For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.(a)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 before y in alphabetical order. Assume that each word appears exactly once in the dictionary.

Answer:

i think the answer is 1 1/8 (or 1.125)

Step-by-step explanation:

1. -3/8 / -1/3 = 3/8 * 3/1 = 9/8

2.Simply this improper fraction to a mix number

9/8 = 1 1/8 (and since 1 is going into the 9,8 it cannot be reduced further)

3rd 1 1/8 is recognized as 1.125

Answer:

11/13

Step-by-step explanation:

3/13, 5/13, 7/13, 9/13, 11/13

3/13

3/13 + 2/13 = 5/13

5/13 + 2/13 = 7/13

7/13 + 2/13 = 9/13

9/13 + 2/13 = 11/13

The amount of heat released when 12.0g of helium gas condense at 2.17 K is; -250 J

The latent heat of vapourization of a substance is the amount of heat required to effect a change of state of the substance from liquid to gaseous state.

However, since we are required to determine heat released when the helium gas condenses.

The heat of condensation per gram is; -21 J/g.

Therefore, for 12grams, the heat of condensation released is; 12 × -21 = -252 J.

Approximately, -250J.

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Answer:

its a

Step-by-step explanation:

To solve the equation log4​^x−log4​^5=log4​^20, we can use the logarithmic property that states that the difference of the logarithms of two numbers with the same base is equal to the logarithm of the quotient of the two numbers.

Applying this property, we get:
log4​^x/log4​^5 = log4​^20
Simplifying the left-hand side using the logarithmic property that states that the logarithm of a power of a number with the same base is equal to the power times the logarithm of the number, we get:
log4​^(x/5) = log4​^20
Now we can solve for x/5 by equating the logarithmic expressions on both sides:
x/5 = 20
Multiplying both sides by 5, we get:
x = 100
Therefore, the solution to the equation log4​^x−log4​^5=log4​^20 is x = 100.
To solve the equation log4(x) - log4(5) = log4(20), we can use the logarithm properties. According to the properties of logarithms, loga(m) - loga(n) = loga(m/n). So, we can rewrite the equation as:
log4(x/5) = log4(20)
Since the bases (4) are the same, we can set the arguments (x/5 and 20) equal to each other:
x/5 = 20
Now, solve for x:
x = 20 * 5
x = 100
So, the solution to the equation is x = 100.

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To ensure that the function f(x) is continuous at every 'x', we need to make sure it's continuous at the point x = 3. For a function to be continuous, the left-hand limit, right-hand limit, and the function value at the point should all be equal. Let's evaluate the limits:

1. Left-hand limit (x < 3): lim(x->3-) f(x) = lim(x->3-) x^2 = 3^2 = 9
2. Right-hand limit (x ≥ 3): lim(x->3+) f(x) = lim(x->3+) 2ax = 2a(3) = 6a
3. Function value at x = 3: f(3) = 2a(3) = 6a

For f(x) to be continuous, the left-hand limit, right-hand limit, and function value at x = 3 must be equal:

9 = 6a

To solve for 'a', divide both sides by 6:

a = 9/6 = 3/2

So, the value of 'a' that makes f(x) continuous at every 'x' is 3/2.

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Answer:

r = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the circle and r is the radius

(x - 2)² + y² = 16 ← is in standard form

with

r² = 16 ( take square root of both sides )

r = \(\sqrt{16}\) = 4

Answer:

Here is the solution solution-

(-15x+6y)-(-10x+7y)

= -15x+6y+10x-7y

= (-15x+10x)+(6y-7y)

= -5x-y

Answer:

1. c=1

2.y=2

3.a=4

4. m=10

5. x=2

6. q=11

7.n=39

8. r=17

9. t=14

10. p=5

Step-by-step explanation:

1. 9c=9

c=1

2. 6y=12

y=2

3. 3a=12

a=4

4. m/5=2

m=10

5. 7x=14

x=2

6. -q=-11

q=11

7. n-31=8

n=39

8. 2r=34

r=17

9. 3t=42

t=14

10. 4p=20

p=5

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

13

Step-by-step explanation:

Multiply 16 by 12 = 192
Add 3 = 195
80% Of 195 = 156
156 / 12 = 13
13 feet

\(\stackrel{Plant~A}{\cfrac{16}{3}}\qquad \qquad \stackrel{\textit{Plant C is }\frac{4}{5}\textit{ as tall as A}}{\cfrac{16}{3}\cdot \cfrac{4}{5}\implies \cfrac{64}{15}}\implies 4\frac{4}{15}\)

Answer:

700,000 is 1000 times as much as 700

Step-by-step explanation:

700,000 divided by 700 is 1000

Answer:

The answer wouldn't be 100 but it would be 1000

Hoped I helped

In a triangle one side that lies on an extended line segment,  statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒  Y + 147 = 180

⇒  Y  = 180 - 147

⇒  Y = 33

sum of all the interior angles of the triangle is 180°

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

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Answer:

\(x=\Large\boxed{17}\)

\(AC=\Large\boxed{47}\)

Step-by-step explanation:

Given information

\(AC+CB=AB\)

\(AC=3x-4\)

\(CB=x-2\)

Requirement of the question

\(\text{--Determine the value of x}\)

\(\text{--Determine the value of AC}\)

Given equation

\((3x-4)+(x-2)=62\)

Combine like terms

\(3x-4+x-2=62\)

\(3x+x-4-2=62\)

\(4x-6=62\)

Add 6 on both sides

\(4x-6+6=62+6\)

\(4x=68\)

Divide 4 on both sides

\(4x\div4=68\div4\)

\(x=\Large\boxed{17}\)

Substitute the value into the expression for AC

\(AC=3(17)-4\)

\(AC=51-4\)

\(AC=\Large\boxed{47}\)

Hope this helps!! :)

Please let me know if you have any questions

When given the average number of surface defects per panel as 0.8, Poisson distribution should be used to find the probability of 2 defects on a randomly selected panel. So, the correct answer is A.

Poisson distribution is a statistical probability that indicates how many times an event is likely to occur in a specified time period. The distribution gives an estimate of how rare or common an event is likely to occur in a specified time period. This distribution is commonly used in business, engineering, and finance.

The Poisson distribution is also useful in situations where the number of events is rare but the frequency of occurrences is high.

The formula for the Poisson distribution is:

P(X=x)= (e^−λλ^x)/x!

Where:

λ = the mean number of events (λ > 0)

x = the number of events that occurred in a specific time period

x! = x factorial.

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The limit is: lim t → [infinity] t (t^2)/(9t - t^2) = 8

To find the limit of the expression as t approaches infinity, we can use the concept of asymptotes and dominant terms.

First, we can simplify the expression by factoring out t^2 from the numerator:

t^2(9 - 1)

Simplifying the expression further, we get:

8t^2 / t^2

which simplifies to:

8

Therefore, the limit of the expression as t approaches infinity is 8.

So, the answer is:

lim t → [infinity] t (t^2)/(9t - t^2) = 8

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Check the picture below.

\(\cfrac{\sin(15^o)}{9}=\cfrac{\sin(B)}{12}\implies \cfrac{12\sin(15^o)}{9}=\sin(B)\implies \sin^{-1}\left( \cfrac{12\sin(15^o)}{9} \right)=B \\\\\\ 20.19^o\approx B\hspace{12em}\stackrel{180-20.19-15}{C\approx 144.81^o} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin(15^o)}{9}=\cfrac{\sin(144.81^o)}{c}\implies c=\cfrac{9\sin(144.81^o)}{\sin(15^o)}\implies \boxed{c\approx 20.0}\)

2 is the only prime number that is even. Therefore, this is the only counter example for the problem. 2 is a prime number because the only factors is 2 and itself (2n = 2*1 = 2).

Best of Luck!

Answer:

Step-by-step explanation:

We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:

\(-x^2+2x=-1\) and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:

\(-1(x^2-2x)=-1\) Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:

\(-1(x^2-2x+1)=-1-1\)

On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:

\(-1(x-1)^2=-2\) and we can move that constant back over and set the quadratic back equal to y:

\(y=-1(x-1)^2+2\)  which gives us a max height of 2.

(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))

There is a difference in the average salary among the three racial groups being studied.

A study was conducted comparing the average salary for Blacks, Whites, and Hispanics, using random samples of 10 people in each racial group. The standard deviations of the groups were quite different.

To determine if there is a significant difference in salaries among these racial groups, the following steps can be taken:

1. Calculate the mean salary for each racial group (Blacks, Whites, and Hispanics) using the data from the random samples.

2. Calculate the variance and standard deviation for each group's salary to understand the spread of data within each group.

3. Perform an analysis of variance (ANOVA) test, which helps in comparing the means of multiple groups (in this case, the three racial groups). This test will indicate whether there is a significant difference in the mean salaries of the groups.

If the results of the ANOVA test show a significant difference, it means there is a difference in the average salary among the three racial groups being studied.

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The interaction terms X × Z and Y × Z allow for the possibility that the effect of X and Y on E(y) varies depending on the value of Z.

An interaction model relating the mean value of y, E() to á.

two quantitative independent variables and three quantitative independent variables are explained below:

Two Quantitative Independent Variables:

The two independent variables, X and Z, can be included in the interaction model relating the mean value of y, E() to á as follows:

E(y) = β0 + β1X + β2Z + β3(X × Z)

Where β0 is the intercept of the regression equation, β1 is the coefficient of X, β2 is the coefficient of Z, and β3 is the coefficient of the interaction term X × Z.

The mean value of y, E(), is expected to increase by β1 units for a one-unit increase in X, holding Z constant, and to increase by β2 units for a one-unit increase in Z, holding X constant.

The interaction term X × Z allows for the possibility that the effect of X on E(y) varies depending on the value of Z, and vice versa.

Three Quantitative Independent Variables: The three independent variables, X, Y, and Z, can be included in the interaction model relating the mean value of y, E() to á as follows:

E(y) = β0 + β1X + β2Y + β3Z + β4(X × Y) + β5(X × Z) + β6(Y × Z)

Where β0 is the intercept of the regression equation, β1 is the coefficient of X, β2 is the coefficient of Y, β3 is the coefficient of Z, β4 is the coefficient of the interaction term X × Y, β5 is the coefficient of the interaction term X × Z, and β6 is the coefficient of the interaction term Y × Z.

The mean value of y, E(), is expected to increase by β1 units for a one-unit increase in X, holding Y and Z constant, and to increase by β2 units for a one-unit increase in Y, holding X and Z constant.

The effect of Z on E(y) is given by the coefficient β3, while the interaction term X × Y allows for the possibility that the effect of X on E(y) varies depending on the value of Y, and vice versa.

The interaction terms X × Z and Y × Z allow for the possibility that the effect of X and Y on E(y) varies depending on the value of Z.

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Answer:

w = 0

Step-by-step explanation:

(3.2 + 3.3 + 3.5)w = w , that is

10w = w ( subtract w from both sides )

9w = 0 , then

w = 0

Answer:

A

Step-by-step explanation:

rate of change of table is 10     equation is 6

Answer: = 16

Step-by-step explanation: Hope this help :D

Answer:

3

Step-by-step explanation:the diameter is twice as long as the radius, therefore you need to half the diameter for the radius

Answer:

3

Step-by-step explanation:

\(r=\frac{d}{2}\), where r is the radius and d is the diameter. Since the diameter is 6, \(\frac{6}{2} =3\), which means the radius is 3.

Answer:

1.03% of 0.054=0.0005562

To find σg(X)^2, we need to calculate the variance of the function g(X) = 4X^2 + 2, where X is a random variable with a given density function. The density function is defined as f(x) = (3/2)(x + 1) for 0 ≤ x and 0 elsewhere. By calculating the variance of g(X), we can determine the value of σg(X)^2.

To calculate the variance of g(X), we first need to find the mean of g(X), denoted as E[g(X)]. For a continuous random variable, the mean is calculated as the integral of the function multiplied by the density function. In this case, we have:

E[g(X)] = ∫(4X^2 + 2) * f(x) dx

Substituting the given density function, we have:

E[g(X)] = ∫(4X^2 + 2) * (3/2)(X + 1) dx

After simplifying and evaluating the integral, we can find the value of E[g(X)].

Next, we calculate the variance of g(X), denoted as Var[g(X)]. The variance is calculated as the expectation of the squared difference between g(X) and its mean, E[g(X)]^2. In mathematical terms:

Var[g(X)] = E[(g(X) - E[g(X)])^2]

By substituting the values of g(X) and E[g(X)], we can evaluate this expression and find the value of Var[g(X)].

Finally, to find σg(X)^2, we take the square root of Var[g(X)], i.e., σg(X) = √Var[g(X)]. After calculating Var[g(X)], we can determine the value of σg(X) to three decimal places as needed.

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a) The plane must descend about 19,860.58 feet to pass over the tower.  b)  To fly 1000 feet above the tower, the plane must fly at an altitude of 1139.42 feet.

a) To find the height of the tower, we can use the tangent function in trigonometry.

Let's call the height of the tower "h".

We know that:

tan(1°) = h / 25000

Solving for h, we get:

h = 25000 * tan(1°)

Using a calculator, we find that:

h ≈ 139.42 feet

So the tower is about 139.42 feet tall.

To pass over the tower, the plane must rise an additional 139.42 - 20,000 = -19,860.58 feet.

That is, the plane must descend about 19,860.58 feet to pass over the tower.

b) To fly 1000 feet above the tower,

The plane must fly at an altitude of 139.42 + 1000 = 1139.42 feet.

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Answer:

u = 29

Step-by-step explanation:

Solve for u:

8 (4 u - 1) - 12 u = 11 (2 u - 6)

8 (4 u - 1) = 32 u - 8:

(32 u - 8) - 12 u = 11 (2 u - 6)

Grouping like terms, 32 u - 12 u - 8 = (32 u - 12 u) - 8:

((32 u - 12 u) - 8) = 11 (2 u - 6)

32 u - 12 u = 20 u:

20 u - 8 = 11 (2 u - 6)

Expand out terms of the right hand side:

20 u - 8 = (22 u - 66)

Subtract 22 u from both sides:

(20 u - 22 u) - 8 = (22 u - 22 u) - 66

20 u - 22 u = -2 u:

-2 u - 8 = (22 u - 22 u) - 66

22 u - 22 u = 0:

-2 u - 8 = -66

Add 8 to both sides:

(8 - 8) - 2 u = 8 - 66

8 - 8 = 0:

-2 u = 8 - 66

8 - 66 = -58:

-2 u = -58

Divide both sides of -2 u = -58 by -2:

(-2 u)/(-2) = (-58)/(-2)

(-2)/(-2) = 1:

u = (-58)/(-2)

The gcd of -58 and -2 is -2, so (-58)/(-2) = (-2×29)/(-2×1) = (-2)/(-2)×29 = 29:

Answer: u = 29

Answer:

29

Step-by-step explanation:

To solve the equation for u, we need to get all the terms with u on one side of the equation and all the other constants on the other side. We can start by distributing the constants on the left side of the equation:

8(4u - 1) - 12u = 11(2u - 6)

8(4u - 1) - 12u = 22u - 66

32u - 8 - 12u = 22u - 66

20u - 8 = 22u - 66

Then we can combine like terms:

20u = 22u - 58

2u = 58

u = 29

The solution for u is 29.