The domain is the set of all words in the English language that has a partial order relation and not a total order relation.
Given:
The domain is the set of all words in the English language (as defined by, say, Webster's dictionary.
Assume,
The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears as a substring of y. x is a substring of y if all the letters in x appear in consecutive order somewhere in y. For example, "logical" is a substring of "topological" because the letters l-o-g-i-c-a-l appear consecutively in the order of the word "topological". However, "local" is not a substring of "topological" because the letters l-o are separated from c-a-l by the letters g and i.
Now, x is related to y if x is a substring of y.
Considering the following points through the example:
(A) Clearly, x is a substring of itself. Therefore, x is related to x and hence it is called reflexive.
(B) If x is related to y or y is related to x then x =y and it is called antisymmetric.
(C) If x is related to y and y is related to û then we can say that x is related to û (i.e. if x is a substring of y and y is a substring of û then x is also inscribed in û. Hence, we called it transitive.
Hence, the order is not the total order relation. It is a partial order relation.
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The edges of three squares are joined together to form a right triangle with legs of lengths r and s and a hypotenuse of length t . what must be true
For the triangle to be true, the square of the hypothenuse is equal to sum of the square of the leg and the sum of the angles is equal to 180 degrees
Pythagoras TheoremThe Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC2². Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.
In this case, for the triangle to be true,
1. The sum of square of two sides (s) and (r) must be equal to the square of t
t² = s² + r²
2. The sum of angles in the right angle triangle must be equal to 180 degrees
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11. There is a $10 monthly membership fee to download music. There is
a $0.50 fee for each song downloaded.
a. Write a linear equation that models the cost of downloading x songs
per month.
b. Graph the equation.
c. What is the cost of downloading 15 songs?
Answer:
A) y=0.5x+10 C) 17.5 dollars (don't forget your units)
Step-by-step explanation:
a) 0.5 is the price paid per song, or x, and 10 is the price that does not change for a month, so we can say that y=0.5x+10
c) to download 15 songs, we substitute x by 15
y=0.5(15)+10
y=7.5 + 10
y=17.5
and for b, im sorry but I cannot graph here.
a car is purchased for . each year it loses of its value. after how many years will the car be worth or less? (use the calculator provided if necessary.)
Answer: I calculated the value after 5 years to be 5,734.40 or 5,734
Step-by-step explanation:
my regular recipe for cream of potato soup makes 50 8-ounce servings. i need to make potato soup for 200, but i want to increase the portion size to 12 ounces. what conversion factor should i use to adjust my recipe for the new amount?
The conversion factor you should use to adjust your recipe for the new amount is 6.
What is conversion factor?
A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value.
Equating the conversion factor :
Given: original serving = 50 8-ounce serving
required new serving = 200 12-ounce serving
To find: conversion factor?Original serving = 50×8 ounce = 400 ounce
Required serving = 200×12 ounce
= 2400 ounce
As we know, conversion factor = {Required Yield} ÷ {Original Yield}
∴ Conversion factor =2400 ÷ 400
∴ Conversion factor = 6
Conversion factor is greater than 1 when required yield is supposed to be greater than original yield and conversion factor is less than 1 when required yield is less than original yield.
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Which of the following is equal to √√√√5? (4 points)
O
O
O
O
53
1
56
2
53
3
N/W
52
Answer:
b
Step-by-step explanation:
find the temperature (in k) at which the root-mean-square speed of ch4 molecules is the same as the root-mean-square speed of o2 molecules at 448.8 k.
Temperature of ch4 will be 150K
given :-
[tex]\sqrt{2} speed of 02 = 448.8[/tex]
u.avg. = [tex]\sqrt{8rt/\pi m} \\[/tex]
u.avg ch4 = [tex]\sqrt{8rt1/\pi 16}[/tex]
hence , mass of ch4 = 12 +4 = 16
Methane (US: MEH-thayn, UK: MEE-thayn) is a chemical compound with the chemical formula CH4 (one carbon atom bonded to four hydrogen atoms). It is a group-14 hydride, the simplest alkane, and the main constituent of natural gas.
The molar mass of oxygen atom O
O
is 15.99
This is only the mass of 1 oxygen atom so the molar mass of oxygen molecule O is 15.99
is double the number, i.e. approximately 32
u.avgO2 = [tex]\sqrt{8r(300)/\pi (32)}[/tex]
u.avgch4 = u.avgo2
[tex]\sqrt{8rt1/\pi 16}[/tex] = [tex]\sqrt{8r(300)/\pi (32)}[/tex]
==> t1/16 = 300/32
==> t1 = 150 K
They have same average velocity when the temperature of CH4 is 150 K
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If a = 3 and b = 5, find a/(a+b)=.
Answer: 5/3 or 1.67
Step-by-step explanation:
A computer chess game and a human chess champion are evenly matched. They play fourteen games. Find probabilities for the following events.
(Round all answers to four decimal places.)
(a) They each win seven games. P =
(b) The human chess champion wins eleven games. P =
(c) The computer wins at least eleven games. P =
The probability that they each win six games is 0.225.
Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.
To find : The probability that they each win six games?
Applying binomial distribution,
Here n=12 and p=0.5
(a) They each win seven games. P =
[tex]P(X=k)=\frac{n !}{k !(n-k) !} \times p^k \times(1-p)^{n-k}[/tex]
The probability that they each win six games is k=6.
(b) The human chess champion wins eleven games. P =
[tex]\begin{aligned}& P(X=6)=\frac{12 !}{6 !(12-6) !} \times 0.5^6 \times(1-0.5)^{12-6} \\& P(X=6)=\frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 !}{6 \times 5 \times 4 \times 3 \times 2 \times 6 !} \times 0.015625 \times 0.015625 \\& P(X=6)=11 \times 2 \times 3 \times 2 \times 7 \times 0.015625 \times 0.015625 \\& P(X=6)=0.225\end{aligned}[/tex]
(c) The computer wins at least eleven games. P =
Therefore, The probability that they each win six games is 0.225.
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What is the equation in slope-intercept form of the line that passes through the point (8, - 7) and is parallel to the line represented by y = 6x + 2
A. Y=1/6x+55
B. Y=1/6x-55
C. Y=6x+55
D. Y=6x-55
Answer:
:Equation of line is[tex]y=1.2x+3.8[/tex]To find:The equation of line that passes through the point (5, 0) and parallel to the given line.
Step-by-step explanation:
help me i actually cant figure this out :(
To complete the square of the quadratic function x² + 10x + 4 we need to add 21
Completing The SquareCompleting the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. In simple words, we can say that completing the square is a process where consider a quadratic equation of the ax² + bx + c = 0 and change it to write it in the form a(x + p)² + q = 0. This method is generally used to find the roots of a quadratic equation.
Completing the square formula is a technique or method to convert a quadratic polynomial or equation into a perfect square with some additional constant. A quadratic expression in variable x: ax² + bx + c, where a, b and c are any real numbers but a ≠ 0, can be converted into a perfect square with some additional constant by using completing the square formula or technique
The equation given is
x² + 10x + 4 = 0
Take 4 to right side
x² + 10x = -4
rewrite in (x + a)² = b form
(x + 5)² = 21
x + 5 = ±√21
x = √21 - 5
x = -√21 - 5
To complete the square, we need to add 21
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describe the center and spread of the data using either the mean and standard deviation or median and iqr. describe how you determined which one to use.
For symmetric distributions without outliers, the mean should be used to get the measure of center.
What are the Center and Spread of the data?
The spread in the data measures how far the numbers in the data set are away from the mean and the center in the data measures the standard deviation.
To determine the measure of center for symmetric distributions without outliers, one should use the mean. They should use the median to determine the measure of center in all other situations. The range is a suitable metric for determining the spread of a distribution.
However, the interquartile range should be used when using the median as the measure of center, and the standard deviation should be used when using the mean as the measure of center.
Hence, For symmetric distributions without outliers, the mean should be used to get the measure of center.
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Please help ! Need to know what the answer is solve while using the Pythagorean theorem !
Answer:
y ≈ 16.12452
Step-by-step explanation:
Pythagorean theorem = a² + b² = c²
In this example, 14 = a, 8 = b, and y = c
14² = 196, 8² = 64
196 + 64 = 260 = y²
y² = [tex]\sqrt{260}[/tex] ≈ 16.12452
Please help me with this. It will be really appreciated <3!
Find the value of y
7 x 7 x 7 x 7 x 7 x 7 =7y
Thank you a lot if you do! This is no rush <3
Answer: y = 16807
Step-by-step explanation:
7 * 7 * 7 * 7 * 7 * 7 = 117649
7^16807 = 117649
Who were the Greek oligarchs?
Answer:
"Broadly speaking, an oligarchy is a form of government characterized by the rule of a few persons or families. More specifically, the term was used by Greek philosopher Aristotle in contrast to aristocracy, which was another term to describe rule by a privileged few."
Step-by-step explanation: I hope this helps with something
t would be appropriate to use a distribution to simulate customer arrival times at a bank or restaurant. a. exponential b. normal c. poisson d. weibull e. uniform
t-distribution in the bank or restaurant to get the customer arrival time is a b) normal distribution.
The t-distribution is defined by degrees of freedom. These are related to sample size. The t distribution is most useful when the sample size is small, the population standard deviation is unknown, or both. As the sample size increases, the t-distribution will become more normal.
The t distribution is the continuous probability distribution of z scores when the estimated standard deviation is used in the denominator instead of the true standard deviation. The purpose of the t-test is to compare a specific characteristic that describes the groups, and the means will be representative of the populations that are normally distributed.
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He brightness of some stars can fluctuate over time. Suppose that the brightness of a certain star can be modeled by the following: B(t) = 7. 8 + 10. 8sin((2pi/63)t) In this equation, B(t) represents the magnitude of brightness, and t is the time (in days). Suppose we start at t = 0 days. During the first 63 days, when will the star's magnitude of brightness be 13? Do not round any intermediate computations, and round your answer(s) to the nearest day. Please especially explain the portion when calculating arcsin - thanks!
The days needed are 5 days
What is the rate of decay?The reduction in radioactive nuclei per unit of time is the rate of decay, or activity, of a sample of a radioactive substance.
How is the decay rate calculated?The rate of change is determined by the equation dN/dt = N, where is the decay constant, assuming N is the size of a population of radioactive atoms at a given time t and dN is the amount by which the population decreases in time dt.
What is the decay factor?Exponential decay is the opposite of exponential growth; it has a constant multiplier that is less than 1 when a quantity decreases by the same amount over equal intervals of time. This quantity also referred to as the decay factor, can be written as (1-r).
From the above question
B= 7.8+10.8sin((2pi/63)t)
B=13=7.8+10.8 sin((2pi/63)t)
sin((2pi/63)t)=13/27
(2pi/63)t=sin(13/27)=0.502344 radians
t=5 days
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in 2006, 68.1 million people subscribed to cable television. in 2013, that number had decreased to 57.1 million. find the percent decrease in the number of cable tv subscribers from 2006 to 2013.
The percent decrease in the number of cable TV subscribers from 2006 to 2013 is 17.92%.
In the given question, in 2006, 68.1 million people subscribed to cable television. in 2013, that number had decreased to 57.1 million.
We have to find the percent decrease in the number of cable TV subscribers from 2006 to 2013.
The number of subscriber in 2006 is 68.1 million.
The number of subscriber in 2013 is 57.1 million.
Then the percent decrease in the number of cable tv subscribers from 2006 to 2013 is
Percent decrease in the number of cable TV subscribers = (subscriber in 2006 - subscriber in 2006)/subscriber in 2006 *100
Percent decrease in the number of cable TV subscribers = (61.4-50.4)/61.4 *100
Percent decrease in the number of cable TV subscribers = 11/61.4 *100
Percent decrease in the number of cable TV subscribers = 0.1792*100
Percent decrease in the number of cable TV subscribers = 17.92%
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A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d. What property does dˆ exhibit?.
The statistic's bias is a quality that the statistic does not display, according to the Central Limit Theorem for proportions.
Central limit theorem:
According to the central limit theorem in statistics, samples will be normally distributed and their means will be roughly equal to those of the entire population when the big sample size has a finite variance.
Given,
A certain statistic The population parameter d is being estimated using the function d. D's predicted value is not the same as D.
Find the property that does d display in this case.
According to the Central Limit Theorem, the following is true for a proportion p in an n-person sample:
Value anticipated, μ = p
Standard deviation: s = √p(1 - p) /n
Therefore,
The statistic is biased because the expected value in this case differs from the expected.
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is it possible for two quantities to (a) have the same units but different dimensions or (b) have the same dimensions but different units? explain.
If two quantities have same units, they will be comprised of the same basic physical quantities and hence their dimensions will be same. Same dimensions do not represent the same physical quantity. For example, The kinetic energy and the potential energy are measured in the same units but they possess different physical quantities.
What is dimensions?The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics. As a result, a line has a dimension of one because a point on it can be specified by a single coordinate, such as the point at 5 on a number line.
Two quantities with the same units will be made up of the same fundamental physical quantities, resulting in identical dimensions. The same physical quantity does not have the same dimensions. For instance, although having different physical properties, kinetic energy and potential energy are measured in the same units.
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Amira is solving the equation x2 - 6x - 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than 78. A) 0.0103 B) 0.0008 C) 0.8962 D) 0.0036
The correct answer is b that is the probability that the mean of their test scores is greater than 78 is 0.0008.
What is Probability?The field of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number that lies between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The probability is calculated on dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas where odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
mean, μ = 73
standard deviation σ =7.8
η = 24
P (X*=78)
P( Z>3.1403)
Hence, the probability that the mean of their test scores is greater than 78 is 0.0008.
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please solve this quadratic inequality:
x^2+10x+16>-5
Answer: x<-7 or x>-3
Step-by-step explanation: Tell me if its wrong ill fix it
answer:
x>-7, x>-3
step-by-step explanation:
- the first step would to be to add five to both sides: x^2+10x+21>0
- then you can solve be grouping which results in: (x+7)(x+3)>0
- the final answer will be: x>-7, x>-3
hope that helps!
What’s y=-3(x-1)2 squared +3 in factored form
Answer: y=−16.309691adqrsux+16.309691adqrsu+3
Let's solve for y.
y=((((((((−3(x−1))(2))(s))(q))(u))(a))(r))(2.718282))(d)+3
This is the best I could come up with
How do you write as a percentage?
39
100
The percentage of 39/100 can be written as 39% as given in the question.
What is meant by percentage?A percentage is a figure or ratio stated as a fraction of 100. The abbreviations "pct.", "pct," and "pct" are also used. A% is a dimensionless (pure) number with no unit of measurement.
The word "percent" comes from the Latin per centum, which means "hundred" or "by the hundredth." The symbol for "percent" emerged gradually from the Italian expression per cento. The "cento" symbol was developed from two circles divided by a horizontal line.
As money denominations expanded in the Middle Ages, computations with a denominator of 100 were increasingly prevalent, to the point where it became normal for mathematics texts to incorporate such computations from the late 15th to the early 16th centuries
We write 39/100 in the percentage as 39%
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A school is arranging a field trip to the zoo. The school spends 778.72 dollars on passes for 29 students and 2 teachers. The school also spends 259.26 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
Step-by-step explanation:
first, you have to divide the total cost of the passes by the number of teachers and students combined. Then you must multiply the individual cost of the pass by the number of students. Finally, you have to take the total cost for student passes and add it to the cost of the lunches, then you answer.
Use the slope formula to determine the slope of a line that passes through the points (-5,-3) and (9,-10)
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1
-10-(-3)/9-(-5)=-7/14=-1/2
Select the correct answer.
Which graph shows a quadratic equation with complex roots?
Answer:
Step-by-step explanation:
GraphA shows the quadratic equation with complex roots.
Answer:
Step-by-step explanation:
The angles of a triangle add up to 180 degrees. The second angle is 6 degrees larger than the smallest angle. The third angle is 4 times as big as the smallest angle. Find the measure of the smallest angle (in degrees) degrees
Which of these relations is a function?
By using the vertical line test we will see that the relation that is a function is the one in the top left graph.
Which of these relations is a function?Here we ave the graphs of some relations, and we want to see which one of these represents a function.
To check that, we need to do the vertical line test.
The test says that if we draw a vertical line on the coordinate axis, and that line intercepts the graph of the relation more than one time, then the relation is not a function.
With that test we can see that the only relation that is a function is the one in the top left graph, is the only one that passes the vertical line test.
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find the value of m n (4x-33) (3x+30)
Answer: 4(x + y) = 4x + 4y 2(3x + 4) = 2(3x) + 2(4) = 6x + 8
Step-by-step explanation: