someone be a kind soul and help me

Answer:

A total of 8926 people will be the population in 20 years

Step-by-step explanation:

Every year the population decreases by 3.2%.

This means this year, (24806 × 3.2%) will decrease the population.

24806 × 3.2% = 793.792 = 794 rounded up.

So it will decrease by 794 people each year for 20 years.

Therefore 794 × 20 = 15880

So the population in 20 years will be 24806 - 15880 = 8926

So 8926 people will be available in 20 years to come. That's the population in 20 years.

Answer: In this exercise we have to calculate the values ​​of the people who voted to expand the parking lot, so we have to:

Yes: parents will be 150 and not parents 40

No; parents will be 40 and not parents 30

As it is about sets, we have to use the data that were:

   total: 250 adults

   180 of whom were parents a park should be expanded.

   40 of the adults who were not parents thought the park should be expanded.

then calculate that:

Step-by-step explanation:

The surveyed parents favor park extension, and two way table is a way or representation of data. and The two-way table is completed as,

                        yes      no

parents              150  |    30

                                 |

not parents        40   |      30

The two-way table shown in the table is attached below.

What is two way table?

Two-way table is a way of representing of data to better understand it.

Given information-

The total number of adults took the survey is 250.

Total number of parents took the survey is 180.

150 of the adults with children and 40 of those without thought the park should be expanded.

Suppose the number of adults who are not the parents and took the survey is .

As the total number of adults took the survey is 250 in which the number of parents took the survey is 180. Thus the number of adults who are not the parents and took the survey is,

Suppose the parents who does not thing that the park should be expanded is .

There is total 180 parents. As 150 of the adults with children thought the park should be expanded. Thus, the parents who does not thing that the park should be expanded is,

Form the 70 adults who are not parents things that park should be expanded is 40, hence the adults who are not parents does not thing the park should be expanded is (70-40) which is 30.

Hence the two way table is completed as,

                        yes      no

parents              150  |    30

                                 |

not parents        40   |      30

the two way

YES                    NO

                          30  

                          30

(parents 150

not parents_40

Answer:

About 50 percent

Step-by-step explanation:

Answer:

Consider the original trapezoid and the reduction. A trapezoid has corresponding side lengths of 13. 5 centimeters and 9 centimeters. Side A corresponds to a side with length 3 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters, on the reduced trapezoid? 1 1. 5 2 2004. 5.

Step-by-step explanation:

Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.

To represent a whole, divide it into any number of equally parts, or fractions. How many units of a particular size there are is expressed using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of such numerator to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or population of a sophisticated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of the a total number or item.

Here,

Given : Six and a half metric tons of soil are removed from a construction site by a construction company in one and a half hours.

Thus,

5/3 hours and 13/2 metric ton

So,

=> 13/2 / 5/4

=> 13/2 * 4/5

=> 52/10

=>5.2

Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.

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Answer:

C

Step-by-step explanation:

The congruency rules, AAS and ASA do not work as these triangle do not share any congruent angles or sides.

Answer:

4/3 or 1 1/3

Step-by-step explanation:

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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The quadratic formula is an essential tool for finding the solutions of quadratic equations, and standard form is necessary for applying this formula. Standard form provides a clear and concise way to express quadratic equations, allowing for easier analysis and manipulation.

The quadratic formula is a powerful tool used to find the solutions of a quadratic equation. However, it can only be applied to quadratic equations that are in standard form. Standard form is a specific format for writing quadratic equations, which is ax^2 + bx + c = 0. In this form, the coefficients a, b, and c are clearly identified, and this is essential for using the quadratic formula.
The quadratic formula is derived from completing the square of a quadratic expression. This means that the quadratic equation must be expressed in the form of (x + p)^2 + q = 0, where p and q are constants. This form allows the expression to be rearranged into the quadratic formula, which is (-b ± √(b^2 - 4ac)) / 2a. If the quadratic equation is not in standard form, it cannot be rearranged in this way, and the quadratic formula cannot be used.
In addition, standard form allows for the easy identification of the coefficients a, b, and c. The value of a determines the shape of the parabola, while the values of b and c determine the location of the vertex and the x-intercepts. By using standard form, it is easier to understand the properties of the quadratic equation and to make meaningful comparisons between different quadratic equations.
In conclusion, the quadratic formula is an essential tool for finding the solutions of quadratic equations, and standard form is necessary for applying this formula. Standard form provides a clear and concise way to express quadratic equations, allowing for easier analysis and manipulation.

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Answer

\(\frac{573}{400}\)

step-by-step explanation:

\(\frac{1.4325}{1}\) ×  \(\frac{10000}{10000}\)  =  \(\frac{14325}{10000}\)

Simplify

\(\frac{14325}{10000}\) ÷\(\frac{25}{25}\) = \(\frac{573}{400}\)

cos 29 = 1. 9 / x

Cross - mulitply, we have:

x = 1. 9 / cos 29

x = 2.17 feet = 2. 2 feet ( nearest tenth )

There is only one way 345 can be written as the sum of an increasing sequence of two or more consecutive positive integers. The correct answer is A) 1.

To find the number of ways 345 can be written as the sum of an increasing sequence of two or more consecutive positive integers, we need to consider the factors of 345.

First, let's find the prime factorization of 345: 345 = 3 * 5 * 23.

Now, let's focus on factor 23. Since the sequence needs to have at least two consecutive positive integers, the smallest possible sequence would be 23 and 24. We can see that any larger sequence would have a sum greater than 345.

Therefore, the only possible way to write 345 as the sum of an increasing sequence of two or more consecutive positive integers is 23 + 24.

Hence, the answer is option (a) 1.

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Robert, Juan, Susan, and Linda scored above the mean, Joel scored on the mean, and Jan scored below the mean on the advanced first aid course's final exam based on their z-score. Their final exam scores were 172, 184, 190, 150, 166, and 182, respectively.

The students with positive z-scores scored above the mean. So, Robert, Juan, Susan, and Linda scored above the mean. The student with a z-score of 0.00 scored on the mean. So, Joel scored on the mean. The student with a negative z-score scored below the mean. So, Jan scored below the mean.

To find the final exam score for each student, we can use the formula:

z = (x - m) / s

where z is the z-score, x is the final exam score, m is the mean score, and s is the standard deviation.

Rearranging the formula, we get:

x = z * s + m

Using the given values of z, s, and m, we can find the final exam score for each student:

Robert: x = 1.10 * 20 + 150 = 172

Juan: x = 1.70 * 20 + 150 = 184

Susan: x = 2.00 * 20 + 150 = 190

Joel: x = 0.00 * 20 + 150 = 150

Jan: x = 0.80 * 20 + 150 = 166

Linda: x = 1.60 * 20 + 150 = 182

So, the final exam scores for Robert, Juan, Susan, Joel, Jan, and Linda are 172, 184, 190, 150, 166, and 182, respectively.

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Answer:

m=3, or in y-intercept form, y=3x-3

Answer:

19.0415

Step-by-step explanation:

Answer:

19.0415

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

N. comic books : Non N. Comic books=

1:3

Total number of parts= 4

If the total number of parts is 4 then logically , 4 represents 28.

So here we'll write

4 p = 28

I p = 28/4= 7

The native comic books is 1 p.

So we'll write,

1 p = 7 ×1 = 7 comic books

The ship began 9.6 miles from the lighthouse, and it finished 9.8 miles from the lighthouse.

To find the distance between the ship and the lighthouse at each location, we can use trigonometry and the given bearings.

Let's consider the initial position of the ship. The bearing of N 12° E means that the ship is 12° east of the north direction. Since the ship sailed due south for 9.9 miles, we can create a right triangle where the distance between the ship and the lighthouse is the opposite side and the distance sailed (9.9 miles) is the hypotenuse.

Using trigonometry, we can find the opposite side by using the sine of the angle:

sin(12°) = opposite / 9.9

opposite = 9.9 * sin(12°)

opposite ≈ 2.093 miles

Therefore, the ship began approximately 2.1 miles from the lighthouse.

Now let's consider the final position of the ship. The new bearing of N 30° E means that the ship is 30° east of the north direction. The ship finished at a distance of 2 miles from the lighthouse. Again, we can create a right triangle and find the opposite side using the sine of the angle:

sin(30°) = opposite / 2

opposite = 2 * sin(30°)

opposite ≈ 1 mile

Therefore, the ship finished approximately 1 mile from the lighthouse.


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Answer:

Y = 10 when X = 20

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

y∝x∴y=k⋅x or k=y over x=2.50.5=5

 (k is proportionality costant) When

x

=

20

;

y

=

5

⋅

20

=

100

[Ans]

Answer:

4/5 or 16/20

Step-by-step explanation:

did my best with the info provided

Answer:

4/5

Step-by-step explanation:

8/10 = 80%  1. / the fraction by 2

4/5 = 80%

Answer:

Difference

Step-by-step explanation:

The Difference of boys and girls in the school coyld change the ratios

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

n=34.24

Step-by-step explanation:

solve for n by simplifying both sides of the equation, then isolating the variable

Step-by-step explanation:

Hope this helps you

Ahhh.. Okay now it's long enough

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer: 864

Step-by-step explanation:

The formula is 4/3 pie radius ^3 but since it says 3 just use three. Now the radius is 6. So you do 4/3 times 3 times 6^3 and you get 864. I hope this helps.

Should there be a global effort to sharply reduce the cutting and burning of old-growth forests?

Yes, there should be a global effort to sharply reduce the cutting and burning of old-growth forests. Old-growth forests are vital ecosystems that provide numerous environmental, social, and economic benefits. They are home to diverse species, including endangered ones, and play a crucial role in carbon sequestration, mitigating climate change, and preserving biodiversity.

Cutting and burning old-growth forests contribute to deforestation, habitat loss, and greenhouse gas emissions. It disrupts ecosystems, threatens species survival, and exacerbates climate change. Protecting old-growth forests is essential for maintaining ecological balance and promoting sustainable development.

Numerous references and scientific studies support the importance of preserving old-growth forests. Some relevant sources include:

"The Importance of Old-Growth Forests" by the World Wildlife Fund (WWF): https://www.worldwildlife.org/initiatives/old-growth-forests

"Old-growth forest protection: A key tool in fighting climate change" by The Nature Conservancy: https://www.nature.org/en-us/what-we-do/our-insights/perspectives/old-growth-forest-protection-fighting-climate-change/

"Old-Growth Forests: Function, Fate and Value" by the United Nations Environment Programme (UNEP): https://www.unep-wcmc.org/resources-and-data/old-growth-forests-function-fate-and-value

These resources provide comprehensive information on the importance of old-growth forest conservation and the need for global efforts to reduce cutting and burning practices.

The question provided seems incomplete and unclear. It mentions a relationship between letters of the alphabet and percentages but does not provide any context or options to choose from. Please provide more information or clarify the question, and I'll be glad to assist you further.

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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Answer: 50

Step-by-step explanation: