What is the sum of the exterior angles of a 25-gon

The distance below the bridge that  kate will eventually be hanging, once she stops oscillating and comes finally to rest is: d = mg/k + L.

LetForce exerted by a spring=F=kx

Let x = (d – L)

Let d= Total length of the bungee cord

Let set this equal to the gravitational force

F(spring) = k(d – L)

F(gravity) = mg

Hence:

k(d – L) = mg

(d – L) = mg/k

d = mg/k + L

Inconclusion  the distance below the bridge that  kate will eventually be hanging, once she stops oscillating and comes finally to rest is: d = mg/k + L.

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The Texas governor who worked for public support of "bread bonds" was Miriam Amanda Ferguson.

Miriam Amanda Ferguson was an American politician who was born on the 13th of June, 1875 in Bell County, Texas, United States of America and she died on the 25th of June, 1961 in Austin, Texas, United States of America.

Miriam was elected to serve as the governor of Texas on two occasions during which supported many "New Deal" initiatives such as "bread bonds" along with federal funds to provide public support and address their welfare needs.

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The two statements that refer to the certificate of deposits are:

This is also referred to as time deposit. The deposit is a certificate that is issued to a person that is keeping money in a bank for a particular time period at a given rate of interest.

This certificate is gotten for almost any amount of money from the banks that are issuing them.

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Answer:

B. It can be purchased from a banking institution.

C. It can be purchased for almost any amount.

Explanation:

The functions f(x) and g(x) are represented by their equations

The correct statement is that function g(x) is translated 2 units down to function f(x)

The functions are given as:

f(x) = 3x - 2

g(x) = 3x

Substitute 3x for g(x) in function f(x)

f(x) = g(x) - 2

The above means that:

Function g(x) is translated 2 units down to function f(x)

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The enthalpy change involved in the dissolution of 17. 5 grams of NH₄NO₃ in water is +5.47 KJ

1 mole of NH₄NO₃ = 14 + (1×4) + 14 + (3×16) = 80 g

Thus, we can say that:

80 g of NH₄NO₃ has an enthalpy change of +25 KJ

Therefore,

17.5 g of NH₄NO₃ will have an enthalpy change of = (17.5 × 25) / 80 = +5.47 KJ

Thus, the enthalpy change for 17.5 g of NH₄NO₃ is +5.47 KJ

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Answer:

from forth the fatal loins of these two foes; a pair of star-cross'd lovers take their life.

The best estimate for the age of the plant at 19 inches tall height is; 28 months

We are given the time in months as;

1, 2, 3, 4, 5, 6 months.

We are also given the corresponding heights for those months respectively as; 18.2, 18.21, 18.33, 18.42, 18.46, 18.54

Now, when we punch those values into an online regression calculator, we arrive at the regression equation as;

y = 18.001 + 0.3ln(x)

We want to find the best estimate for the age of the plant at 19 inches tall height. Plugging in 19 for x in the regression equation gives;

y = 18.001 + 0.3ln(19)

Solving theis gives; y = 28 months

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The t-statistics that will ba calculated from the data about the steel housing will be -5.936.

From the information given, the component part of the housing is a steel trough that is made out of a 14-gauge steel coil.

From the complete question that has the data, the t-statistic will be calculated thus:

u = 8.46

x bar = 8.422

s = 0.04

n = 49

Therefore, the t-statistics will be:

= (8.421 - 8.46) / (0.046 / ✓49)

= -5.936

In conclusion, the t-statistics is -5.936.

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Answer: C) No conclusion can be drawn

Explanation:

The theme that is best supported by the poem is that Hope can sustain people through difficult times.

The main Themes in “Hope” is the Thing that has to do with the Feathers. Here, Hope is said to be the major theme that is found in all of the poem.

Emily in her view or statement stated that hope is one that  resides in the hearts that is often used for good. It is one that tends to liberates us from pain and gives us the strength.

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Answer:

d. hope can sustain people through difficult times

Explanation:

Answer:

He will need to work 22 more hours in the remainder of the week

The phrases from the passage which are oxymorons are;

Oxymoron is a figure of speech which gives two words or two phrases that are contradictory in meanings to one another.

The phrases; Happy dagger and Timeless end are oxymorons because a dagger when used depict sadness or harmful, So, it can't be a happy dagger.

On the other hand, timeless end is not possible because a end is an endpoint and cannot be timeless at the same time.

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Answer:The answers are

Explanation: B, and E

Answer: 0.975 m^2

Explanation:

θ = 0.5αt^2

8.20 revolutions = 8.20 x 2π = 51.52 rad

51.52 = 0.5α(12)^2

α = 0.716 rad/s^2

ω = αt = 0.716(12) = 8.592 rad/s

KE = 1/2Iω^2

36 = 0.5I(8.592)^2

I = 0.975 m^2

Therefore, the moment of inertia of the wheel is approximately 0.975m^2

Answer: Molecular

EXPLANATION;form and evolutionary relationships.

Answer:

the distance between the 2 locations is 7.81 miles

Answer:

a sequence of numbers in which each differs from the preceding one by a constant quantity (e.g. 1, 2, 3, 4, etc.; 9, 7, 5, 3, etc.)

Answer: x= 4

Distribute the five, subtract fifty from both sides, divide both sides by five.

The real solution(s) of the equation (x + 10) 5 = 70 is -7.6.

A real solution is one that contains all the necessary constituent particles in the right ratio and has undergone the necessary dissolution. A solution is therefore referred to as a genuine solution. In algebra, a real solution is just an answer to an equation that is a real number.

There are two real solutions for x if the discriminant's value is positive, which means that the graph of the solution has two distinct x-intercepts.

There is only one actual solution for x if the discriminant's value is zero, which means that the solution's graph only has one x-intercept.

The given equation is (x + 10) 5 = 70

[tex](x + 10) 5 = 70 \\x + 10 = \sqrt[5]{70} \\x + 10 = 2.34\\x + 10 = -7.6[/tex]

Therefore, the real solution(s) of the equation (x + 10) 5 = 70 is -7.6.

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Answer:

camouflage

Explanation:

hope this helps

Answer:

C.

Explanation:

The element of an argument that acknowledges that the opposing position has some merit is a concession. The correct option is c.

Giving an argument entails offering a group of premises as justifications for believing the conclusion. It's not always necessary to criticize or insult someone when making an argument. Arguments can also be employed to back up the beliefs of others.

An example of an argument is as follows: You should put in a lot of effort if you want to find a decent career. The four main parts of an argument are the claim, the reason, the support, and the warrant.

Claims may be subject to dispute. Information is employed, but it is arranged in accordance with the five main parts of an argument: the claim, the justification, the supporting evidence, and the counterclaim.

Therefore, the correct option is c, concession.

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Bodies of water are represented in Dry Zen Gardens by sand or gravel that are racked to depict or give an appearance of water.

A Dry Zen Garden is a type of Japanese Garden built mainly to help with meditative practices.

It usually comprises:

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The joint probability distribution combines the probabilities of x and y

The probability that there is exactly one car and exactly one bus during a cycle is 0.020

The complete question requests that the probability that there is exactly one car and exactly one bus during a cycle be calculated.

This means that, we check the table where the values of x and y are 1.

i.e.:

P(x,y) = P(1,1)

From the complete table, we have:

P(x,y) = P(1,1) = 0.020

Hence, the probability that there is exactly one car and exactly one bus during a cycle is 0.020

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Answer:12

Explanation:

Answer:

The Biosphere

Explanation:

Answer:

D

Explanation:

Some Gey

The metaphor that could replace the literal sentence is "Simon’s year at school was a rollercoaster". Therefore, option D is correct.

A metaphor is a figure of speech in which a word or phrase is applied to an object or action to which it is not literally applicable. It is a comparison between two things that are not alike but share some common characteristic or quality.

A metaphor creates a mental image in the mind of the reader or listener by describing one thing in terms of another. For example, "life is a journey" is a common metaphor that describes the experience of living as if it were a journey through time and space, with its ups and downs, twists and turns, and unexpected detours.

Other examples of metaphors include "the world is a stage," "time is money," and "love is a rose." Metaphors are a powerful tool for writers and speakers, as they can convey complex ideas and emotions in a concise and memorable way. Hence, option D is correct.

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The punctuations used in the sentences help us identify the mood of the text and the pacing of the passage can be described as fast.

Punctuation pacing tells your reader whether to speed up or slow down whilst reading your content. It highlights the fact and provides clarity.

Many authors, however, fail to accurately punctuate their sentences correctly. These errors can have a significant impact on the readability as well as clarity of published contents.

In the given passage, the pace of the passage is described as being fast through the passage.

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Answer:

B is the correct answer ( Fast )

Explanation:

The cost of insulation is not justified because the current equivalent energy savings is $88,000, which is less than the price of insulation. Installation will set you back $90,000.

Insulation is defined as a material created to stop heat or sound from spreading from one place to another. Additionally helpful in lowering noise pollution is insulation. An energy-efficient home will use very little extra energy for heating and cooling.

Current equivalent energy is defined as the energy that an electron gains when its electrical potential rises by one volt. There are numerous ways that this action can occur, including thermal, electromagnetic, mechanical, and electrical. The principle of mass energy equivalence states that energy and mass have equivalent amounts.

Thus, the cost of insulation is not justified because the current equivalent energy savings is $88,000, which is less than the price of insulation. Installation will set you back $90,000.

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The integral expression [tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dA[/tex] is given as a polynomial function

The result of the integral [tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dA[/tex] is [tex]\frac{\pi}{140}(1 - \cos(1))[/tex]

The integral expression is given as:

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dA[/tex]

To transform the ellipse in the form [tex]a^2x^2 + b^2y^2 = 1[/tex], we make use of the following equation

[tex]u = ax[/tex] and [tex]v = by[/tex]

So, we have:

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy = \int\limits \int\limits^{}_R {\sin(u^2 + v^2)|J|} \, dudv[/tex]

Where:

[tex]u^2 = 49x^2[/tex] and [tex]v^2 = 25y^2[/tex]

This gives

[tex]u = 7x[/tex] and [tex]v = 5y[/tex]

And

[tex]J = \frac{x}{u} * \frac{y}{v}[/tex]

[tex]J = \frac{x}{7x} * \frac{y}{5y}[/tex]

Evaluate the product

[tex]J = \frac{1}{35}[/tex]

Substitute [tex]J = \frac{1}{35}[/tex] in [tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy = \int\limits \int\limits^{}_R {\sin(u^2 + v^2)|J|} \, dudv[/tex]

So, we have:

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy = \int\limits \int\limits^{}_R {\sin(u^2 + v^2)|\frac{1}{35}|} \, dudv[/tex]

This gives

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy = \int\limits \int\limits^{}_R {\sin(u^2 + v^2)\frac{1}{35}} \, dudv[/tex]

Factor out 1/35

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =\frac{1}{35} \int\limits \int\limits^{}_R {\sin(u^2 + v^2)} \, dudv[/tex]

The equation is in the first quadrant.

So, we have:

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =\frac{1}{35} \int\limits^{\pi/2}_0 \int\limits^{1}_0 {\sin(r^2)} \, rdrd\theta[/tex]

Integrate

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =\frac{1}{35} * [\theta]|\limits^{\pi/2}_0 * [-\frac 12\cos(r^2)]|\limits^{1}_0[/tex]

Evaluate the product

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{1}{70} * [\theta]|\limits^{\pi/2}_0 * [\cos(r^2)]|\limits^{1}_0[/tex]

Expand

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{1}{70} * [\frac{\pi}{2} - 0] * [\cos(1) - \cos(0)][/tex]

Evaluate the difference

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{1}{70} * [\frac{\pi}{2} ] * [\cos(1) - \cos(0)][/tex]

Evaluate cos(0)

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{1}{70} * [\frac{\pi}{2} ] * [\cos(1) -1][/tex]

Evaluate the product

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =-\frac{\pi}{140}(\cos(1) -1)[/tex]

This gives

[tex]\int\limits \int\limits^{}_R {\sin(49x^2 + 25y^2)} \, dxdy =\frac{\pi}{140}(1 - \cos(1))[/tex]

Hence, when the integral is evaluated, the result is [tex]\frac{\pi}{140}(1 - \cos(1))[/tex]

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