What is the comstant of proportionality for y=5x+3

Step-by-step explanation:

Let label this using a triangle.

We are sitting 300 ft away from the building.

We can look up to see the top of building at an angle of 60 degrees. So 60 degrees would be near where we standing at. The other angle of the top triangle would be 30 since that the height of building and the ground horizon is perpendicular to each other so they measure 90 degrees. Using triangle interior theorem, the missing angle would be 30.

We use another triangle since we are looking down.

The height of building and where we sitting at is perpendicular. The angle near we at would measure 15 and the missing angle would be 75.

The triangles both combine to form one triangle. They would form a isoceles triangle.

The most bottom angle of the triangles measure 75 while the angle where we are at of both triangle measure 75. so we have a isoceles triangle.

This means that the hypotenuse of the top triangle is equal to the length of the building.

To find the hypotenuse use 30-60-90 rules,

hypotenuse =twice of most shortest side.

\(h = 300 \times 2\)

\(h = 600\)

So the length of the building is 600.

Answer:

Answer is 9,49,169

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

The population variance is closest to 67.43, hence option C: 67.00, by referring the formula for population variance where N plays the number of data points.

The following gives the formula for population variance:

σ2 = (1 /N) ∑ (xi – μ) 2

Where:

σ2 refers to the population variance.

N refers to the total number of data points

∑ (xi – μ) 2 is the sum of the squared differences between each data point and the mean of the population.

For example, consider a population with data values of 12, 8, 28, 22, 12, 30, 14. The mean of this population is:

12+8+28+22+12+30+14)/7 = 18.

The population variance is calculated as follows:

σ2 = (1/7) [(12-18)2 + (8-18)2 + (28-18)2 + (22-18)2 + (12-18)2 + (30-18)2 + (14-18)2]

= 67.43

Therefore, the population variance is closest to 67.43.

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Complete question is:

Consider a population with data values of 12 8 28 22 12 30 14. The population variance is the closest to:

A. 8.00

B. 8.64

C. 67.00

D. 74.67

Lean systems coupled with statistical process control require a high degree of regimentation which in turn can lead to Worker stress.

Statistical process control is a system of quality control where statistical model, algorithm and and methods are used to monitor a process.

SPC is mainly practiced or implemented in two steps

While other processes uses correction from results, SPC helps in early detection and solving of the problem.

Now using SPC requires a high degree of regimentation from Man, Machine, Material, Method,  Environment. Now such high level of regimentation is not always effective on workers of a factory or system which in turn increase the worker stress.

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Answer:

\(\sqrt{37}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)

d = \(\sqrt{(4+2)^2+(8-9)^1}\)

   = \(\sqrt{6^2+(-1)^2}\)

   = \(\sqrt{36+1}\)

    = \(\sqrt{37}\) ≈ 6.1 ( to 1 dec. place )

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{FD}{BA}\) = \(\frac{FE}{BC}\) , substitute values

\(\frac{x+3}{2x+2}\) = \(\frac{16}{24}\) = \(\frac{2}{3}\) ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

The other 20% of those who went to California to dig for gold came from various countries and regions outside the United States.

During the California Gold Rush in the mid-1800s, the majority, approximately 80%, of the individuals who ventured to California in search of gold were Americans. However, the remaining 20% represented a diverse group of immigrants from different countries and regions around the world.

The allure of potential wealth drew individuals from various parts of Europe, such as Germany, France, Ireland, and Italy. Asian immigrants, particularly from China, also joined the gold rush in significant numbers. They traveled long distances to reach California, seeking opportunities to improve their economic circumstances. Additionally, people from Mexico and other parts of Latin America made their way to the goldfields, as did individuals from Australia and other corners of the globe.

This influx of immigrants resulted in a culturally rich and diverse community in the gold mining areas of California. It shaped the social fabric and contributed to the multicultural heritage of the region. The interactions and integration of people from different backgrounds during the gold rush played a pivotal role in shaping California's history and establishing its reputation as a land of opportunity.

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Answer:

2/935

Step-by-step explanation:

I have attached an image of the equation to use. Assuming that this is without replacement, we'll be taking out one piece out of the bag every time that one is chosen.

Therefore, for probability, the fraction is part/whole. We first have 9 red to 36 pieces in total, but if we take one out, we'll get 8 red left in the bag, and 35 pieces in total. This continues until we fulfill the prophecy (I don't know. qualifications?) that 4 of the pieces are red.

You can try this for yourself, but once simplified, it should be 3024/1413720, which simplifies to 2/935.

Please let me know if you need more clarification or have issues! probability can be confusing :)

Answer:

2/935

Step-by-step explanation:

dito^

Answer:

3x the answer with 3x

3x

To have only one solution the two lines must have different slopes, then the correct option is:

y = x + 4.

We want our system to have exactly one solution, so the two lines must have different slopes.

The already graphed line s:

y = 2x + 4

Notice that the slope is 2, then we need to select the option with an slope different than 2, which is the last option:

y = x + 4

If we graph that line, the system will have only one solution.

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Answer:

B

Step-by-step explanation:

Impulse, change in momentum, final speed, and momentum are all related concepts in the context of Newton's laws of motion. Let's go through each option and explain their relationships:

(a) Impulse delivered: Impulse is defined as the change in momentum of an object and is equal to the force applied to the object multiplied by the time interval over which the force acts.

Mathematically, impulse (J) can be expressed as J = F  Δt, where F represents the net force applied and Δt represents the time interval. In this case, you mentioned that the net force acting on the crates is shown in the diagram. The impulse delivered to each crate would depend on the magnitude and direction of the net force acting on it.

(b) Change in momentum: Change in momentum (Δp) refers to the difference between the final momentum and initial momentum of an object. Mathematically, it can be expressed as Δp = p_final - p_initial. If the crates start from rest, the initial momentum would be zero, and the change in momentum would be equal to the final momentum. The change in momentum of each crate would be determined by the impulse delivered to it.

(c) Final speed: The final speed of an object is the magnitude of its velocity at the end of a given time interval.

It can be calculated by dividing the final momentum of the object by its mass. If the mass of the crates is provided, the final speed can be determined using the final momentum obtained in part (b).

(d) Momentum in 3 s: Momentum (p) is the product of an object's mass and velocity. In this case, the momentum in 3 seconds would be the product of the mass of the crate and its final speed obtained in part (c).

To rank these quantities from greatest to least for each crate, you would need to consider the specific values of the net force, mass, and any other relevant information provided in the diagram or problem statement.

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-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Answer:

B

Step-by-step explanation:

Answer:

B.4^3

Step-by-step explanation:

Im smart (not really!!! I just got this right on  A-P-E-X!!!)

Answer:

x = 40

Step-by-step explanation:

∠D = ∠ADB + ∠BDC

    = 30 + 40

    = 70°

In ΔBDC,

BD = CD

∠DBC = ∠DCB  {angles opposite to equal sides are equal}

∠DBC + ∠DCB + ∠BDC = 180  {Angle sum property}

2∠DCB + 40 = 180

             2∠DCB = 180 -40

             2∠DCB = 140

    ∠DCB= 140/2

∠DCB = 70°

In ΔADC,

x + ∠D + ∠C = 180

x + 70 + 70 = 180

x + 140 = 180

x = 180 - 140

x = 40°

Answer:

  72 cm²

Step-by-step explanation:

You want the area of a shape consisting of a rectangle and a triangle. The rectangle is 7 cm long and 8 cm high. The triangle has a base of 8 cm and a height of 4 cm.

The area of the rectangle is ...

  A = bh

  A = (8 cm)(7 cm) = 56 cm²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(8 cm)(4 cm) = 16 cm²

The total area is the sum of the areas of the parts:

  total area = rectangle area + triangle area

  = (56 cm²) +(16 cm²) = 72 cm²

The area of the shape is 72 cm².

__

Additional comment

You can see from the area formula that the area of a triangle is half the area of its enclosing rectangle. That is, the 4 cm high triangle on the right side of the figure effectively adds the area of a 2 cm  wide rectangle with the same base.

The figure's area is equivalent to that of a rectangle 7+(4/2) = 9 cm wide and 8 cm high: (9 cm)(8 cm) = 72 cm², as above.

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The first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is anThe first quartile is always equal to one of the  valuesin the sample when the sample size is a multiple of 4. This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is an even number of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.

In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4. of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.
In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

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Answer:

x=45°

Step-by-step explanation:

A straight line is 180°. Since we have a 90° angle, and CD is a straight line, 90/2=45

45° is the answer.

Hope this explanation is understandable!

Hope this helps!

If not, I am sorry.

Answer: k=18

Step-by-step explanation:

1) Multiply all terms by the same value to eliminate fraction denominators: 2•k/2=2•9

2) Cancel multiplies terms that are in the denominator: k=2•9

3) Multiply the numbers: k=18

4) Get the solution

m - 9 = 42

42 is our final answer so that should be by itself.

If something is being decreased by 9, that means that we are taking away 9 from something so it should be m - 9.

Answer:

m-9=42

Step-by-step explanation:

I'm pretty sure that m-9=42 is the correct answer because m or the amount is being decreased by 9 as 9 is being subtracted from it.

Answer:

p = -10 and p = -5

Step-by-step explanation:

p must be less than -2.5So, the possible value of p from the given options are,p = -10 and p = -5.

Answer:

Step-by-step explanation:

An isosceles triangle is a one that has two of its sides equal. Hence option (c) is correct because here two sides have length of 11.9.

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Answer:

Not much sure if this is a joke but 1+1 is 2 not 11.

Step-by-step explanation:

I hope I helped.

Have a great day ;)

Answer:

he is buying it for 11.25. you get this buy multiplying 15 by 25% which equals 3.75 then you subtract 15 by 3.75 and you get 11.25

hope it helps

please mark as brainliest

Step-by-step explanation:

Answer:

11.25$

Step-by-step explanation:

The measure of angle E is (b) 50°

The given parameters are:

The similarity of the triangles implies that:

From the figure, we have:

angle A = 50

Substitute angle A = 50 in angle A = angle E

angle E = 50

Hence, the measure of angle E is (b) 50°

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Answer:

1 hour and 30 minutes

Step-by-step explanation:

The correct option from the given options is (a) a lower bound on how many donuts he can eat in one sitting.

A lower bound is a value which is equal to or greater than the minimum value of a set. In this given scenario, eight donuts are a lower bound on how many donuts a teenager can eat in one sitting. He might be able to eat more than eight donuts in one sitting but he cannot eat less than eight donuts in one sitting because it's a lower limit.

A lower limit or a lower bound is an absolute minimum. It is the minimum number of donuts that the teenager can consume in one sitting. In this scenario, there is a possibility that the teenager might eat more than eight donuts, but the lower limit is eight.

Therefore, the correct option is (a) a lower bound on how many donuts he can eat in one sitting.

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