Company XYZ has 37 employees in the Finance Department. 41 technicians, and 29 in the Engineering Department. HR received 15 complaints from the whole company. There were 5 complaints from the engineers and 7 from the Finance Department. There were completed projects in the Engineering Department and 10 by the technicians. What is the relevant information for the percent of projects completed by the engineers? Select the correct answer below. O Company XYZ has 37 employees in the Finance Department 5 O Company XYZ has 41 technicians. O Company XYZ has 29 in the Engineering Department There were 7 completed projects in the Engineering Department.

Answer:

y=4

Step-by-step explanation:

An exponential function of the form  has a horizontal asymptote of .

The given function is .

The graph of the given function is shown in the attachment.

From the graph the horizontal asymptote is

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(f(x) = - 110.5x - 400.5\)

OR

\(f(x) = - \frac{221}{2} x - \frac{801}{2} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

(i) 5/2 mod 6

5/2 = x

( cross multiply )

2x = 5

( Find the smallest multiple of 5 that can go in both 2 and 5)

The number = 10

2x = 10

(divide both sides by 2 to make x the subject)

x = 5

Ans: 5 mod 6

(ii) 9/7 mod 7

9/7 = x

( cross multiply )

7x = 9

( Find the smallest multiple of 9 that can go in both 7 and 9)

That no = 63

7x = 63

Divide both sides by 7 to make x the subject)

x = 9

Ans: 9 mod 7

(iii) 6/5 mod 7

6/5 = x

( cross multiply )

5x= 6

( Find the smallest multiple of 5 that can go in both 6 and 5)

No: 30

5x = 30

(D.B.S by 6 to make x subject of the formula)

x = 6

Ans: 6 mod 7

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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The expression for the total number of desks in a classroom with n groups of 3 desks and 1 desk leftover can be represented as:

3n + 1

what is expression?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, logarithms, and others. It represents a value, a quantity or a set of values and quantities. Expressions can be simple, such as a single number or variable, or complex, such as a combination of several terms with multiple operations.

what is number?

A number is a mathematical object used to represent quantities or values. It can be a positive or negative whole number, a fraction, a decimal, or even an irrational number like pi or the square root of 2. Numbers are used in various fields of mathematics, science, and everyday life for counting, measuring, and performing calculations.

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Answer:

what?

Step-by-step explanation:

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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Answer:

move the anomalous results

numbers that don go or are not similar to the other numbers

add the numbers and divide by how many numbers you added

9514 1404 393

Answer:

  49

Step-by-step explanation:

Put the variable values in place of the corresponding variables, and do the arithmetic.

  x² +3(x +y) =

  5² +3(5 +3) = 25 +3(8) = 25 +24 = 49

Answer:

2.78%

Step-by-step explanation:

So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.

The bond price is 1, it implies that the payoff of the bond at t=2 is equal to the consumption at t=2. Therefore, there is no need for the consumers to invest in illiquid assets when the bond market is in equilibrium.

(a) To derive the first-order condition for the optimal level of illiquid investment for an individual consumer, we need to maximize their utility function subject to their budget constraint.

For an impatient consumer, the utility function is given by:

U_i(t=1) = ln(C_i(t=1))

where C_i(t=1) represents the consumption of the impatient consumer at t=1.

For a patient consumer, the utility function is given by:

U_p(t=2) = ln(C_p(t=2))

where C_p(t=2) represents the consumption of the patient consumer at t=2.

Let I_i represent the investment in illiquid assets for the impatient consumer and I_p represent the investment in illiquid assets for the patient consumer.

The budget constraint for both consumers at t=1 is:

C_i(t=1) + I_i = 1

The budget constraint for the patient consumer at t=2 is:

C_p(t=2) + (1-p)I_p = 1

where p represents the price of the bond at t=1.

To find the optimal level of illiquid investment for an individual consumer, we need to maximize their utility function subject to the budget constraint. We can set up the Lagrangian function for the impatient consumer as follows:

L_i = ln(C_i(t=1)) + λ_i(C_i(t=1) + I_i - 1)

Taking the derivative with respect to C_i(t=1) and setting it equal to zero, we have:

∂L_i/∂C_i(t=1) = 1/C_i(t=1) + λ_i = 0

Solving for λ_i, we get:

λ_i = -1/C_i(t=1)

Similarly, we can set up the Lagrangian function for the patient consumer as follows:

L_p = ln(C_p(t=2)) + λ_p(C_p(t=2) + (1-p)I_p - 1)

Taking the derivative with respect to C_p(t=2) and setting it equal to zero, we have:

∂L_p/∂C_p(t=2) = 1/C_p(t=2) + λ_p = 0

Solving for λ_p, we get:

λ_p = -1/C_p(t=2)

To find the optimal level of illiquid investment for each consumer, we need to solve their respective first-order conditions:

For the impatient consumer:

1/C_i(t=1) = λ_i

1/C_i(t=1) = -1/C_i(t=1)

Simplifying, we get:

C_i(t=1) = 1

Therefore, the optimal level of illiquid investment for the impatient consumer is I_i = 0.

For the patient consumer:

1/C_p(t=2) = λ_p

1/C_p(t=2) = -1/C_p(t=2)

Simplifying, we get:

C_p(t=2) = 1

Therefore, the optimal level of illiquid investment for the patient consumer is:

C_p(t=2) + (1-p)I_p = 1

(1-p)I_p = 0

I_p = 0

In summary, the optimal level of illiquid investment for both the impatient and patient consumers is 0.

(b) The bond market is in equilibrium only when p = 1 because the impatient consumers have no incentive to invest in illiquid assets when the bond price is equal to 1. In this case, they can simply sell the bond at t=1 and consume the proceeds at t=2, which gives them the same utility as investing in illiquid assets.

The optimal level of illiquid investment in the bond market equilibrium is 0 for both the impatient and patient consumers. Since the bond price is 1, it implies that the payoff of the bond at t=2 is equal to the consumption at t=2. Therefore, there is no need for the consumers to invest in illiquid assets when the bond market is in equilibrium.

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In the given research scenario, the dependent variable is the average number of pounds lost.

The dependent variable is the variable that is being measured or observed in an experiment. It is the outcome or response variable that is expected to change as a result of manipulating the independent variable(s). In this case, the independent variable is the type of diet (low-carb or high-carb), and the dependent variable is the average number of pounds lost by the participants.

The researchers are comparing the average weight loss between the two groups: one following a low-carbohydrate diet and the other following a high-carbohydrate diet with the same number of calories. They are interested in determining whether the type of diet has an effect on weight loss. Hence, the dependent variable is the average number of pounds lost, as it is the variable that is expected to vary based on the diet type.

If you would like to represent the dependent variable using LaTeX code, you can use the following snippet:

\(\text{Dependent Variable: Average number of pounds lost}\)

I hope this explanation clarifies the concept of the dependent variable in the given research scenario. Let me know if you have any further questions.

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The indicated angle in the triangle is 60 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle. Therefore, the exterior angle theorem can be used to find the indicated angle in the triangle as follows:

let

x = indicated angle

Therefore,

x + 70 = 130

subtract 70 from both sides of the equation

x + 70 = 130

x + 70 - 70 = 130 - 70

x = 60 degrees

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Answer:

y = -4/5 x - 6

Step-by-step explanation:

First turn both standard form equations to slope-intercept form.

4x + 5y = 10 -3x - 4y = 24

-4x -4x +3x +3x

5y = -4x + 10 -4y = 3x + 24

5 5 -4 -4

y = -4/5 x + 2. y = -3/4 x - 6

Now that you have each in slope-intercept form, we can begin the magic.

So we know that this line's y-intercept will be -6.

Not to mention since it's parallel, that means it will share the same slope as y = -4/5 x + 2, which the slope is -4/5. All together it will be

y = -4/5 x - 6. Now we can graph the line's to see if we we're right. (Look at graphs, attached above⤴⤴⤴) As you can see they are parallel.

Hope this helped :)

Answer:

1022

Step-by-step explanation:

total of eggs

= 53 × 24

= 1272

the good eggs

= 1272 - 250

= 1022

Answer:

Step-by-step explanation:

!!

The point at which f(x) = g(x) of the graph is true is at (3.5, 10/3)

From the graph attached, we want to find the statement for which  f(x) = g(x) is true.

Now, this point on the graph where f(x) = g(x) is the point where the two graphs intersect each other.

From the attached graph, we see that the x-coordinate of such point of intersection is x = 3.5 while the y-coordinate of that same point is 10/3.

Thus, the point at which f(x) = g(x) of the graph is true is at (3.5, 10/3)

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The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

Answer:

b: 3x^2+y=5

Step-by-step explanation:

The output of the function call doWork(30) is given as follows:

9.

The input of the function is given as follows:

n = 30.

Hence we apply the recursion as follows:

Now we apply the inverse procedure, as follows:

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Answer:

Discount price of T-shirt is $14.40

Regular price of hat is $22.50

Step-by-step explanation:

The regular price, without a discount, of the T-shirt is $18. Since the store offers a discount of 20%, we must remove 20% of the price.

100%-20%=80%. So, the discount price is 80% of the regular price.

18 × 80% = 14.4

So, the discount price of the T-shirt is $14.40.

The hat, on a discount of 20%, costs $18. To find the regular price, we must multiply it by the reciprocal of 80%, which is 100/80, or 1.25.

1.25 × 18 = 22.5

So, the regular price of the hat is $22.50.

Answer:

0= 30

Step-by-step explanation:

-7(3x+5) +20=5)3-5x)+4x

-21x-35+20=5)3-5x)+4x

Add the numbers

-21x-35+20=5)3-5x)+4x

-21x-15=5)3-5x)+4x

Rearrange terms

-21x-15=5)3-5x)+4x

-21x-15=5(-5x+3)+4x

Distribute

-21x-15=-25x+15+4x

Combine like terms

-21x-15=-21x+15

Add 15 to both sides of the equation

-21x-15+15=-21x+15+15

Simplify

Add the numbers

-21x=-21x+30

add 21 to both sides of the equation

-21x+21x= 21x+30+21x

Simplify

combine like terms

0=30

Given data:

The depth of water increases per hour is d= 13.5 in/hour.

The given time is t= 6 hours.

The amount of water added is,

Thus, 6.75 feet of water added in 6 hours.

Answer:

To meet the ferry operator's needs, the boat must have a speed that allows it to complete the round trip of 22.5 miles against the current and back in a total of 9 hours, considering the current speed of 6 mph.

Let's denote the speed of the boat on the lake as x mph.

Against the current, the effective speed of the boat will be reduced by the speed of the current, resulting in a slower speed of (x - 6) mph. On the return trip, with the current, the effective speed of the boat will be increased by the speed of the current, resulting in a faster speed of (x + 6) mph.

Using the formula distance = speed x time, we can set up the equation:

22.5 = (x - 6) * t + (x + 6) * t,

where t represents the time taken for each leg of the trip.

Simplifying the equation:

22.5 = 2xt,

11.25 = xt.

Since the total time for the round trip is 9 hours, we have:

t + t = 9,

2t = 9,

t = 4.5.

Substituting t back into the equation:

11.25 = x * 4.5,

x = 11.25 / 4.5,

x = 2.5.

Therefore, the boat must have a speed of 2.5 mph on the lake in order to meet the ferry operator's needs.

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The flow rate of 5 MGD is equivalent to 7.73615 cfs

To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.

Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:

5 MGD x 1.54723 cfs/MGD = 7.73615 cfs

So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.

It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.

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To sketch the following set of points in the x-y plane;{(x,y|x|): x ∈ R, y ∈ N}, we will take some values of x and y. Then we will plug these values into the given equation to get the corresponding points.

For that; If x is positive; |x| = x

If x is negative; |x| = -x

As x can be any real number, we will take some values of x and then put them in the equation:(

1) Let x = 2 and y = 1; then |2| = 2, so one point will be (2, 1).

(2) Let x = -2 and y = 1; then |-2| = 2, so one point will be (-2, 1).

(3) Let x = 4 and y = 2; then |4| = 4, so one point will be (4, 2).

(4) Let x = -4 and y = 2; then |-4| = 4, so one point will be (-4, 2).

Hence, the set of all points in the x-y plane can be represented as:{(2,1), (-2,1), (4,2), (-4,2)}

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