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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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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The writer wants to add a sentence after sentence 11 to conclude the passage with a quotation that effectively restates and reinforces the overall argument. which choice best accomplishes this goal?
The best conclusion reinforces argument is;Today is the best indicator of tomorrow, but today decreases in value for points further in the future.”
How to conclude a Passage?
When we are trying to conclude a passage, we are basically trying to close out the overall text or story line with a quote or quotes that best captures the idea or argument being portrayed in the original text.
Now, the argument from the text is a relationship between today, yesterday and tomorrow and the importance of today in that regards.
Looking at the given options as seen in the brainly link below, the best choice that reinforces the overall argument is that of political scientists Joseph Coates and Jennifer Jarratt who said “Today is the best indicator of tomorrow, but today decreases in value for points further in the future.”
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Intersecting chords common core geometry homework answers
The circle is an illustration of intersecting chords.
The value of x is 4
How to determine the value of x?From the complete question, the given parameters are:
Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6This means that:
jn * nk = ln * nm
So, we have:
3 * x = 2 * 6
Divide both sides by 3
x = 2 * 2
Evaluate the product
x = 4
Hence, the value of x is 4
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There are 12 of the zodiac. how many people are needed to guarantee that at least six of these people have the same sign? your answer must be one integer.
Answer:es, the answer is 61. This is related to a mathematical principle called the Pigeonhole Principle, which states that if you are trying to sort n+1 objects into k sets (where nk=r;n,k,r∈Z+), at least one set must contain at least r+1 objects. (This can be proven by proof by contradiction, but is pretty standard and so generally can just be used as justification of an answer by itself.)
For your problem, you have 12 signs of the zodiac - these are your 12 sets (so k=12). You are looking to find how many it takes before a set contains 6 objects (so r+1=6 and thus r=5). Therefore, n+1=r×k+1=12×5+1=61.
Explanation:
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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A swimsuit is on sale for $ 29.75 $29.75. if the original price of the swimsuit is $ 35 $35, what is the percent of the discount?
The percentage of the discount of the swimsuit with original price of $35 and current price of $29.75 is; 15%
What is the discount percenttage?We are given;
Current price of swimsuit = $29.75
Original price of swim suit = $35
Difference in price = $35 - $29.75
Difference in price = $5.25
Percentage discount = 5.25/35 * 100%
Percentage discount = 15%
In conclusion, the percentage of the discount of the swimsuit is 15%
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Find the probability distribution of the random variable w in exercise 3.3, assuming that the coin is biased so that a head is twice as likely to occur as a tail.
There are four major types of probability and they include:
classical, empirical, subjective axiomaticWhat is Probability?This refers to the mathematical depictions of the possibility of an event occurring based on given variables.
Please note that your question is incomplete so I gave you a general overview of a probability distribution.
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Mr. reams mixes 12 cups of paint in a large bowl. he uses the paint to fill 40 small dishes with 2 fluid ounces of paint each. how many cups of paint does mr. teams have left in the bowl?
Mr Reams uses 10 cups of paint to fill the small dishes, therefore, the amount of paints left in the bowl is 2 cups.
How to convert ounces to cups?He mixes 12 cups of paints in a large bowl.
He uses the paint to fill 40 small dishes with 2 fluid ounces of paint each.
1 small dish = 2 fluid ounces
40 small dishes = 80 fluid ounces
Therefore,
1 fluid 0unces = 0.125 cups
80 fluid ounces = ?
cross multiply
amount of paint filled = 80 × 0.125 = 10 cups
Therefore, the amount of cups pf paint Mr Reams have left in the bowl is 12 cups - 10 cups = 2 cups.
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if an individual is heterozygous for a particular trait
How are businesses taxed with the corporate income tax brainly
Businesses taxed with the corporate income tax are done on the profits after deducting all the expenses.
What is a Tax?This is a levy imposed on taxpayers by government organizations which helps to provide a source of revenue.
Businesses usually taxed with the corporate income tax by deducting all the expenses after profit has been determined.
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The parents of a little girl who keeps a mare in their backyard agree to take the mare down the road to be serviced by a stallion at a breeding facility. sometime after the mare returns, she develops a thick mucus discharge from her nose and has a swelling under her jaw. this mare should have been vaccinated against
a) strangles.
b) botulism.
c) rabies.
d) potomac horse fever.
Determine whether f is an exponential function of x. if so, find the constant ratio
The constant ratio of the function f is its growth rate
The function f is an exponential function with a constant ratio of 2
How to determine if the function is an exponential function?To do this, we simply divide the consecutive function values
From the complete question (see attachment for the table), we have:
f(-1) = 1/4
f(0) = 1/2
f(1) = 1
f(2) = 2
Divide the function values to get the ratio, r
r = f(2)/f(1) = f(1)/f(0) = f(0)/f(-1)
This gives
r = 2/1 = 1 / 1/2 = 1/2 / 1/4
Evaluate the quotients
r = 2 = 2 = 2
The value of r is the same for the three quotients.
Hence, the function f is an exponential function with a constant ratio of 2
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Math accelerated chapter 11 congruence similarity and transformations answers
An example of congruence similarity and transformations work is " If the measures of the angles of a triangle are in the ratio 4 : 5 : 9. The triangle is?.
What is right angled triangle?A right triangle is known to be often called right-angled triangle. It is said to be a triangle that is composed of one angle which is at a right angle and two sides which are said to be perpendicular.
So lets take the angles to be 4x, 5x and 9x
We add them to be 4x + 5x + 9x =180°
18x=180° =
x= 180/18
x = 18
So therefore the angles are:
4×10°
=40°
5×10°
=50°
9×10°
=90°
So therefore since one of the angle is 90° and as such, the triangle is right angled triangle.
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Two skydivers of different masses jump from a plane
The relationship between the net force of both sky divers is that; the net force for both skydivers is the same.
What is the net force experienced?We are told that two skydivers of different masses are jumping out of an airplane. Now, at some point, both skydivers will slow down to the point at where they reach constant velocity.
Due to the fact that the velocity for both sky divers is constant, it means that no acceleration will occur and as such, the net force on each sky diver is zero.
Thus, we conclude that the net force for both skydivers is the same.
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Leo wants to buy some shoes. he found the shoes at three different stores for a price of $35. the stores are each having a sale.
Answer:
there is no question
Explanation:
there is no question
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:
If a parent cell has 10 chromosomes, how many chromosomes will be in each daughter cell?
A water balloon is dropped from a height of 144 feet
Answer:
3 seconds
Explanation:
Make a graph of the possible outputs for the trajectory of the water balloon. Then, solve for x. Doing this, you end up with 3 seconds.
A water balloon is dropped from a height of 144 feet for 3 seconds.
What is water balloon?A water balloon, commonly referred to as a water bomb, is a latex rubber balloon filled with water that is used in practical jokes, water balloon fights, and other celebrations.
The first water balloons arrived in 1950, despite the fact that rubber balloons have been around since the first part of the 19th century (Michael Faraday created them in 1824 for his experiments).
At that time, Edgar Ellington tried to come up with a fix for the much more serious issue of trench foot. Trench foot is a condition brought on by extended exposure to cold, damp, and unclean circumstances.
Therefore, A water balloon is dropped from a height of 144 feet for 3 seconds.
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List the sample space in the given experiment how many outcomes are possible brainly
The sample space of the experiment is the elements in the set
The sample space {Head, Tail} and there are 2 outcomes in the sample space
How to determine the sample space?From the complete question, the experiment is a toss of a coin
A coin has a head and a tail.
So, the sample space (S) is:
S= {Head, Tail}
The number of outcomes in the above sample space is 2
Hence, the sample space {Head, Tail} and there are 2 outcomes in the sample space
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Lesson 14.1 distance in the coordinate plane answer key
The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.
What is the Distance Formula?The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.
For example, given the following points on a coordinate plane:
A(2, 3) - (x1, y1)B(5, 6) - (x2, y2)Using the distance formula, we would calculate the distance as:
AB =√[(5−2)² + (6−3)²]
AB = √[(3)² + (3)²]
AB = √18
AB = 4.2
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Does drying barley seeds in a kiln increase the yield of barley
Answer:
There is no convincing evidence that drying barley seeds in a kiln increase the yield of barley, on average.
Explanation:
The excerpt is from hisaye yamamoto’s story "morning rain," published in 1952. this passage depicts a family conversation. read the passage carefully. then, in a well-written essay, analyze how yamamoto uses literary elements and techniques to convey the ways in which the communication among sadako, mr. endo, and harry reveals their complex relationships.
Yamamoto uses literary elements such as flashback and paradox to list or show the language barrier that was said to exist between Mr. Endo, his son-in-law and the other parties involved.
What was the literary elements used in the passage about?In the excerpt, Yamamoto was said to have make use of flashback and paradox so as to show the language issue that did exist between Mr. Endo and that of his son-in-law.
He also uses the element to show the generational divide that is said to have existed between Sadako and her father, thereby showing the strained in terms of their relationships in the family as a result of lack of communication.
Conclusively, The paradox also tell about the physical hindrances that lead to the issue or wide gap in their relationship.
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Years ago, home depot had an annual dividend of $0.90. if you owned 4,000 shares of home depot, how much did you receive annually in dividends?
Given:
# of shares = 4000
Dividend per share = 0.90
The income by dividends is the product of the number of shares and the dividend per share.
Income Dividends = # of shares x Dividend per share
4000 x 0.90 = 3600
When written as y=f(x) a function is said to be defined
Answer:
Explicity
Explanation:
so when we have a function is y is equal to f of X. Which this is really just saying that it's only dependent on one input. Then these kind of functions are called explicitly defined.
Jacob would like to purchase a coat and a hat for a ski trip. the coat is $62. 75 and the hat is $14. 25. if the sales tax rate is 8%, then what will be the amount of tax on jacob’s purchase?
The amount of tax on jacob’s purchase is $6.16.
What is Tax rate?Tax rate is simply the ratio at which a business or person is taxed.
To determine the amount of tax on Jacob’s purchase, we simply multiply the total purchase made by the tax rate.
Total purchase by Jacob; [tex]P = 62.75 + 14.25 = 77[/tex]
Sales tax rate; [tex]r = 8/100[/tex]
Hence, the amount of tax on jacob’s purchase is;
[tex]= 77 * \frac{8}{100}\\ \\= 6.16[/tex]
Therefore, the amount of tax on jacob’s purchase is $6.16.
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Let w be the union of the first and third quadrants
Answer:
union mean between so the. first n second quadrants are at 180 degree so we will divide my 2 n then get the answer to be 90
A long, hollow wire has inner radius r1 and outer radius r2. the wire carries current i uniformly distributed across the area of the wire
The expression for the magnetic field strength from the ampere law when the radius of the hollow wire is considered will be zero.
What is ampere law?It should be noted that ampere law simply means that for a closed loop path, the magnetic field is proportional to the size of the electric current.
From the complete question, the expression for the magnetic field strength will be zero since the radius is less than R1. In this case, no current is enclosed.
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What does this passage most clearly reveal about lady bracknell? she believes in the importance of education. she believes in equality among all people. she believes that ignorance is a desirable trait.
Answer:she believes that ignorance is a desirable trait.
Explanation:
Answer: C
Explanation:
How far from the end of the banjo string must a fret be so that the string's fundamental frequency is 330 hz when you hold it down at the fret?
The length of the end of the banjo string when the fundamental frequency is 330Hz will be 0.61m.
How to calculate the length?The fundamental frequency will be given as:
f = v/2L
Let the required length be represented as L2.
Therefore, f1/f2 = L1/L2
L2 = (294 × 0.69)/330
L2 = 0.61m
Therefore, the length will be 0.61m.
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How can the rebuttal best address the counterclaim? the rebuttal should include examples of jobs that are available to students and the problems associated with those jobs. the rebuttal should acknowledge that school remains a priority and discuss the benefits of a balance between school and work. the rebuttal should address the need for a discussion on the matter by restating both points before reaching a conclusion. the rebuttal should state a logical explanation for both opinions before granting credibility to the need for school to remain a priority.
Answer:
The rebuttal should acknowledge that school remains
a priority and discuss the benefits of a balance
between school and work.
Explanation:
Answer:
B. The rebuttal should acknowledge that school remains a priority and discuss the benefits of a balance between school and work.
Explanation:
edge 2022 <3