the value of P(7), given P(x) = negative4(x minus 15)2 + 2 is 1721.
The problem above can be solved using the ideal of polynomial.
What is a Polynomial?Polynomials are mathematical expressions whereby the highest degree of their unknown is 2 and above.
Given:
P(x) = negative4(x minus 15)2 + 2P(x) = -4(x-15)²+2Expand the expression
P(x) = -4(x²-30x+225)+2P(x) = -4x²+120x+900+2P(x) = -4x²+120x+902To find P(7), we subtitute 7 as the value of x in the expression above
P(7) = -4(7²)+120(7)+909P(7) = -28+840+909P(7) = 1721Hence, the value of P(7), given P(x) = negative4(x minus 15)2 + 2 is 1721.
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Introduction to linear algebra 4th edition solutions
Answer:
Whats your question?
What do you need help on?
I took algebra a while ago so I may be able to help you.
Alyssa opened a retirement account with 7.25% apr in the year 2000. her initial deposit was $13,500. how much will the account be worth in 2025 if interest compounds monthly? how much more would she make if interest compounded continuously?
The total amount accrued, principal plus interest, with compound interest on a principal of $13,500.00 is $19,377.24.
Compound InterestGiven Data
Principal P = $13500Rate r = 7.25%Time = 5 yearsA = P + I where
P (principal) = $13,500.00
I (interest) = $5,877.24
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 7.25/100
r = 0.0725 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 13,500.00(1 + 0.0725/12)^(12)(5)
A = 13,500.00(1 + 0.0060416666666667)^(60)
A = $19,377.24
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Look carefully at all of the underlined words. based on the context of this quote, what does "elective franchise" mean?
Answer:
tbh I'm not really sure sorry ♂️
Answer:
C. Right to vote
Explanation:
Because factories were usually located in cities, industrialization went hand-in-hand with –. the industrial economy helped create robust growth in the united states for many decades. plentiful manufacturing and industrial jobs meant that – could enter the job market making a good wage. but as the economy began to transform once more, from an industrial to a postindustrial system, the nature of work changed as well. – led to a decline in manufacturing jobs: with about – jobs lost since 1980
The up-menu list for the sentence which explains the industralization and its impact on the economy includes:
urbanizationhigh school graduatesOffshoring7.5 millionWhat is industralization?An industralization means the development of industries in a region which plays an instrumental role in the economic development of the world
Correct drop-downs includes:Industrialization went hand-in-hand with urbanization. The industrial economy helped create robust growth in the united states for many decades. plentiful manufacturing and industrial jobs meant that high school graduates could enter the job market making a good wage. But as the economy began to transform once more, from an industrial to a postindustrial system, the nature of work changed as well. Offshoring led to a decline in manufacturing jobs: with about 7.5 million jobs lost since 1980.
In conclusion, the emergence of Industrialization is an imporant event that impact the world economy at large.
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Hugo is standing in the top of st. louis' gateway arch
When one group of species is replaced with others over time,it is called
Meg surveyed some students at her school about their favorite professional sports. of the students surveyed, 2 said football was their favorite sport, while 8 of the students had other favorite sports. what is the experimental probability that the next student meg talks to will pick football?
Answer:
1/5
Explanation:
If 10 students were presumably interviewed and 2/10 said football whereas the other 8/10 said something else, then the 2/10 fraction can be simplified to 1/5 which is your answer. Hope this helps!
Lamarck's ideas about the process of evolution include each of the following except
Evolutionary relationships among organisms can be depicted by groupings based on similarity is an idea that isn't among Lamarck's process of evolution.
What is an evolution?Evolution refers to a biological process that involves a gradual change in the genetic make up and characteristics of species of an organism over several successive generations.
According to Lamarckism, it can be deduced that acquired characteristics in living organisms are inherited and all organisms arise through spontaneous generation.
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What are the disadvantages of using artificial blood brainly
Answer:
To be effective, a blood substitute has to function like hemoglobin in carrying oxygen to organs and cells inside the patient's body. The problem, however, is that hemoglobin outside of RBCs is toxic.
Explanation:
A linguist at a large university was studying the word length of papers submitted by students enrolled in humanities programs. from a random sample of 25 papers, the linguist counted the number of words used in each paper. the 95 percent confidence interval was calculated to be (20,995, 22,905)
The correct interpretation regarding the confidence interval is that we are 95% confident that the mean number of words used in all papers is between 20,995 and 22,905.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b
In this problem, the 95% confidence interval for the number of words in the sample of 25 papers is (20,995, 22,905), hence the interpretation is that we are 95% confident that the mean number of words used in all papers is between 20,995 and 22,905.
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Evaluate the indefinite integral as an infinite series. arctan(x2) dx
The indefinite integral expressed as an infinite series is;
[tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]
How to find indefinite integral?We will first have to look for the Maclaurin series of arctan(x).
We'll recall that from online tables of integral, this Maclaurin series of arctan(x) will have the general formula;
[tex]arctan(x) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{x^{2n + 1} }{2n + 1}[/tex]
When we apply that general Maclaurin series of arctan(x) to our question of arctan(x²), we have the expression as;
[tex]arctan(x^{2} ) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x^2)^{2n + 1} }{2n + 1}[/tex]
⇒ [tex]= \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1}[/tex]
We now integrate the expression that we got above in the following manner to get;
[tex]\int\limitsarctan(x^{2} ) = \int\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1} dx[/tex]
⇒ [tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]
Thus, that expression gives us the indefinite integral of arctan(x²) as an infinite series.
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Purvik and nisha spent a summer day at a popular amusement park with friends. they rode roller coasters, ate cotton candy, and played carnival games to win prizes. explain how each of the following might have played a role in their day
The way the different type of emotions might have played a role in their day is; As detailed in the explanations below
What are some of the roles in motion theory?The role of given thing that might have played in their day are as follows:
The Amygdala: This is an important part of the limbic system that is responsible for the processing of emotions like joy, wonder, fear e.t.c.The approach-approach conflict: This is one that takes place when there's conflict to decide between two appealing goals. It plays a role in deciding which activity to do first.Arousal theory: It is a theory that plays a major reason people are driven to perform any action is to maintain the optimal level of physiological arousal.Informational Social Influence: It is a psychological process in which people imitate of actions of others.Motion parallax: This is a monocular depth cue. It generates a feeling like an object that is closer moving faster than objects that are further away from us.Taste aversion; This is when our senses or mind develops resistance towards certain types of food.Vestibular sense; This involves the sensations of body rotation and of gravitation and movement arise in the inner ear.Read more about motion theory at; brainly.com/question/9138858
You can divide a segment into n congruent segments by bisecting segments repeatedly what are some of
Answer:
A segment can be divided into n congruent segments by bisecting segments repeatedly.
Explanation:
What are the three reasons grasses dominate and trees do not in the grasslands biomes?
Answer:fire and drought
Explanation: i took the quiz :)
Suppose the government in this economy decides to decrease government purchases by $250 billion. the decrease in government purchases will lead to a decrease in income, generating an initial change in consumption equal to . this decreases income yet again, causing a second change in consumption equal to . the total change in demand resulting from the initial change in government spending is .
When the government decides to decrease government purchases by $250 billion, this will lead to a $175 billion decrease in income.
How to calculate the decrease in income?From the information, the government decides to decrease government purchases by $250 billion. The decrease in income will be:
= $250 × 0.7
= $175 billion
This decrease in income yet again will cause a second change in consumption equal to:
= $175 × 0.7
= $122.5 billion
The total change in demand resulting from the initial change in government spending will be:
= $250 × (1/30%)
= $250 × 3.33
= $833 billion
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There are 18 mathematics majors and 325 computer science majors at a college. in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major?
Answer:To pick one mathematic major we have 18 way, and o pick one computer science we have 325 ways, so we have 18 * 325 = 5850 ways to make a combination from them.
Explanation:
If 25 a 9 b 3=75 and 15 a 6 b 2=45, then 16 a 8 b 2=?
Answer:
64
Explanation:
since 25 a 9 b 3 =75
9/3 =3
3×25 equal 75
then
16 a 8 b 2=
8÷2=4
4 ×16 =64
Which of the statements are evidence that gases do not always behave ideally?
Answer:
diffusion
Explanation:
diffusion, state of matter ,osmosis
Based on the passage, what inference can be made about why president eisenhower supported the civil rights act of 1957? he wanted to protect the rights of minority voters. he wanted to ensure that all people had the right to run for political office. he wanted to stop voters from breaking the law. he wanted to manipulate the election process so only certain candidates were elected.
Answer:
A. he wanted to protect the rights of minority voters.
Explanation:
A: He wanted to protect the rights of minority voters.
Explanation: Got it correct in adgenuity
True or false if a and b are square matrices, then ab =ba,
yes
Explanation:
it is true because it's the formula of mathematics
What is one major drawback of economic specialization for countries?
One major drawback of economic specialization for countries is; Countries must trade for essential goods outside of their specialization.
What is economic specialization?Economic specialization is the process where a company or individual decides to focus their labor on a specific type of production.
Now, the overall impacts of specialization on the economy are so huge. This is because specialization in a field develops new techniques that lead to huge increase in productivity.
In conclusion, Increased economic specialization leads to higher standards of living for all those involved in economic exchanges.
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The half life of rubidium 87 is about 48.8 billion years
you are missing a part of the question i believe?
Houghton mifflin harcourt geometry (volume 2 teacher edition pdf)
Houghton Mifflin Harcourt geometry is known to be a popular textbook. An example of this geometry is trigonometry and angles.
What is Houghton Mifflin Harcourt geometry about?This geometry textbook is written by Houghton Mifflin Harcourt . It is one that helps student to build their existing knowledge on geography.
The term trigonometry is known to be a branch of mathematics that functions mostly with some special functions of angles and also their application in terms of calculations.
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An agricultural station is testing the yields for six different
The statement about the design that is correct is that; This a block design with fields as blocks and seed types as treatments.
What is random block design?
From the complete question seen online, we see that the researchers in this agricultural testing divide each field into six sections and then randomly assign one variety of corn seed to each section in that field.
Now, we are further told that this procedure above is repeated for each field and at the end of the growing season, the corn will be harvested, and the yield measured in tons per acre will be compared.
Finally, we can say that this is a block design because it is an experiment where the fields that have certain characteristics are grouped together to form blocks, while the treatments are the variety of corn seeds that are randomly assigned within each block.
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Water is boiled to make steam to turn a generator to send power to a house. the energy conversions involved include ___________________
What is the topic of this passage? jim makes friends with a cooter. an enslaved man believes a talking cooter will help him gain his freedom. a talking cooter wants to meet jim. jim is a talking cooter who wants to be a dreamer like his owner.
We can see that the topic of this passage is: An enslaved man believes a talking cooter will help him gain his freedom.
What is passage?A passage actually refers to a piece of writing that actually contains sentences and paragraphs. Passages are written to relay information or stories that took place.
We can see here that Jim is a slave. So, he believes that a talking cooter will help him gain his freedom. This is actually the topic of the passage.
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The topic of the given passage is B). An enslaved man believes a talking cooter will help him gain his freedom.
What is Topic?This refers to the subject of what is being discussed in a given passage or text.
In this case, the passage talks about Jim believing when he allows the owner of the plantation meet the cooter he will regain freedom which is why option B was chosen.
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Read the article and use the information to answer the following questions. puberty when does puberty occur? what causes the changes that occur during puberty?
Answer:
include this: For girls, puberty typically occurs between the ages of nine and thirteen
For boys, puberty typically occurs between the ages of ten and fifteen.
An increase in hormones – estrogen and progesterone in girls and testosterone in boys – causes the changes that happen during puberty.
Explanation:
Puberty appears differently in boys and girls. It happens between ages 10 to 14 in girls while 12 to 16 in boys. This stage of puberty relies on hormonal imbalances.
What do you mean by Puberty?Puberty may be described as the time in the life of any person when a boy/girl becomes erotically mature.
In boys, puberty relies on the hormone testosterone which generates some changes like beard growth, voice modification, etc. In girls, puberty relies on the hormones estrogen and progesterone which drives some changes like breast development, menstrual cycle, etc.
Therefore, above exist some changes that happen during puberty.
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nematodes and arthropods are the largest ecdysozoan phyla. which of the following statements are true? select all that apply.
Nematodes are elongated worms that are either parasitic to living things or free-living in soil while arthropods are invertebrates that has segmented bodies and joined appendages.
True statements about nematodes and arthropodsNematodes and arthropods are the largest ecdysozoan phyla the following statements about them is true.
Both nematodes and arthropods possess an external covering, or cuticle.Arthropods possess an open circulatory system.Some nematodes are parasitic on humans.Both nematodes and arthropods must molt in order to increase in size.Arthropods are named for their jointed appendages.Learn more about nematodes here:
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Use the drop-down menus to identify the case of the underlined pronoun in each example. katie’s dog likes to swim. mathew’s dog doesn’t. hers is in the water now. the dogs waited patiently. katie and mathew usually walked them after dinner. at the end of the day, the dogs were tired. they went to bed.
Answer:
Katie’s dog likes to swim. Mathew’s dog doesn’t. Hers is in the water now.
✔ possessive
The dogs waited patiently. Katie and Mathew usually walked them after dinner.
✔ objective
At the end of the day, the dogs were tired. They went to bed.
✔ subjective
among florida regulations regarding obstructions to navigation, it is illegal to attach your vessel to which of the following?
it is illegal to attach your vessel to a lateral buoy or non-lateral marker
What is illegal to attach your vessel to?Note that it is illegal to attach a vessel to a buoy , beacon, etc. or any other form of navigational aid that is put into a public waters by the right authorities.
It has been stated that it is bad or illegal for on to Move, displace, alter, damage, or do away with any form of navigational aid and this can attract penalty.
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