes through (−2, 3) and (5, −6)?

slope = change in y / change in x

slope = (3 - (-6) / (-2 - 5)

slope = 9/-7

slope = -9/7

from your options:

negative fraction 9 over 7

The equations of lines are given below.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The equation for line a is,

x=-5.

The equation for line b is,

x=5.

The equation for line c is,

y=5.

The equation for line d is,

y=-2.

The equation for line e is

x+y=1

The equations of lines are given above.

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Answer:

84.474

Step-by-step explanation:

46.93 x 1.8 = 84.474

Answer:

The giraffe could run 84.474 feet in 1.8 seconds.

Step-by-step explanation:

cross multiply

1x= 84.474

x= 84.474 ft

Answer:

x - 9

Step-by-step explanation:

Answer:

bguiyhvulcvougtjglctvtgulvugtfvufygbgl

Step-by-step explanation:

the puppy will weigh 3 pounds after 4 weeks.

If a puppy weighs 1 pound initially and gains (1/2) pound each week, we can calculate its weight after 4 weeks.

Starting weight of the puppy: 1 pound

Weight gained each week: 1/2 pound

After 1 week: 1 pound + 1/2 pound = 1.5 pounds

After 2 weeks: 1.5 pounds + 1/2 pound = 2 pounds

After 3 weeks: 2 pounds + 1/2 pound = 2.5 pounds

After 4 weeks: 2.5 pounds + 1/2 pound = 3 pounds

Therefore, the puppy will weigh 3 pounds after 4 weeks.

what is pound?

In mathematics, "pound" is a unit of weight or mass commonly used in the imperial system of measurement. It is denoted by the symbol "lb". The pound is primarily used in the United States and a few other countries.

In the imperial system, one pound is equal to 16 ounces. It is further divided into smaller units, such as ounces, pounds, and tons.

It's important to note that in mathematics, the term "pound" refers specifically to the unit of weight or mass and is not a mathematical concept or operation in itself.

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Answer:

Directions - Identify the key components, create an exponential equation, then answer the questions.  

​Exponential Form:  y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b  

x

, a is the starting value, b is the base (rate).  

​In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?

​

​1) a =  15  

 4) Dogs after 1 years = 45  

 ​

​2) b =  3  

 ​5) Dogs after 2 years =   135

​3) Equation:    

y= 15 ×3x

 ​6) Dogs after 3 years =    

405

Step-by-step explanation:

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

A pairwise combination design of experiments is a method used to efficiently study the effects of multiple factors on a response variable. It involves selecting a subset of all possible combinations of the input variables to be tested, with each combination being tested in a separate experiment.

This allows for a more efficient use of resources while still providing valuable information about the effects of the inputs on the response.

In this scenario, there are three inputs (factors) - p1, p2, and p3 - each with a different number of values. To determine the total number of tests needed for a pairwise combination design of experiments, we first need to identify all possible pairwise combinations of the inputs. For three inputs, there are nine possible pairwise combinations, as explained earlier.

Once we have identified the pairwise combinations, we simply multiply the number of pairwise combinations for each input to get the total number of tests required. In this case, there are three pairwise combinations for each of p1 and p2, and one pairwise combination for p3, resulting in a total of nine tests.

Overall, a pairwise combination design of experiments is an effective way to study the effects of multiple inputs while minimizing the number of experiments needed. By carefully selecting which combinations of inputs to test, researchers can gain valuable insights into how the inputs affect the response, without incurring unnecessary costs or using up excessive resources.

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Diagonals congruent: rectangle, square, isosceles trapezoid

Perpendicular bisectors: Rhombus, Square

(a) To determine how fast the population is growing when it reaches 5 million people, we can substitute P(t) = 5 into the differential equation P'(t) = 0.06P(t). This gives us P'(t) = 0.06(5) = 0.3 million people per year. Therefore, the population is growing at a rate of 0.3 million people per year when it reaches 5 million people.

(b) To determine the population size when it is growing at a rate of 700,000 people per year, we can set P'(t) = 700,000 and solve for P(t). From the given differential equation, we have 0.06P(t) = 700,000, which implies P(t) = 700,000/0.06 = 11,666,666.67 million people. Therefore, the population size is approximately 11.67 million people when it is growing at a rate of 700,000 people per year.

(c) To find a formula for P(t), we can solve the differential equation P'(t) = 0.06P(t). This is a separable differential equation, and integrating both sides gives us ln(P(t)) = 0.06t + C, where C is the constant of integration. By exponentiating both sides, we get P(t) = e^(0.06t+C). Using the initial condition P(0) = 3, we can find the value of C. Substituting t = 0 and P(0) = 3 into the equation, we have 3 = e^C. Therefore, the formula for P(t) is P(t) = 3e^(0.06t).

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The division of 456.007 by 3.4566000 is 131.924( six significant figures)

Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication.

Division is a way of putting a certain number in group of another number.

For example if 100 mangoes are to be shared within 5 students, the number of mangoes with each student is obtained by dividing the total number of mangoes by the number of students. Therefore 100/5 = 20 mangoes will be given to a student.

Similarly, 456.007/3.4566000

= 131.924 ( six significant figures)

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The answer to this question is less coping strategies.

What are coping strategies?

Coping strategies are ways through which an individual gains some control over their emotions

Yes research has proved that the   Younger adults use more coping strategies than Older adults because now a days so methods for coping strategies like Cigerrate, alcohol, drugs etc things are easily being available to them and they use that to overcome their emotions

where as older adults have already seen most of their life so they are less likely to use these things to overcome their emotions

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The rate of change of f '(x) at (2, 20) is -52

We are given f(x) = 7x² − x³ and are asked to find the rate of change of f'(x) at (2, 20)

We can use the slope formula to find the average rate of change:

                        m = y2-y1/x2-x1

Here we need to find

                     Rate of change = f'(x2) - f'(x1) / x2 - x1

and here x1 = 2 and x2 = 20

First, we need to find f'(x)

                            f'(x) = 14x - 3x²

                           f'(x1) = f'(2) = 16

                           f'(x2) = f'(20) = -920

So, Rate of change = f'(x2) - f'(x1) / x2 - x1 = (-920 - 16)(20 - 2)

                                                                    = -52

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Answer:

45

Step-by-step explanation:

f= # of cases the first caseworker has

t= total number of cases

equation: t = 15+2f

Simple the answer is 45

1 caseworker has 15 cases and th ther has twice as many so thats multiplication, which is 15x2=30. then they asked how many cases does the office have so thats both the workers combined which is 15+30=45

so 15x2=30

15+30=45

Answer: C

Step-by-step explanation:

Open Circle: \(< , >\)

Closed Circle: \(\leq ,\geq\)

Answer: The general equation of a parabola with vertex (h,k) is y=a(x−h)2+k y = a ( x - h ) 2 + k . In this case we have (1,3) as the vertex (h,k) and (2,6) is a point (x,y) on the parabola. To find a , substitute the two points in y=a(x−h)2+k y = a ( x - h ) 2 + k .

Answer:

Surface area of cuboid = 352 cm

Step-by-step explanation:

Given that:

Height of cuboid = 8 cm

Length of cuboid = 12 cm

Width of cuboid = 4 cm

Surface area = 2lw + 2lh + 2hw

Putting all the values;

Surface area = 2*12*4 + 2*12*8 + 2*8*4

Surface area = 96 + 192 + 64

Surface area = 352 cm

Hence,

Surface area of cuboid = 352 cm

The answer is D. The samples do not need to be drawn from a population that is Normal in order to apply the central limit theorem. Option C is correct in stating that either the population distribution is Normal or the sample size is large. As long as the sample size is sufficiently large, the central limit theorem allows for the distribution of sample means to be approximately Normal, regardless of the distribution of the population from which the samples were drawn. However, options A and B are also important conditions that must be met before applying the central limit theorem.

The condition that is not necessary to check before applying the Central Limit Theorem is option D: "The samples must be drawn from a population that is Normal."

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that, under certain conditions, the sampling distribution of the mean of a sufficiently large sample will approximate a normal distribution, regardless of the shape of the population distribution.

Options A, B, and C represent the conditions that must be checked before applying the CLT. Option A states that the population should be at least 10 times larger than the sample size when the sample is collected without replacement.

Option B emphasizes the importance of random sampling and independence of observations within the sample. Option C states that either the population distribution should be normal, or the sample size should be large. However, option D is not a necessary condition for applying the CLT.

The CLT holds even if the population distribution is not normal. This is one of the key strengths of the CLT as it allows for the approximation of the sampling distribution of the mean for various population distributions, as long as the other conditions (A, B, and C) are satisfied.

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When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same

Answer: When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same.

Step-by-step explanation: