What is the numerator in the sum? 2(x 1)(x – 2)(x – 4) 3(x 1)(x – 2)(x – 4) 2(x – 2)(x – 4) 3(x 1)(x – 4) 2(x – 2) 3(x 1).

Answer:

The circumference is:

\(C=52.8\: ft\)

Step-by-step explanation:

The equation of the circumference of a circle is given by:

\(C=2\pi R\)

Where:

R is the radius of the circle (R=8.4 ft)

Therefore, the circumference will be:

\(C=2\pi*8.4\)

\(C=2(3.14)8.4\)

\(C=52.8\: ft\)

I hope it helps you!

Answer:

44 fluid ounces.

Step-by-step explanation:

It's important to keep in mind that 1 ton is 2,000 pounds.

5 x 2,000 = 10,000 pounds.

You have to add 1,000 pounds because of the '.5' at the end of the 5. That leaves you with 11,000 pounds.

Now, you have to divide by 250 to find how many fluid ounces you need.

\(\frac{11,000}{250}\) = 44.

You need 44 fluid ounces of supplement.

Answer:

44

Step-by-step explanation:

The statement that is false of quadrilaterals is C. Adjacent angles in a parallelogram are complementary.

In the tapestry of geometrical relationships, adjacent angles within a parallelogram are not bestowed with the nature of complementarity. Rather, they exhibit a distinct quality known as supplementary.

Unlike the enchanting dance of complementary angles, which combine to form a sum of 90 degrees, adjacent angles in a parallelogram intertwine their measures to yield a sum of 180 degrees. The allure of the parallelogram resides in the congruence of its opposite angles, not the complementarity of its adjacent angles.

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Answer : These are points on a coordinate plane

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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The dilation is centered at the origin and has a scale factor of 0.5.

Here are the steps to find the image coordinates using a dilation centered at the origin with a scale factor of 0.5:

Write down the coordinates of the pre-image points.

P(-4, 2), L(2, 4), A(2, -4), Y(-4, -2)

Multiply each coordinate by the scale factor of 0.5.

P' = (0.5 × -4, 0.5 × 2) = (-2, 1)

L' = (0.5 × 2, 0.5 × 4) = (1, 2)

A' = (0.5 × 2, 0.5 × -4) = (1, -2)

Y' = (0.5 × -4, 0.5 × -2) = (-2, -1)

Write down the image coordinates.

P'(-2, 1), L'(1, 2), A'(1, -2), Y'(-2, -1)

Therefore, the dilation centered at the origin with a scale factor of 0.5 maps the points P(-4, 2), L(2, 4), A(2, -4), Y(-4, -2) to their respective images P'(-2, 1), L'(1, 2), A'(1, -2), Y'(-2, -1).

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Image transcribed:

Use coordinate notation to describe the dilation. Express the scale factor as a decimal if necessary.

Answer:

They were allotted 2725.44 meters² of land.

Step-by-step explanation:

Well a member of the Alden family gets 16.7 meters×40.8 meters or 681.36 meters². Now since there are 4 of them, we multiply how much land one Alden family gets by 4 members.

681.36 m²×4 people = 2725.44 meters²

Answer:

2,725.44 square meters

Step-by-step explanation:

We can do all of the necessary math at once:

(16.7 m)(40.8 m)(4 persons) = 2,725.44 square meters

The important thing needed for the research are given below.

Step 1: Gather materials and necessary information

To start, you need to determine your career and college choice. Research job outlooks and the cities where your chosen job is located. Research options for colleges offering programs for your career choice and narrow it down to one college. Find the fees at that college, including tuition, other student fees, books and supplies, room and board, and other expenses (such as clothing, laundry, recreation, transportation). Find as many options as possible to help pay for your chosen college, such as financial aid, scholarships, and places to work while in college. Keep a list of your references.

Step 2: Create a spreadsheet for the cost of your first year of college

Plan all your costs in a spreadsheet, including your on- and off-campus expenses. Multiply your total by 2 or 4, depending on the type of college you plan to attend. Insert an image of the spreadsheet into your report, and remember to save your work.

Step 3: Create a spreadsheet for your savings plan

Plan a reasonable amount to save monthly for the time before you go to college. Use a monthly interest rate of 4%. Find the best interest rate and use that in your spreadsheet. Discuss in your report your savings plan and the amount you will have when you go to college. Remember to keep a list of your references.

Step 4: Create your report

Introduce your career and college choice. Discuss the cost of living and the job outlook in the city where your choices are located. Decide whether to live on or off campus. Show a picture of your spreadsheet in this part of your report. Discuss the type of job you will obtain while in college. Decide whether you will use a car or public transportation. Discuss your approach to paying for utilities. Discuss your savings plan and the results of your spreadsheet. Discuss additional options to help pay for college, such as grants, scholarships, work-study, parental help, and loans.

Lastly, conclude your report. Talk about how you feel about paying for your first year of college and your choices. Add any advice you think may help others with their choices. Remember to save your work as you go.

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The answer to your question is that the only way to demonstrate causation is to conduct a controlled experiment. This domain involves manipulating one variable and measuring the effect it has on another variable while holding all other variables constant.

correlation simply shows a relationship between two variables, but it doesn't prove that one variable causes the other. There could be other factors at play that are influencing both variables. For example, there may be a correlation between ice cream sales and crime rates, but this doesn't mean that ice cream causes crime or vice versa. It's possible that a third variable, such as temperature, is influencing both ice cream sales and crime rates.

further into the complexities of establishing causation, such as the need for random assignment in experimental studies, the importance of replicating findings, and the challenges of applying experimental findings to real-world situations. However, the key point is that a controlled experiment is the most reliable method for establishing a causal relationship between variables.

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The first polynomial has 2 incongruent roots modulo 13, and the second polynomial has 0 incongruent roots modulo 13.

To find the number of incongruent roots modulo 13 for the given polynomials, we will examine them separately.

For the polynomial \(x^2 + 3x + 2\), we can test each possible value of x (0 to 12) to check for roots modulo 13. After testing, we find that x=4 and x=9 are roots, as they satisfy the equation\((4^2 + 3*4 + 2)\) ≡ 0 (mod 13) and \((9^2 + 3*9 + 2)\) ≡ 0 (mod 13).

Therefore, there are 2 incongruent roots modulo 13 for this polynomial.

For the polynomial \(x^4 + x^2 + x + 1\), we again test each possible value of x (0 to 12) modulo 13. In this case, we find no values of x satisfying the equation\(x^4 + x^2 + x + 1\) ≡ 0 (mod 13). Thus, there are 0 incongruent roots modulo 13 for this polynomial.

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Answer:

- 8

Step-by-step explanation:

- 8 × 2 - (- 8)

- 8 × 2 + 8

- 16 + 8

- 8

Answer:

-8 i think

Step-by-step explanation:

-8 * 2 + 8

-16 + 8

-8

The slope of the line passing through the points (5, -4) and (0, 8) is -12/5.

To find the slope of a line passing through two points, we can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

Given the points (5, -4) and (0, 8), the change in y-coordinates is 8 - (-4) = 12, and the change in x-coordinates is 0 - 5 = -5. Substituting these values into the formula, we have:

slope = 12 / (-5) = -12/5

Therefore, the slope of the line passing through the given points is -12/5.

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The salesman A must make 150 order to make the same amount of salesman B .

In the question ,

it is given that ,

Salesman A gets paid $300 per month

for every sale salesman A get $8 .

let the number of sales made by salesman A be "x" .

So, amount made by salesman A = 300 + 8x

Salesman B earns per month = $1500 .

To make the amount earned by both the salesman same ,

300 + 8x = 1500

8x = 1500 - 300

8x = 1200

x = 1200/8

x = 150

Therefore , The salesman A must make 150 order to make the same amount of salesman B .

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So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

Given

r= 2cost and theta = 9t

To Find

the velocity and acceleration vector

Solution

We can start by expressing the position vector r in terms of the Cartesian coordinates x and y:

x = r cos(theta) = 2cos(t)

y = r sin(theta) = 2sin(t)

To find the velocity vector, we can take the time derivative of the position vector:

v = (dx/dt) i + (dy/dt) j

where i and j are the unit vectors in the x and y directions, respectively.

Taking the derivatives:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Substituting these back into the velocity vector equation:

v = (-2sin(t)) i + (2cos(t)) j

To find the acceleration vector, we can take the time derivative of the velocity vector:

a = (d^2x/dt^2) i + (d^2y/dt^2) j

Taking the derivatives:

d^2x/dt^2 = -2cos(t)

d^2y/dt^2 = -2sin(t)

Substituting these back into the acceleration vector equation:

a = (-2cos(t)) i + (-2sin(t)) j

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

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Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248.

The correct answer is B. $263.50, which is calculated by taking the standard pay of 40 hours at $6.20 per hour ($248) and adding the time-and-a-half pay of 2.5 hours at $9.30 per hour ($23.25).

Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248. The remaining 2.5 hours would be paid at time-and-a-half, which is 1.5 times the hourly rate of $6.20, equaling $9.30 per hour. The total pay for the 2.5 hours is therefore $9.30 x 2.5 hours = $23.25. Adding the standard pay of $248 to the time-and-a-half pay of $23.25 yields a total of $263.50. Therefore, the correct answer is B. $263.50.

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Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

The work done to lift a 90 kg weight by 75 cm is approximately 661.5 joules.

Para calcular el trabajo realizado al elevar una pesa de 90 kg a una altura de 75 cm sobre el piso, necesitamos conocer la fuerza necesaria para levantar la pesa y la distancia que recorre la pesa para llegar a su altura máxima.

El trabajo se define como la energía necesaria para mover un objeto a través de una distancia determinada, y se calcula como el producto de la fuerza aplicada y la distancia recorrida.

En este caso, la fuerza necesaria para levantar la pesa es igual a su peso, que se calcula como su masa multiplicada por la aceleración debido a la gravedad (9.8 m/s²):

peso = masa x gravedad

    = 90 kg x 9.8 m/s²

    = 882 N

La distancia que recorre la pesa para elevarse 75 cm (o 0.75 m) es:

distancia = 0.75 m

Por lo tanto, el trabajo realizado al elevar la pesa es:

trabajo = fuerza x distancia

       = 882 N x 0.75 m

       = 661.5 J

Por lo tanto, se requiere un trabajo de 661.5 J para elevar una pesa de 90 kg a una altura de 75 cm sobre el piso.

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Answer:

A. $115; $72/hour

B. c = 72h + 115

C. $8

Step-by-step explanation:

Part A.

1 hour: $187

2 hours: $259

2 hours - 1 hour = 1 hour

$259 - $187 = $72

$72/hour

The hourly rate is $72/hour.

Since for the first hour he charges $187, and only $72 comes from the hourly rate, then the initial cost is $187 - $72 = $115.

The initial cost is $115.

Part B.

c = 72h + 115

Part C.

Carpenter L for 6 hours:

c = 72(6) + 115 = 547

$547

Carpenter N for 6 hours:

60(6) + 195 = 555

$555

Difference: $555 - $547 = $8

6 students can be seated in a row of 6 chairs in 121 ways.

Given,

Number of students = 6

Number of chairs = 6

We have to find the number of ways the students can be seated in a row.

Here,

Jack insists on sitting in the first chair.

So, 1 way of sitting for jack.

Next,

5 students and 5 chairs are there.

So they can sit in;

5! = 120 ways

Therefore,

Total number of way of sitting is 120 + 1 = 121 ways.

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Answer:

D

Step-by-step explanation:

When 2 angles are congruent and corresponding, the lines are parallel

20 cm³  is the volume of the prism..

What is prism formula?

Given rectangular prism is made up of small cubes of volume 1 cubic centimeter.

To find volume of rectangular prism.

Volume of rectangular prism is = length × width × height

We know that all sides of a cube are equal in measure.

So, we will count the number of cubes on each side to get the exact measure.

Length side = 4 cubes = 5 cm

Width side = 2 cubes = 2 cm

Height side = 2 cubes = 2 cm

Thus volume of rectangular prism =5 cm × 2 cm × 2 cm

Volume of rectangular prism = 20 cm³

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Answer:

-250

Step-by-step explanation:

assuming he starts at 0 pts -50 * 5 = -250

The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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Answer:

8

Step-by-step explanation:

Given the expression

4t^6-r^10 we are to factorize in the form;

(2t^x+r^y)(2t^x-r^y)

First we need to factorize (2t^x+r^y)(2t^x-r^y)

\(= (2t^x+r^y)(2t^x-r^y)\\= 4t^{2x}-2t^xr^y + 2t^xr^y - r^{2y}\\= 4t^{2x}-r^{2y}\)

Compare \(4t^{2x}-r^{2y} \ with \ 4t^6-r^{10}\)

\(4t^{2x} = 4t^6\\t^{2x} = t^6\\equate \ the \ powers\\2x = 6\\x = 3\\\)

Get y;

\(r^{2y} = r^{10}\\2y = 10\\y = 5\\Hence \ x + y = 3+5 = 8\)

Hence the sum of x and y is 8

-9-(-12)=-9+12

          =3

-9-12=-9+(-12)

       =-21

Answer:

x = 8b + 3

Step-by-step explanation:

BRAINLIST PLZ

Answer:

x = 8b + 3

Step-by-step explanation:

x = 8b + 3

You can kick "b" balls in 2 minutes. There are 8 two-minute intervals in 16. So 8 is multiplied by "b" soccer balls. 3 is the extra number of balls kicked after the break. x is the total number of soccer balls kicked.

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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Answer:

didn't i answer this on your last post?