Determine whether the relation R on the set of all people is reflexive, symmetric, antisymmetric, and/or transitive, where (a, b) ∈R if and only if a has the same first name as b. (Check all that apply.) Check All That Apply transitive reflexive symmetric antisymmetric

The answer

Is 38.74

Look at the solution in the paper.

It's get the missed angles and apply the formula that says

In a triangle

Side / Sin(angle opposite to the side)

=

Another side / Sin(angle opposite to that side)

The product of (x + 3)² demonstrates the closure property of multiplication. \(\rm x^{2} + 6x + 9\) is a polynomial. Option D is correct.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

A set is closed under an operation when we do that operation on the member of the set and we always get a set member.

Given

An expression is (x + 3)²

On simplifying, we have

\(\rm (x + 3)(x + 3)\\\\x (x + 3) + 3 (x + 3)\\\\x^{2} +3x +3x +3^2\\\\x^{2} +6x + 9\)

Thus, \(\rm x^{2} + 6x + 9\) is a polynomial.

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Answer:

Option D

Step-by-step explanation:

The system of equations that can model this situation is:2a + 4k = 70.907a + 3k = 139.80

Let a = the cost of one adult ticket and k = the cost of one kid ticket. To write a system of equations that can model the given situation, consider the following steps:

Step 1: Write an equation for the first group that paid $70.90.We know that the first group consists of 2 adults and 4 kids. Therefore, the total cost for the first group can be expressed as:2a + 4k = 70.90This equation represents the cost of 2 adult tickets and 4 kid tickets.

Step 2: Write an equation for the second group that paid $139.80.We know that the second group consists of 7 adults and 3 kids. Therefore, the total cost for the second group can be expressed as:7a + 3k = 139.80.This equation represents the cost of 7 adult tickets and 3 kid tickets.

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Answer:

-3

Step-by-step explanation:

Assuming the expression is -x+2 answered in your previous question, we evaluate it as follows when x=5,
-x+2
-5+2
-3

Answer:

$19.99 for each cartridge.

Step-by-step explanation:

For this problem, we are finding the cost of the three printer cartridges. Since the problem says that the tax was 5.95, we can subtract that from 90.91.

90.91-5.95=

84.96

Next, since we know that the software package was 24.99, we can subtract that from 84.96.

84.96-24.99=

59.97

Finally, since there are three printer cartridges, we can divide 59.97 by 3, and get our answer.

59.97/3=

19.99

Each printer cartridge would cost $19.99.

Hope this helps and have a good day! :D

Answer:

x= 83y−17 and y= 83x+17

​

hope it helps

it is 31. i hope this helped you!

Answer:59

Step-by-step explanation:

Answer:

50% off of y

Step-by-step explanation:

By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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Answer:

h(x) = x^3

A function has an inverse that is also a function is it is a one-to-one function, a function is one-to-one if each value in the domain is linked to only one value in the range, and if each value in the range is linked to only one value in the domain.

Then, a function that is monotonous growing is always one to one, and a function is monotonous growing if the derivative is positive for all the values of x

The derivative of x^3 is:

h'(x) = 3*x^2

and as you know, x^2 is always equal or greater than zero, so h(x) = x^3 is monotonous growing, then it has a inverse that is also a function.

Answer:

Point Form:

(

−

13

4

,

−

7

4

,

1

)

Equation Form:

x

=

−

13

4

,

y

=

−

7

4

,

z

=

1

Step-by-step explanation:

Answer:

the answer is c, 25.

Step-by-step explanation:

From the sampling distribution we know:

a. will become more variable as the sample size increases.

A sampling distribution is the probability distribution of a statistic that was acquired from more samples taken from a certain population. The distribution of frequencies for a variety of potential outcomes that could happen for a population statistic makes up the sampling distribution of a specific population.

When it comes to the spread of all sample proportions, theory predicts behaviour far more accurately than just stating that larger samples have a smaller spread. In actuality, the sample size, n, and the standard deviation of each sample proportion.

Thus, option (a) correctly describe about sampling distribution of the sample proportion.

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The required number is 94.

Let the digit on unit's place be 'x'

Digit on ten's place be 'y'

Therefore,

Original number = 10y + x

Given, the sum of the digits = 11

=> x + y = 11 →(I)

When the digits are reversed, new number = 10x + y

Therefore,

(10y + x) - (10x + y) = 63

10y + x - 10x - y = 63

9y - 9x = 63

=> y - x = 7 →(II)

Adding (I) and (II) we get

2y = 18

y = 9

Substituting the value of y in (I) we get

x + 9 = 11

x = 2

Therefore,

Original number = 10y + x = 10(9) + 4 = 94

The required number is 94.

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Answer:

Step-by-step explanation: What you should do is multiply the answer then add it. 4x6 = 24 4+6=10

so add 24 + 10 and that will equal 34.

Answer:

1.72 ≤ t ≤ 1.85

Step-by-step explanation:

Given :

Distance = 100 miles ;

Speed = 56 miles per hour, to the nearest 2 miles per hour

Hence, the speed range is :

(56 - 2) mph ; (56 + 2) mph

Range of possible Time taken, t :

Distance / speed ;

100 / 58 ≤ t ≤ 100 / 54

1.72 ≤ t ≤ 1.85

The range of the data provided in the boxplot given the minimum number and the maximum number is 2.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines known as the whiskers and a box. The left whisker represents the lowest number in the dataset. The right whisker represents the highest number in the dataset. The difference between these numbers is the range.

The box can be used to determine the first quartile, median and the third quartile. These values can be determined using the lines on the box.

The range of a data set is the difference between the highest number and the lowest number. Range is used to measure the variance of a dataset.

Range = highest number - lowest number

7.5 - 5.5 = 2

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The fractions in the simplest form is: = -73/24.

Given the expression involving fractions, -7/8 + (-2⅙), we would solve as shown below:

-7/8 + (-2⅙)

Convert the mixed fraction to improper fraction

= -7/8 + (-13/6)

Distribute to eliminate the parentheses

= -7/8 - 13/6

= (-21 - 52)/24

= -73/24

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The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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Answer:

x = 122°

Step-by-step explanation:

There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .

Exterior angle is an angle formed from one side of the polygone and the extended side so

<A and <B are remot angle and <BCD is exterior angle .

And we write the equetion as

<A + <B = <BCD

58° + 64° = x°

122° = X°

so the exterior angle ( x ) measures 122° .

Answer:

2ab³

Step-by-step explanation:

evaluate the radical inside the parenthesis

\(\sqrt[3]{64a^6b^{18} }\)

= \(\sqrt[3]{64}\) × \(\sqrt[3]{a^6}\) × \(\sqrt[3]{b^{18} }\)

= 4 × a² × \(b^{6}\)

= 4a²\(b^{6}\)

note that \(a^{\frac{1}{2} }\) = \(\sqrt{a}\)

then

\(4a^2b^6)^{\frac{1}{2} }\)

= \(\sqrt{4}\) × \(\sqrt{a^2}\) × \(\sqrt{b^6}\)

= 2 × a × b³

= 2ab³

Answer:

6/14 or in its simplest form 3/7

The solution to the given matrix of system of equations is:

x = -5/13

y = 4/13

z = 6/13

To solve the system of equations using the inverse of the coefficient matrix, we first need to write the system in matrix form:

= \(\begin{pmatrix}6 & 2 & 9\7 & 6 & -6\5 & -4 & 3\end{pmatrix}\begin{pmatrix}x\y\z\end{pmatrix}\)

= \(\begin{pmatrix}13\6\15\end{pmatrix}\)

The coefficient matrix is:

\(A = \begin{pmatrix}6 & 2 & 9\7 & 6 & -6\5 & -4 & 3\end{pmatrix}\)

The inverse of the coefficient matrix, if it exists, is given by:

\(A^-1 = \frac{1}{|A|} \{A_{22}A_{33}-A_{23}A_{32} & A_{13}A_{32}-A_{12}A_{33} & A_{12}A_{23}-A_{13}A_{22} \A_{23}A_{31}-A_{21}A_{33} & A_{11}A_{33}-A_{13}A_{31} & A_{13}A_{21}-A_{11}A_{23} \A_{21}A_{32}-A_{22}A_{31} & A_{12}A_{31}-A_{11}A_{32} & A_{11}A_{22}-A_{12}A_{21}}\end{pmatrix}\)

where |A| is the determinant of A, and Aij is the (i,j)-th minor of A, obtained by deleting the i-th row and j-th column of A.

Using a calculator, we can find the determinant of A:

|A| = 6(6×3+6×(-4))-2(7×3+5×(-6))+9(7×(-4)-6×5) = -607

Since the determinant is nonzero, the inverse of A exists. We can then calculate the inverse using the formula above:

A^-1\(= \frac{1}{-607} \(6×3+6×(-4)) & (9×(-4)-6×5) & (2×5-(-4)×9) \(7×3+5×(-6)) & (3×6-(-6)×5) & (-7×2+6×7) \(5×(-4)-(-4)×(-6)) & (2×(-6)-5×(-9)) & (6×(-5)-2×7)}\\)

\(= \begin{pmatrix}-\frac{10}{101} & \frac{73}{202} & -\frac{49}{202} \-\frac{67}{303} & \frac{9}{101} & \frac{4}{101} \\frac{8}{101} & -\frac{17}{202} & -\frac{43}{202}\end{pmatrix}\)

Now, we can find the solution vector x by multiplying both sides of the matrix equation by A^-1:

\(\begin{pmatrix}x\y\z\end{pmatrix}= A^-1 \begin{pmatrix}13\6\15\end{pmatrix}\\\)

= \(\begin{pmatrix}-\frac{10}{101} & \frac{73}{202} & -\frac{49}{202} \ -\frac{67}{303} & \frac{9}{101} & \frac{20}{101} \ \frac{32}{303} & -\frac{7}{101} & \frac{23}{101}\end{pmatrix}\begin{pmatrix}13 \ 6 \ 15\end{pmatrix}\)

= \(\begin{pmatrix}-\frac{5}{13} \ \frac{4}{13} \ \frac{6}{13}\end{pmatrix}$\)

Therefore, the solution to the system of equations is:

x = -5/13

y = 4/13

z = 6/13

We can check that this solution is correct by substituting these values into each of the original equations and verifying that they are satisfied.

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Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5

Step-by-step explanation:

= 3+3x-1+3x^4 , g(x) = -x^3+x^2-x+2-x^4. tính f(x)+g(x) và f(x) -g(x)