A force of 343.8 N is used to push a car 38.5 m horizontally in 4.86 s. Calculate the power developed.

2x+54=8x

So. The Answer is 7

Answer:

7

Why?

Type into a calculator 360=55x-25

Answer:

  rectangle, square, triangle

Step-by-step explanation:

Given the coordinates of the vertices of a rectangle, triangle, and square, you want to sort them in order of increasing perimeter.

In general, the length of a side can be found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

This shows you that if the x-coordinates are the same, the distance is the positive difference of the y-coordinates, and vice versa.

The attachment shows the side lengths for the figures, computed using this formula. Each row shows the distance from the point on that row to the point on the next row. (You will notice the last point is a copy of the first point.)

The perimeter of each figure is the sum of the side lengths. This is the number below the Distance column in each of the tables.

In increasing order, the perimeters are ...

__

Additional comment

When the computations are repetitive, it is often convenient to let a spreadsheet do them. The formula can be entered once and copied where needed. The problem then reduces to one of data entry, which you generally have to do for any but mental arithmetic.

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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The ice cream shop could order a different size scoop with a diameter closer to 1.732 in for an even better fit.

Ice cream scoop will be the best fit for the waffle cones need to find out the diameter of the cones.

We can use the given height and volume of the cones to calculate the diameter using the formula for the volume of a cone:

V = (1/3) × π × r² × h

V is the volume r is the radius (which is half the diameter) and h is the height.

Rearranging the formula to solve for r we get:

r = √((3V) / (πh))

Substituting the given values of V = 3π in³ and h = 4 in we get:

r = √((3π) / (4π))

= √(3/4)

= 0.866 in

So, the diameter of the waffle cones is approximately 1.732 in (twice the radius).

Now we can compare this diameter to the diameters of the #12 and #6 scoops.

The #12 scoop has a diameter of 2.5 in is larger than the cone diameter of 1.732 in so it may not be the best fit.

The #6 scoop has a diameter of 3 in is larger than the cone diameter but closer in size so it may be a better fit than the #12 scoop.

The ice cream shop could order a different size scoop with a diameter closer to 1.732 in for an even better fit.

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The 8 painters will take 12 hours and 9.6 minutes to paint the office. The result is obtained by comparing the two variables, worker and time duration.

If the they work at the same rate, find the time needed for the 8 painters to finish their job!

Let's say

We convert the unit of time in hours.

t₁ = 7 h 36 min

t₁ = (7 + 36/60) h

t₁ = (7 + 0.6) h

t₁ = 7.6 hours

If they work at the same rate, the number of workers and time durations of each day are directly proportional. So,

w₁/w₂ = t₁/t₂

5/8 = 7.6/t₂

t₂ = 8/5 × 7.6

t₂ = 12.16 hours

In hours and minutes,

t₂ = 12 h + (0.16 × 60) min

t₂ = 12 h 9.6 min

Hence, to paint the office, the 8 painters will take 12 hours and 9.6 minutes.

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Answer:

2 x 10^5

200,000 / 10 = 20,000

20,000 / 10 = 2,000

2,000 / 10 = 200

200 / 10 = 20

20 / 10 = 2

I divided 200,000 by 10 five times to get a number less than 10.

So, 5 is going to be the exponent.

Question Explanation:

In other words you can write 200,00 using a whole number and a power 10 using scientific notation!

In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.

Solution:

200,000 / 10 = 20,000

20,000 / 10 = 2,000

2,000 / 10 = 200

200 / 10 = 20

20 / 10 = 2

I divided 200,000 by 10 five times to get a number less than 10.

So, 5 is going to be the exponent.

-----------------------------------

Answer:

2 x 10^5

-----------------------------------

Hope This Helped! Good Luck!

Answer:

See attached

Step-by-step explanation:

Table filled in, see picture

So you get Q'(-3, 6) from Q(-1, 4) by applying the rule (x + (-4), y + 2).

Same steps for other vertices done and shown in the table.

Hope it is more clear.

Answer:

clearly the answer is what the other guy said.... he big brain

Step-by-step explanation:

The area of the circle is calculated by the formula, A = πr².

The area of a circle is the total amount of space that is enclosed by the boundary of a circle.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

To find the area of a circle in terms of π, we use the formula:

A = πr²

where A is the area of the circle and r is the radius of the circle.

Therefore, the area of the circle is calculated by the formula, A = πr².

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Therefore the length of rectangle is 9x + 6.

The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.

Quadratic factorization using splitting of middle term : In this method splitting of middle term in to two factors. In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term.

Given that a rectangle has an area of 45x^{2}  - 42x - 48 and a

width of 5x - 8.

Therefore

Area of rectangle = A = 45x^{2} - 42x - 48

Width of rectangle = b = 5x - 8

Length of rectangle = a

We know that area of rectangle = a × b

⇒ 45x^{2} - 42x - 48 = a × (5x - 8)

⇒ 3(15x^{2} - 14x - 16)  = a × (5x - 8)

⇒ 3(15x^{2} - 14x - 16) = a × (5x - 8)

⇒ 3(15x^{2} -24x + 10x - 16) = a × (5x - 8)

⇒ 3[3x(5x - 8) + 2(5x - 8)] = a × (5x - 8)

⇒ 3(5x - 8)(3x + 2) = a × (5x - 8)

⇒ 3(3x + 2) = a

⇒ 9x + 6 = a

Hence the length of rectangle = 9x + 6

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Answer: the answer is 4.5

Step-by-step explanation:

The value of $\#(\&4)$ is 81. We first evaluated $\&4$ using the definition given, which gave us the value 9. Then, we substituted this value into the definition of $\#x$ to find the final answer of 81.

To find the value of $\#(\&4)$, we first need to evaluate $\&4$. Using the given definition of $\&x$, we have:

$$\&4 = 4 + 5 = 9$$

Now, we can substitute this value into the definition of $\#x$:

$$\#(\&4) = \#9 = 9^2 = 81$$

Therefore, the value of $\#(\&4)$ is 81. We first evaluated $\&4$ using the definition given, which gave us the value 9. Then, we substituted this value into the definition of $\#x$ to find the final answer of 81.
To find the value of #(&4), let's first compute &4.

According to the definition, &x = x + 5. So, &4 = 4 + 5 = 9.

Now we need to find the value of #9. The definition of #x is x², which means #9 = 9² = 81.

Therefore, the value of #(&4) is 81.

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The factor of the given polynomial n² + 26n + 88 is (n + 4) and (n + 22). Then the correct option is B.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

n² + 26n + 88

Then the factor of the given polynomial will be

n² + 22n + 4n + 88

n(n + 22) 4(n + 22)

(n + 4)(n + 22)

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Answer:

2,278,221

Step-by-step explanation:

two million, two hundred seventy-eight thousand, two hundred twenty-one

Hope this helps and pls do mark me brainliest if you can:)

Answer: 5

Step-by-step explanation:

Answer: The translation used to create the image is 2 units to the right and 2 units up.

Step-by-step explanation: To determine the translation used to create the image, you need to compare the original figure to the image on the graph. Look at the direction and distance that the figure moved. Then, describe the movement using the words "up", "down", "left", "right", and "units".

Answer:

D

Step-by-step explanation:

answer is d

The height of the pickle ball when it was hit is = h = AB = 8.5 feet

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent.

Applications of Trigonometry:

Measuring grounds lots, and fields,

Measuring ground surfaces,

Making building perpendicular and parallel,

Roof inclination and roof slopes,

Installing ceramic tiles and stones,

The height and width of the building.

Given in figure

(in feet)

ED = 3

BC = 34

BD = 22

AB = h = height of the pickle ball

Therefore DC = 34 - 22 = 12

In ΔEDC

Let ∠ECD = a

tan a = ED/DC

⇒ tan a = 3/12

⇒ tan a = 1/4         (1)

In ΔABC

∠ACB = a

tan a = h/34

⇒ 1/4  = h/34      (from 1)

⇒ h = 34/4

⇒ h = 8.5

Hence height of the pickle ball is 8.5 feet.

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Answer:

40

Step-by-step explanation:

divide the volume value by 8

Answer:

385 cm volume

Step-by-step explanation:

Length-- 7

width-- 5

height-- 1 1

Volume formula -- L times W times H = V.

Multiply all those and you get 385cm squared.

have a great Day!!!!!

By using the definition of continuity and exploiting the fact that f(0) = 1, we were able to prove the existence of an open interval (a, b) containing 0 such that for any real number r within this interval, the function value f(r) is greater than 0.

First, let's recall the definition of continuity at a point. A function f is continuous at a point c if, for any positive number ε, there exists a positive number δ such that whenever x is within δ of c, the value of f(x) will be within ε of f(c).

Now, since f is continuous at 0, we can say that for any positive ε, there exists a positive δ such that if |x - 0| < δ, then |f(x) - f(0)| < ε.

Since f(0) = 1, the above inequality simplifies to |f(x) - 1| < ε.

We want to find an open interval (a, b) containing 0 such that for any r within this interval, f(r) > 0. Let's consider ε = 1 as an arbitrary positive number.

From the definition of continuity at 0, we can find a positive δ such that if |x - 0| < δ, then |f(x) - 1| < 1. This implies -1 < f(x) - 1 < 1, which further simplifies to 0 < f(x) < 2.

Now, consider the interval (a, b) = (-δ, δ). Since δ is positive, it ensures that 0 is within this interval. Also, since f(x) is continuous on this interval, we can conclude that f(r) > 0 for all r within (-δ, δ).

To prove this, let's take any r within (-δ, δ). Since r is within this interval, we have -δ < r < δ, which implies |r - 0| < δ. By the definition of continuity at 0, we know that |f(r) - 1| < 1. Therefore, 0 < f(r) < 2, and we can conclude that f(r) > 0.

Hence, we have shown that there exists an open interval (a, b) containing 0 such that for all r within this interval, f(r) > 0.

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Answer:

f(5) = -3

Step-by-step explanation:

f(x) = -2x + 7

f(5) = -2(5) + 7

f(5) = -10 + 7

f(5) = -3

The value of the function at x  = 5 will be equal to f(5) = -3

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is f(x) = -2x + 7. The value of the function at x=5 will be calculated as,

f(x) = -2x + 7

f(5) = -2(5) + 7

f(5) = -10 + 7

f(5) = -3

Therefore, the value of the function at x  = 5 will be equal to f(5) = -3.

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Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

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The slope of the line u is -8/7.

What is a line?

⇒ A mark connecting two points, something stretched between two things, or two or more people standing in a row is called a line.

What is a slope?

⇒ The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

What is the rule for the slope of perpendicular lines?

⇒ The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1 / m.

Calculation:

It is given that the line u and the line t are perpendicular to each other

We also know that If two lines are perpendicular to each other, then their slopes will be negative reciprocals of each other.

We have been given that the line t has a slope of 7/8, Its negative reciprocal will be the slope of line u

Slope of line u = -{1/(7/8)}

= (-8/7)

⇒Hence, the slope of the line u is -8/7.

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Their expertise will help optimize the water supply to the farmhouse, promoting efficient irrigation and reliable water access for agricultural activities.

A farmer wanting to have a water pipe installed from the water source to his farmhouse must consider various factors to ensure an efficient and reliable water supply. Here are some important considerations for the installation process:

1. Water Source: The farmer needs to identify a reliable water source that can provide sufficient water for agricultural needs. This could be a well, a nearby river or stream, or a municipal water supply.

2. Distance and Terrain: The farmer should measure the distance between the water source and the farmhouse. The length of the pipe required will affect the cost and feasibility of the installation. Additionally, the terrain between the source and the farmhouse must be assessed. If there are any hills, valleys, or obstacles in the way, it may require additional planning and equipment to overcome them.

3. Pipe Material: Selecting the right type of pipe material is crucial. Common options include PVC (polyvinyl chloride), HDPE (high-density polyethylene), or metal pipes. Factors such as durability, cost, and compatibility with the water source need to be considered.

4. Pipe Size: The pipe size will depend on the desired water flow rate and the pressure needed at the farmhouse. Calculating the required flow rate involves considering the water demand for irrigation, livestock, and household use. Consulting with an expert or a professional plumber can help determine the appropriate pipe size.

5. Pump System: In cases where the water source is at a lower elevation than the farmhouse, a pump system may be required to lift the water to the desired height. The type and capacity of the pump should be selected based on the total head (vertical lift) and the flow rate required.

6. Safety and Regulations: Compliance with local regulations and safety standards is essential. The installation should follow any specific guidelines, such as burying the pipes at the appropriate depth to protect them from freezing or damage.

7. Maintenance and Access: Consideration should be given to the accessibility of the pipes for maintenance and repairs. Having easy access points along the pipeline will allow for efficient monitoring and addressing any potential issues.

8. Budget: The farmer should determine a budget for the installation, including the cost of materials, labor, and any additional equipment required. Obtaining quotes from multiple contractors or suppliers can help in making an informed decision.

It is advisable for the farmer to consult with professionals, such as plumbers, irrigation specialists, or agricultural engineers, to ensure a well-designed and properly installed water pipe system. Their expertise will help optimize the water supply to the farmhouse, promoting efficient irrigation and reliable water access for agricultural activities.

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NOTE- THIS IS NOT MATHEMATICS QUESTION. IT IS SOCIAL STUDIES QUESTION

The correct option is that C. Player A is the most consistent, with an IQR of 2.5.

The IQR is a spread metric that is less influenced by extreme values. It is the difference between the third (Q3) and first (Q1) quartiles. The quartiles for Player A are as follows:

Q1 = 2

Q3 = 4

IQR = Q3 - Q1 = 4 - 2 = 2

The quartiles for Player B are as follows:

Q1 = 2

Q3 = 5.5

IQR = Q3 - Q1 = 5.5 - 2 = 3.5

The IQR is regarded a better indicator of variability than the range since it is less impacted by extreme results. As a result, we may infer that the interquartile range is the best measure of variability for this data.

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Factoring quadratics is a technique used to simplify and solve quadratic equations. When the leading coefficient (a) of the quadratic equation is not equal to 1, it becomes slightly more complicated to factor. To factor quadratics when a does not equal 1, one must use a method called grouping.

The first step is to multiply the coefficient of the leading term (a) by the constant term (c) of the quadratic equation. This gives you two numbers that add up to the coefficient of the middle term (b). These two numbers will be used to group the terms in the quadratic equation.

Next, the quadratic equation is split into two parts, where each part includes two terms that are grouped based on the two numbers obtained in the first step. From here, factoring can be done using the distributive property.

Once the equation is factored, it can be solved by setting each factor equal to zero and solving for the variables. It's important to remember to check solutions by plugging them back into the original equation.

In conclusion, factoring quadratics when a does not equal 1 involves using a method called grouping to factor the equation. This technique is slightly more complicated than when a equals 1, but it can still be easily mastered with practice.

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Answer:

m = -2

Step-by-step explanation:

y = -2x - 3

Answer:

Let -5x+y=-3 be the first equation, and 3x-8y=24 be the second. Let's manipulate the first equation by adding 5x to both side; resulting in y=-3+5x, or 5x-3. Now let's plug in 5x-3 for wherever y has been in the second formula. 3x-8(5x-3)=24. This is now pretty straightforward to solve for x. We distribute the 8 into (5x-3) and get 3x-40x-24=24. -48=27x. x=-48/27, x=-16/9.

Now let's plug in the x for either one of the equations to get y. 3(-16/9)+8y=24. -16/3+8y=24. 8y=24+16/3. 24y=72+16. 24y=88. y=88/24, y=11/3.

Step-by-step explanation: