Consider a population that grows according to the recursive rule Pn=Pn−1+50

, with initial population P0=30

Answer:

f[g(x)]

7(x^2)-9

Step-by-step explanation:

(fºg)(x) read: f of g of x. And can be seen written like in this format: f[g(x)]. Which I prefer.

The expression f[g(x)] means that you put the expression g(x) into the x variable for f(x). Comment if you need a better explanation :)

The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

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The value of the expression n 1, for n ≥ 1 is equal to n(n-1) when n is greater than or equal to 2 and 0 when n is equal to 1.

The expression n 1, for n ≥ 1 can be interpreted as the product of n and (n-1). Therefore, we can write the expression as n(n-1). When n is equal to 1, the value of the expression is 0.

The expression "n 1" represents the factorial of the integer n, denoted as n!. The factorial of a non-negative integer n is the product of all positive integers less than or equal to n.

For example, let's take n = 5. The expression "5 1" would represent 5!.

5! = 5 * 4 * 3 * 2 * 1 = 120

In general, if we have n! (read as "n factorial"), it means we multiply all the positive integers from 1 to n together.

So, "n 1" is equivalent to n!, and it calculates the product of all positive integers from 1 to n.

It's important to note that the factorial operation is only defined for non-negative integers, as the concept of factorial is not applicable to other types of numbers.

Therefore, the expression "n 1" represents the factorial of n, which is the product of all positive integers less than or equal to n.

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Answer: 1/5 is a proper fraction, it can not be written as a mixed or improper fraction

Step-by-step explanation:

17/5 - 16/5

1/5

Answer:

x = 3

Step-by-step explanation:

2x - 3y - z = 7 (equation 1)

3x + 5y - 3z = -2 (equation 2)

4x – y + 2z = 17 (equation 3)

(1) * 3 : 6x - 9y - 3z = 21 (1)'

(1)' - (2) :  3x - 14 y = 23 (equation 4)

(1) * 2 : 4x - 6y - 2z = 14 (1)"

(1)" + (3) : 8x - 7y = 31 (equation 5)

(5)*2 : 16x - 14y = 62 (5)'

(5)' - (4) : 13x = 39

              x = 3

So thus, x = 3 in this system of equations, you can plug x back into equation 4 or 5 to find y and then plug x and y back into equations 1, 2, or 3 to find z

Answer:

k=1/4 and y=(1/4)x

The area of the sheet of paper in correct metric units is 602.6c\(m^{2}\).

A region's size on a plane or curved surface is expressed by the term "area," which is a mathematical concept. As opposed to surface area, which refers to the area of an open surface or the boundary of a three-dimensional object, plane region or plane area refers to the area of a form or planar lamina. Area can be thought of as the volume of material, at a particular thickness, required to create a model of the shape, or as the volume of paint required to paint the surface in a single coat. It is equivalent to the volume of a solid or the length of a curve in two dimensions (a three-dimensional concept).

Calculations:

The length of a 8 X 11 paper in metric unit is 27.9 cm and width of 8 X 11 paper in metric unit is 21.6 cm.

Area of sheet of paper=length*width

               =27.9*21.6

               =602.6 c\(m^{2}\)

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​

The required coordinate after 2 reflections is given as (-4, 6).

Given that,

Reflect (4,-6)across the y-axis. Then reflect the result across the x-axis. The coordinates of the final point are to be determined.

Coordinate, is represented as the values on x-axis and y-axis of the graph

here,
Reflection of point (4, -6) across the y-axis is given as keeping the y coordinate fixed changing multiplying the x coordinate with -1
Gives, (-4, -6)
Again, a reflection of the point (-4, -6) across the x-axis keeping the x coordinate fix multiply the y coordinate with -1.
Gives (-4, 6)

Thus, the required coordinate after 2 reflections is given as (-4, 6).

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y increases to 100 after approximately 6.7335 time units and drops to 1 after approximately 1.7273 time units. Rounded to four decimal places, the answers are:

t = 6.7335 (for y = 100)

t = 1.7273 (for y = 1)

This is a first-order differential equation with a constant coefficient, which can be solved using separation of variables:

dy/dt = k*y

dy/y = k*dt

Integrating both sides, we get:

ln(y) = k*t + C

where C is the constant of integration. Solving for y, we get:

y = e^(kt+C) = Ce^(kt)

where C = e^C is another constant of integration. Using the initial condition y(0) = y0 = 6, we get:

y = y0e^(kt)

To find the value of k, we use the fact that y increases to 100 or drops to 1:

For y = 100:

100 = 6e^(kt)

e^(k*t) = 100/6 = 50/3

k*t = ln(50/3)

t = ln(50/3)/k

For y = 1:

1 = 6e^(kt)

e^(k*t) = 1/6

k*t = ln(1/6) = -ln(6)

t = -ln(6)/k

To find the value of k, we can use either equation:

k = ln(50/3)/t = -ln(6)/t

Substituting the values, we get:

k = ln(50/3)/ln(50/3)*(-ln(6)) = -0.3293

Therefore, the equation for y is:

y = 6e^(-0.3293t)

To find the time at which y increases to 100 or drops to 1, we solve for t:

For y = 100:

100 = 6e^(-0.3293t)

t = ln(100/6)/(-0.3293) = 6.7335

For y = 1:

1 = 6e^(-0.3293t)

t = ln(1/6)/(-0.3293) = 1.7273

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The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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Answer:

Geometric construction refers to the process of drawing lines, angles, and other geometric shapes and figures using only a compass and a straightedge (usually a ruler without measurements), without use of specific measurements of length, angle,

etc. ... It can also be used to copy line segments.

Answer:

Step-by-step explanation:

I would say 8 is the greatest number

the order from least to greatest

-9,-8,-5,-3,-2,0,1,2,4,4,5,6,7,8

Answer:

It should be A & D

Step-by-step explanation:

These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.

Answer:

The person traveled 540 miles by plane and 60 miles by automobile.

Step-by-step explanation:

The options are not given to choose from, but this question can be solved as it will only have one answer.

Let the miles traveled by automobile be = x

Then, miles traveled by airplane will be = 9x

Now, the total trip length was = 600 miles

The given equation "x - 5 = y^2 " does not define y as a function of x. This is because for each value of x, there are two possible values of y. Hence, the answer to this question is No.

For example, if x = 9, then y can be either 2 or -2. This violates the definition of a function, which states that for each input there should be exactly one output.  Therefore, it is determined that the equation "x - 5 = y^2" does not define y as a function of x because for each value of x, there exist two possible values of y.

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A  small block is sent through point A with a speed of 6.8 m/s. Its path is without friction until it reaches the section of length L=14 m, where the coefficient of kinetic friction is 0.78. The indicated height are h₁ =5.4 m and h₂=2.8 m. The speeds of the block at (a) Point B is 108m/s and (b) Point C is 7.6m/s

The velocity of an object (usually denoted v) is the amount of its position change over time ; therefore it is a scalar quantity. The average speed of an object over a time interval is the distance traveled by the object divided by the duration of the interval; the instantaneous speed remains zero.

(a) At B the speed is :

   V = \(\sqrt{V^{2}+2gh_1 }\)

​⇒ V = \(\sqrt{(6.8m/s)+ 2(9.8m/s^2) (5.4)}\)

⇒ V = 108.44 m/s

⇒ V = 108 m/s

(b) Here, matters is the difference in heights (between A and C):

   \(V = \sqrt{V_0^{2}+2g(h_1+h_2) }\)

⇒  \(V = \sqrt{(6.8)+2 (9.8) (5.4- 2.8) }\)

⇒ \(V = \sqrt{6.8 +2(9.8)(2.6)}\)      

⇒ √57.76 = 7.6m/s

(c)  Using the results from part (b), we see that its kinetic energy is just at the beginning of its "rough glide" (horizontally to D) is:

1/2 m(7.6m/s)² = 28.88m (with SI units understood).

We note that this kinetic energy will turn entirely into thermal energy

    28.88m =  μₙ mgd

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Answer:

y = 8/3x - 91/3

*view attached graph*

Step-by-step explanation:

3x +8y =4

-3x    -3x

8y = -3x + 4

/8      /8

y = -3/8x + 1/2

Perpendicular lines have reciprocal slopes. So, the slope of -3/8 will now be 8/3

y = mx + b

y = 8/3x + b

-9 = 8/3(8) + b

-9 = 64/3 + b

3(-9 = 64/3 + b)

-27 = 64 + 3b

-64 -64

-91 = 3b

/3    /3

-91/3 = b

y = 8/3x - 91/3

Check your answer using (8, -9):

y = 8/3x - 91/3

-9 = 8/3(8) - 91/3

-9 = 64/3 - 91/3

-9 = -27/3

-9 = -9

This statement is true.

Hope this helps!

Answer: 9miles

Step-by-step explanation: ¾miles three days a week = 9/4 miles a week

In 4 weeks he will run 9/4 × 4/1

Answer:

Step-by-step explanation:

ISSA PARADE INSIDE MY CITY YEAHHHHH

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

-10

Step-by-step explanation:

The actual length of the dragonfly if the drawing is 8. 5 cm, can be found to be 6. 375 mm

The scale on the science textbook is such that every 4 cm of the drawing of an insect is the same as 3 mm of the actual insect.

If a drawing is 8. 5 cm therefore, the actual length of the dragonfly would be :

= ( Drawing length of dragonfly x Scale of insect ) / Drawing scale of insect

The actual length is therefore :

= ( 8. 5 x 3 ) / 4

= 6. 375 mm

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Answer:

Step-by-step explanation:

1) If you really meant X^2+12=40, then this simplifies to x^2 = 28, and therefore x = ±√28, or x = ±2√7.

2) If you meant X^2+12x=40:

a) Take half of the coefficient of x:  that would be (1/2)(12), or 6.  

b) Square this result, obtaining:  6² = 36

c) Add this 36 to x^2 + 12x + 40, and then subtract it:  We get:  

x² + 12x + 36 - 36 = 40, or x² + 12x + 36 = 76

We have to add 36, as indicated above, to "complete the square."

Answer:

Circumference of a circle = 2πr (r is radius of circle )

Total distance covered in 1000 revolution = 88km = 88000 m

=> 1000 × 2πr = 88000 m

=> 2πr = 88

=> r = 88/2π (Value of π = 22/7)

Hence , r = 14 m

Step-by-step explanation:

I don't know if that's the true answer I search that

Answer:

-5x

Step-by-step explanation:

Answer:

9\(x\) + 8 = 6

Step-by-step explanation:

The product of two numbers is the result you get when you multiply them together, so the product of \(x\) and 9 is 9\(x\)

The correct statement regarding the similarity of the triangles in this problem is given as follows:

similar; RYL by SAS similarity.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

In this problem, we have that the angle R is equals for both triangles, and the two sides between the angle R in each triangle form a proportional relationship.

Hence the SAS theorem holds true for the triangle in this problem.

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Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

The train's average speed for the entire trip is equal to 25 mph.

Given the following data:

To determine the train's average speed for the entire trip:

First of all, we would find the total distance and total time for the trip respectively.

For total distance:

\(Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30\)

Total distance = 50 miles

For total time:

\(Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1\)

Total time = 1 hour

Mathematically, average speed is given by the formula:

\(Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}\)

Average speed = 25 mph.

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