Consider the following work breakdown structure: Activity A B С D Start Node 1 1 2 3 Finish Node 2 3 Optimistic 41 54 58 32 Duration (days) Most Likely 50 60 70 41 Pessimistic 59 66 82 44 4 4 What is the probability that this project will be completed within 130 days? Multiple Choice O .9544 .8413 O 9987 .9772 190

Answer: g(x) is exponential because it grows by equal factors over equal intervals​

Step-by-step explanation:

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

The angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.

A reference angle means the measure of the smallest, positive, acute angle that is formed by the terminal side of the angle. Therefore, positive reference angles possess terminal sides in the first quadrant.

Lets convert all the values into degrees

330° = 330°

π/2 = 180/2 = 90°

5π/3 = 300°

7π/6 = 210°

2π/3 = 120°

Arrange them from greatest to lowest.

330°, 300°, 210°, 120°, 90°

or

330°, 5π/3, 7π/6, 2π/3, π/2

Hence, the angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.

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Answer:

d

Step-by-step explanation:

thats what the guy above me said

Answer:

See below

Step-by-step explanation:

The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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Answer:

16

Step-by-step explanation:

\(\sqrt{121}\) + \(\sqrt[3]{125}\)

= 11 + 5

= 16

Answer:

the additive inverse of 1/7 is -1/7

1/7 x -1/7 = -1/49

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Answer:

Table:

Domain: {-1, 3, 6}

Range: {4, 5, 6}

Set of coordinates:

Domain: {-4, -3, 1}

Range: {1, 3, 4}

The coordinates of a' after scaling factor of 1/3 is a'(1,1).

Given:

points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.

Rectangle:

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.

Scale factor :

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

scale factor = 1/3

= (3*1/3 , 3*1/3)

= (3/3 , 3/3)

= (1,3/3)

= (1,3)

Therefore the coordinates of a'(1,1).

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False. Scaling, in the context of graphics, refers to the process of resizing an image or graphic while maintaining its aspect ratio. It involves changing both the vertical and horizontal size of the graphic by the same percentage.

When scaling a graphic, the goal is to resize it proportionally, preserving the original aspect ratio. This means that both the vertical and horizontal dimensions are changed by the same factor or percentage. For example, if an image is scaled by 50%, both its height and width will be reduced by 50% of their original values. This ensures that the graphic maintains its original proportions and does not appear distorted.

Scaling graphics is commonly used in various applications, such as graphic design, image editing, and web development, to resize images without distorting their appearance. It allows for consistent resizing across different devices or platforms while maintaining the integrity of the original graphic.

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Answer: $18.17

Step 1: Subtract 1 dollar.

$20 - $1 = $19

Step 2: Subtract 83 cents.

$19.00 - $0.83 = $18.17

Answer = $18.17

The size of the beetle in the photo can be calculated by multiplying the actual size of the beetle (15 mm) by the percentage increase (66%). The calculation is as follows: 15 mm x 66% = 9.9 mm. Therefore, the size of the beetle in the photo is 9.9 mm.

To understand this calculation better, it is helpful to break it down into its individual components. The actual size of the beetle is 15 mm, which is the size of the beetle before it is increased. The percentage increase is 66%, which means that the size of the beetle will be increased by 66% of its original size. The calculation then multiplies the actual size of the beetle (15 mm) by the percentage increase (66%) to determine the size of the beetle in the photo (9.9 mm).This calculation can be used to determine the size of any object in a photo that has been increased to a certain percentage of its original size. All that is needed is the actual size of the object and the percentage increase. The calculation can then be used to determine the size of the object in the photo.

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Answer:

69.

im not kidding, haha, good luck!

If a laptop computer regularly cost $1096 and it’s on sale for $736 what percentage discount is being given round your answer to the nearest hundredth when necessary

step 1

Find out the difference

1096-736=$360

step 2

In this problem

$1,096 represent the 100%

so

applying proportion, find out how much percentage represent the difference

100%/1,096=x/360

solve for x

x=100*360/1,096

Answer:

80 cents

Step-by-step explanation:

There are 12 in a dozen

5*12=60

48/60=.8

So, the answer is 80cents

Answer:

$.80 or 80 cents

Step-by-step explanation:

This is very simple, a dozen is 12 bagels, 12 multiplied by 5 is 60. Next, you'd simply divide, 48 divided by 60. You're answer would be $.80. Hope this helped :)

We have to find the value of  `(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)`

Let's find all trigonometric ratios:

We can say that:

\($$\tan \theta= \frac{opp}{adj}= \frac{-4}{3}$$$$\text\)

{Using the Pythagorean Theorem we can find the hypotenuse }

\($$$$\text{Hypotenuse = } \sqrt{(-4)^2+(3)^2}\)

\(= \sqrt{16+9}\)

= \(\sqrt{25}\)

=\(5$$$$\)

Substituting the values of sinθ, cosθ and tanθ in `

\(= \frac{\frac{3}{5} + \frac{-4}{5} - \frac{-4}{3}}{\frac{-4}{5} + \frac{5}{3} - \frac{-3}{4}}$$$$\)

\(=\frac{\frac{9}{15} + \frac{-12}{15} + \frac{20}{15}}{\frac{-16}{20} + \frac{25}{12} + \frac{3}{4}}$$$$\)

\(=\frac{\frac{17}{15}}{\frac{-14}{15}}$$$$\)

\(=-\frac{17}{14}$$\)

Therefore, \(`(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)\)` is equal to

`-17/14` when `tanθ=−43` (Quadrant II).

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Step-by-step explanation:

8, 12(3-x)=48

36-12x=48

-12x=48-36

-12x=12 both side divideos by -12

-12x/-12=12/-12

x= 1

9, x/7=4.5 cris cross

x=31.5

10,5(x-3)=45

5x-15=45

5x=45+15

5x=60 both side divided by 5

5x/5=60/5

x=12

11,-3(x-3)=45

-3x+3=45

-3x=45-3

-3x=42 both side divided by -3

-3x/-3=42/-3

x=14

12,14y-8=13

14y=13+8

14y=21 both side divided by 14

14y/14=21/14

y=1.5

13,3m=5m-8/5

3m-5m=-8/5

-2m=-8/5 cris cross

-10m=-8 both side divided by -10

-10m/-10=-8/-10

x=0.8

By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

Answer:

\(x = 0\)

Step-by-step explanation:

Given

Represent the number with x.

So:

\(2 + x + x + x + x + x + x + x + x + x + x = 2\)

or

\(2 + 10x = 2\)

We want to solve for x

Subtract both sides by 2

\(2 - 2 + 10x = 2 - 2\)

\(10x = 0\)

Solve for x

\(x = \frac{0}{10}\)

\(x = 0\)

No other number aside 0, satisfy the property.

Using binomial distribution, the probability of exactly two of their four children having the trait is 0.13 (rounded to the nearest thousandth).

This is a binomial distribution problem with n = 4 trials (number of children) and p = 0.82 probability of success (having the trait) for each trial.

The probability of exactly two children having the trait can be calculated using the binomial distribution formula:

P(X = 2) = (4C2) * 0.82^2 * (1 - 0.82)^(4-2)

where (4C 2) is the number of ways to choose 2 children out of 4.

Using a calculator or statistical software, we get:

P(X = 2) = (4 C 2) * 0.82^2 * (1 - 0.82)^(4-2)

= 6 * 0.82^2 * 0.18^2

= 0.13

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The time that Natasha will be able to finish the last piece of equipment will be 8.15 pm

It should be noted that the following information can be deduced based on the information given:

Steeper = 18 minutes

Treadmill = 25 minutes

Rower = 27 minutes

Bike = 1 hour 5 minutes = 65 minutes

Total minutes = 18 + 25 + 27 + 65 = 135 minutes = 2 hours 15 minutes

It should be noted that there's an interval of 5 minutes between each equipment. The time for all the equipment will be:

= 5 × 3 = 15 minutes

Therefore since the starting time is 5.45 pm, the ending period will be:

= 5.45 + 15 minutes + 2 hours 15 minutes

= 8.15 pm

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The term that should be placed in the blank in the given question is the "Financial need."

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Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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5,-5,10,-10,15,-15,20

Hopefully that helps

Answer:

4 terms, 1 constant, 3 coefficients.

Step-by-step explanation:

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

\(s = 120 - 12r\)

A linear equation is represented as:

\(y = c + mx\)

Where

\(c =y\ intercept\) and

\(m = slope.\)

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

\(s = 120 - 12r\)

\(s = 120 - 12 * 5\)

\(s = 120 - 60\)

\(s = 60\)

60 miles traveled

Solving (b): s = 36

\(s = 120 - 12r\)

\(36 = 120 - 2r\)

Collect like terms

\(2r =120 -36\)

\(2r =84\)

Solve for r

\(r = 42\)

42 gallons used

Answer:

x+7/x+6

Step-by-step explanation: