The recurrence relation for the number of bit strings of length n that do not contain three consecutive zeros is; aₙ = aₙ ₋ ₁ + aₙ ₋ ₂ + aₙ ₋ ₃
How to solve recurrence relations?
Let Sₙ represent a string of length n that does not have 3 consecutive zeros, and let aₙ be the number of such strings.
If we take a string of length n − 1 that does not contain 3 consecutive zeros which is sₙ ₋ ₁.
Now, when we add a₁ to the string, we will have a string sₙ.
If we take a string sₙ ₋ ₂ and add 10 at the end, it will produce a string sₙ.
If we take a string sₙ₋₃ and we add 100 at the end, we will obtain a string sₙ. We see that this string is different from the first two that ended with 1 while this ended with 00. Thus, there are no other possibilities without having 3 consecutive zeros. Thus, we have the recurrence relation as;
aₙ = aₙ ₋ ₁ + aₙ ₋ ₂ + aₙ ₋ ₃
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Explain what the notation lim f(x)=-infinity means
Answer:
You are finding the horizontal asyemtopes/end behavior of the graph.
Explanation:
You are finding the horizontal asyemtopes/end behavior of the graph.
An employee at a construction company earns $33,000 for the first year of employment. employees at the company receive raises of $2400 each year. write a rule for the salary of the employee each year. then complete the table for the first 8 terms of the sequence.
The rule for the salary of the employee each year is $33,000 + $2,400n
Where n represents the number of years.
The completed table is:
n dn
1 $35,400
2 $37800
3 $40,200
4 $42,600
5 $45,000
6 $47,400
7 $49800
8 $52,200
What is the salary rule?The equation that can be used to determine the employee's salary in a given year is:
Total salary = initial salary + (rate of increase in salary x number of years)
$33,000 + $2,400n
Total salary in year 1 = $33,000 + $2,400(1) = $35,400
Total salary in year 2 = $33,000 + $2,400(2) = $37,800
Total salary in year 8 = $33,000 + $2,400(8) = $52,200
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I was called into service to lead the union troops because i can outkill or outlast my enemy. i am a father of the concept of modern war. who am i?
Answer:
a marine hoo-rah
Explanation:
me is smart
Which best describes the formation of metamorphic rock?
The first term of a geometric sequence is 8 and the fourth term is 216. what is the sum of the first 12 terms of the corresponding series?
The sum of the 12 terms of a geometric sequence with first term as 8 and fourth term as 216 is 2125760
Geometric sequence
The formula to solve geoemtric sequence is as follows:
aₙ = arⁿ⁻¹
where
a = first termn = number of termsr = common ratioTherefore,
ar³ = 216
a = 8
Hence,
8r³ = 216
r³ = 216 / 8
r³ = 27
r = ∛27
r = 3
Therefore,
sum of 12 term = a(rⁿ - 1) / r - 1
S₁₂ = 8(3¹² - 1) / 3 - 1
S₁₂ = 8(531440) / 2
S₁₂ = 4251520 / 2
S₁₂ = 2125760
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A resident right is something that a person is always entitled to
Answer: Heyo Kenji Here! Here's your answer ^^ - Resident Rights include: dignity, respect, individual choice, privacy, confidentiality, active care participation, and filling complaints/grievances. Select the response that is not considered to be a Resident's right to choose. A) Resident can choose to participate in activities inside and outside the facility.
Explanation: Hope This Helps!
have a nice day!-Kenji
A population of 250 birds inhabit the canopy of a tropical rain forest that has a carrying capacity of 400 birds. what is the maximum population growth rate (rmax) if the population grows to 283 in one year?
The maximum population growth rate (rmax) if the population grows to 283 in one year is = 13.2%
What is maximum population growth rate?The growth rate of a given population is the intrinsic rate of increase of that population.
To calculate the growth rate of a population the following is done:
The past value is subtracted from the present value. That is, 283- 250 = 33Divide the number gotten from the past value. That is, 33/250 = 0.132Multiply your answer by 100 to express it as the percentage rate. That is, 0.132 × 100 = 13.2%Therefore, the maximum population growth rate (rmax) if the population grows to 283 in one year is = 13.2%
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Select the correct answer. what happens to the molecules within a gas when the gas condenses? a. they gain energy. b. they lose energy. c. they drift apart. d. they move faster.
Answer:
Answer is B
Explanation:
A 100.0 ml sample of 0.18 m hclo4 is titrated with 0.27 m lioh. determine the ph of the solution at the equivalence point.
Answer: 7
Explanation:
The volume of 0.18 M HClO4 is 100.0 mL.
Calculate the number of moles of 0.18 M HClO4 and 0.27 M LiOH as shown below:
[tex]$$Number of moles $=$ Concentration $\times$ Volume$$\begin{aligned}\text { Number of moles of } \mathrm{HClO}_{4} &=100.0 \mathrm{~mL} \times\left(\frac{1 \mathrm{~L}}{1000 \mathrm{~mL}}\right) \times\left(\frac{0.18 \mathrm{~mol}}{\mathrm{~L}}\right) \\&=0.018 \mathrm{~mol} \\\text { Number of moles of } \mathrm{HClO}_{4} &=66.67 \mathrm{~mL} \times\left(\frac{1 \mathrm{~L}}{1000 \mathrm{~mL}}\right) \times\left(\frac{0.27 \mathrm{~mol}}{\mathrm{~L}}\right) \\&=0.018 \mathrm{~mol}\end{aligned}$$[/tex]
[tex]$$Moles of both acid aand base are equal.\\ $\mathrm{HClO}_{4}$ is a strong acid and $\mathrm{LiOH}$ is a strong base.[/tex]
At the equivalence point, the number of moles of the acid completely reacted with all the moles of the added base. Thus, the solution becomes neutral in nature. The pH of a neutral solution is 7. Therefore, the pH of the solution at the equivalence point is 7.
If jordan makes only the minimum monthly payments in march, april, and may, what will his balance be after he makes the minimum payment for may? (assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. round all dollar values to the nearest cent.) a. $1,094.10 b. $988.97 c. $967.60 d. $1,070.23
The balance of Jordan, after he makes the minimum payment for may, when he makes only the minimum monthly payments in March, April, and May, is $988.97.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount.
Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current balance every month.
At the beginning of March, Jordan had a balance of $628.16 on his credit card. The following table shows his credit card purchases over the next few months.
Month Cost ($) Start $628.16 March 50.81 March 48.04 April 77.36 April 32.40 April 49.20 May 25.79 May 79.39 May 79.08The total amount at the end of March is 727.01. With interest rate of 3.96% it will become, $755.8. Now, this is initial balance for April.
The total amount at the end of April is 914.76. With interest rate of 3.96% it will become, $950.98.
The total amount at the end of May is 1135.24 With interest rate of 3.96% it will become, $1180.19. For may, the minimum payment he paid.
Jordan’s credit card has an APR of 10.59%, compounded monthly. Thus, after the compounded interest with APR 10.59%, the amount will be $988.97, if he pay minimum payment for may.
The balance of Jordan, after he makes the minimum payment for may, when he makes only the minimum monthly payments in March, April, and May, is $988.97.
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Answer:B
Explanation: right on eng
Use the model here to describe the transfer of matter and flow of energy
Answer:
In ecosystems, matter and energy are transferred from one form to another. Matter refers to all of the living and nonliving things in that environment. Nutrients and living matter are passed from producers to consumers, then broken down by decomposers. Decomposers break down dead plant and animal matter.
Determine whether each of the following is a characteristic of a protist, fungus, or both.
The characteristic is that
Mycelium-FungiHeterotrophic-BothPseudopods-ProtistsWhat does Fungi do?The others are:
Contain cell walls with chitin- Fungi Fruiting body- FungiFlagellum- ProtistsFungi is known to be an organisms that are vital for decomposing and recycling. Note that they have a kind of symbiotic relationships with other organisms so as to be able to exchange nutrients.
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Which situation would cause the price of a product to fall the most
Answer:
which the supply is higher than the demand or a decrease in production materials or a company at the brink of bankruptcy
In this excerpt, president reagan is referring to what would become known as-
Using the excerpt, President Reagan is referring to what would become known as the Iran-Contra affair.
What describes the Iran Contra affair?This is known to be a kind of secret arms deal that exist between US na d their known enemy.
The Iran-Contra Affair was known to be a type of secret operation where the US government were said to have in secret, Illegally sent weapons to a their known enemy and they were also said to have sent financial aid to a rebel force.
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In a campaign speech, a candidate criticizes an opponent for voting in favor of a controversial bill that both of them actually supported. in what way is this tactic most likely deceptive towards voters? a) it dupes voters by using greatly inflated claims b) it distracts voters by appealing to their emotions. c) it misleads voters by omitting critical information. d) it confuses voters by accusing the opponent falsely.
Answer: It misleads voters by omitting critical information
Explanation:
Trust me
Use an online search engine to find a trusted online dictionary then examine the meaning of the word recalcitrant. describe the word’s origin, the most common meaning of the word, two synonyms, and two antonyms.
The word 'recalcitrant' has a Latin origin (calcitrare) and was originally used for describing "to kick" actions.
What does recalcitrant mean?Recalcitrant is a word derived from calcitrare (Latin) and originally used for indicating "to kick" actions.
A person considered 'recalcitrant' is someone who is obstinately defiant of authorities and/or social restraints.
Two synonyms of this word (recalcitrant) may be ungovernable and insubordinate, whereas two antonyms include docile and subordinate.
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Answer:
"Recalcitrant" comes from the Latin word "recalcitrare," which means "to be disobedient." The word "recalcitrant" means "stubbornly resistant." Two synonyms are "obstreperous" and "willful." Two antonyms are "compliant" and "obedient."
Explanation:
im on edge rn so .,.
During a rainfall, the depth of water in a rain gauge increases at a rate modeled by r(t)=0.5+tcos(πt380) , where t is the time in hours since the start of the rainfall and r (t) is measured in centimeters per hour. how much did the depth of water in the rain gauge increase from t = 0 to t = 3 hours?
During a rainfall, the depth of water in a rain gauge increases 1.4658 cm.
What is a cosine function?Cosine is a trigonometric function, used in a right triangle to define the ratio of the side adjacent to and the hypotenuse of this triangle.
During a rainfall, the depth of water in a rain gauge increases at a rate modeled by:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})[/tex]
Where:
t is the time in hours since the start of the rainfall R(t) is measured in centimeters per hour.So, when t=0, the depth of water will be:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})\\R(0)=0.5+0cos(\frac{\pi 0^3}{80})\\R(0)=0.5 cm[/tex]
So, when t=3, the depth of water will be:
[tex]R(t)=0.5+tcos(\frac{\pi t^3}{80})\\R(3)=0.5+3cos(\frac{\pi 3^3}{80})\\R(3)=1.9658 cm[/tex]
So the difference will be:
[tex]R(3)-R(0)=1.4658 cm[/tex]
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Which sales channel has been opened to manufacturers because of digital tools
The sales channel that has been opened to manufacturers because of digital tools is called; Direct to Consumers
What is the sales channel?
A sales channel is defined as the way in which a business-to-business (B2B) sales organization goes to market, either through direct or indirect routes, to sell its product or solutions to end customers.
Since we are in a digital era now, consumers can be able to make purchases for products through online sales platforms and the goods will be delivered to the person's address.
Thus, the sales channel opened to manufacturers because of digital tools is called Direct to Consumers.
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English kings had allowed their subjects to participate in making laws through representatives in parliament. this system of government worked as long as the king was not challenged on important matters. whenever the parliament clashed with their monarch, the king would get his way by suddenly convening parliament in a remote, unreachable part of the country. without a proper quorum of members, the king could then decide law as he pleased. as a result, representatives in the united states had drawn up the constitution with particular attention to the issue of where they would meet in the future. as far as jefferson and madison were concerned, only congress could relocate itself, and it could do this only after it officially convened in philadelphia. —an american plague, jim murphy what effect did the king's habit of moving parliament have on us representatives? which signal word(s) identify an effect in this passage? what conclusion can be drawn from this cause-and-effect relationship?
Answer:
Answer:1.✔ It led them to name a meeting spot in the Constitution
2.✔ as a result
3.✔ Americans did not like how the English king ruled.
Explanation:
i did the Assignment
The Parliaments, a doo-wop vocal group headquartered in a barbershop in Plainfield, New Jersey, were the precursor to Parliament.
What is Parliament?Grady Thomas, Calvin Simon, Fuzzy Haskins, George Clinton, and Ray Davis made up the group when it was founded in the late 1950s.Clinton served as the group's manager and leader.
The group had a hit with Testify" on Revilot Records in 1967; Clinton co-wrote the song. To take advantage of this chart success, Clinton started a touring band with adolescent barbershop employee Billy Nelson on bass and his friend Eddie Hazel on guitar.
Clinton momentarily lost the right to use the moniker "The Parliaments" due to a legal battle with Revilot.
Therefore, The Parliaments, a doo-wop vocal group headquartered in a barbershop in Plainfield, New Jersey, were the precursor to Parliament.
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How have scientific advancements helped reduce the impact of hazardous events on society?
Explanation:
Scientific advancements have led to the ability to detect some hazardous events before they occur, allowing society to plan for them, mitigating their damage.
How many identification code are possible by using 3 letters if no letter may be repeated?
Answer:
8 sorry if im wrong
Explanation:
Answer:
If there are 4 letters so the Answer will be 358,800 Maybe if you Calaculate for 3 it would be 15600.\
Hope this helps you!!
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A consumer charges a $46.92 purchase on a credit card. the card has a daily interest rate of 0.039%. if the consumer pays off the balance at the end of 30 days, how much in interest will be paid for the purchase? a. $0.06 b. $0.18 c. $0.55 d. $5.49 please select the best answer from the choices provided. a b c d
The interest that will be paid for a period of 30 days at an interest rate of 0.039% will $0.55
Interest Rate ComputationGiven Data
Charge on purchase = $46.92Daily interest Rate = 0.039%Number of Days = 30Let us find the daily amount in Interest
= 0.039/100*46.96
= 0.0182988
Hence the daily interest made will 0.018
Also, for 30 days the accrued amount will be
= 0.18*30
= 0.548964
= $0.55
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Answer:
C. $0.55
i got 100%
Gabriel leans a 18-foot ladder against a wall so that it forms an angle of 73^{\circ} ∘ with the ground. how high up the wall does the ladder reach? round your answer to the nearest hundredth of a foot if necessary.
How high up the wall does the ladder reach is 17.21 ft.
To solve the question, we need to know what right-angled triangles are.
What is a right-angled triangle?A right-angled triangle is a triangle in which the angle facing the longest side is 90°.
The required right-angled triangleThe ladder, the ground and the wall form a right angled triangle with hyptenuse side, length of ladder, L and opposite side to angle between ground and ladder, Ф = 73° is h. Opposite side equals height of ladder along wall, h.
How high up the wall does the ladder reach?
From trigonometric ratios
sinФ = h/L
h = LsinФ
Substituting the values of the variables into the equation, we have
h = LsinФ
h = 18 ft × sin73°
h = 18 ft × 0.9563
h = 17.21 ft
So, how high up the wall does the ladder reach is 17.21 ft.
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Use the standard normal form table to find p(z ≤ 0.82). p(z ≤ 0.82) ≈
Using the standard normal form table to find the probability is; p(z ≤ 0.82) ≈ 0.7939
How to Interprete Standard Tables?When talking about z-score in standard normal distribution, there could be greater than or equal to, less than or equal to, greater than, less than.
Now, in this case, we are dealing with the probability of p(z ≤ 0.82). This gives;
p(z ≤ 0.82) = 1 - 0.2061
p(z ≤ 0.82) = 0.7939
Thus, from normal form table, p(z ≤ 0.82) ≈ 0.7939
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Answer:
79%
Explanation:
An enzyme speeds up a chemical reaction in the cell but can only be used once.
Answer:
An enzyme speeds up a chemical reaction in the cell, but it can only be used once.
Explanation:
Choose the word that can not complete the sentence. está _____ .
Answer:
esta bien
Explanation:
is that okay
esta bien
How tall is steve in feet and inches according to the game’s scale?
For the year ended december 31 depot max's cost of goods sold was 56900
A female mosquito can produce 50-500 offspring in a two-week period of time. this rapid reproduction can also result in fast evolution for this small insect species. for example, pesticide resistance occurs rapidly in insects, including mosquitoes. insecticides that were once effective at eradicating mosquito populations are no longer effective. which component of natural selection is likely playing a role in this rapid evolution for mosquitos?
They produce more offspring than can survive in their lifetime. Offspring are varied genetically, with differential survival and reproduction.
What are mosquitoes?Mosquitoes are ectoparasites, that feed on the blood of different animals. They do that by sucking blood from the skin of animals and leave red spots that are itchy.
Now, mosquitoes lay their eggs in water and live in dirty, moist, dark places. They are also responsible to cause malaria in humans.
Thus, we can say that produce more offspring than can survive in their lifetime. Offspring are varied genetically, with differential survival and reproduction.
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Which best summarizes the central idea in the excerpt? tan is troubled by the way her mother uses the english language. tan is uncomfortable using negative terms to describe her mother’s english. tan has difficulty trying to explain what she means when she writes in english. tan has found that the english language is lacking in descriptive word choices.
The statement which best summarizes the central idea in the excerpt is "Tan is uncomfortable using negative terms to describe her mother’s english".
The excerpt from "Mother Tongue" by Amy Tan.Lately, I’ve been giving more thought to the kind of English my mother speaks. Like others, I have described it to people as “broken” or “fractured” English. But I wince when I say that. It has always bothered me that I can think of no other way to describe it other than “broken,” as if it were damaged and needed to be fixed, as if it lacked a certain wholeness and soundness.
Therefore, it can be seen that Tan feels uncomfortable using negative terms such as broken and fractured to describe her mother's English.
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Answer:
B
Explanation:
Edge 2022