x2 + 8x + 4 = 0
please help

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer:

5c2 + 3c + 9

Step-by-step explanation:

The z-scores for which 50% of the distribution's area lies between -z and z are: z = -0.675 and z = 0.675.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The normal distribution is symmetric, meaning that the middle 50% of the scores is given between these following percentiles:

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The pH of the solution of 0.400 M CH3NH2 containing 0.300 M CH3NH3I is approximately 9.17.

pH is a measure of how acidic or basic an aqueous solution is.

The acidity or basicity of an aqueous solution is indicated by the pH value.

pH is defined as the negative logarithm of the hydrogen ion concentration of a solution.PH = - log [H+]

According to the equation, pH is directly proportional to the negative log of hydrogen ion concentration.

As a result, as the concentration of H+ ions decreases, the pH of the solution increases.

Here, the given values are, Concentration of CH3NH2, C1 = 0.400 MConcentration of CH3NH3I, C2 = 0.300 Mkb of CH3NH2 = 4.4 × 10⁻⁴

We know that, The Kb expression is given as: Kb = [CH3NH2][OH-] / [CH3NH3+]

Now we can get [OH-] as follows: [OH-] = Kb [CH3NH3+] / [CH3NH2]

By substituting the given values in the above equation, we get,[OH-] = (4.4 × 10⁻⁴)(0.300) / 0.400 = 3.3 × 10⁻⁴MWe know that, pOH = -log[OH-]

By substituting the given value in the above equation, we get:pOH = -log (3.3 × 10⁻⁴) = 3.48Finally, we can calculate pH by the equation:

pH + pOH = 14pH = 14 - pOH= 14 - 3.48= 10.52 (approx)

Therefore, the pH of the solution of 0.400 M CH3NH2 containing 0.300 M CH3NH3I is approximately 9.17.

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Answer:

is this the full question?

Step-by-step explanation:

Answer:

The last option:  \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Step-by-step explanation:

Main concepts:

Concept 1. Parts of a Radical

Concept 2. Radicals as exponents

Concept 3. Exponent properties

Concept 4. How to simplify a radical

Concept 1. Parts of a Radical

Radicals have a few parts:

If the index isn't shown, it is the default index of "2".  This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.

In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.

Concept 2. Radicals as exponents

For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical.  In equation form:

\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)

So, the original expression can be rewritten as follows:

\(\sqrt[4]{81x^{18}y^{6}}\)

\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)

Concept 3. Exponent properties

There are a number of properties of exponents:

Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...

\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)

Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)

Reducing those fractions, (both the numerators and denominators have a factor of 2)...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)

Rewriting the exponent of the "81" back as a radical...

\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Concept 4. How to simplify a radical

For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.

In our case, the index is 4.  So, we're looking for a number that when multiplied together four times, gives a result of 81.

One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).

Note that 81 factors into 9*9, which further factors into 3*3*3*3

This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:

\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)

So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

This is the last option for the multiple choice.

Answer:

10 minutes

Step-by-step explanation:

if 70 words = 1minute

862 words will be 862÷70=12.31 minutes

1,562 words will be 1562÷70=22.31 minutes

time needed to finish will be 22.31-12.31= 10 minutes

So the total time needed to finish will be 10 minutes

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

\((9x+6)+(74)+(16x)=180\\\)

Let’s solve for x:

Combine LIke Terms:

\((9x+16x)+(74+6)=180\)

Add:

\(25x+80=180\)

Subtract 80 from both sides:

\(25x=100\)

Divide both sides by 25:

\(x=4\)

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

\(\angle A=9x+6\)

Substitute 4 for x and evaluate:

\(\angle A=9(4)+6=36+6=42\textdegree\)

Hence, our answer is D.

Taking into account the definition of a system of linear equations, the textbook store sold 141 math textbooks and 282 psychology textbooks.

A system of linear equations is a set of linear equations (that is, a system of equations in which each equation is of the first degree) in which more than one unknown appears.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

p + m= 423

p=2m

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

2m + m= 423

3m=423

m= 141

Substituting this value in the second equation you get:

p= 2m

p= 2×141

p= 282

Finally, 141 math textbooks and 282 psychology textbooks were sold by the textbook store.

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The value assigned to the variable iResult as a result of the statement int iResult = 10 + 56 / 5 + 3 % 12; will be 11.

To understand how this value is determined, let's break down the statement step by step:

1. 56 / 5 is the first operation. The division operation `/` calculates the quotient of 56 divided by 5, which is 11.

2. Next, we have 3 % 12. The modulus operation `%` calculates the remainder when 3 is divided by 12. In this case, the remainder is 3.

3. Finally, we add the results of the previous two operations: 10 + 11 + 3. The addition operation `+` adds the numbers together, resulting in 24.

Therefore, the value assigned to the variable iResult will be 11. I hope this helps! Let me know if you have any further questions.

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Let be "x" the number that represents 100%.

According to the information given in the exercise, 96 is 60% of the number "x".

Then, you can set up the following proportion:

Now you need to solve for "x" in order to find its value:

Hence, the answer is:

Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

The possible temperatures for the north will be 4 degrees and 6 degrees. The correct option is D and E.

Mathematical statements with at least two terms connected by an operator and containing either numbers, variables, or both are referred to as expressions.

The direction that heat energy will spontaneously flow depends on temperature. Temperature is the degree to which a body is hot or cold. because it was mentioned that the north can occasionally experience temperatures below 3 degrees. D and E are the appropriate choices

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Answer:

x=2, y=0

Step-by-step explanation:

-3h is value of function j(x +h)-j(x) .

What is functions ?

j(x) = 3x-1

J(x + h ) = 3 ( x + h ) + 1

put the value

j(x +h)-j(x) = 3x-1 -  3 ( x + h ) + 1

                = 3x - 1 - 3x -3h + 1

                = -3h

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The matrix a is given such that a² - 3a - 2I = 0. It is shown that ai is invertible, and its inverse is  (1/2)(a_i - 3i).

Given: a² - 3a = 2i

Multiplying both sides by a⁻¹, we get

a - 3i = 2a⁻¹

Rearranging, we get

a⁻¹ = (1/2)(a - 3i)

Now, we need to show that a_i is invertible, i.e., we need to find (a_i)⁻¹.

We know that

(a_i)² - 3(a_i) = a

Multiplying both sides by a_i⁻¹, we get

a_i - 3i = a_i⁻¹ * a

Rearranging, we get

a_i⁻¹ = (1/2)(a_i - 3i)

Therefore, (a_i)⁻¹ exists and is given by (1/2)(a_i - 3i).

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The probability that Bob hits his first home run before his 25th plate appearance of the season is 0.3511, which is approximately 35.11%.

The probability that Bob hits his first home run before his 25th plate appearance of the season, denoted as P, can be expressed mathematically as:

P = 1 - P(X ≥ 25)

where P(X ≥ 25) is the probability that Bob hits his first home run on or after his 25th plate appearance.

Given that  

\(\[ P(X \geq 25) = \left(1 - p\right)^{25-1} \]\)

, where p = 1/18.38 = 0.0544, we can substitute the values:

\(\[ P = 1 - \left(1 - 0.0544\right)^{25-1} \]\)

Simplifying further:

P = 1 - 0.6489

Hence, the mathematical expression for the probability that Bob hits his first home run before his 25th plate appearance is:

P = 0.3511

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The probability that Bob hits his first home run before his 25th plate appearance of the season is \(1 - (1 - (1/18.38))^{24}\).

To find the probability that Bob hits his first home run before his 25th plate appearance of the season, we can use the concept of geometric probability. Geometric probability is used to calculate the probability of a specific event occurring within a sequence of independent trials.

In this case, Bob hitting a home run is the event we are interested in, and each plate appearance represents an independent trial. We are given that Bob hits a home run once every 18.38 plate appearances.
To calculate the probability, we need to find the complement of the event (the probability of not hitting a home run in the first 24 plate appearances) and subtract it from 1.
The probability of not hitting a home run in one plate appearance is 1 minus the probability of hitting a home run, which is 1 - (1/18.38).
To find the probability of not hitting a home run in the first 24 plate appearances, we raise this probability to the power of 24, since each plate appearance is an independent trial.
So, the probability of not hitting a home run in the first 24 plate appearances is ( \(1 - (1 - (1/18.38))^{24}\).
To find the probability of hitting the first home run before the 25th plate appearance, we subtract the probability of not hitting a home run in the first 24 plate appearances from 1.

Calculating this probability, we find that Bob has approximately a 49.2% chance of hitting his first home run before his 25th plate appearance of the season.

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Answer: x=1

Step-by-step explanation:

Given: MN || OP, m<MQR = 58-7x, m<QRP = 54-3x

Since we know that lines MN and OP are parallel, we know that m<MQR and m<QRP are equal because of alternate interior angles theorem.

Since those two angles are equation we can create an equation to solve.

58-7x=54-3x

Subtract 54 from both sides, add 7x to both sides

4=4x

Divided by 4

x=1

Hope that helps! :)

Let me know if you need help understanding or a clearer explanation!

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Reynaldo spends $\(680\) a year on his property insurance payment.

Property Usage refers to the planned uses of or continuing activities that occur on, inside, or in relation to every parcel or component of property that is a component of the property.

Seven distinct qualities of real estate have to do with either its physical or economic nature. They are destructibility, uniqueness, immobility, location, improvements, and scarcity. The several types of real estate include residential, commercial, industrial, and land.

Hence, the cost of Reynaldo's building insurance would be:

\(95,000/100 * 0.56 = 532\)

The cost of Reynaldo's contents insurance would be:

\(20,000 / 100 * 0.74 = 148\)

As a result, the total annual premium Reynaldo would pay for property insurance would be:

\(532 + 148 = 680\)

Therefore, the answer is not one of the given choices, as the correct premium is $\(680\).

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Reynaldo pays $598.5 for property insurance per year.

Determine the value of the building and its contents, then apply the appropriate rate for the location and kind of construction to arrive at the annual premium Reynaldo pays for property insurance.

Given that the rental house is a suburban all-wood home valued at $95,000, we can apply the following rates from the table:

Building rate: 0.56 per $100 of coverage

Contents rate: 0.63 per $100 of coverage

Suburb rate: 0.45

We must multiply the building value by the building rate and divide the result by 100 to determine the premium for the building:

Premium for building = ($95,000 * 0.56) / 100 = $532

We must multiply the contents value by the contents rate, divide by 100, and then compute the premium for the contents:

Premium for contents =($95,000 * 0.63) / 100=$598.5

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The mean, variance, and standard deviation for the number who got their flu shots are 130, 45.5, and 6.74, respectively.

Given that the probability of adults aged 70 and over who got their flu shot is 65%, and the sample size is 200. We can consider this situation as a binomial distribution with parameters n = 200 and p = 0.65.

The mean of the binomial distribution is given by:

μ = np = 200 × 0.65 = 130

The variance of the binomial distribution is given by:

σ^2 = np(1 - p) = 200 × 0.65 × (1 - 0.65) = 45.5

The standard deviation of the binomial distribution is the square root of the variance:

σ = √45.5 = 6.74

Therefore, the mean, variance, and standard deviation for the number who got their flu shots are 130, 45.5, and 6.74, respectively.

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Answer:

hike 2 = -62

hike 3= -38

hike 4 = -225

The equation when solved for the variable 'c' is c = P-5/ 2

A subject of formula can be defined as the variable that is written or denoted in terms of other variables in an equation or expression.

It is known as the variables being worked out in an equation. It is allowed to stand on its own over the equality sign.

Given the equation;

P = 2c + 5

To make the variable 'c' the subject of formula, we take the following steps:

Take 5 over the equality sign

P - 5 = 2c

Now, divide both sides by the coefficient of 'c' which is 2

2c/ 2 = P - 5/ c

Find the quotient

c = P-5/ 2

Thus, the equation when solved for the variable 'c' is c = P-5/ 2

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If every matrix in the set is linearly independent, the set itself is linearly independent. Otherwise, if one matrix can be expressed as a linear combination of the others, the set is linearly dependent.

To verify linear independence, we need to solve the equation:

c1A + c2B + c3C + ... + cnN = 0,

where A, B, C, ..., N are the matrices in the set, and c1, c2, c3, ..., cn are coefficients.

If the only solution to this equation is when all the coefficients c1, c2, c3, ..., cn are zero, then the set is linearly independent.

Otherwise, if there exist non-zero coefficients, the set is linearly dependent.

By performing the necessary calculations and solving the equation for each given set of 2x2 matrices, we can determine their linear independence or dependence.

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Answer:

80 pieces

Step-by-step explanation:

12 ft x 12 in = 144 inches

144 in x 10 rolls = 1,440 inches

1,440 in / 18 in = 80 pieces of ribbons

Answer:

1

Step-by-step explanation:

Answer: B 1.1

Step-by-step explanation: if you round 1.79 you get 1.8 if you round 0.67 you get 1.7 then you subtract them and you get 1.1

Brainlest plz

The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.

The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.

Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example,  x-2 = 1/x2.

The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.

The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.

The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.

These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.

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Answer:2x²+56

Step-by-step explanation:

2x+1-9·X²-7

2x²+56

Hope this Helps!!!!