Please help I gotta get this done and I need help lol

Slack represents the buffer or flexibility available in the project schedule, allowing for adjustments and potential delays without affecting the project's critical path.

In project network analysis, slack refers to the difference between the latest start and earliest start times of an activity. It represents the amount of time that an activity can be delayed without affecting the overall project duration.

The latest start time (LS) is the latest point in time an activity can start without delaying the project completion. It is determined by considering the dependencies and constraints of the project schedule. The earliest start time (ES) is the earliest possible point in time an activity can start based on its dependencies and the project schedule.

By subtracting the earliest start time from the latest start time, we calculate the slack or float of an activity. If an activity has positive slack, it means there is flexibility in its start time, and it can be delayed without impacting the project's critical path or completion date. On the other hand, if the slack is zero or negative, it indicates that any delay in the activity will affect the project's overall duration, making it critical.

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The results suggest that the new computer control system has a statistically significant impact on improving fuel efficiency, with the average increase in miles per gallon being less than 3.

Let's calculate the t-score:

t = (2.4 - 3) / (1.8 / √100)

t = -0.6 / (1.8 / 10)

t = -0.6 / 0.18

t ≈ -3.33

Since we're testing the hypothesis that the population mean is at least 3 (greater than 3), we're performing a one-tailed test. We need to find the p-value for the t-score of -3.33 in the right tail of the t-distribution.

The p-value can be found using statistical software or a t-table. Assuming an alpha level (significance level) of 0.05, the p-value is less than 0.001 (highly unlikely to occur by chance). This indicates strong evidence against the null hypothesis.

Since the p-value is less than the significance level (α = 0.05), we reject the null hypothesis. The results suggest that the new computer control system has a statistically significant impact on improving fuel efficiency, with the average increase in miles per gallon being less than 3.

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Answer:

\( \frac{2}{3} ( \frac{1}{4} x - 6) \\ \\ = \frac{2}{12} x - \frac{12}{3} \\ \\ = \frac{1}{6} x - 4\)

Step 1: Use the formula relating the length of an arc, radius, and angle to find the angle measure in radians. The formula is `angle measure in radians = length of arc / radius`. Let θ be the angle measure.4 = θ7Dividing both sides by 7 givesθ = 4/7

Step 2: Use the formula relating the area of a sector, radius, and angle to find the area of the sector. The formula is `area of sector = ½r²θ`, where r is the radius and θ is the angle measure in radians.

Area of sector = ½(7²)(4/7)π= 49/2π= 137.29 square feet Therefore, the radian measure of the central angle subtended by an arc with a length of 4 feet is 4/7 radians. The area of the sector formed by the arc is 137.29 square feet.

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Answer:

36

Explanation:

Given the ratio:

Let the number = x

Then:

Next, solve for x:

Thus, the number that makes the ratio equivalent to 3:5 is 36.

b) Picard’s Theorem guarantees the existence and uniqueness of solutions to differential equations under certain conditions.

Picard's Theorem is a fundamental result in the theory of ordinary differential equations.

It provides conditions under which the initial value problem for a first-order ordinary differential equation has a unique solution.

The theorem states that if the function in the differential equation is continuous and satisfies a Lipschitz condition with respect to the second variable, then there exists a unique solution to the initial value problem.

Option b) correctly summarizes the main conclusion of Picard's Theorem, which is the guarantee of existence and uniqueness of solutions to differential equations under specific conditions.

The other options are not accurate descriptions of Picard's Theorem.

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Out of those who took the exam, 3/5 passed. So, 100 * 3/5 = 60 is the number of students passed the exam. Therefore, the correct answer is: c ) 60.

To solve this problem, we'll follow these steps:

Step 1: Determine the number of nursing students who were required to take the exam.

Since 1/2 of the nursing students were required to take the exam, we calculate: (1/2) * 200 = 100.

Step 2: Determine the number of students who took the exam.

Since all of the students who were required to take the exam actually took it, the number of students who took the exam is also 100.

Step 3: Determine the number of students who passed the exam.

Since 3/5 of those who took the exam passed, we calculate: (3/5) * 100 = 60.

University X required 1/2 of the 200 nursing students to take the exam, which means 200 * 1/2 = 100 students took the exam.

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Answer:

The answer is 276.32 square yards.

Step-by-step explanation:

To solve for the surface area of a cylinder, use the surface area of a cylinder formula, which is SA= 2\(\pi\)rh + 2\(\pi\)\(r^{2}\). However, instead of using (\(\pi\)), 3.14 will be used.

Next, plug in the information from the question into the formula. The formula will look like SA= 2(3.14)(4)(7) + 2(3.14)(\(4^{2}\)). Then, solve the equation, and the final answer will be 276.32 square yards.

Answer: (3,8)

5 + 2 (-1) = 3

10 + 2 (-1) = 8

The total surface area that Lisa would need to cover is given as follows:

9800 mm².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The dimensions of the prisms in this problem are given as follows:

Hence the total surface area is obtained as follows:

S = 2 x (10 x 10 + 10 x 80 + 10 x 80) + 2 x (40 x 40 + 40 x 20 + 40 x 20)

S = 9800 mm².

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Answer:

Step-by-step explanation:

Answer:

\(4\frac{2}{15}\)

Step-by-step explanation:

A mixed number is a number that contains an integer with a proper fraction eg: \(1\frac{1}{2}\). The fraction that is given is improper and can be turned into a mixed number to simplify it.

First, we need to find how many times 15 goes into 62:

62÷15 = 4r2

This can then be written as the mixed fraction: \(4\frac{2}{15}\).

I hope this is clear :)

Answer:

2 4 6

Step-by-step explanation:

The derivative of f(x) = cos(x² - x) is \(3(2x - 1)cos(x^{2} - x)sin(x^{2} - x).\)

To find the derivative of the function f(x) = cos(x² - x), we can use the chain rule.

The chain rule states that if we have a composite function, such as cos(g(x)), the derivative of this composite function is given by the derivative of the outer function multiplied by the derivative of the inner function.

In this case, the outer function is cos(u), where u = x² - x, and the inner function is u = x² - x.

The derivative of the outer function cos(u) is -sin(u).

To find the derivative of the inner function u = x² - x, we apply the power rule and the constant rule. The power rule states that the derivative of x^n, where n is a constant, is nx^(n-1), and the constant rule states that the derivative of a constant times a function is equal to the constant times the derivative of the function.

Applying the power rule and the constant rule, we find that the derivative of u = x² - x is du/dx = 2x - 1.

Now, using the chain rule, the derivative of f(x) = cos(x² - x) is given by:

df/dx = \(-sin(x^{2} - x) * (2x - 1)\)

Simplifying, we have:

df/dx = -\(2xsin(xx^{2} - x) + sin(x^{2} - x)\)

Therefore, the correct answer is option a. 3(2x-1)cos(x²-x)sin(x²-x).

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The area of the triangle formed by the line with a slope of 2 and the coordinate axes, given that the distance between the origin and the line is 5, is 25 square units.

To find the area of the triangle, we first need to determine the base and height of the triangle. The base of the triangle is the distance between the two points where the line intersects the x-axis. Since the line passes through the origin (0,0), one of the intersection points is (0,0). The other point can be found by setting the y-coordinate equal to zero and solving for the x-coordinate. In this case, the second point is (5/2, 0).

The height of the triangle is the distance between the origin and the point on the line that is perpendicular to the x-axis. Since the line has a slope of 2, the equation of the line can be written as y = 2x. To find the point of intersection between the line and the perpendicular from the origin, we can solve the equation for x when y equals 5. Substituting y = 5 into the equation, we have 5 = 2x, which gives x = 5/2.

So, the height of the triangle is 5/2. Now we can calculate the area of the triangle using the formula for the area of a triangle, which is given by A = (1/2) * base * height. Plugging in the values, we get A = (1/2) * (5/2) * (5) = 25/4 = 6.25 square units.

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Answer:

is 2x2 multiplying them or is x the letter ?

Step-by-step explanation:

if multiplying: 4-(-2)+3 = 11

if the letter: 2(-2)2-(-2)+3 = -3

hope this helped :))

Answer:

What do you need here Any help?

By running the script or calling the function with different values of x, y, and R, you can simulate the behavior of the given function and determine its output based on the conditions specified.

Here's a MATLAB code snippet that simulates the function M(x, y):

function result = M(x, y, R)

   if x^2 + y^2 <= R^2

       result = 1;

   else

       result = 0;

   end

end

To use this function, you can call it with the values of x, y, and R and it will return the corresponding result based on the conditions specified in the function.

For example, let's say you want to evaluate M for x = 3, y = 4, and R = 5. You can do the following:

x = 3;

y = 4;

R = 5;

result = M(x, y, R);

disp(result);

The output will be 1 since x^2 + y^2 = 3^2 + 4^2 = 25, which is less than or equal to R^2 = 5^2 = 25.

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Answer:

Step-by-step explanation:

32

The terminal point of vector V, which has an initial point of (-15, 6, 6) and coordinates ⟨6, −6, 2⟩, can be found by adding the components of the vector to the initial point. The terminal point is (-9, 0, 8).

To find the terminal point of vector V, we need to add the components of the vector to the initial point. The vector V has components ⟨6, −6, 2⟩, which represent the changes in the x, y, and z coordinates, respectively. The initial point is given as (-15, 6, 6), which represents the starting coordinates.

To find the terminal point, we add the x, y, and z components of the vector to the respective coordinates of the initial point. Adding 6 to -15 gives -9 for the x-coordinate. Adding -6 to 6 gives 0 for the y-coordinate. Adding 2 to 6 gives 8 for the z-coordinate. Therefore, the terminal point of vector V is (-9, 0, 8).

In summary, by adding the components of vector V to the initial point (-15, 6, 6), we find that the terminal point is (-9, 0, 8). This means that starting from the initial point, the vector V moves 6 units in the positive x-direction, -6 units in the negative y-direction, and 2 units in the positive z-direction, resulting in the terminal point.

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Answer:

5 apples

Step-by-step explanation:

Add 2 and 3 because you add what Jordan has and how much Jordan buys to find the total number of apples.

Answer:

He has 5 Hope it helps you

Step-by-step explanation:

You see he already has 2 apples then he buys 3 more which you just add 2+3=5

Answer:

29

Step-by-step explanation:

7(8)/4+5(3)

56/4+15

14+15

29

The phrases can be represented by the algebraic expression x + 14 are Option 2 (A number plus 14), Option 4 (Fourteen more than a number), and Option 5 (A number increased by 14).

Given that we have to find the phrases represented by algebraic expression

Given expression is:

x + 14

This expression means that "x" is increased by 14 or 14 is added to x

Let us check the options one by one

Option 1:

The quotient of a number and 14

So this expression is wrong, since it involves quotient which is not related to given expression

Option 2

A number plus 14

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Option 3

Fourteen less than a number

Writing it mathematically,

number - 14

If the number be "x", then we get x - 14

So this Option is wrong

Option 4

Fourteen more than a number

Here, "more than" means addition

Writing it mathematically,

14 + number

If the number be "x", then we get 14 + x which is same as x + 14

So this option is correct

Option 5

A number increased by 14

Here, "increased by" means addition

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Thus correct options of the algebraic expression x + 14 are option 2, 4, 5.

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Full Question:

Which phrases can be represented by the algebraic expression x + 14? Select three options.

1. the quotient of a number and 14

2. a number plus 14

3. fourteen less than a number

4. fourteen more than a number

5. a number increased by 14

The phrases can be represented by the algebraic expression x + 14 are Option 2 (A number plus 14), Option 4 (Fourteen more than a number), and Option 5 (A number increased by 14).

Given that we have to find the phrases represented by an algebraic expression

Given expression is:

x + 14

This expression means that "x" is increased by 14 or 14 is added to x

Let us check the options one by one

Option 1:

The quotient of a number and 14

So this expression is wrong since it involves a quotient which is not related to the given expression

Option 2

A number plus 14

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Option 3

Fourteen less than a number

Writing it mathematically,

number - 14

If the number be "x", then we get x - 14

So this option is wrong

Option 4

Fourteen more than a number

Here, "more than" means addition

Writing it mathematically,

14 + number

If the number be "x", then we get 14 + x which is same as x + 14

So this option is correct

Option 5

The number increased by 14

Here, "increased by" means the addition

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Thus correct options of the algebraic expression x + 14 are option 2, 4, 5.

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Full Question:

Which phrases can be represented by the algebraic expression x + 14? Select three options.

1. the quotient of a number and 14

2. a number plus 14

3. fourteen less than a number

4. fourteen more than a number

5. a number increased by 14

Answer:

14/24 can be a answer?

Step-by-step explanation:

Hope this helped :)

The answer is 1.25........

Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

To calculate the probability of a major flood occurring exactly once in the next 11 years, we need to make assumptions about the probability of a major flood in a given year. Let's assume that the probability of a major flood in any given year is constant and equal to p.

The probability of a major flood occurring exactly once in the next 11 years can be calculated using the binomial probability formula:

P(X = k) = (nCk) * p^k * (1 - p)^(n - k)

In this case, we have n = 11 (the number of years) and k = 1 (the number of major floods we want to occur). We need to determine the value of p to calculate the probability.

Without specific information about the probability of a major flood in a year, we cannot provide an exact answer. However, if we assume a certain probability value for a major flood in a year, we can calculate the probability using the formula above.

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Answer:

32 degrees

Step-by-step explanation:

180 - 116 = 64

64/2 = 32

Answer:

32°

Step-by-step explanation:

as it is an isosceles triangle from the sides mentioned above

so the other unknown angle is also x

interior angles of triangle sum up 180

so 116 + 2x = 180

2x = 180 -116

2x = 64

x = 32°