WHICH ONE IS THE ANSWER PLEASE

The type of energy the box have after it is done being pulled is "kinetic energy".

Kinetic energy is the type of energy which an item or particle has as a result of its motion. When work, that transfers energy, is performed on an item by exerting a net force, that object accelerates and obtains kinetic energy.

Now, according to the question;

The box's mass, m = 10 kg

F = 50 N, the force that occurs when the box is pulled

It has been moved 4 meters.

Friction force operating upon that box, f = 20 N

We must determine the box's initial kinetic energy. The box appears to be at rest at first. Because there is no movement in the box at the time.

The formula for box's kinetic energy is as follows:

K.E = (1/2)mv²

As velocity is given zero; v = 0.

Thus, K.E = 0.

The initial velocity of the box is zero.

Therefore, as the box starts moving its zero kinetic energy will start increasing.

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Answer:

Principal=$2000

Rate=3%

Time=3 years

Interest=P*T*R/100

=$2000*3*3/100

=$18000/100

=$180

Step-by-step explanation:

Answer:

JL = √38.

a = 1 and b = 38.

Step-by-step explanation:

Using Pythagoras:

(JL)^2 = (√8)^2 + (√30)^2

(JL)^2 = 8 + 30 = 38.

JL = √38.

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.

For instance, to multiply 3/4 by 2:

Put 2 over 1, making it 2/1, to make it a fraction.

To get 1/2, invert 2/1.

To get 3/8, multiply 3/4 by 1/2.

Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.

Hence, 1/4 is equivalent to 3/4 when divided by 2.

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1. The scatter plot has a positive linear association

2. The scatter plot here has a negative association

3. The scatter plot has a positive association

4. The scatter plot has a negative association

1. This is a positive linear association because as one of the variable increases, the other variable also increases as well. The increase is in the same proportion.

2. This is negative because as the tempretaure is rising, the same of the hot drinks are declining instead. When temperature was 20 degrees, that was when the highest amount of hot drinks was sold. That was the coldest temperature. The hotter it got, the less it was needed.

3. This is linear because the increase in one variable shows increase in another variable as well.

4. This is negative because as variable B falls, there is a rise in the variable A

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The probability of exactly 16 students having jobs in the sample is 0.204 and the probability of 16 or more students having jobs in the sample is 0.334.

Let X be the number of KSU students with jobs in a random sample of 20 students. Since each student in the sample can be either employed or not employed, X follows a binomial distribution with parameters n = 20 (the sample size) and p = 0.50 (the probability of a student having a job).

To find the probability of exactly 16 students having jobs in the sample, we can use the binomial probability mass function

P(X = 16) = (20 choose 16) * 0.5^16 * 0.5^(20-16) = 0.204

To find the probability of 16 or more students having jobs in the sample, we can use the cumulative distribution function

P(X ≥ 16) = 1 - P(X < 16) = 1 - ∑(i=0 to 15) (20 choose i) * 0.5^i * 0.5^(20-i) = 0.334

Based on the sample data, it appears that the proportion of KSU students with jobs is higher than the professor's conjectured value of 0.50. However, we cannot conclusively reject the professor's conjecture based on a single sample of 20 students.

We would need to conduct a hypothesis test with appropriate statistical significance level to determine if the difference between the sample proportion and the conjectured value is statistically significant or not.

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Answer:

Scroll Down Below...

Step-by-step explanation:

To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.

Answer:

what is this ?

Step-by-step explanation:

Step-by-step explanation:

Butas ang bulsa-walang pera

The rank of the standard matrix for T is 2, which is determined by the number of linearly independent columns in the matrix.

To find the rank of the standard matrix for the linear transformation T: R^5 → R^3, we need to determine the number of linearly independent columns in the matrix.

The standard matrix for T can be obtained by applying the transformation T to the standard basis vectors of R^5.

The standard basis vectors for R^5 are:

e1 = (1, 0, 0, 0, 0),

e2 = (0, 1, 0, 0, 0),

e3 = (0, 0, 1, 0, 0),

e4 = (0, 0, 0, 1, 0),

e5 = (0, 0, 0, 0, 1).

Applying the transformation T to these vectors, we get:

T(e1) = (1 + 0, 0 + 0 + 0, 0 + 0) = (1, 0, 0),

T(e2) = (0 + 1, 1 + 0 + 0, 0 + 0) = (1, 1, 0),

T(e3) = (0 + 0, 0 + 1 + 0, 0 + 0) = (0, 1, 0),

T(e4) = (0 + 0, 0 + 0 + 1, 1 + 0) = (0, 1, 1),

T(e5) = (0 + 0, 0 + 0 + 0, 0 + 1) = (0, 0, 1).

The standard matrix for T is then:

[1 0 0 0 0]

[1 1 0 1 0]

[0 1 0 1 1]

To find the rank of this matrix, we can perform row reduction or use the concept of linearly independent columns. By observing the columns, we see that the second column is a linear combination of the first and fourth columns. Hence, the rank of the matrix is 2.

Therefore, the rank of the standard matrix for T is 2.

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COMPLETE QUESTION - Let T: R5-+ R3 be the linear transformation defined by the formula T(x1, x2, x3, x4, x5) = (x1 + x2, x2 + x3 + x4, x4 + x5). (a) Find the rank of the standard matrix for T.

Answer: D’ (3, -6), E’ (4, -2), F’ (5, -5)

Step-by-step explanation:

If it’s reflected across the x-axis, the y coordinates become negative. Then move each coordinate 2 units to the right.

(x, y) — (x + 2, -y)

D (1, 6) — D’ (3, -6)

E (2, 2) — E’ (4, -2)

F (3, 5) — F’ (5, -5)

The correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism.

A trisomic organism is one that has an extra copy of a chromosome in its genome. This means that it has three copies of a particular chromosome instead of the usual two, which can have significant implications for the organism's development and health.

In terms of algebraic notation, the chromosome number of a trisomic organism would be denoted as 2n+1, where "n" represents the normal diploid number of chromosomes for that organism. The "2n" represents the normal two sets of chromosomes, and the "+1" represents the extra chromosome.

Therefore, the correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism. It is important to note that trisomies can occur for any chromosome, not just the sex chromosomes, and can have varying effects depending on which chromosome is affected.

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Using a branch-and-bound algorithm combined with an effective search strategy and an appropriate selection of branching rules you can find the optimal solution for an optimization model with integer decision variables.

Solving an optimization model with integer decision variables requires a branch-and-bound algorithm, which recursively partitions the feasible region into smaller sub-regions until the optimal solution is found or proven to be infeasible. An effective search strategy, such as depth-first or best-first search, is used to explore the sub-regions efficiently.

The selection of branching rules is critical to the performance of the algorithm, as it determines the order in which variables are selected for partitioning. Effective branching rules, such as the most constrained variable or the strongest branching rule, can significantly reduce the number of nodes explored and improve the chance of finding the optimal solution. Additionally, using advanced techniques, such as domain reduction and cutting planes, can further enhance the performance of the algorithm.

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The closest approximation of the volume of the cone that can be filled with flavored ice is approximately 5.379 cubic inches.

To find the volume of the cone that can be filled with flavored ice, we need to calculate the volume of the entire cone and subtract the volume of the bubble gum ball.

The volume of a cone can be calculated using the formula:

V_cone = (1/3) * π * r² * h

where r is the radius of the cone and h is the height of the cone.

Given:

Radius of the cone (r) = 1.75 inches

Height of the cone (h) = 3.5 inches

Diameter of the bubble gum ball = 0.5 inches

First, let's calculate the radius of the bubble gum ball using the diameter:

Radius of the bubble gum ball = Diameter / 2 = 0.5 / 2 = 0.25 inches

Now, we can calculate the volume of the cone:

V_cone = (1/3) * π * (1.75)² * 3.5

V_cone ≈ 5.444 cubic inches (rounded to three decimal places)

Next, let's calculate the volume of the bubble gum ball:

V_ball = (4/3) * π * (0.25)³

V_ball ≈ 0.065 cubic inches (rounded to three decimal places)

Finally, we subtract the volume of the bubble gum ball from the volume of the cone:

Volume of flavored ice = V_cone - V_ball

Volume of flavored ice ≈ 5.444 - 0.065 ≈ 5.379 cubic inches (rounded to three decimal places)

Therefore, the closest approximation of the volume of the cone that can be filled with flavored ice is approximately 5.379 cubic inches.

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Answer:

\(x \alpha y\)

that is the variation

x=ky

Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

Answer:2^9

Step-by-step explanation:

The student multiplied the exponents instead of adding the exponents.

Hope this helps.

Answer:

1) x = 2 and y = -2

2) x = 6 and y = 5

3) x = 2 and y = -4

Step-by-step explanation:

1) 3x + y = 4

since y = -x subtitute it in the equation

3x + (-x) = 4

3x - x = 4

2x = 4

x = 4\2

x = 2

y = -2

2) 4x - y = 19

since y = x - 1 subtitute it in the equation

4x - (x - 1) = 19

4x - x + 1 = 19

3x = 19 - 1

3x = 18

x = 18\3

x = 6

y = 6 - 1 = 5

3) y = 3x - 10

y - 3x = -10

since 2x + y = 0

thus y = -2x subtitute in equation

-2x - 3x = -10

-5x = -10

x = -10\-5

x = 2

y = -2 * 2 = -4

Answer:

x = 7.272727...

x ~= 7.27 (nearest hundredth)

x ~= 7.3 (nearest tenth)

Step-by-step explanation:

"Supplementary" means the angles add up to 180°.

100 + 11x = 180

11x = 80

x = 7.272727...

The researchers employed a scientific method known as Ethnography.

Ethnography to study the recorded data. Ethnography is a method of research that involves the systematic study of people and cultures, often through the use of participant observation and the collection of detailed field notes. In this case, the researchers used the recordings to gain an understanding of the student's daily activities and how they were affected by their environment.

The researcher also often conducts in-depth interviews, focus groups, or surveys with group members to comprehensively understand their perspectives and experiences.

Ethnography can be applied in various fields, including anthropology, sociology, education, and business. It is commonly used to study communities, organizations, and other social groups.

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False. A linear programming problem can include more than one decision variable. Linear programming is a mathematical method used to find the optimal solution for a problem with multiple constraints and objectives, often related to maximizing or minimizing a certain value.

Decision variables are the variables that determine the potential solutions, and their values can be changed to affect the outcomes.

In many practical situations, there are multiple decision variables involved. For instance, a company may need to determine the optimal production quantities for different products, subject to resource constraints and market demands. In this case, the decision variables would represent the production quantities for each product, and there would be more than one variable.

In conclusion, the statement that a linear programming problem cannot include more than one decision variable is false. Multiple decision variables can be present in a linear programming formulation to address complex problems that involve multiple choices and constraints.

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When a shape is reflected, it must be reflected across a line

See attachment for the graphs of JKL and its image

The given parameters are:

\(\mathbf{J = (3,-5)}\)

\(\mathbf{K = (4,-1)}\)

\(\mathbf{L = (0,-3)}\)

The rule of reflection across line \(\mathbf{y = -3}\) is:

\(\mathbf{(x,y) \to (x,-y - 6)}\)

So, we have:

\(\mathbf{J' = (3,5 - 6) = (3,-1)}\)

\(\mathbf{K' = (4,1 - 6) = (4,-5)}\)

\(\mathbf{L' = (0,3 - 6) = (0,-3)}\)

This means that, the coordinates of the image of JKL are:

\(\mathbf{J' = (3,-1)}\)

\(\mathbf{K' = (4,-5)}\)

\(\mathbf{L' = (0,-3)}\)

See attachment for the graphs of JKL and its image

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Here we need to compare the prices of buying something in different places.

We will find that the neighborhood store is cheaper and it takes less time, so it is the better option.

You want to buy 5 pounds of chicken.

In your neighborhood store the price is $3.39 per pound, then for 5 pounds the price will be:

5*$3.39 = $16.95

And it is 2.3 miles away, knowing that with one gallon you can travel 21 miles, for this drive you will need:

(2*2.3 miles)/(21 miles/gal) = 0.22 gallons.

The numerator has a factor of 2 because you need to go there and go back, so you travel that distance two times.

And each gallon costs $3.60, then the cost in gas is:

0.22 gallons*$3.60 = $0.79

Then the total cost is:

C = $16.95 + $0.79 = $17.74

In the other store the price is $3.29 per pound, then the price for 5 pounds will be:

5*$3.29 = $16.45

Now you need to travel 8.7 miles twice, then the total amount of gas that you need is:

(2*8.7 miles)/(21 miles/gal) = 0.83 gals

Then the cost in gas is:

0.83*$3.60 = $2.99

Then the total cost in this case is:

C' = $16.45 + $2.99 = $19.44

So we can see that the cost in the store across town is larger, and it takes more time, so it would be better to go to the neighborhood store.

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Answer: ITS C ( -4,-2,3)

Answer:

C

Step-by-step explanation:

Ed2021

Answer:

£699 in London

£902.87 in Paris

£1505.63 in New York

The lowest price of the iPhone is £699 in London.

Based on the given information, when x equals 9, the regression line predicts that log(y) will equal 3.992. To find the predicted value of y when x is 9, you will need to apply the inverse transformation to the logarithmic value.  

The inverse transformation of log(y) is achieved by using the exponential function. Specifically, you can use the formula:

y = 10^(log(y))

In this case, since log(y) = 3.992, you can plug this value into the formula:

y = 10^(3.992)

When you calculate this, you will find that y ≈ 9762.97. Rounded to the nearest whole number, the regression line predicts that y will equal 9763 when x equals 9.

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