Taking into account the definition of permutation, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
What is permutationPermutations refer to the action of arranging all the members of a set in some kind of order or sequence. This means that if a set is already ordered, the process of rearranging its elements is called permutation.
In other words, permutations of m elements in n positions are the different ways in which the m elements can be arranged occupying only the n positions.
In this case, the elements are not repeated, since if they are repeated or equal to each other, exchanging them does not generate a new permutation. And the order does matter, since the exchange between two different elements generates a new permutation
To obtain the total of ways in which m elements can be placed in n positions, the expression is used:
[tex]P=\frac{m!}{(m-n)!}[/tex]
The sign ! indicates the factorial function, which indicates that all positive integers between the number that appears in the formula and the number 1 must be multiplied.
Number of ways you can listen to 3 songsThe order in which songs are listening is important as there is no plan to listen to the same song twice. So, the permutation can be applied.
Being:
m=12n=3and replacing in the expression for permutation, you get:
[tex]P=\frac{12!}{(12-3)!}[/tex]
[tex]P=\frac{12!}{9!}[/tex]
[tex]P=\frac{479001600}{362880}[/tex]
P= 1320
Finally, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
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Conjecture of which fibonacci numbers are divisible by 3
A person has parents with high cholesterol. how will this impact the person's risk of developing a blood disease? brainly
Answer:
The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.
Explanation:
The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.
What is Lifestyle choices?
The phrase "lifestyle choices" is presumably something you've previously heard of before I said it a minute ago. A lifestyle decision is a conscious, individual decision to engage in a behaviour that may raise or lower the risk of illness or damage.
You have undoubtedly already chosen your lifestyle. You made a wise lifestyle decision to improve your physical health if you ride your bicycle for exercise every morning.
If you decide against drinking alcohol, you are making a decision to forgo potentially dangerous outcomes like a driving accident or internal organ damage, such as liver disease.
Therefore, The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.
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#SPJ2
a team of programmers is designing software. one portion of the project presents a problem for which there is not an obvious solution. after some research, the team determines that the problem is undecidable. which of the following best explains the consequence of the problem being undecidable?
The option that best explains the consequence of the problem being undecidable is there is no possible algorithm that can be used to solve all instances of the problem.
What does it imply if a problem is undecidable?An undecidable problem is known to be a kind of problem where people or a person does not know if a "yes" or "no" answer, will be the most appropriate.
In the above context, when a response is undecided, it can lead to no possible algorithm that can be employed in the handling of all cases regarding all issues of the problem.
See options below
A. The problem can be solved algorithmically, but it will require an unreasonably long amount of time.
B. The problem can be solved algorithmically, but it will require an unreasonably large amount of data storage.
C. There is no possible algorithm that can be used to solve all instances of the problem.
D. There are several different possible algorithms that can solve the problem, but there is controversy about which is the most efficient.
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A company profit of $20,000 decreases by 13.4% each year.
Answer: Her return on investment is 20%
2. $40,000
Explanation:
A college degree is associated with a higher income on average, so it makes sense to look at educational attainment when thinking about gender wage inequality. as your textbook notes, women’s college enrollment
Women’s college enrollment was has always been higher than men's, with the exception of the 1920s.
What is the reason of women's college?The reason of women's colleges was so that women, who have not been allowed to go to colleges and universities back in the 1800s were then given an opportunity.
Women are known to have access to high-quality post secondary education in this modern day than when compared to the 1800s.
See full question below
A college degree is associated with a higher income on average, so it makes sense to look at educational attainment when thinking about gender wage inequality. Women's college enrollment:______a. has always been higher than men's, with the exception of the 1920s. b. was lower than men's in the 1970s, but has been higher than men's since the 1980s. c. has been just about the same as men's since the 1960s. d. was lower than men's in the 1950s, but has been the same as men's since the 1970s.
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swollen ankles and legs with red blotches pictures
Swollen ankles and legs with red blotches picture is attached below.
Why are legs red and blotchy and swollen?A leg that is said to be red, swollen legs may be a sign of the issue of circulation.
Note that a lot of people with this symptoms are said to be experiencing what is known as called edema. Edema is defined as the real swelling of the ankles and the legs, that is caused as a result of venous hypertension etc.
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Kylie has been practicing repeating phrases such as, "i know i don’t wear the latest fashions, but i am comfortable. surely others feel like i do." her boss has also told her to consider meditation as it can help her practice these
Her boss has also told her to use meditation as it can help her practice self-affirmations.
What is self-affirmation?The term Self-affirmation is known to be some kind of words or that which helps and boasts a person's morale to think positively about the the key things in their life.
It is one that encourages people to think the right things about the the key areas of things in their life, such as family, career, or hobbies.
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How might stem cell research change the future of organ transplantation
Write each number in standard notation. see example. example 2.7 × 10− 6
In many Pacific Island nations, __________ languages have been created by speakers of two different languages, allowing them to communicate with one another.
A.
ta moko
B.
Pakehan
C.
animist
D.
pidgin
D. Pidgin
Edge 21-22
Cross out the part of the concept circle that does not belong
Answer:
Can you post a picture or sum
Explanation:
You are playing a game where you are rolling a fair 6 sided number cube
if I'm not wrong you might be talking about the game Dice???
sally really loves being outdoors. she likes to hike, do yoga in the warm sun, and go for long camping trips. she and her wife move to arizona from new york so that they can enjoy these activities in warmer weather for most of the year. this process of moving to an area that is most suited for one’s personality tendencies is called selective ________.
What is the explicit rule for the geometric sequence? 9,6,4,83,… enter your answer in the box. an=
The explicit rule of the geometric sequence 9,6,4,83 is an = 9 × 2/3^(n - 1)
How to find explicit rule of a geometric sequenceThe explicit rule of a geometric sequence is given by;
an = ar^(n - 1)
where,
a = first termr = common ration = number of terms9,6,4,83....
So,
a = 9
r = 6/9 = 2/3
Therefore,.
an = a×r^(n - 1)
an = 9 × 2/3^(n - 1)
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the answer above is correct but the formatting can be confusing..
took the test, here's the answer
A driver of a 1 000 kg jeepney travelling at a speed of 16,7 m/s bound for divisoria applies the car's brakes when he sees a red light along recto avenue. the car's brakes provide a frictional force of 8 000 n. determine the stopping distance of the car.
The stopping Distance of the Car with the given parameters is; 17.43 m
What is the stopping sight distance?
We are given;
mass; m = 1 000 kg
speed; u = 16.7 m/s
Frictional force; F = 8000 N
distance, s = ?
final velocity = 0 m/s (car stops)
Formula for final velocity is;
v² = u² + 2as
but a = negative (deceleration)
And F = ma
Thus;
a = F/m = 8000/1000
a = 8 m/s²
Thus;
0 = (16.7)² - 2(8)(s)
278.89 = 16s
s = 17.43 m
Stopping distance = 17.43 m
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Find the limit. use l’hospital’s rule where appropriate. if there is a more elementary method, consider using it. if l’hospital’s rule doesn’t apply, explain why.
The l’hospital’s rule states that when the limit of f(x)/g(x) is intermediate, it can be obtained by evaluating the limit of the quotient of the derivatives of f and g.
What is l’hospital’s rule?Your information is incomplete as the figures aren't given. Therefore an overview will be given.
It should be noted that l’hospital’s rule simply tells us that we've an intermediate value.
In this case, the l’hospital’s rule states that when the limit of f(x)/g(x) is intermediate, it can be obtained by evaluating the limit of the quotient of the derivatives of f and g. When the result is intermediate, the process can be repeated.
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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.
Use the mean value theorem to prove the inequality
Answer:
Proving inequalities, you often have to introduce one or more additional terms that fall between the two you're already looking at. This often means taking away or adding something, such that a third term slides in. Always check your textbook for inequalities you're supposed to know and see if any of them seem useful.
According to lamarck’s theory of evolution, organisms change during their lifetime to survive then pass these changes to their offspring. what supports the hypothesis of lamarck?
Answer:
Lamarckism, a theory of evolution based on the principle that physical changes in organisms during their lifetime—such as greater development of an organ or a part through increased use—could be transmitted to their offspring.
Drag the numbers to put the following steps in the correct order
Answer:
Can you put the steps in the question or is it a trick ❓
Choose the best answer. If i'm very good with numbers, which career should i probably choose? agricultor artista contador cantante
Answer:
contador
Explanation:
Answer:
i seak a littl spanish so contador is correct.
Explanation:
20.1 justifying circumference and area of a circle answers
Answer:
c=2pir and A=2pir its answer i think so
The horizontal part of a step is called the tread. the vertical part is called the riser. the recommended riser-to-tread ratio is 7 inches : 11 inches. a. find the value of x for stairs built using the recommended riser-to-tread ratio. round your answer to the nearest tenth.
The value of x for these stairs built by using the recommended riser-to-tread ratio is 32.5°.
Given the following data:
Length of riser = 7 inches.Length of tread = 11 inches.Ratio = 7:11.How to determine the value of x.In Mathematics, a tread refers to the horizontal part of a step while a riser is the vertical part of a step.
Note: Let the angle of inclination be x.
In Geometry, two (2) lines that are parallel have the same alternate interior angles. Thus, the angle of inclination between the riser and tread is given by:
[tex]Tan x = \frac{rise}{tread} \\\\Tan x = \frac{7}{11} \\\\Tan x = 0.6364\\\\x=tan^{-1}0.6364[/tex]
x = 32.5°.
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Read this passage from when birds get flu and cows go mad! by john diconsiglio. hughes was assigned to find infected cow parts at meat processing plants in washington. he remembers the sad look on some owners’ faces when he flashed his badge. if there was a chance that any of their meat might have mad cow, they’d have to throw it all away. "the business they built from scratch was destroyed—through no fault of their own. and there was nothing they could do about it," hughes says. the tone in this passage most suggests that hughes is caring. dedicated. tense. worried.
The tone in the given passage about hughes infecting cow parts most suggests that hughes is; Caring
What is the Tone of the Passage?From the given passage, we see that hughes was assigned to find infected cow parts at meat processing plant.
Now, he noticed the sad faces of the cow owners and was deeply concerned by their sadness about how any of their meat might have mad cow.
In conclusion, we can say he was caring because of his deep concern about the hapinness of the cow owners.
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Answer:
A
Explanation:
caring
which of the following is an effect of norepinephrine binding to beta 2 adrenergic receptors?
The effect of norepinephrine binding to beta 2 adrenergic receptors lead to vasodilation.
What is vasodilation?Vasodilation can be defined as the process in which the blood vessels enlarges because the blood vessel is inactive.
Vasolidation can occur due to the following:
ExerciseSide effect of medicationBody temperature etcTherefore when the norepinephrine is binding the blood vessels lead to what is called vasodilation.
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Magnesium chloride is a salt formed with ionic bonds
Elaborate on whether this lewis structure represents an element or a compound.
Answer:
compound
Explanation:
its has two atoms
Calculate the number of moles present in 1.29 x 10²⁴ molecules of hf
Answer:
According to Avogadro's number there are atoms present in one mole.
Therefore, we will calculate the number of moles present in atoms as follows.
Number of moles =
= 2.14 mol
Explanation:
Twelve identical point charges q are equally spaced around the circumference of a circle of radius r. the circle is centered at the origin. one of the twelve charges, which happens to be on the positive x axis, is now moved to the center of the circle.
There is only one net force acting on the charge at the center of the circle that will only be subjected to a repulsive force from the charge is extant on the negative axis of x.
What is a line charge?A line charge refers to the charge that is allocated along a curve that is one dimensional in nature such as a circle.
In physics experiments, line charges are used in wire chambers. Wire chambers are used for high-energy physics experiments.
In summary, the charges are put at equal distances around the circumference of the circle in the example.
Because the charges at the opposing ends of the circle are similar, they exert an equal-magnitude repelling force in the opposite direction on the charge at the center of the circle, thus balancing out the forces.
This is why there is only one net force acting on the charge at the center of the circle that will only be subjected to a repulsive force from the charge is extant on the negative axis of x.
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You are given some ferrous iodide, fei2 , and are asked to extract the iron through electrolysis. what can be said about the merits of molten versus aqueous fei2 ?
It is impossible to extract or derive iron metal from the electrolysis of the aqueous solution provided. The option left is to carry out the electrolysis on the molten salt.
What is Electrolysis?
Electrolysis refers to the process of causing a chemical decomposition in a liquid or solution that contains ions by sending electric currents via such a solution.
Electrolysis is used primarily for:
Extraction (also known as electrowinning); orPurification (also known as electrorefining) of metals from their ore state.Learn more about Electrolysis at:
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