The explicit rule for this geometric sequence 29,23,2,6, is n = 29 × (29/23)^(n - 1)
How to write explicit ruleStep 1: First term, a = 29
Second term, a×r = 23
23 = 29 × r
23 = 29r
r = 29/23
Step 2: Common ratio, r = 29/23
The explicit formula is given by
nth term = ar^(n - 1)
n = 29 × (29/23)^(n - 1)
Where,
nth term = number of terms
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Excited to travel after the lockdown, pedro took a road trip along edsa. He is traveling 18. 0m/???? when he notices a red light ahead. His car is capable of a braking acceleration of 3. 65m/????2. Due to slow reaction, it takes him 0. 200 s to get the brakes on and he is 45. 0 m from the intersection when he sees the light. Will he be able to stop in time?.
We have that the distance traveled with breaks on is is mathematically given as
dt=44.38m
Distance travelled on breaksQuestion Parameters:
. He is traveling 18. 0m/s
His car is capable of a braking acceleration of 3. 65m/s^2
it takes him 0. 200 s to get the brakes on and he is 45. 0 m from the intersection when he sees the light. Will he be able to stop in time
Generally the equation for the Distance traveled is mathematically given as
d=v*t
Therefore
d=v*t
d=18*0.2
d=3.6m
Therefore
[tex]dt=\frac{V^2}{2a}\\\\dt=\frac{18^2}{2*3.65}[/tex]
dt=44.38
Hence, the distance traveled with breaks on is
dt=44.38m
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Assuming ideal solution behavior, how many liters of hcl gas, measured at 30. 0 °c and 745 torr, are required to prepare 1. 25 l of a 3. 20-m solution of hydrochloric acid?.
The volume of HCl gas required to prepare the solution is 101.54 L
How to determine the mole of HCl Volume of solution = 1.25 LMolarity = 3.20 MMole of HCl =?Mole = Molarity x Volume
Mole of HCl = 3.2 × 1.25
Mole of HCl = 4 moles
How to determine the volume of HCl Number of mole (n) = 4 moles Temperature (T) = 30 °C = 30 + 273 = 303 KPressure (P) = 745 torr = 745 / 760 = 0.98 atmGas constant (R) = 0.0821 atm.L/Kmol Volume =?Using the ideal gas equation, the volume of the HCl gas can be obtained as follow:
PV = nRT
Divide both side by P
V = nRT / P
V = (4 × 0.0821 × 303) / 0.98
V = 101.54 L
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Based on the relationships in circles a and b, which relationship is true for circle c?.
It should be noted that when there are two secant segments that intersect each other in a circle, the product of a segment is equal to that of the other segment.
What is a segment?Your information is incomplete. Therefore, an overview of the relationship in a circle will be given. A segment is the set of points that has two end points.
There are two segments that can cross your circle which are the secant segment and the tangent segment.
Another relationship is that according to intersecting chord theorem, when two chords intersect inside a circle, the length of ab will be equal to cd.
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Whenever there is a north-south ocean current or a south-north ocean current there is a possible large ____________ difference between the ocean and the land.
It should be noted that in a case of north-south ocean current or a south-north ocean current there is a possible large temperature difference between the ocean and the land.
What is Ocean currents ?Ocean currents can be regarded as the continuous as well as predictable movement of seawater which do take place due to gravity and wind
This is called Coriolis Effect, and water density, however temperature difference, between the ocean and the land play a role in north-south ocean current.
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Decide if each key moment was shown using dialogue or narration. "look, paul," said hammond. "i'll have a talk with mitchell, but i'm not going to go beating up on him for you. Understood?" as fast as my legs would take me, i crossed the meadow, but there was no catching them. Ghost wind and mitchell were gone, hidden by the deep green of the forest. My mama set a lone plate for me on the sideboard in the kitchen. That was truly the first time i felt unwanted in my daddy's family. "well, you didn't tell that man from alabama anything about you being my daddy, just that i was 'your boy'! figure that says more than anything else! now, i want to ride that stallion!".
These are the sentences and whether they are dialogues or narrations:
Dialogue: "look, paul," said hammond. "i'll have a talk with mitchell, but i'm not going to go beating up on him for you. Understood?"Narration: as fast as my legs would take me, i crossed the meadow, but there was no catching them. Ghost wind and mitchell were gone, hidden by the deep green of the forest.Narration: My mama set a lone plate for me on the sideboard in the kitchen. That was truly the first time i felt unwanted in my daddy's family.Dialogue: "well, you didn't tell that man from alabama anything about you being my daddy, just that i was 'your boy'! figure that says more than anything else! now, i want to ride that stallion!".What is the difference between dialogue and narrative?The dialogue is part of the narrative but it happens when two or more characters speak to eachother, it is a conversation.
Narrative is everything that happens in a narration, a story or a text, and that is why dialogue is part of the narrative.
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Answer:1. Dialogue
2. Narration
3. Narration
4. Dialogue
Explanation:
Why did the economies of the former east german areas collapse during reunification?.
Answer:
because they are not building well from stating point until the end
Referring to figure 1, explain the process illustrated between step 1 and step 2.
The process illustrated is the elongation of an amino acid chain.
What does the figure illustrate?Step 1. This figure shows the process of synthesis of an amino acid change, which occurs in the ribosome. In this, you can observe two transfer RNA attached to one aminoacid chain represented by the letters.Step 2. This figure shows the two aminoacid chains that have joined to create one unique amino acid chain, due to this, one of the transfer RNA is now free.How does this occur?This is possible due to translation elongation. In this process, amino acids are bound together by pairing up two transfer RNA. Moreover, this requires an elongation factor that makes it possible to add aminoacids to a chain and therefore make the chain longer.
Note: This question is incomplete because the figure is not provided. Below, I attached the figure.
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Point E is a point on line segment PR between P and R. The length of segment PE is 12 cm and the length of segment PR is 20 centimeters. If point A is the midpoint of segment PE, what is the length of segment AR?
Which of the following describes an environmental problem that can result from the combustion of fossil fuels to generate electricity?.
An environmental problem that may result from the combustion of fossil fuels when used to generate electricity is that: it can lead to global climate change when released into the atmosphere.
What is a fossil fuel?A fossil fuel can be defined as a form of non-renewable energy that are typically made up of hydrocarbons (carbon and hydrogen) and are formed within Earth's crust, especially from the remains of dead plants and animals i.e decomposing plants and animals.
Generally, the combustion of fossil fuels can be used to generate electricity. However, an n environmental problem that may result from the combustion of fossil fuels when used to generate electricity is that it can lead to global climate change when released into the atmosphere because carbon dioxide is a by-product that is derived from the combustion fossil fuels.
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A cylinder has a height of 21 cm and a volume of 11,144 cm³. What is the radius of the cylinder? round your answer to the nearest whole number.
Answer:
13 cm
Explanation:
h = 21 cm, V = 11,144 cm^3
V = π r^2 h
so
[tex]r=\sqrt{\frac{V}{\pi h}}=\sqrt{\frac{11,144}{\pi\times21}}=13 cm[/tex]
As lily is completing her 1040 form, what piece of information will she find on a different document rather than on this w-2?.
The piece of information will she find on a different document rather than
on this w-2 is her tax return filed.
What is W-2 form?
This form is usually sent to employees by their respective employers and
contains wages and withholdings figures.
This is usually to ensure taxes are filed properly to the government. The
information which can be found on a different document when filling it is
the tax return filed.
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Each of the following are types of technological impacts related to internal control:.
Answer: separation of duties, new evidence of processing, reduced processing errors, more intensive testing of records
Explanation:
Montague: but i can give thee more; for i will raise her statue in pure gold; that while verona by that name is known. There shall no figure at such rate be set as that of true and faithful juliet. Capulet: as rich shall romeo by his lady lie; poor sacrifices of our enmity! —romeo and juliet, william shakespeare what cause for the catastrophe is finally realized by capulet? which detail supports the cause?.
Answer:
Feuding between families
"Poor Sacrifices our enmity!"
Explanation:
Just finished assignment, got 100%
Answer:
feuding between families
poor sacrifices our enmity
Explanation:
Print the two-dimensional list mult_table by row and column. On each line, each character is separated by a space. Hint: use nested loops.
The program is an illustration of a two-dimensional list
What are two-dimensional listsThese are lists that have rows and columns, i.e. they are two dimensions
The actual programThe program written in Python, where comments are used to explain each line is as follows:
#This defines the list
mult_table = [[1, 2, 3],[2, 4, 6],[3, 6, 9]]
#This iterates through the rows in the list
for row in mult_table:
#This prints the elements by row
print(" ".join([str(cell) for cell in row]))
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Select the statements that would allow you to conclude that the relationship between a response variable y and an explanatory variable x is linear.
Here are the statements that would allow you to conclude that the relationship between a response variable y and an explanatory variable x is linear:
- The graph of y versus x shows the points lying approximately along a straight line.
- The correlation coefficient r between x and y is close to +1 or -1.
- The regression equation relating y to x is of the form y = bx + a, where b and a are constants.
- The residuals (differences between observed and predicted values of y) show no systematic pattern when plotted against x.
- An F-test or t-test on the regression model gives a statistically significant result for the coefficient of x.
- Adding higher order terms of x (like x^2, x^3 etc) to the regression equation does not significantly improve the model fit.
- There are no statistical interactions detected between x and other explanatory variables when modeling y.
In summary, signs of a linear relationship include a straight line pattern in the data plot, a high correlation coefficient, a significant linear regression model, random residuals, and lack of improvement by adding nonlinear terms or interactions. These indicators would allow you to conclude that the relationship between y and x is best described by a linear model.
While the human immune system is generally effective at fighting bacterial infections, sometimes the infection overpowers the body’s defenses. In that case, the administration of an antibiotic may be necessary. How does an antibiotic work with the immune system?.
Answer:
the antibiotic also fight the disease that affect the immune system by producing antitoxins that works with the leucocytes to protect the immune system
Just tell me (& send a screenshot too if you can) how many followers the first person who I'm following has.
user = blackshades
The friends list is the followers otherwise it would be unaccepted friend requests.
For each of the following elements, predict where the "jump" occurs for successive ionization energies (ie).
There are different kinds of theories. The the "jump" occurs for successive ionization energies between the second and third ionization energies.
What leads to the jump in successive ionization energies?This often takes place when electrons are said to be removed in succession from a specific element.
This transition from the removal of valence electrons to the removal of core electrons leads to a large jump in ionization energy.
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Dogs have the ability to hear sounds up to 40,000 hz. If the speed of sound is 340 m/s, what is the most extreme wavelength dogs can detect?.
The most extreme wavelength dogs can detect sound is 0.0085 m.
What is wavelength?The is the distance of one complete cycle of a wave.
To calculate the most extreme wavelength dogs can detect sound, we use the formula below.
Formula:
v = λf................... Equation 1Where:
v = Speed of soundf = Frequency of soundλ = most extreme wavelength .make λ the subject of the equation
λ = v/f................ Equation 2From the question,
Given:
v = 340 m/sf = 40000 HzSubstitute the given values into equation 2
λ = 340/40000λ = 0.0085 m.Hence, The most extreme wavelength dogs can detect sound is 0.0085 m.
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Imagine you are a systematist who has discovered an unfamiliar animal. Which of the following observations about the animal will best help you find its taxonomic classification?(1 point).
An observation about this animal that will help you to find its taxonomic classification is if: the animal has sharp, pointed teeth.
What is taxonomy?Taxonomy can be defined as a scientific method or technique that is typically used for naming, classification and description of the various species of organisms such as animals, humans, and plants.
The characteristics of taxonomic classification.Basically, organisms that share several classification levels would have common characteristics such as:
Type of teeth.Number of legs.Number of eyes.Tail type.In conclusion, an observation about this unfamiliar animal that will help you to find its taxonomic classification is if the animal has sharp, pointed teeth.
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Calculate the cost of preferred stock for ohio valley power company, which is planning to sell p100 million of p3. 25 cumulative preferred stock to the public at a price of p25 per share. Flotation costs are p1. 00 per share. Ohio valley has a marginal income tax rate of 40%.
The cost of preferred stock for Ohio valley power company is 13.54%
What is cost of preferred stock?The cost of preferred stock refers to the opportunity cost foregone by Ohio valley power company, due to having investment through the usage of its preferred capital.
Cost of preferred stock:
= Cumulative preferred stock ÷ (Price per share - flotation cost)
= 3.25 ÷ (25-1)
= 13.54%
Hence, the cost of preferred stock for Ohio valley power company should be 13.54%
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Out of five men and five women, we form a committee consisting of four different people. Assuming that each committee of size four is equally likely, find the probabilities of the following events:.
The probabilities of the following events are 10/21, 11/42,41/42, and 2/15 respectively
How to find probabilitiesProbability of forming a committee consisting of two men and two women = (5C2 × 5C2) / 10C4
5C2 = 5! / 2!(5 - 2)!
= 5! / 2!3!
= 5×4× / 2×1
= 20/2
= 10
So,
(5C2 × 5C2) / 10C4
= 10×10 / 210
= 100/210
= 10/21
Probability of forming a committee consisting of two men and two women = 10/21
Probability of forming a committee that has more women than men. This means forming a committee that has 4 women, 0 men or 3 women 1 man
= {(5C3 × 5C1) + (5C4 × 5C0)} / 10C4
= {(10×5) + (5×1)} / 210
= (50 + 5) / 210
= 55/210
= 11/42
Probability of forming a committee that has at least one man. This means the committee must not have all women as members
= 1 - 5C4/10C4
= 1 - 5/210
= 1 - 1/42
= 41/42
Probability of forming a committee with both Alice and Bob are members of the committee. This means there are only two more people to join the committee from the remaining 8 people.
= 8C2 / 10C4
= 28/210
= 2/15
The complete question:
1. The committee consists of two men and two women.
2. The committee has more women than men.
3. The committee has at least one man. For the remainder of the problem, assume that Alice and Bob are among the ten people being considered.
4. Both Alice and Bob are members of the committee.Shouldn't it be like a coin toss but with more than just heads and tails?
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When akbar’s son was four years old, akbar put $250 into an account that guaranteed a 10% annual return. The equation mc029-1. Jpg represents the amount of money in the account when the child will be x years old. Which graph models the scenario?.
The functin that represents the given situation is P(x) = 250e^1.1x
Exponential graphs and equationGiven the following parameters from the questions
Principal = $250
Rate = 10%
Time = x
The standard exponential function is given as:
P(t) = P0e^rt
Substitute the given parameters to have:
P(x) = 250e^(1+0.10)x
P(x) = 250e^1.1x
Plotting graph of the resulting function will give:
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Answer:
the answer is C, the graph with the straight line.
A pure sample of gold has a volume of 25. 0 cm3 and a mass of 483 g. What is the density of gold?.
Answer:
19.3 g/cm^3
Explanation:
V = 25.0 cm^3
m = 483 g
density = m/V = 483/25.0 = 19.3 g/cm^3
Britain's approach to interacting with other european countries during queen victoria's reign was called "splendid isolation" by politicians of that era. What was meant by this phrase?.
Britain stayed out of any territory disputes between other European nations.
Explanation:
Solve the inequality x - 3 ≥ 1. Which number line represents the solution?.
Answer:
x ≥ 4
Explanation:
Given the following question:
x - 3 ≥ 1
In order to find the answer, we solve this like a normal one-step equation by adding three on both sides.
x - 3 ≥ 1
+ 3
-3 + 3 = 0
1 + 3 = 4
x ≥ 4
The number should look something like this...
Hope this helps.
Which of the following explain the trend in atomic radii size down a group?.
Express $8\sqrt{18}$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.
8 √18 = 8 √(9 × 2)
= 8 √(3² × 2)
= 8 √(3²) √2
= (8 × 3) √2
= 24 √2
Answer:
24 √2
Explanation:
The largest square factor under the radical is $9$. This gives us the factorization $\sqrt{18} = \sqrt 9 \cdot \sqrt 2$. Thus
\begin{align*}
8\sqrt{18} &= 8(\sqrt 9\cdot \sqrt 2) \\
&= 8\cdot 3\sqrt 2 \\
&= \boxed{24\sqrt 2}.
\end{align*}
Nuclear pores regulate the passage of substances into and out of the nucleus. Antibodies such as mab414 have been used to inhibit the movement of substances through the nuclear pores of rat liver cells. Scientists cultured rat liver cells (eukaryotic) and bacteria cells (prokaryotic) in separate dishes with radioactively labeled amino acids. A specific gene in both cell types was engineered to synthesize identical polypeptide chains, and translation of this gene was measured. The procedure was repeated with mab414 (the inhibitor) added to each of the two cell cultures, and translation was monitored again.
The graphs that best summarizes the results of the given experiments are; Found in the attached file
What is the aim of an experiment?The aim of the given experiment is to explain the translation in the prokaryotes and eukaryotes. In biology, translation in this case is defined as the production of protein from mRNA by translating a sequence of mRNA molecule to a sequence of amino acids.
Now, In eukaryotes, translation occurs in the cytoplasm and as a result, mRNA in the nucleus is transported to the cytoplasm. However, in prokaryotes, the cytoplasm acts as the nucleus which means that there is no need for the transportation of mRNA via Nuclear pores to the nucleus.
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At the end of 10 years, which of the following investments would have the highest future value? assume that the effective annual rate for all investments is the same and is greater than zero.
The investment which would have the highest future value is; Choice B; Investment A pays $250 at the beginning of every year for the next 10 years (a total of 10 payments).
The correct question has options given as;
a. Investment E pays $250 at the end of every year for the next 10 years (a total of 10 payments).b. Investment A pays $250 at the beginning of every year for the next 10 years (a total of 10 payments).c. Investment B pays $125 at the end of every 6-month period for the next 10 years (a total of 20 payments).d. Investment D pays $2,500 at the end of 10 years (just one payment).e. Investment C pays $125 at the beginning of every 6-month period for the next 10 years (a total of 20 payments).Compound interest SituationsChoice B. in which case, Investment A pays $250 at the beginning of every year for the next 10 years (a total of 10 payments).
This investment is of higher future value because the sum is received initially and it hence, gets one more compounding period than the same sum received at the end of the year as in Choice A. Additionally, this investment is of more future value than Choice C. that pays a sum after 6 months and loses out on compounding for first six months. It is also greater than Choice D. that pays a cumbersome amount of $2500 with no compounding, as well as Choice E. that pays a sum which is half of $250 at the beginning of the period.Read more on compound interest;
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