The trigonometric functions are known to be sine, cosine, tangent, cotangent, secant and cosecant.
What are Trigonometric functions?The term trigonometric functions are known to be a kind of real functions that helps to link an angle of a right-angled triangle to other ratios of two side lengths of that angle.
Note that they are often used in the field of sciences that are associated with geometry, such as the area of navigation, solid mechanics and also in the physics field.
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A rod is laid out along the x-axis with one end at the origin and the other end at x = l. the linear density is given by the following: rho(x) = rho0+(rho1-rho0)(x/l)2, where rho0 and rho1 are constant values.
The center of mass of the rod of length L whose mass density changes from one end to the other quadratically is; X_cm = ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)
What is the center of mass?The formula for the center of mass of a body is defined as;
X_cm = (1/M) ∫r.dm
Where;
X_cm is the position of the center of mass
M is the total mass of the body
r is the position with respect to an origin
The density of a body is the relationship between two of its magnitudes that change constantly and so we have;
ρ = m/x
Applying small changes and we have;
ρ = dm / dx
dm = ρ*dx
We are given the expression;
ρ₀ = ρ₀ + (ρ₁ -ρ₀) (x/L)²
Thus;
dm = (ρ₀ + (ρ₁ -ρ₀) (x/L)²)dx
Since the whole system is on the x-axis, we integrate from the initial point x = 0 to the upper limit X = L. This gives;
X_cm = M⁻¹ ∫ x [ρ₀ + ( ρ₁-ρ₀) (x/L)²] dx
X_cm = M⁻¹ [∫ ρ₀ x dx + I (ρ₁-ρ₀) / L² x³ dx]
X_cm = M⁻¹ [ρ₀ x²/ + (ρ₁ -ρ₀) / L² x⁴/4]
X_cm = M⁻¹ [ρ₀/2 (L2-0) + (ρ₀₁ -ρ₀) /4L² (L⁴-0)
X_cm = M⁻¹ [ρ₀ L²/2 + (ρ₁ -ρ₀)/4 L²]
X_cm = M⁻¹ L² [ρ₀/4 + ρ₁/4]
X_cm = M⁻¹ L²/4 ( ρ₀ +ρ₁)
The only parameter that we don't know explicitly is the total mass, but we can look for their relationship using the concept of density.
M = ∫dm = ∫ρ.dx
M = ∫[ρ₀ + (ρ₁ -ρ₀)/L²x²] dx
We integrate between the limits of integration x = 0 and x = L to get;
M = ρ₀ x + (ρ₁ -ρ₀)/L² *x³/3
M = ρ₀ L + (ρ₁ -ρ₀)/3L² L³
M = ρ₀ L + (ρ₁-ρ₀)/3 L
M = L(ρ₀ + ρ₁/3 -ρ₀/3)
M = L(2/3 ρ₀ + ρ₁/3)
M = ¹/₃L(2ρ₀ + ρ₁)
We will replace and simplify in the center of mass equation to get;
X_cm = ¹/₄L²[ρ₀ + ρ₁] / [L/3 (2ρ₀ + ρ₀)/L]
X_cm = ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)
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How does this complication contribute to the central conflict of the play? when romeo kills tybalt, he increases the friction with juliet’s family. when romeo kills tybalt, he impresses friends with his bravery. when romeo avenges mercutio’s death, the prince is grateful. when romeo avenges mercutio’s death, romeo is injured.
In the excerpt, the complication contribute to the conflict as at when Romeo kills Tybalt, he increases the friction with Juliet’s family.
What's a central conflict?A Central conflict that is found in a play or a novel is known to be when the main character's strong zeal or desire is said to be in form of clashes with an internal or external obstacle.
Note that in the start of most stories, a powerful alteration can bring about the main conflict for your protagonist as in the case of Juliet's family.
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Answer: A) When Romeo kills Tybalt, he increases the friction with Juliet’s family.
Explanation:
Edge 2023
In paragraphs 19 and 20 of this story, the man reflects back on his own father cooking for him, and he recalls one incident in particular that he feels bad about. Write a story about this incident, told in first person by the man’s father. Use details from the paragraphs, and add elaboration of your own to show the father’s feelings about what happened and how he reacted to it
People often write story about different incident. The story is given below.
The incident?The incident is a story that revolve around our character which I named Olu. He was an man who loved to make food for his son. His feel is immersed in all his love but Chide his son did not reciprocate his love.
The father was said about his child who did not look at the meal he has prepared for him. He was sick and dying and that was the only thing he could do for him. He knows he loves his son and his son loves him too, but this character of his displeased him but still he accepted and move on.
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A jar contains five black balls and seven white balls. two balls are drawn sequentially, but the first ball is replaced before the second drawn. the probability of drawing two white balls, given that at least one of the balls is white, is 7/17.
The probability both balls are black, given that the first one is black, is gotten as; ⁵/₁₂
What is the probability of Selection?
By using the probability of an event formula,
There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂
Since the balls are drawn with replacement, the two draws are independent events.
Use Multiplication and Union Rules to obtain the following probability:
P(F) = P(B, B) + P(B, W)
P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)
P(F) = ⁵/₁₂
Thus, the probability both balls are black, given that the first one is black, is ⁵/₁₂
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What type of reaction present on this equation 2mgl + mn(so) → 2mgso + mnl
The type of reaction present in the equation(2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄) is a double displacement reaction.
Balanced chemical reaction2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄
The reactant of the reaction is on the left side while the product of the reaction is on the right side.
Double displacement (Metathesis)Double displacement is a kind of reaction in which the two reacting compounds exchange their radicals or ions to form two new compounds. The anions and cations of the two different molecules switch places to form a new compound.
The reaction type is a double displacement reaction because the cations (mg and mn) and anions(so₃²⁻ and l⁻) switch positions.
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Your email campaign has an open-rate of 9. 6%, and you emailed 25,000 people. How many people opened your email?
The number of people that opened the email sent by the campaign is 2,400.
Given the data in the question;
Open rate; [tex]r = 9.6[/tex]% [tex]= \frac{9.6}{100}[/tex]Number of emails sent; [tex]n = 25,000[/tex]Number of people that opened the email; [tex]e_o = \ ?[/tex]Rate and PercentageRate is simply the ratio of a measure or frequency against another measure in different unit.
Percentage is a ratio expresses as a fraction of hundred.
Now, to determine the number of people that opened the email, we multiply the open-rate by the number of mail sent.
[tex]e_o = r * n\\\\e_o = \frac{9.6}{100} * 25000\\\\e_0 = 2400[/tex]
Therefore, the number of people that opened the email sent by the campaign is 2,400.
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Alicia accidentally hit the bumper of her car by driving into a tree. she has a car insurance policy with $1000 deductible. the total damage to the car is $500. how much will the car insurance company pay in this scenario?
Answer:
nothing.
Explanation:
trust me
Suppose that the rabbit population on mr. jenkins' farm follows the formula
Jenkins' farm tracks the procedure p(t)=3000tt+1. where t≥0 is the period (in months) since the start of the year.
As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.
We have,
Given formula: p(t) = 300t / (t + 1)
As time (t) increases, the denominator (t + 1) also increases.
The rabbit population (p(t)) is calculated by dividing 300t by (t + 1).
Now, let's examine the behaviour as t becomes larger:
When t is very small (close to 0), the population p(t) is also small, since the denominator (t + 1) is close to 1.
As t increases, the denominator (t + 1) grows, causing the value of p(t) to increase.
However, the rate of increase slows down as t gets larger.
This is because the denominator grows faster than the numerator (300t).
Eventually, as t becomes very large, the value of p(t) approaches but never quite reaches a maximum value.
This behaviour is characteristic of a rational function where the numerator's growth is outpaced by the denominator's growth, resulting in an asymptotic approach to a certain value.
Thus,
As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.
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The complete question:
Population Growth Suppose that the rabbit population on Mr. Jenkins’ farm follows the formula p(t) = 300t / (t + 1)
where t ≥ 0 is the time in months since the beginning of the year.
(a) Draw a graph of the rabbit population.
(b) What eventually happens to the rabbit populations.
Envision algebra 2 answer key pdf additional practice
Transforming the function f(x) involves changing its position
The function f(x) is translated 4 units up to create the function g(x)
How to translate the function?
From the complete question (see attachment), we have:
f(x) = |x|
g(x) = f(x) + 4 = |x| + 4
The above means that:
The function f(x) is translated 4 units up to create the function g(x)
Also, the transformation ensures that the domain of both functions are the same, however the range of function g(x) is g(x) >= 4
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Fluency and skills practice lesson 28 finding volume answer key
An example of Fluency and skills practice questions is "What does being fluent with a math skill mean to you?
What is Fluency?This is a term that connote is one's capability to be able to read with ease and fast, been accurate and having the right diction.
The question of what being fluent with a math skill mean to you is that it mean a lot to me as if I am fluent in math, I can be able to answer any difficult questions in math and then apply those skills in problem solving in real life.
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Mathematics iii common core volume 2 volume 2 solutions
An example of Mathematics III common core volume 2 question and solution is given in the case of the subtopic algebra and geometry. An example is 1/2 (x + 42) - 60.
What is Mathematics III Common Core?This is a textbook that is written by Randall I. Charles. It has Volume and 2. The textbook acts as Teacher's Guide in teaching mathematical related functions.
The solution to the question above is given below:
1/2 (x + 42) - 60
You then multiply both sides by 2
x + 42 - 60 * 2
x + 42 - 120
x - 42
Therefore, the answer is x - 82.
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Read the following sentence.
Pliny once wrote that Phoenician sailors who cooked on blocks of natron (soda) on a beach discovered glass accidentally.
Is the underlined phrase essential (restrictive) or nonessential (nonrestrictive)? Explain your reasoning
Answer:
The underlined phrase is essential. It isn't just any group of Phoenician sailors who discovered glass, nor is it that Phoenician sailors in general discovered it; the sentence refers to a particular group of sailors that used blocks of natron to cook on the beach.
Explanation:
source…Quizlet
I hope this helps
Have an AMAZING day. :)
The number v of computers infected by a computer virus
The number of hours that the computers will be infected by a computer virus is one hour.
How can computers be infected by viruses?Viruses are known to be some forms of computer worms or trojans that can be spread through a system in a lot of ways.
Its spread can be through networks, discs, email attachments etc. It is one that gives others access to your computer.
The number v of computers infected by a computer virus is given by V(t) = 100e^(4.666t)
So therefore, t is the time in hours.
After 1 hour the number of computer infected v(t=1) = 100*e^(4.666*1)
=100*e^4.666
=100*106.271804
=10627.1804
~10627
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label each phase of the action potential as identified by the highlighted region of each graph.
The label of each phase of the action potential as identified by the highlighted region of each graph is given in the image attached.
What is depolarization?The term Depolarization is known to be a form of movement where the cell's membrane is said to have the likelihood to have a more positive value.
Conclusively, The term repolarization is known to be the alterations or a change that often takes place in membrane that are said to have the potential, to be able to return to a negative value.
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advantages and disadvantages of status conferred as a result of mass communication
Answer:
Advantages
Education: Media educates the mass. With the help of television or radio shows, the mob discovers various facts about health affairs, environmental preservation, and many more topics of relevance.
Updated: People receive the latest news in a short time. Distance does not make a barrier in distributing information to people from any place on earth. People get daily news updates from media outlets, which keeps them updated on the current trends and happenings worldwide.
Exercise innate potentialities: People get to exercise their hidden talents through media. Media helps to showcase their hidden skills such as comedy, performing, singing, recitation, etc.
Gather knowledge: Media helps to increase knowledge about various subjects.
Mass production: Media acts as a great tool in promoting mass consumer products, increasing sales of the assets.
Diadvantages
Individualism: People spend an excessive amount of time on the internet, watching or binging content. As a result, their relationship with friends or family and neighbors may be affected.
Difficulty to Access: Some media topics are unsuitable for children; limiting access to such content can be challenging for elders in specific scenarios.
Fraudulence and Cybercrime: The Internet opens up avenues for imposters, criminals, and hackers, or such predators with the possibility to commit criminal acts without any knowledge of the victims.
Addiction: Some television programs and internet media can be very addictive to most children and adults, leading to a drop in productivity.
Health Concerns: Prolonged television watching or internet binging can lead to vision problems, and exposure to loud noises by using headphones or earphones can lead to hearing defects.
Faulty advertisement tactics: It often makes the use of drugs and alcohol appear cool, which can be harmful to the nations’ youth.
Personal Injury: Some people decide to try the stunts that have been showcased in the media, which lead to severe injuries.
what number do u see
Answer:
4628 or 4528
Explanation:
I wear glasses
Find the amount applied to principle for the third month of a 4-year loan of $ which charges percent compounded monthly with monthly payments.
The amount applied to the principal for the third month of a 4-year loan of $50,000 at an interest rate of 10% per year with monthly payments is $865.71.
What is the amount of payment applied to the principal?The amount of the payment applied to the principal in any payment period is the total payment less the interest amount for the payment period.
For example, in this case, the periodic payment is $1,268.13. However, the interest amount for the month is $402.42 ($48,289.98 x 10% x 1/12).
The amount of the payment applied to the principal is $865.71 ($1,268.13 - $402.42).
This can be computed using an online finance calculator that calculates the periodic payment and prepares a monthly payment schedule as below.
Data and Calculations:N (# of periods) = 48 (4 x 12)
I/Y (Interest per year) = 10%
PV (Present Value) = $50,000
FV (Future Value) = $0
Results:
PMT = $1,268.13
Sum of all periodic payments = $60,870.20
Total Interest = $10,870.20
Monthly Schedule
Period PV PMT Interest Principal FV
1 $50,000.00 $1,268.13 $416.67 $851.46 $49,148.54
2 $49,148.54 $1,268.13 $409.57 $858.56 48,289.98
3 $48,289.98 $1,268.13 $402.42 $865.71 $47,424.27
Thus, the amount of the payment applied to the principal is $865.71.
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Select the correct answers from the drop-down menus. Read the excerpt. Then choose the correct way to complete each sentence. Wilson sees as the key to achieving peace. A quotation that supports this conclusion is
A quotation that supports Wilson's conclusion about achieving peace is;
He laid out a vision for a just and peaceful world, a future that included free seas, an international agreement to avoid arms races,
What is the best way to complete the sentence?President Wilson gave a 14 points speech that was a proposal calling for the victorious Allies to set unselfish peace terms with the vanquished Central Powers of World War I, including freedom of the seas.
The peace speech also included the restoration of territories conquered during the war and the right to national self-determination in such contentious regions as the Balkans.
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Answer:
fist one is public agreements between... and second one is processes of peace... just took test on plato!!!
Explanation:
Go math grade 8 practice and skills fluency workbook answer key
Answer:
the answer should be on a quizlet that i found
Explanation:
Go Math Middle School Grade 8, Practice Fluency Workbook
1st Edition
HOUGHTON MIFFLIN HARCOURT
here is the edition you need
hope this helps
rate brainliest
9-4 skills practice solving quadratic equations by factoring
The expression x^2 + 6x + c is a quadratic expression, and the value of c that makes the trinomial a perfect square is 9
How to find the value of c that makes the trinomial a perfect square?The expression is given as:
x^2 + 6x + c
Take the coefficient of 6
k = 6
Divide by 2
k/2 = 3
Take the square of both sides
(k/2)^2 = 9
The value of c is:
c = (k/2)^2 = 9
So, we have:
c = 9
Hence, the value of c that makes the trinomial a perfect square is 9
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Alice says she can find the area of the room by dividing
I found the complete problem.
If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5
A = 11.25 * 5
A = 56.25 sq. ft
Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5
A = 56.25 sq. ft
Total area = 56.25 + 56.25 = 112.50 sq. ft.
The cj bacteria in the chickens at monita farms have a high frequency of the allele that causes fq resistance. If genetic drift was the cause, would this allele also be in bacteria at the original farm?
If the process of genetic drift was the cause of this phenomenon, then the resistance allele was also present in the original farm.
What is genetic drift?Genetic drift is a genetic phenomenon that occurs when one allele is fixed in a population due to random chance.
Genetic drift is converse to natural selection, where an allele increases this frequency due to evolutionary constraints.
Genetic drift is well known to be the cause of allele fixation by founder population effects.
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Which human activity would preserve non renewable resources
Answer:
conserving and limiting
Explanation:
Hope this Helps!
-Justin
Find the surface area of the square pyramid. a) 80 in2 b) 105 in2 c) 160 in2 d) 210 in2
Answer:
B) 105 is the right answer :D
Explanation:
I took the quiz for it!
The term “Kiwi” as a nickname for New Zealanders comes from __________.
a. the Maori term for “non-Maori,” or person of European descent
b. the Maori term for “native” or “first”
c. the flightless bird native to the country
d. the Chinese gooseberry, called kiwifruit in New Zealand
Answer: C “The flightless bird native to the country”
Explanation:
None of the other answers make sense and I also took the quiz and got this question right.
How were you able to break down the plot of the story
A triangle has side lengths of 34 in 28 in and 42 in
Answer:
quizlet/494283439
Explanation:
I used this for my test not sure if im too late or not but here it for future students
Also the quizlet is wrong on a few questions (im not sure if its like this for everyone but it was like this for me):
6. B.292.3 meters
7. B.154 ft
8. D.912 meters
9. A.307 feet
Again these were the correct answers for me not sure if its the same for everyone they might have changed it.
(Also, I'm not sure about 11-15 bc my teacher said i didnt have to do those ones) Hope this helps :))
copper atoms and zinc atoms have the same atomic radius, 135 picometers. based on this information, which of the following diagrams best represents an alloy containing only copper and zinc atoms?
Since copper and zinc atoms have the same atomic radius, an alloy of copper and Zinc will have the structure shown in option B.
What is an alloy?An alloy is a combination of two or more metals Alloys are known to have better tensile strength and higher resistence to corrosion.
We are told that both copper atoms and zinc atoms have the same atomic radius, 135 picometers. It then follows that an alloy of copper and Zinc will have the structure shown in option B.
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visibility is restricted due to fog. what should the vessel operator do to avoid the risk of a collision?
Answer:
Unless a risk of collision does not exist, an operator who hears the fog signal of another vessel ahead, is in a close-quarters situation with another vessel ahead, or detects the presence of another vessel by radar must reduce speed to the minimum at which the vessel can be kept on course.
According to rational-emotive behavior therapists, the source of much unhappiness is the individual’s
Rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.
What is the rational-emotive-behavioral approach?It is an approach that considers that behavioral and emotional problems could have their genesis from three sources: thought, emotional and behavioral.
This affirmed that people are largely responsible for their disturbed feelings, therefore, those same people have all the resources to be able to modify their thoughts and bring lasting and stable states to their lives.
Therefore, we can conclude that rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.
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