Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 43000 miles in 5 hours. The graph below represents the number of miles, y, that the satellite, Space Explorer A, flies in x hours.

The marginal probability mass function px(x) is:

Px(0) = 0.26

Px(1) = 0.48

Px(2) = 0.26

We have to determine the marginal probability mass function px(x).

We determine the total of each value of y(0, 1, 2) at x = 0 to evaluate the value of Px(0).

The values of y(0, 1, 2) at x = 0 is:

Px(0) = Py(0) + Py(1) + Py(2)

Px(0) = 0.10 + 0.11 + 0.05

Px(0) = 0.26

We determine the total of each value of y(0, 1, 2) at x = 1 to evaluate the value of Px(1).

The values of y(0, 1, 2) at x = 1 is:

Px(1) = Py(0) + Py(1) + Py(2)

Px(1) = 0.17 + 0.23 + 0.08

Px(1) = 0.48

We determine the total of each value of y(0, 1, 2) at x = 2 to evaluate the value of Px(2).

The values of y(0, 1, 2) at x = 2 is:

Px(2) = Py(0) + Py(1) + Py(2)

Px(2) = 0.06 + 0.14 + 0.06

Px(2) = 0.26

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The complete question is:

The joint probability mass function of random variable X and Y is given in the following table:

                                       y

X                   0                1                 2

0                   0.10           0.11            0.05

1                    0.17           0.23           0.08

2                   0.06          0.14            0.06

Find the marginal probability mass function px(x). Round the answers to two decimal places.

Px(0) =

Px(1) =

Px(2) =

The joint probabilities are: P(A and B) = 0.36, P(A and C) = 0.1, P(AC and B) = 0.07.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 cannot occur, and an event with probability 1 is certain to occur. The probability of an event A is usually written as P(A) and is calculated as the number of favorable outcomes divided by the total number of possible outcomes in the sample space. For example, if a fair six-sided die is rolled, the sample space is the set of all possible outcomes (1, 2, 3, 4, 5, 6), and the probability of rolling a 4 is 1/6. Probability is used in many fields to make predictions, draw inferences, and make decisions under uncertainty.

We can use the formula for conditional probability to calculate the joint probabilities:

P(A and B) = P(B | A) * P(A) = .4 * .9 = .36

P(A and C) = P(A) * P(C | A) = .9 * P(C) / P(A) = .9 * .1 / .9 = .1

P(AC and B) = P(B | AC) * P(AC) = .7 * .1 = .07

So, the joint probabilities are:

P(A and B) = .36

P(A and C) = .1

P(AC and B) = .07

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Calculating the mean amount of time that these students spent on the internet yesterday it is not appropriate because sample is a convenience sample to determine condition for population mean.

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

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Answer:

y<=5

Step-by-step explanation:

Answer:

$119.25.

Step-by-step explanation:

Let's call the deposit amount "D".

Starting balance: $654.98

Check amount: -$321.45

Deposit: +D

Ending balance: $452.78

So, we can set up an equation:

$654.98 - $321.45 + D = $452.78

Solving for D:

$654.98 - $321.45 + D = $452.78

$333.53 + D = $452.78

D = $119.25

So the deposit amount was $119.25.

The probability that all 5 customers order pepperoni pizza is 0.2457 and the probability that at least 1 customer doesn't order pepperoni pizza is 0.7543.

We can calculate the probability that all 5 customers order pepperoni pizza by multiplying the probability that each individual customer orders pepperoni pizza.

The probability of each customer ordering pepperoni pizza is 72%. Therefore, the probability that all 5 customers order pepperoni pizza is (0.72)^5 = 0.2457.

We can calculate the probability that at least 1 customer doesn't order pepperoni pizza by subtracting the probability that all 5 customers order a pepperoni pizza from 1.

Hence, The probability that at least 1 customer doesn't order pepperoni pizza is 1 - 0.2457 = 0.7543.

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The system of equation have 0 = 0, so this system must have infinitely many solutions.

The system of equations are:

-x(1) + 3x(2) - 2x(3) = 4,

-x(1) + 4x(2) − 3x(3) = 5,

-x(1) + 5x(2) - 4x(3) = 6

An approach for resolving networks of linear equations is called Gaussian elimination, commonly referred to as row reduction. It comprises of a series of operations carried out on the relevant coefficients matrix.

[tex]\left [ \begin{matrix}-1 &3 & -2\\ -1 &4 &-3 \\ -1&5 & -4\end{matrix} \right ]\begin{bmatrix}x(1)\\ x(2)\\ x(3)\end{bmatrix}=\begin{bmatrix}4\\ 5\\ 6\end{bmatrix}[/tex]

The matrix is in the form of

[A][X] = [D]

To solve the matrix we represent the matrix in the form of [A : D]

Now writing the augmented matrix

[tex]\left [ \left.\begin{matrix}-1 &3 & -2\\ -1 &4 &-3 \\ -1&5 & -4 \end{matrix}\right| \begin{matrix}4\\5 \\6 \end{matrix}\right ][/tex]

Now solving the matrix

R(2)→R(2) - R(1) and R(3)→R(3) - R(1)

[tex]\left [ \left.\begin{matrix}-1 &3 & -2\\ 0 &1 &-1 \\ 0&2 & -2 \end{matrix}\right| \begin{matrix}4\\1 \\2 \end{matrix}\right ][/tex]

R(1)→R(1) - R(3)

[tex]\left [ \left.\begin{matrix}-1 &1 & 0\\ 0 &1 &-1 \\ 0&2 & -2 \end{matrix}\right| \begin{matrix}2\\1 \\2 \end{matrix}\right ][/tex]

R(3)→R(3) - 2R(2)

[tex]\left [ \left.\begin{matrix}-1 &1 & 0\\ 0 &1 &-1 \\ 0&0 & 0 \end{matrix}\right| \begin{matrix}2\\1 \\0 \end{matrix}\right ][/tex]

Now we can see that the last every elements are zero, which shows

0 = 0

So the system of equation have infinitely many solutions.

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The complete question is:

Attempt to solve the system

-x(1) + 3x(2) - 2x(3) = 4,

-x(1) + 4x(2) − 3x(3) = 5,

-x(1) + 5x(2) - 4x(3) = 6,

using gaussian elimination and explain why this system must have infinitely many solutions.

The probability of randomly drawing a consonant is 5/8

From the question, we have the following parameters that can be used in our computation:

D, E, C, I, M, A, L, S,

In the above word, we have

Consonant = 5

Letters = 8

So, we have

Probability of consonant = 5/8

Hence, the required probability is 5/8

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Answer: the answer is 5/8

Step-by-step explanation:

If you use the 5 letters

The function g(x) graphed here, the limit of g(x) as x approaches -2 is -1, the limit of g(x) as x approaches -1 is 2, and the limit of g(x) as x approaches 0 is 3.

a. limx→−2g(x)

= g(-2)

= -1

Therefore, the limit of g(x) as x approaches -2 is -1.

b. limx→−1g(x)

= g(-1)

= 2

Therefore, the limit of g(x) as x approaches -1 is 2.

c. limx→0g(x)

= g(0)

= 3

Therefore, the limit of g(x) as x approaches 0 is 3.

d. There is no limit of g(x) as x approaches infinity because the graph of the function is not defined at infinity. However, there is no limit of g(x) as x approaches infinity because the graph of the function is not defined at infinity.

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If a pair of linear equations in two variables have no solution then the pair of lines are​ inconsistent or parallel lines.

Depending on the number of variables and type of equations there are 3 types of solutions to an equation.

1. Unique Solution (One solution):

When there is only one variable then the linear equation will have a Unique Solution or One solution. In the case of pair of linear equations, the linear equation will have a unique solution when the straight lines are intersected at a single point.

2. No solution:

When the given pair of linear equations is inconsistent equations the linear equation will have no solutions in common or we can say that the given lines are non-intersected lines. Usually, a pair of parallel lines will have no solutions.

3. Infinite Solutions (Many solutions):  

When the given lines are overlapped on each other or coincident with each other the given lines will have Infinite Solutions. These intersected lines.    

Therefore,

If a pair of linear equations in two variables have no solution then the pair of lines are​ inconsistent or parallel lines.  

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Part A: 3.5x6 feet

14x3=42   24x3=72

42/12=3.5   72/12=6

Part B: 21 square feet

3.5x6=21

Part A: The dimensions of the print are 3.5 feet (width) and 6 feet (length).

Part B: The area of the print is 21 square feet.

We have,

Part A:

Width of the print: 14 inches * 3 = 42 inches

Length of the print: 24 inches * 3 = 72 inches

Convert inches to feet by dividing by 12.

Width of the print in feet: 42 inches / 12 = 3.5 feet

Length of the print in feet: 72 inches / 12 = 6 feet

Part B:

Area of the print:

= 3.5 feet * 6 feet

= 21 square feet

Therefore,

The dimensions of the print are 3.5 feet (width) and 6 feet (length).

The area of the print is 21 square feet.

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Leopard Company’s fiscal year ends on October 31. If the company uses a periodic inventory system, it will record transactions for the few days before and after October 31 as follows:

Leopard Company will record the transactions for the few days before and after October 31 as they occur and will adjust the inventory balance at the end of the fiscal year.Leopard Company will record sales and purchases as they occur, regardless of the fiscal year-end. However, since the company uses a periodic inventory system,

it will need to take a physical count of its inventory at the end of the fiscal year and adjust the inventory balance accordingly. The purpose of this adjustment is to ensure that the inventory balance on the balance sheet accurately reflects the quantity and cost of goods available for sale.

This adjusting entry is important to ensure accurate financial statements and to provide an accurate representation of the company's financial position.

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Answer:

10

Step-by-step explanation:

All possible permutations except those that are not shown by the clock.

Eg:92:02

Answer:

see below

Step-by-step explanation:

area of a door = length * width = 7* width = 7x-14

so width = ( 7x-14 ) / 7 =  x-2

when x=6 width = 4

area = 4*7 = 28

perimeter = (4+7)*2 = 22

Step-by-step explanation:

First, we need to calculate the area of the pond by using the formula for the area of a circle: πr^2, where r is the radius. In this case, the radius is 3 feet.

3^2 = 9

π * 9 = 28.27 square feet

Now, we need to find the volume of the pond to find the finished area by using the formula for the volume of a cylinder: πr^2h, where r is the radius, h is the height/depth.

28.27 * 2 = 56.54 cubic feet

Finally, we need to convert the square feet to square meters and multiply it by the cost per square meter.

56.54 square feet * 0.092903 square meters/square foot = 5.24 square meters

5.24 square meters * $175.85/square meter = $924.99.

So, the cost of cementing the bottom and sides of the circular pond would be $924.99

Answer:

Undefined

Step-by-step explanation:

in order to find the slope we can plug it into the slope formula:

k=(y1-y2)/(x1-x2) where the line contains points (x1,x2) and (y1,y2)

So we plug in

it's equal to -6-4/3-3 which is -10/0 which is undefined because we can't divide by 0

Answer:

can u screenshot the question then ill solve it!!

Step-by-step explanation:

The expression when rewritten is 3^1/2

From the question, we have the following parameters that can be used in our computation:

(3^3/4  * 3^3/8)^4/9

Apply the law of indices

So, we have

(3^9/8)^4/9

Simplify the exponent

3^1/2

Hence, the solution is 3^1/2

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The expression can be rewritten as 3^1/2 = √3

We want to simplify the expression below:

(3^3/4  * 3^3/8)^4/9

Remember that we can add these exponents, so we get:

3/4 + 3/8 = 9/8

Then we can rewrite this as:

(3^9/8)^4/9

Takin the product between the exponents we will get:

(3^9/8)^4/9 = 3^(4/8) = 3^1/2

the solution is 3^1/2

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The generatrix of a cylinder is intersected by a plane parallel to its axis to determine the shape of the hole in the cylinder, while the generatrix of a cone is intersected by a plane via its vertex.

We select cutting planes that intersect both surfaces along their generatrixes in order to construct the intersection points of a cone and a cylinder. A cylinder's generatrix is intersected by a plane parallel to its axis, and a cone's generatrix is intersected by a plane via its vertex.

Since the line passing through the cone's vertex is parallel to the axis of the cylinder, the system of planes that intersect both surfaces in their generatrixes is a pencil-shaped arrangement of planes.

The cone and the cylinder are both intersected by every plane of that pencil in two different generatrixes.

In contrast to the vertices of the surfaces, the junction curve has four points that are intersections of these four lines.

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The height of the tree is 6.77 meters.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

Given that, the height of the person is 1.25 meters, the length of the tree's shadow is 24.65 meters, and the distance between the person and the tree is 20.1 meters.

Let the height of the tree be x.

Note that the scenario makes two similar triangles.

Since the ratio of the side lengths of similar triangles is proportional, it follows:

(24.65 - 20.1)/1.25 = 24.65/x

3.64 = 24.65/x

x = 24.65 / 3.64

x = 6.77

Hence, the height of the tree is 6.77 meters.

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The solution is :

1. How much change did he get from 1500-pesos bill.

2. 2 t-shirt 249.95 pesos pants for 675.95 pesos .

3. 2 t-shirt and pair of pants.

4. 249.95 pesos + 675.95 pesos  and subtraction 1500-pesos bill.

5. Seventy-four and twenty cents.

6. 74.20 pesos.

Arithmetic is one of the oldest and elementary branches of mathematics, originating from the Greek word ‘Arithmos’, which means ‘number’. Arithmetic involves the study of numbers, especially the properties of traditional operations, such as: Addition, Subtraction, Multiplication, Division.

The arithmetic operators based on these operations are ‘+’, ‘-’, ‘×’ and ‘÷’.

as given, Bobby bought:

2 shirts bought at 249.95 each

Pair of pants for 675.95

So,

How much change did he get from his 1500 peso bill ? (correction : 1500 peso)

2 shirts for 249.95 each.

249.95 * 2 = 499.9

Total spent on the shirts : 499.9

A pair of pants bought for: 675.95

Total money spent = 675.95 + 499.9 = 1175.85

In order to determine the final solution we have to subtract the total amount from 1500.

1500 - 1175.85 =324.15

He will getting a change of 324. 15 pesos .

Therefore, The solution is :

1. How much change did he get from 1500-pesos bill.

2. 2 t-shirt 249.95 pesos pants for 675.95 pesos .

3. 2 t-shirt and pair of pants.

4. 249.95 pesos + 675.95 pesos  and subtraction 1500-pesos bill.

5. Seventy-four and twenty cents.

6. 74.20 pesos.

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Bob received 824.15 pesos as change from his 1 000-peso bill.

What is asked?

The question asks for the change Bob received from his 1 000-peso bill.

What are given?

The given information is that Bob bought 2 t-shirts at 249.95 pesos each and a pair of pants for 675.95.

What is/are the hidden question?

The hidden question is: How much did Bob spend in total?

What operations will you use to solve the problem?

To solve the problem, you need to find the total amount that Bob spent, and then subtract it from his 1 000-peso bill to get his change.

What is the number sentence?

The number sentence would be: change = 1 000 pesos - (2 * 249.95 pesos + 675.95 pesos)

What is the answer?

To find the answer, you can calculate the expression in the number sentence:

change = 1 000 pesos - (2 * 249.95 pesos + 675.95 pesos)

change = 1 000 pesos - (499.90 pesos + 675.95 pesos)

change = 1 000 pesos - 1175.85 pesos

change = 824.15 pesos

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The inequality for number of hours Aman worked

90.9 hour < h < 127.27 hour

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Amar travel expenses will cost between $1,800 and $2,400 total.

He has $300 In savings, and he earns $16.50 per hour at his job.

let the number of hours be represented by h.

So, 300 + 16.5h = 1800

16.5h = 1500

h = 90.9

and, if the expense exceeds to $2400

300 + 16.5h = 2400

16.5h =  2100

h = 127.27

Thus, the inequality is

90.9 hour < h < 127.27 hour

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Answer:

the answers are D and C they both look like triangle T

Answer:

B&F

Step-by-step explanation:

T bottom is 2 squares, side is 3 squares,

so we just need to look for all the shapes with multiples of 2 & 3

Count each, if base is 2 multiple by 2, 3, 4, etc.,

then side must be multiplied by the same

so only B & F satisfy this rule

The value of this expression is 576/365

What is Expression?

A phrase, also known as an expression in some circumstances, is a group of words or a single word that functions as a grammatical unit. For instance, the English word "the very joyful squirrel" is a noun phrase which contains the adjective phrase "extremely happy". Phrases can be made up of a single word or a whole sentence.

(3x³y⁻²)² = 576/365

Given,

x = -2

y = 5

Applying property of exponents to simplify the expression.

Property: [tex](a^{b} )^{c}[/tex] =[tex]a^{bc}[/tex]

So, we have : (3x³y⁻²)²

= 3²x⁶y⁻⁴

= 9x⁶y⁻¹

Property : a⁻ᵇ

= 1/aᵇ

= 9x⁶ / y⁴

Now, plugging in values of x and y

= 9 (-2)⁶ / 5⁴

= 9*64/625

= 576 / 365

This phrase has a value of 576/365.

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The value of this expression is 576/365

What is Expression?

A phrase, also known as an expression in some circumstances, is a group of words or a single word that functions as a grammatical unit. For instance, the English word "the very joyful squirrel" is a noun phrase which contains the adjective phrase "extremely happy". Phrases can be made up of a single word or a whole sentence.

(3x³y⁻²)² = 576/365

Given,

x = -2

y = 5

Applying property of exponents to simplify the expression.

So, we have : (3x³y⁻²)²

= 3²x⁶y⁻⁴

= 9x⁶y⁻¹

Property : a⁻ᵇ

= 1/aᵇ

= 9x⁶ / y⁴

Now, plugging in values of x and y

= 9 (-2)⁶ / 5⁴

= 9*64/625

= 576 / 365

This phrase has a value of 576/365.

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The solution to the ODE dy/dx = x^6 * (y - 2)^2 with initial condition y(0) = -1 is a complicated expression involving the antiderivative of a complex function, which may not have a closed-form solution.

What is function ?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

1) Rewrite the ODE into a separable form:

dy/dx = x^6 * (y - 2)^2

2) Integrate both sides of the equation:

∫(dy/dx)dx = ∫x^6 * (y - 2)^2 dx

3) Solve for y on one side of the equation and integrate the other side:

y = 2 + √((C - ∫x^6 * (y - 2)^2 dx)/x^6)

where C is an arbitrary constant of integration.

4) Use the initial condition y(0) = -1 to find the value of C:

-1 = 2 + √((C - ∫0^0 * (y - 2)^2 dx)/0^6)

5) Solve for C:

C = (1 - 2)^2 = 1

6) Substitute C back into the solution for y:

y = 2 + √((1 - ∫x^6 * (y - 2)^2 dx)/x^6)

7) The solution y(x) is a complicated expression that involves the antiderivative of a complex function. It may not have a closed-form solution, but it can be approximated numerically using numerical methods.

The solution to the ODE dy/dx = x^6 * (y - 2)^2 with initial condition y(0) = -1 is a complicated expression involving the antiderivative of a complex function, which may not have a closed-form solution.

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Answer:

do u want the ans then see my mèsßage

The expected acceleration of an object is based on the acceleration due to gravity, which is a constant value of 9.8 m/s2. To calculate the expected acceleration, we use the equation: Expected acceleration = (5/7)gsin(θ), where θ is the angle at which the object is moving.

This equation takes into account the angle of the object and uses the acceleration due to gravity to calculate the expected acceleration. In this equation, the acceleration due to gravity is multiplied by a fraction, which is determined by the angle at which the object is moving. Therefore, the higher the angle at which the object is moving, the greater the expected acceleration.

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The speed of the truck in km/h at the end of this distance is equal to 81.43 km/h.

The time elapsed is equal to 0.7939 seconds.

In order to determine the speed of the truck in km/h at the end of this distance, we would apply the third equation of motion:

v² = u² + 2as

Where:  

Next, we would convert the value of deceleration in m/s² to km/h² as follows;

Deceleration, a = 6.5 × 60⁴/1000 = -84,240 km/h².

Distance, s = 20/1000 = 0.02 m.

Substituting the given parameters into the third equation of motion, we have;

v² = 100² + 2(-84,240)(0.02)

Speed, v = √(10,000 - 3,369.6)

Speed, v = √6,630.4

Speed, v = 81.43 km/h.

Lastly, we would determine the time by using the first equation of motion:

V = U + at

Time, t = (V - U)/a

Time, t = (100 km/h - 81.43 km/h)/6.5

Time, t = [(100 × 1000/3600) - (81.43 × 1000/3600)]/6.5

Time, t = (27.78 - 22.62)/6.5

Time, t = 5.16/6.5

Time, t = 0.7939 seconds.

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Complete Question:

The driver of a pick up truck going 100 km/h applies the brakes, giving the truck a uniform deceleration of 6.50 m/s^2 while it travels 20.0 m.

a. What is the speed of the truck in km/h at the end of this distance?

b. How much time has elapsed?

The red harvester ant is closer to ground level.

The relative distance is defined as the product of the relative distance multiplied by the specified time. The relative distance unit is the same as the length unit.

Distance is typically defined as the amount of space between two locations that can be measured. In geography, a few different types of distance are used to explain not only the physical distance between two points but also the variations in distinct racial and ethnic groups, cultural traditions, political ideals, and social mores. A unique unit of measurement known as relative distance is used in geography to explain a variety of societal aspects.

As it has dug deeper (more negative) than the black garden ant. The number -20 39/50 is more negative than -20 7/9.

Therefore, The red harvester ant is closer to ground level.

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The instantaneous acceleration at time t = 11.25 s is a = 8 m/s².  

What is acceleration?

A definition of acceleration is the speed at which velocity varies with respect to time. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.

The graph for the acceleration points are given.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

From graph instantaneous acceleration at time 11.25s is 8 m/s².  

Therefore, the value is obtained as a = 8 m/s².  

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