What is the value of x in the equation 1/5x - 2/3 y = 30, when y= 15?
4.
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200

(A) The NSPE fundamental canons of ethics violated by engineer John are Canon 1: Engineers shall hold paramount the safety, health, and welfare of the public, and Canon 4: Engineers shall avoid deceptive acts.

Engineer John had violated the NSPE fundamental canons of ethics in his actions against his employer. His act of reporting the employer's unethical behavior is a commendable act as it reflects his respect for Canon 1, which states that engineers should prioritize public safety, welfare, and health.

He had reported his employer's illegal act of using the software on multiple workstations to the radio channel's hotline, even though his employer might be jeopardizing his own job safety.

Engineer John also broke Canon 4, which requires engineers to prevent fraudulent practices and avoid misleading acts that can harm the public.

His manager's act of using the software on multiple workstations without paying the licensing fee was fraudulent, and engineer John's report protected the company's ethics, preventing them from getting into trouble. He showed loyalty to his employer by following the ethical principles and guidelines.

Engineer John's actions were ethical and commendable. He had the courage to follow his principles and respect the NSPE fundamental canons of ethics. He did not allow his employer's illegal act to jeopardize public safety, welfare, and health. He showed his loyalty to his employer by protecting their reputation and guiding them towards the right path of ethics.

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Answer:

Part 1:

4. The slope is -4.

5. The slope is 17/4.

6. The slope is -2/3.

Part 2:

4. y = -4x - 11

y-intercept is (-11/4, 0)

5. y = 17/4x - 12

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

Step-by-step explanation:

2. The area of the cabin's window is 196 square inches.

3. The area of the doghouse is  32.5 square ft.

4. The farmer should purchase 2 begs of soil.

5. The artist needs 161.5 square in material to make the kite.

What is a trapezoid?

A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.

Trapezoids are defined differently by different people. A trapezoid can have one and only one pair of parallel sides, according to one school of mathematics, while another contends that a trapezoid can have multiple pairs of parallel sides. If we take into account the second definition, then a parallelogram is also a trapezoid by that definition. However, the first definition excludes parallelograms from the definition of a trapezoid since it is one of the quadrilateral types that we have already mentioned.

2. The formula for the area of a trapezoid is 1/2 × (sum of parallel side) × height.

The length of one parallel side is 10 inches. The length of the other parallel side is (10+4+4) inches = 18 inches.

The height of the trapezoid is 14 inches

The area of the trapezoid is 1/2 ×(10 + 18) × 14

= 196 square inches.

3.

The formula for the area of a trapezoid is 1/2 × (sum of parallel side) × height.

The length of one parallel side is 5 ft. The length of the other parallel side is (5+3) ft = 8 ft.

The height of the trapezoid is 5 ft.

The area of the trapezoid is 1/2 ×(5 + 8) × 5

= 32.5 square ft.

4.

The area of a parallelogram is the product of height and base.

The length of the base is (2.5 yards + 6.5 yard) = 9 yards

The height of the parallelogram is 6 yards.

The area of the parallelogram is 9 yards × 6 yards

= 54 square yards

Each beg can cover 40 square yards field.

The number of begs that the farmer need is 56/40 = 1.4  ≈2

5.

The area of the kite is half of the product of diagonals.

The length of diagonals are (8.5 in + 8.5 in) = 17 in and (6 in  + 13 in) = 19 in

The area of the kite is (17×19)/2 = 161.5 square in.

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Simple linear regression is a statistical technique used to model the relationship between two variables by fitting a straight line to the data. It provides a way to predict or estimate the value of one variable (dependent variable) based on the value of another variable (independent variable).

In simple linear regression, the relationship between the independent variable (x) and the dependent variable (y) is represented by a straight line. The goal is to find the best-fitting line that minimizes the differences between the observed values of the dependent variable and the predicted values from the regression line.

A graph illustrating simple linear regression includes the scatterplot of the data points, the regression line, and the residuals. The scatterplot shows the individual data points with the independent variable on the x-axis and the dependent variable on the y-axis. The regression line is the line that best fits the data, minimizing the sum of the squared residuals.

Residuals are the vertical distances between the observed data points and the regression line. They represent the differences or errors between the actual values and the predicted values. By examining the residuals, we can assess how well the regression line fits the data. If the residuals are randomly scattered around zero, it suggests that the linear regression model is appropriate. If there is a pattern or systematic deviation in the residuals, it indicates that the model may not be capturing the underlying relationship accurately.

The regression line is constructed by minimizing the sum of the squared residuals, which is known as the least squares method. This ensures that the line represents the best linear approximation of the relationship between the variables.

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the volume of the solid that lies between the paraboloid 2 2 zx y and the sphere 2 22 xyz 2 is (4/15)π.

To find the volume of the solid between the paraboloid and the sphere, we can use cylindrical coordinates. In cylindrical coordinates, the equation of the paraboloid is 2z = r^2 and the equation of the sphere is x^2 + y^2 + z^2 = 2r^2.

We can rewrite the sphere equation as z = (2-r^2)/2 and set it equal to the equation of the paraboloid, giving us:

2r^2 = r^2 + y^2

Simplifying this expression, we get:

y^2 = r^2

This means that the solid lies within the cylinder y^2 + z^2 = 2r^2.

To find the limits of integration, we need to determine the range of r, theta, and z that define the solid. The sphere has a radius of √2, so we know that r must be less than or equal to √2. For theta, we can integrate from 0 to 2π.

To find the limits of integration for z, we need to determine the range of z values for a given r and theta. Substituting r^2/2 for z in the equation of the sphere, we get:

x^2 + y^2 + (r^2/2)^2 = 2r^2

Simplifying this expression, we get:

x^2 + y^2 = (3/4)r^2

This means that for a given r and theta, z can vary from r^2/2 to √(2 - (3/4)r^2).

To find the volume of the solid, we can integrate the function r from 0 to √2, theta from 0 to 2π, and z from r^2/2 to √(2 - (3/4)r^2), using the formula for volume in cylindrical coordinates:

V = ∫∫∫ r dz dr dθ

Evaluating this integral, we get the volume of the solid as (4/15)π.

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Answer:

4 1/6 miles of walking and eating per hour

Step-by-step explanation:

The unit rate here is

 50 miles

----------------- = 4 1/6 miles of walking and eating per hour

    12 hrs

Answer:

25 hours per week

Step-by-step explanation:

Step one:

given data

Suri makes $15 per hour and gets a weekly bonus of $25

Juan makes $14 per hour and gets a weekly bonus of $50.

Let the number of hours worked be x

and let the total earned be y

For Surl

The expression for the total is

y= 25+15x-----------1

For Juan

The expression for the total is

y= 50+14x-----------2

Step two:

Equate the two expressions we have

25+15x=50+14x

collect like terms we have

25-50= 14x-15x

-25= -x

x= 25

Yes its is possible that they earned the same amount if they work for 25 hours

Answer:

hope this answer helps you dear...take care and may u have a great day ahead!

1: 2.62 2.4 0.268 2.26 2.71 (not answer)

for number 1 (greatest to least)

271% then 2.62 then 2 2/5 then 2.26 then 26.8%

2: least to greatest

.86 .91 .875 .84

84% then 43/50 then 7/8 then 0.91

By identity,

(6x + 7y)(6x - 7y) = 36x² - 49y²

step - by - step multiplication,

Answer:

36x^2 - 49y^2

Step-by-step explanation:

(6x + 7y)(6x-7y)

= (6x × 6x) + (6x × -7y) + ( 7y × 6x) + ( 7y × -7y)

 = 36x^2 - 42xy + 42xy - 49y^2

= 36x^2 - 49y^2

The amount of total cost at q* is 1.

To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):

TC(q) = 10 - 6q + q^2

To find the minimum point, we differentiate TC(q) with respect to q:

d(TC(q))/dq = -6 + 2q

Setting the derivative equal to zero and solving for q:

-6 + 2q = 0

2q = 6

q = 3

So the production level q* that minimizes the total cost is 3.

To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):

TC(q*) = 10 - 6(3) + (3)^2

TC(q*) = 10 - 18 + 9

TC(q*) = 1

Therefore, the amount of total cost at q* is 1.

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The solution to the inequality is:

x ∈ (-∞, -21].

The correct option is F.

To solve the given inequality, we'll first simplify the expression:

23 < 3x - 3 ≤ -66

To simplify the inequality,

23 < 3x - 3 ≤ -66

Adding 3 to all parts of the inequality:

23 + 3 < 3x - 3 + 3 ≤ -66 + 3

Simplifying:

26 < 3x ≤ -63

Next, divide all parts of the inequality by 3:

26/3 < 3x/3 ≤ -63/3

Simplifying:

8.67 < x ≤ -21

Therefore, the solution to the inequality is:

x ∈ (-∞, -21]

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Answer:

A

Step-by-step explanation:

Remember that the formula for the area of a triangle is:

\(A=\frac{1}{2}bh\)

In this case, our base will be the distance from the origin point (0, 0) to (x₁, y₁).

Our height will be the distance from the origin point (0, 0) to (x₂, y₂).

So, let's find each of the distances using the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

BASE:

Let's let (x₁, y₁) be itself and let's let (0, 0) be (x₂, y₂). Substitute this into the distance formula. This yields:

\(d=\sqrt{{(0-x_1)^2+(0-y_1)^2\)

Simplify:

\(d=\sqrt{(-x)^2+(-y)^2\)

We can remove the negative:

\(d=\sqrt{((-1)x_1)^2+((-1)y_1)^2\)

\(d=\sqrt{x_1\!^2+y_1\!^2}\)

And this is the length of our base.

HEIGHT:

Let' let (0, 0) be (x₁, y₁) and (x₂, y₂) be itself. Substitute them into our distance formula:

\(d=\sqrt{(x_2-0)^2+(y_2-0)^2\)

Simplify. So, our height is:

\(d=\sqrt{(x_2)^2+(y_2)^2\)

Therefore, substitute the base and the height for b and h in our equation yields:

\(A=\frac{1}{2}(\sqrt{(x_1)^2+(y_1)^2)}(\sqrt{(x_2)^2+(y_2)^2})\)

We can combine the square roots by multiplying. So:

\(A=\frac{1}{2}\sqrt{(x_1\!^2+y_1\!^2)(x_2 \!^2+y_2\!^2)\)

The answer choice that represents this is A.

So, our answer is A.

And we're done!

Answer:

a

Step-by-step explanation:

Answer:

x= 0.41

Step-by-step explanation:

tan 9° =\(\frac{x}{2.6}\)

x= 2.6 tan9°  (cross multiply)

x= 0.41          (solve trignomatic function)

Answer:

\(2\frac{1}{5}\)

Step-by-step explanation:

The 11 gals of water are equally split up into 5 tanks, so divide 11 by 5.

\(\frac{11}{5}\) then simplifies into \(2\frac{1}{5}\)

Answer:

80,000

Step-by-step explanation:

1/4(25%)×60,000=20,000

20,000+60,000=80,000

The probability of at least 4 of the next 5 flights being overbooked is 1.0%.

The probability of an event occurring is determined by analyzing the data from a sample.

A histogram is often used to visualize the distribution of data, which can be used to calculate the probability of an event occurring.

By examining the histogram, you can determine the probability of a certain event occurring based on the height of the corresponding bar in the graph.

From the histogram, it is clear that the probability of at least 4 of the next 5 flights being overbooked is 1.0%.

This is because there is only one bar in the histogram that corresponds to the probability of 4 out of 5 flights being overbooked.

This bar has a height of 1.0%, which indicates a 1.0% probability of at least 4 out of 5 flights being overbooked.

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95% confident that the true population mean μ lies between 83.04 and 86.96

Confidence Interval

A confidence interval in statistics refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. Analysts often use confidence intervals than contain either 95% or 99% of expected observations.

First need to determine whether dealing with means or proportions in this problem. The sample and population mean, that  are dealing with means.

One sample mean, this mean creating a confidence interval for one sample (1 Sample  t Interval)

Normally we would check for conditions, but since this is not formulated as a real-world scenario type problem, it is hard to check for randomness and independence. Therefore excluding conditions from this answer.

The formula for constructing a confidence interval for means is as follows:

x ± t ( σ / \(\sqrt{n}\) )

The variables are:

x = 85

σ = 8

n = 64

Plug these values into the formula for the confidence interval

85 ± t ( 8 / \(\sqrt{64}\))

Finding the Critical Value (t)

In order to find t, use this formula:

\(\frac{1 - C}{2} = A\)

The z-score associated with A will give us t

So plug in the confidence interval 95% (.95) into the formula

\(\frac{1 - 0.95}{2} = 0.25\)

Use the calculator or a t-table to find the z-score associated with this area under the curve

t = 1.96

Constructing Confidence Interval

Finish the confidence interval created

= 85 ± 1.96 ( 8 / \(\sqrt{64}\) )

The confidence interval using this formula, to be

(83.04, 86.96)

Interpreting the Confidence Interval

95% confident that the true population mean μ lies between 83.04 and 86.96

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Answer: 15 goats

Step-by-step explanation:

h = hens - they have 2 legs

g = goats - they have 4 legs

The equations would be:

h + g = 19

2h + 4g = 68

To solve this, I personally prefer substitution, we're isolating h since we need to find g:

h + g = 19

h = 19 - g

Now that we have h, we can plug this into the second equation:

2h + 4g = 68

2(19 - g) + 4g = 68

38 - 2g + 4g = 68

2g = 30

g = 15

There are 15 goats.

Adding onto this, 19 - 15 = 4, so there are 4 hens.

The number 5/8 as a decimal is 0.625

As we divide a whole into smaller parts, we get decimals. Hence, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.   

An informal way to read a decimal is to first read the whole number as you would any whole number, then the decimal point as "point," and finally each individual digit of the rational part.

the decimal of 5/8 is

5÷8 = 0.625

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The probability of seeing a shooting star during the first 15 minutes of the hour is approximately 19.95%

To solve this problem, we need to use conditional probability. We want to find the probability of seeing a shooting star during the first 15 minutes of the hour given that the chances of seeing a shooting star in any given hour are 80%.

First, we need to determine the probability of seeing a shooting star in the first 15 minutes of the hour. Since the probability is uniform for the entire hour, we can assume that the probability of seeing a shooting star in any given minute is 80% divided by 60 (the number of minutes in an hour), which is approximately 1.33%.

To find the probability of seeing a shooting star during the first 15 minutes of the hour, we need to add up the probabilities of seeing a shooting star in each of the 15 minutes. This can be calculated as follows:

P(seeing a shooting star in the first 15 minutes) = P(seeing a shooting star in minute 1) + P(seeing a shooting star in minute 2) + ... + P(seeing a shooting star in minute 15)
= 15 x 1.33%
= 19.95%

Therefore, the probability of seeing a shooting star during the first 15 minutes of the hour is approximately 19.95%. This means that if you go out star gazing again and the chances of seeing a shooting star are 80%, there is a 19.95% chance that you will see one during the first 15 minutes of the hour you are out.

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The amount of cherrries that Dahlia has in stock at the end of the day is 69.

The first step is to determine the number of cherries that were remaining after 19 were sold.

Cherries remaining = 22 - 19 = 3

Number of cherries in the shipment == 22 x 3 = 66

Total number of cherries at the end of the day = 66 + 3 = 69

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First expand the equation.

-5e+5+6e = -17

Next, combine the like terms.

e+5 = -17

e = -22

Answer: The weight of the Apples is 160g

Step-by-step explanation:

If the apples were priced at $3.50/kg, then the cost of 1 kg of apples would be $3.50.

To find out the weight of 12 apples, we can divide the total cost of $6.72 by the cost of 1 kg of apples:

$6.72 ÷ $3.50/kg = 1.92 kg

So, the weight of 12 apples is 1.92 kg.

To find the average weight of 1 apple, we can divide the total weight of the 12 apples by the number of apples:

1.92 kg ÷ 12 = 0.16 kg

Finally, we need to convert the weight of 1 apple from kilograms to grams:

0.16 kg x 1000 g/kg = 160 g

Therefore, the average weight of an apple in grams is 160 g.

The proposal during the Constitutional Convention that created a House proportionate to population along with a Senate in which all states were represented equally was called the Great Compromise.

The Great Compromise, also known as the Connecticut Compromise, was a pivotal agreement reached during the Constitutional Convention of 1787. It was proposed by Roger Sherman and Oliver Ellsworth of Connecticut. The compromise aimed to resolve the debate between the large and small states over the representation in the newly formed legislative body.

The compromise suggested a bicameral legislature consisting of two chambers: the House of Representatives and the Senate. The House would be proportionate to the population of each state, ensuring that more populous states had more representatives. On the other hand, the Senate would provide equal representation for all states, regardless of their size or population.

This compromise struck a delicate balance between the interests of large and small states, ensuring that both had a say in the legislative process. It ultimately became a key component of the United States Constitution, shaping the structure of the American government and fostering the principle of federalism.

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Answer:

it is quite simple it's just that you need to substitute the input in place of x

eg:if the input is 2 then 2(3(2)+4) = 20 and 20 is the output

Answer:

option A

Step-by-step explanation:

The line splits the triangle ABC into two triangles with same base length.

Therefore ,

\(Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\\)

                   \(= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)\)\([ \ Given : AD = \ CD \ ]\)

                   \(= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD\)

Answer:

1. 1, 2, 3, 4, or 5

2. as long as it is -4, -5, -6, -7, and so on

Step-by-step explanation: