a chain lying on the ground is 10 m long and its mass is 80 kg. how much work (in j) is required to raise one end of the chain to a height of 6 m? (use 9.8 m/s2 for g.)

Answer:2

Step-by-step explanation:

x is located on the horizontal line, so when we look at 3 on the horizontal and trace that line up to where it hits the red line of the function you will find y, the vertical value which is 2

Answer:

a : 16

b: 10

c: 13

Answer:

1. 17 units

2. 11 units

3. 14 units

Step-by-step explanation:

1. -8 is 8 units from 0, +9 is 9 units from zero. Distance is positive so 8+9 = 17

The same counts for the other two:

2. -4 is 4 units from 0, +7 is 7 units from zero. 4+7 = 11

3. -7 is 7 units from 0, +7  is 7 units from zero. 7+7 = 14

Hope this helps! :)

And get some rest!

Step-by-step explanation:

p-4=2p-14

p-2p=-14+4

-p=-10

p=10

Answer:

\(\frac{3}{2}\)

Step-by-step explanation

  The slope of a perpendicular line would be (-x) if the slope of the original line was (x).

  The formula for finding slope is:

\(\frac{y_2-y_1}{x_2-x_1}\)

Inserting your problem would make the equation look like:

\(\frac{5-8}{-2+4}\)

Simplify:

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

That is the slope of the given line, to find the slope of the line perpendicular to that one, we would put into (-x)

Answer:

\(\frac{3}{2}\)

The answer to part a) is that next year, in 2023, NCSSM will use approximately 55,485 sheets of paper. In part b), total of approximately 363,353 sheets of paper will be used from 2018 through the end of 2030.


a) To calculate the paper used in 2023, we start with the initial amount used in 2018, which is given as 60,000 sheets of paper. We then need to calculate the decrease in paper use over the years. The rate of decrease is given as 2.25%, which can be written as 0.0225 in decimal form. To find the paper used in 2023, we multiply the initial amount by (1 - rate of decrease)^5, since five years have passed from 2018 to 2023.

b) To calculate the total paper used from 2018 to 2030, we need to sum up the paper used for each year in that time period. We start with the initial amount used in 2018, which is 60,000 sheets. Then we calculate the paper used each year using the same formula as in part a), multiplying the initial amount by (1 - rate of decrease)^n, where n represents the number of years since 2018. We sum up these values for the years 2018 to 2030, which is a total of 13 years.

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Answer:

6 miles

Step-by-step explanation:

6 times 4 = 24

Answer:

10 mph, 1 5/9

Step-by-step explanation:

Set up a ratio:

4/24 = x/60

Cross multiply and solve

4 * 60 = 24x

240 = 24x

10 = x, 10 mph

10 gallons every 45 days is ever 6 3/7 weeks

10 divided by 6 3/7

10 divided by 45/7=

10 times 7/45 = 70/45, = 14/9 = 1 5/9

Answer:

it would be 3rd one

Step-by-step explanation:

(2a)3 = (8a)3

(4b)3=64b3

simplify= (8ab)3

Answer: 1/5^6 = 1/15625

Step-by-step explanation:

The different possible combinations are 5 to the power of 6, and one of those will fit our requirements. Thus, the probability is 1/5^6 = 1/15625

To solve for p, we have to use inversal operations to solve equations, multiplication and division are inverse operations, power and roots are also inverse operations, then:

By using the concept of rate of change, it can be calculated that-

The cord is moving out at the rate of 10.08 km/h

What is rate of change?

Rate of change of a function measures how one quantity changes with respect to another quantity or with respect to time

Here the concept of rate of change will be used

Height of the kite = 24 m

Length of chord  = 25 m

Let x horizontal distance, y be the height of the kite and l is the length of the chord

The chord, the vertical and the horizontal distance together make a right angled triangle.

By Pythagoras Theorem,

\(x^2+y^2 = r^2\)

Differentiating both sides with respect to t

\(2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2r \frac{dr}{dt}\\x\frac{dx}{dt} + y\frac{dy}{dt} = r \frac{dr}{dt}\)

Now,

x = \(\sqrt{25^2 - 24^2}\)

\(x = \sqrt{625 - 576}\\x = \sqrt{49}\\x = 7 \ m\)

Putting x = 7, \(\frac{dx}{dt} = 36, \frac{dy}{dt} = 0, r = 25\)

\(7 \times 36 + 0 = 25 \times \frac{dr}{dt}\)

\(\frac{dr}{dt} =\frac{7 \times 36}{25}\)

\(\frac{dr}{dt} = 10.08 \ km/h\)

The cord is moving out at the rate of 10.08 km/h

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Answer:

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The agent must be designed to be able to navigate the hexagonal grid, identify when to push or pull a widget, and rotate in the appropriate direction to complete tasks. HExBOT is a term used to describe hexagonal robots designed to solve certain problems or perform specific tasks.

However, designing a HExBOT agent is not always easy, and there are several challenging aspects that must be considered when designing it. These include the hexagonal grid, the asymmetric cost of actions (pushing is more expensive than pulling a widget), and the rotation of the agent. The hexagonal grid is a challenging aspect of designing a HExBOT agent because it is not the traditional rectangular or square grid used in most robot designs. The hexagonal grid is more complex, and it requires the agent to be able to navigate through it while avoiding obstacles and staying on track.

Additionally, the hexagonal grid requires the agent to be able to rotate around a hexagon, which can be challenging for a robot designed for a rectangular grid.The asymmetric cost of actions is another challenging aspect of designing a HExBOT agent. Pushing a widget requires more energy and effort than pulling a widget, so the agent must be designed to take this into account. Additionally, the agent must be able to identify when it is more efficient to push or pull a widget, and it must be able to do so without wasting energy or time.

The rotation of the agent is also a challenging aspect of designing a HExBOT agent. The agent must be able to rotate around a hexagon, which is not always easy to do. Additionally, the agent must be able to identify when it needs to rotate and in which direction it needs to rotate to complete a task or avoid obstacles.In conclusion, designing a HExBOT agent can be challenging due to the hexagonal grid, the asymmetric cost of actions, and the rotation of the agent.

To overcome these challenges, the agent must be designed to be able to navigate the hexagonal grid, identify when to push or pull a widget, and rotate in the appropriate direction to complete tasks.

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The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

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

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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The number of players the team can bring to the tournament would be = 24 players

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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Answer:

D. -1.560x + 22.105

The two matrices X and Y which are d x d and invertible and XY X,  X +Y, [SS [X 0 0 Y] and [X X+Y ; 0 Y] all four given matrices are invertible.

XYX:This matrix is invertible. To see why, note that the product of invertible matrices is also invertible and that the inverse of a product of matrices is the product of the inverses in reverse order. So, we have:

(XYX)^(-1) = (X^(-1))(Y^(-1))(X^(-1))

This shows that the inverse of XYX exists and is given by the above formula. Therefore, XYX is invertible.

X+Y: This matrix may or may not be invertible. To determine this, we need to find out whether there exists a matrix Z such that (X+Y)Z=I, where I is the identity matrix. We have:

(X+Y)Z = I

XZ + YZ = I

Assuming that X and Y are both invertible, we can multiply both sides of the above equation by X^(-1) to obtain:

Z + X^(-1)YZ = X^(-1)

If we can find a matrix W such that YZ = W - X, then we can substitute this into the above equation to get:

Z + X^(-1)(W-X) = X^(-1)

Z + X^(-1)W - I = 0

This shows that the equation Z + X^(-1)W - I = 0 has a solution for Z if and only if X^(-1)W-I is invertible. Therefore, X+Y is invertible if and only if X^(-1)Y or Y^(-1)X is invertible.

[S S ; X 0 0 Y]: This matrix is invertible. To see why, we can use the block matrix determinant formula, which states that the determinant of a block matrix is equal to the determinant of the diagonal blocks minus the product of the off-diagonal blocks. In this case, we have:

det([S S ; X 0 0 Y]) = det(S)det(Y) - det(SX)det(X^(-1)Y)

= det(S)det(Y) - det(X)det(Y)

= det(S)det(Y) - det(X)det(Y)

= det(S - X)det(Y)

Since X and Y are invertible, their determinants are nonzero. Therefore, the determinant of the matrix is nonzero if and only if det(S-X) is nonzero. This shows that the matrix is invertible if and only if S-X is invertible.

[X X+Y ; 0 Y]: This matrix is invertible. To see why, we can again use the block matrix determinant formula. We have:

det([X X+Y ; 0 Y]) = det(X)det(Y) - det(X+Y)det(X^(-1)Y)

= det(X)det(Y) - det(X)det(Y^(-1)(X+Y))

= det(X)(det(Y) - det(X+Y))

Since X and Y are invertible, their determinants are nonzero. Therefore, the determinant of the matrix is nonzero if and only if det(Y)-det(X+Y) is nonzero. This shows that the matrix is invertible if and only if det(Y)-det(X+Y) is nonzero.

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Answer:

yes sir burrito

Step-by-step explanation:

Answer:

16.8916

Step-by-step explanation:

magik

Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

Answer:

8.785 × \(10^{9}\)  

I hope this helps!

Population density=Total population/Total area

#Chicago

Population density

#Los angeles

Population density

Difference

The population density of Chicago is 3741.9 greater than Los Angele's population density.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics,  notably algebra, data management, and geometry.

As per the given information in the question,

The population density is the ratio of the total population to the total area.

Total population of Chicago = 2,707,120

The land area of Chicago = 227.635

Then, the population density of Chicago will be:

= 2,707,120/227.635

= 11892.37

Total population of Los Angeles =  3,819,702

The land area of Los Angeles = 468.670

Then, the population density of Los Angeles will be:

= 3,819,702/468.670

= 8150.08

Then, the difference between Chicago and Los Angeles will be:

= 11892.37 - 8150.08

= 3741.9

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Answer:

6

Step-by-step explanation:

Well, in this case we can take a as the protagonist.

We can, for example, take the a in the first member of the disequation, the 2 in the second one, changing the signs

so

+ 2 > - a

a > - 2

In fact,

"If 2 > - a, then a > -2."

Answer:

Step-by-step explanation:

The way I see it is that since it has no thousandths place then the answer should be 197.82.

Answer:

1/6

Step-by-step explanation:

Given problem,

→ (7/12) - (5/12)

Let's solve the problem,

→ (7/12) - (5/12)

→ (7 - 5)/12

→ 2/12

→ 1/6

Hence, the answer is 1/6.

(f + g)(6) = 39 represents the total number of animals adopted by both shelters in 6 months, based on the combined adoption rates of the two shelters.

Part A:

To find (f + g)(x), we add the functions f(x) and g(x):

(f + g)(x) = f(x) + g(x)

= (3x + 10) + (x + 5) (substitute the given functions)

= 4x + 15 (combine like terms)

Therefore, (f + g)(x) = 4x + 15.

Part B:

To evaluate (f + g)(6), we substitute x = 6 into the (f + g)(x) function:

(f + g)(6) = 4(6) + 15

= 24 + 15

= 39

Therefore, (f + g)(6) = 39.

Part C:

The value of (f + g)(6) represents the combined number of animals adopted by both shelters after 6 months. The function (f + g)(x) gives us the total adoption rate of the two shelters at any given time x. When x = 6, the combined adoption rate was 39 animals.

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The student must read 46 pages.

1. To find out how many pages the student must read, we need to calculate the difference between the starting page and the ending page.

2. The starting page is 326 and the ending page is the bottom of page 371.

3. Since we know that each page is counted individually, we subtract 326 from 371 to find the number of pages in between.

  371 - 326 = 45

4. However, we must also include the starting page, so we add 1 to the result.

  45 + 1 = 46

5. Therefore, the student must read 46 pages in total.

In conclusion, the student must read 46 pages in order to cover the last chapter of the book, which starts on page 326 and ends at the bottom of page 371.

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