how do I work this out, I've tried
\( \frac{6}{4} = \frac{k \times - 4}{ - 4} \)
and that gave me
\( \frac{1}{ - 1.5} x\)
​

After analyzing all the critical paths  the maximum possible reduction in the project duration is 1 week. The correct option is d. 1 week.

To determine the maximum possible reduction in the project duration within the given budget, we need to analyze the critical paths and crashing costs.

The crashing cost per week for activity A is $540 in the first week and $1080 per week from the second week onwards. For activity E, it is $545 in the first week and $1350 per week thereafter. For all other activities, the crashing cost is $135 per activity per week in the first week and $405 per activity per week thereafter.

Considering the crashing budget of $2300, let's calculate the maximum reduction for each critical path:

A-B-C-D-E: The total crashing cost for this path is $1350 (for A and E) + $405 (for B, C, and D) = $1755 per week. With a budget of $2300, this path can be crashed for a maximum of $2300 / $1755 = 1.31 weeks. Therefore, the maximum reduction for this path is 1 week.

A-F-E: The total crashing cost for this path is $1350 (for E) + $405 (for F) = $1755 per week. With the given budget, this path can be crashed for a maximum of $2300 / $1755 = 1.31 weeks. Hence, the maximum reduction for this path is 1 week.

A-B-H-J-K-E: The total crashing cost for this path is $1350 (for A and E) + $810 (for B, H, J, and K) = $2160 per week. This path can be crashed for a maximum of $2300 / $2160 = 1.06 weeks. Thus, the maximum reduction for this path is 1 week.

A-S-T-E: The total crashing cost for this path is $1350 (for A and E) + $540 (for S and T) = $1890 per week. This path can be crashed for a maximum of $2300 / $1890 = 1.22 weeks. Hence, the maximum reduction for this path is 1 week.

After analyzing all the critical paths, we observe that the maximum possible reduction in the project duration is 1 week.

The correct option is d. 1 week.

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Answer:

12

Step-by-step explanation:

123657890gjinvhjkfol

Number of student lunch today is 450 students

Given:

Fraction of student lunch today = 5/8

Total number student = 720 students

Find:

Number of student lunch today

Computation:

Number of student lunch today = Fraction of student lunch today × Total number student

Number of student lunch today = (5/8) × (720)

Number of student lunch today = (5) × (90)

Number of student lunch today = 450 students

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Answer:

33

Step-by-step explanation:

33 can be divided evenly by numbers other than one or itself

The 90% confidence interval is (2.76, 4.84).

The standard deviation is a measure of the amount of variation or dispersion of a set of values.  A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation may be abbreviated SD and is most commonly represented in mathematical texts and equations by the lower-case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Mean \($(\overline{\mathbf{x}})\) =3.8, sample standard deviation \($(\mathrm{s})\) =1.8, sample size     \($(\mathrm{n})\) = 10

since population standard deviation \($(\sigma)$\) is unknown and the value of \($\mathrm{n}$\) is less than 30, use. \($\mathrm{t}$\) - distribution

degrees of freedom =10-1=9

for 90% confidence level with degrees of freedom = 9

\($t_{\frac{\alpha}{2}}=1.833\) (from t- table)

formula: confidence interval for population mean. \($\mu=\bar{x} \pm t_{\frac{\alpha}{2}} *\left\{\frac{s}{\sqrt{n}}\right\}$\)

= 3.8 ± 1.833×\(\left\{\frac{1.8}{\sqrt{10}}\right\}$\)

= 3.8 ± 1.04

= (3.8 - 1.04, 3.8 + 1.04)

= (2.76, 4.84)

Therefore, the 90% confidence interval is (2.76, 4.84).

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Answer:100-K

Step-by-step explanation:

"100 decreased by a number K" can be written algebraically as:

100 - K

This expression represents the result of subtracting the value of K from 100.

The boat has traveled approximately 60.6 miles north and approximately 49.7 miles west.

The bearing N 38° 10' W indicates that the boat is traveling 38 degrees 10 minutes west of the north direction. To determine the miles north and west, we can use trigonometric functions.

Let x represent the miles north and y represent the miles west. We can form a right triangle, where the angle opposite the miles north is 38° 10', and the hypotenuse represents the distance traveled, which is 78.8 miles.

Using trigonometric ratios, we have:

cos(38° 10') = y / 78.8 (cosine is adjacent/hypotenuse)

sin(38° 10') = x / 78.8 (sine is opposite/hypotenuse)

To find x (miles north):

x = sin(38° 10') * 78.8 = 0.616 * 78.8 ≈ 60.6 miles (rounded to the nearest tenth)

To find y (miles west):

y = cos(38° 10') * 78.8 = 0.787 * 78.8 ≈ 49.7 miles (rounded to the nearest tenth)

Therefore, the boat has traveled approximately 60.6 miles north and approximately 49.7 miles west.

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The morning and at night, green serenity can have different effects on people. Some individuals find the color green to be refreshing and calming, while others may have different reactions based on personal preferences and cultural associations.

In the morning and at night, greenery can have different effects on people. Some individuals find the color green to be refreshing and calming, while others may have different reactions based on personal preferences and cultural associations. Here are a few possible interpretations:

Greenery in the morning: Waking up to green surroundings, such as trees, plants, or a lush landscape, can evoke feelings of rejuvenation and a sense of connection with nature. It may provide a visually soothing and peaceful atmosphere, setting a positive tone for the day.

Greenery at night: Greenery in the evening or at night can create a serene ambiance. Dimly lit green surroundings, such as gardens or parks illuminated by soft lights, can promote relaxation and tranquility. This type of environment may be conducive to unwinding after a long day or engaging in peaceful activities like stargazing or enjoying a calm walk.

It's important to note that individual preferences and cultural backgrounds can influence how people perceive and respond to the color green. While many find green to be calming, there may be variations in personal experiences and associations with the color.

The morning and at night, green serenity can have different effects on people. Some individuals find the color green to be refreshing and calming, while others may have different reactions based on personal preferences and cultural associations.

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The value of x for which the momentum is 150 is approximately -4.49 * 10^32.

To find the value of x for which the momentum of the particle is 150, we can use the given functions and the relationship between momentum and the derivative operator. Let's break down the steps:

Given functions:

ψ₀,ₓ(t) = ∫₋πˡ⁻ᵖⁱ(1 + 1 + cos²kcosk)e⁻ⁱ(ωkt - kx)2πdk

ψ₁,ₓ(t) = ∫₋πˡ⁻ᵖⁱ(1 + cos²keⁱᵏ) e⁻ⁱ(ωkt - kx)2πdk

We know that the momentum operator px is defined as px = -iℏ(d/dx), where ℏ = h/2π.

Rewriting momentum in terms of k:

px = hk/(2π)

Since k varies from -π to π, the allowed values of momentum are:

p = -h/2π * π to h/2π * π

p = -h to h

p = -6.626 * 10^-34 to 6.626 * 10^-34

Now, let's find the value of x when the momentum is 150.

px = -iℏ(d/dx) = 150

Substituting ℏ = 6.626 * 10^-34 and rearranging the equation, we have:

-4.49 * 10^32(d/dx) = 150

Simplifying, we find:

d/dx = 150 * (-2π)/(6.626 * 10^-34)

Calculating the value on the right-hand side, we get:

d/dx ≈ -4.49 * 10^32

Therefore, the value of x for which the momentum is 150 is approximately -4.49 * 10^32.

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Answer:

first one gas in tank second one answer a

Step-by-step explanation:

Answer:

14.25 gallons of gas left in the tank after one hour.

Step-by-step explanation:

x is time

y is gallons of gas in tank

(x,y)

(time,gallons)

(1,14.25)

(1hr,14.25gallons)

At 1 hour, there are 14.25 gallons left in the tank.

The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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Answer:

Difference Difference

1. 85 - 32 = 53 42 - 15 = 27

2. 76 + 21 = 97 65 + 12 = 77

3. 77 - 20 = 57 66 + 21 = 87

4. 72 + 25 = 97 62 + 25 = 87

5. 76 + 21 = 97 59 - 2 = 57

6. 63 + 14 = 77 48 + 11 = 59

7. 68 - 11 = 57 47 - 10 = 37

the chi-square value corresponding to a sample size of 17 and a confidence level of 98 percent is 31.410.

To find the chi-square value corresponding to a sample size of 17 and a confidence level of 98 percent, we need to look up the critical value of the chi-square distribution.

The chi-square distribution is determined by the degrees of freedom, which in this case is equal to the sample size minus 1. Since the sample size is 17, the degrees of freedom will be 17 - 1 = 16.

To find the chi-square value at a 98 percent confidence level, we need to determine the critical value associated with an alpha level of 0.02 (since the confidence level is 98 percent, the remaining 2 percent is split into two tails, each with a probability of 1 percent or 0.01).

Using a chi-square distribution table or a statistical calculator, the critical chi-square value with 16 degrees of freedom and an alpha level of 0.02 is approximately 31.410.

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Length of arc EG = 5.446 degrees and EG = 0.05446 degrees while written in hundredth.

Arc length is defined as the distance of two points along the boundary of a circle or a section of a curve. Arc length is not a straight line.

Arc length is calculated by the following formula.

arc length in radians

s = r Ф

where, r is radius of circle or curve

Ф is the central angle in radians

arc length is degrees

s = Ф×π/180 × r

r is the radius of circle

Ф is the central angle in degrees

π = 3.142

given, central angle EFG = 78 degrees.

EF = 4 units

EF is the radius of the given circle

as per the rules of a circle FG is also a radius

FG = FE = 4 units

Now arc length EG = ∠EFG × π/180 × EF

  Arc length = 78 × 3.142/180 × 4

                    =5.446 units

hence, arc length EG = 5.446 units or 5.446 degrees

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Answer:

Opposite angles of a parallelogram are congruent, so b = 48.

Angles on the same side of a parallelogram are congruent, so a = 132.

Let me know if this helps!

Answer:

b is probably 48 degrees and a is 132 degrees most likely

Step-by-step explanation:

all the angles of a square should add up to 360 I think so 48+48 is 96

360-96 is 264

264 divided by 2 ( because there are 2 angles left) is 132

I'm really bad at geometry so don't be mad if I'm wrong

Answer:

10

Step-by-step explanation:

a=3+7

a=10

10-[(10-3)-7]=

=10-[7-7]=

=10-0=

=10

The solution of expression 10 - [(a - 3) - 7] would be 10.

Given that,

The equation is,

-7 + a = 3

Now, we can simplify the equation as,

- 7 + a = 3

a - 7 = 3

Subtract 3 on both sides,

a - 3 - 7 = 0

(a - 3) - 7 = 0  .. (i)

Here, the equation to simplify is,

10 - [(a - 3) - 7]

Substitute the value from equation (i),

10 - 0

= 10

Therefore, the solution of expression is 10.

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Answer:

6 passengers got off at New Jersey

Step-by-step explanation:

let the number of passengers who got off be x and let the number of passengers who boarded the bus be y

y=2x

44 - x + y=50

y=50-44+x

y=6+x

subst y=2x

2x=6+x

2x-x=6

x=6

The difference quotient for the function f(x) =\(7x^2 - 6\)is 14x + 7h.

Calculus uses the difference quotient, a mathematical concept, to determine the average rate of change of a function over a brief period. It is defined as the difference in the corresponding inputs at two points divided by the difference in the function values at those two positions. The difference quotient, a crucial component in derivative calculations, aids in approximating the instantaneous rate of change.

To find the difference quotient for the function f(x) = \(7x^2 - 6\), follow these steps:

1. Substitute (x+h) into the function for x: f(x+h) = 7(x+h)^2 - 6
2. Expand f(x+h): \(f(x+h) = 7(x^2 + 2xh + h^2) - 6\)
3. Distribute 7 to the terms inside the parenthesis: \(f(x+h) = 7x^2 + 14xh + 7h^2 - 6\)
4. Write out the difference quotient formula: (f(x+h) - f(x))/h
5. Plug in f(x+h) and f(x) into the formula: \((7x^2 + 14xh + 7h^2 - 6 - (7x^2 - 6))/h\)
6. Simplify the expression by removing the common terms \((7x^2 - 6): (14xh + 7h^2)/h\)
7. Factor out an 'h' from the numerator: h(14x + 7h)/h
8. Cancel the 'h' in the numerator and denominator: 14x + 7h

The difference quotient for f(x) = \(7x^2 - 6\)is 14x + 7h.

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Answer:

According to the pythogorean theorem, this triangle is not a right triangle.

The answer is " 7 to the power 3rd ".

We translate the algebraic expression 7³ into a verbal expression. The given expression has a base number of 7 raised to the power of 3 . This means is that 7 is multiplied by itself 3 times. So we should write " 7 to the power 3rd "

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Let x be the length of the bottom of the triangle. Then, the second side has a length of more than x * k, where k is some number greater than 1. And the third side has a length of more than x.

The perimeter of the triangle can be represented by the expression:

P = x + (x * k) + (x + y), where y is a positive number that represents the difference between the length of the third side and the length of the bottom of the triangle.

Simplifying the expression:

P = x * (1 + k) + (x + y) = x * (k + 1) + y.

This expression represents the perimeter of the triangle in terms of the length of the bottom of the triangle and the unknown values

Answer:

Explanation vvvvvv

Step-by-step explanation:

2.3

0.8+1.5 = 2.3

Also.. for 0.6, do you also find the sum or could you find the difference?

0.8-0.2 = 0.6

I will answer in comments if this isn't right.

Answer:

A:

✔ –4 < –1

B:

✔ –2 < –1

C:

✔ 2 > –5

D:

✔ 2 > –1

The inequality symbol is only reversed when dividing by a

✔ negative

number.

Answer:

1. B
2. B

3. A

4. A
5. negative

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

For the first one shade 38 squares

For the second one shade 65 of the squares

#1 is 38%

#2 is 65%

Answer:shade 19 out of 50 bloxks

Step-by-step explanation:

it shows on page

Algorithm, each philosopher is represented by a thread that repeatedly thinks, picks up the first fork (on their left-hand side), picks up the second fork (on their right-hand side), eats, and puts down both forks. The Semaphore class is used to represent the forks, and the acquire() and release() methods are used to acquire and release the forks, respectively.

The asymmetric solution to the Dining-Philosophers problem is based on allowing an odd-numbered philosopher to first pick up the fork on their left-hand side and then the one on their right-hand side, while an even-numbered philosopher does the opposite.

This ensures that no two neighboring philosophers can hold the same fork at the same time and eliminates the possibility of a deadlock.

Here's a pseudo-code algorithm for this solution:

# Initialize shared variables

philosophers = [0, 1, 2, 3, 4] # the list of philosophers

forks = [Semaphore(1) for i in range(5)] # one semaphore for each fork

# Define the behavior of each philosopher

def philosopher(i):

 while True:

   # philosopher i thinks

   time.sleep(random.uniform(0, 1))

   # pick up the first fork

   forks[i].acquire()

   # pick up the second fork

   forks[(i+1) % 5].acquire()

   # philosopher i eats

   time.sleep(random.uniform(0, 1))    

   # put down the forks

   forks[i].release()

   forks[(i+1) % 5].release()

# Start the program by creating and starting a thread for each philosopher

threads = [Thread(target=philosopher, args=(i,)) for i in philosophers]

for t in threads:

 t.start()

# Wait for all threads to finish

for t in threads:

 t.join()

The program creates and starts a thread for each philosopher, and then waits for all threads to finish.

The asymmetric solution ensures that no two neighboring philosophers can hold the same fork at the same time, and thus avoids the possibility of a deadlock.

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Answer:

I think its -37

Step-by-step explanation:6^2 - -1 *-1= 36+1= 37*-1 = -37

Answer:

-45i

Step-by-step explanation:

i is an imaginary number so the answer should be -45i, I hope this helps :)

In case of a 2.5% increase in your pay which is now $25,000, your new salary will be $25,625.

First, you need to determine the percent increase i.e.2.5% of 25,000 (old salary),

            2.5%      x     25,000     =     ?

           2.5/100   x    25,000     =  625

So, the $625 would be the increased amount in your salary which is equal to 2.5% of your old salary (i.e. 25,000).

In order to find out the amount of your new salary that you will be receiving, you have to add the increased amount to the amount of your old salary, as follows:

amount of the new salary =  amount of the old salary + percent increase

                                       =     $25,000 +   $625

                                       =       $ 25,625

When an increase of 2.5% is made in your salary which is now $25,000, then your new salary becomes $25,625.

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