SOMEONE HELP ME PLSSS!

Answer:

x = 1, -5.56

Step-by-step explanation:

x^2 = -7x - 8

shift -7x and -8 to the other side . Remember when u shift minus changes into plus.

x^2 + 7x + 8 = 0

using quadratic equation formula

in quadratic equation one value comes positive and other comes in negative

a = 1  , b = 7 and c = 8

taking positive sign

x = (-b + \(\sqrt{b^2 - 4*a*c}\)) /2*a

x = (-7 + \(\sqrt{7^2 - 4*1*8}\) ) /2*1

x = (-7 + \(\sqrt{49 + 32}\) ) /2

x = (-7 + \(\sqrt{81}\) )/ 2

x = -7 + 9 / 2

x = 2/2

x = 1

taking negative sign

(-b - \(\sqrt{b^2 - 4*a*c}\) ) /2*a

x = (-7 - \(\sqrt{7^2 - 4*1*8}\) ) /2*1

x = (-7 - \(\sqrt{49 - 32}\) ) /2

x = -7 - \(\sqrt{17}\) / 2

x = -7 - 4.12 / 2

x = -11.12/2

x = -5.56

therefore x = 1 , - 5.56

Answer:

\(x = \frac{- 7 + \sqrt{17}}{2} \ , \ x = \frac{-7 - \sqrt{17}}{2}\)

Step-by-step explanation:

\(x^2 = - 7x - 8\\\\x^2 + 7x + 8 = 0 \\\\\)

\(x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\)               \([ \ a = 1 , \ b = 7 , \ c = 8 \ ]\)

\(x = \frac{-7 \pm \sqrt{49 - (4\times 8)}}{2} \\\\x = \frac{-7 \pm \sqrt{17}}{2} \\\\x = \frac{-7 + \sqrt{17}}{2} , \ , \frac{-7 - \sqrt{17}}{2}\)

A basic feasible solution to a linear program refers to a solution that satisfies all the constraints of the problem and lies on one of the extreme points of the feasible region.

To describe all descent directions from this point, we need to consider the gradient of the objective function. A descent direction is any direction along which the objective function decreases. Mathematically, the descent directions can be obtained by considering the null space of the constraint matrix.

The null space of the constraint matrix represents all the directions in which the constraints are satisfied. In other words, any linear combination of the vectors in the null space would not violate any of the constraints. Therefore, these vectors represent feasible descent directions.

However, not all descent directions are feasible descent directions. A feasible descent direction is one that not only decreases the objective function, but also satisfies all the constraints. The feasible descent directions can be obtained by intersecting the null space with the feasible region.

The simplex method, which is commonly used to solve linear programs, does not always move in a descent direction. In some cases, the simplex method may move in a direction that increases the objective function temporarily before eventually finding a better solution. This is because the simplex method explores different vertices of the feasible region in search of the optimal solution.

The descent directions from a basic feasible solution can be obtained by considering the null space of the constraint matrix. Feasible descent directions are those that not only decrease the objective function but also satisfy all the constraints. The simplex method does not always move in a descent direction as it may explore different vertices in search of the optimal solution.

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a) The sequence an = 5n/4n converges to 5/4.

b) The sequence bn = cos(n) diverges because the cosine function oscillates between -1 and 1.

a) To determine if the sequence an = 5n/4n converges or diverges, we can simplify the expression. Dividing the numerator and denominator by 4n, we get an = 5/4. Since the sequence is a constant value of 5/4 for all n, it converges to the limit of 5/4.

b) The sequence bn = cos(n) involves the cosine function, which oscillates between -1 and 1 as the input value n increases. Since the cosine function does not approach a specific value and keeps oscillating, the sequence diverges. There is no single limit or value that the sequence approaches.

In summary, the sequence an = 5n/4n converges to 5/4, while the sequence bn = cos(n) diverges due to the oscillating nature of the cosine function.

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Answer:

b no

Step-by-step explanation:

c^2 =\( \sqrt{a {}^{2} +b {}^{2}}

9 + 25 \: is \: not =81\)

Main Answer:The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

Supporting Question and Answer:

How can we express a vector as a linear combination of  vectors using a system of equations?

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

   2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Final Answer:Therefore,the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

Orthogonality: We need to show that each pair of vectors is orthogonal, meaning their dot product is zero.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

  2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Therefore, the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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Answer:

area= 22cm× 14cm= 308cm²

please mark it as brainlist answer

Step-by-step explanation:

Answer:

If my memory serves me correctly, then you just have to multiply the variable 3 by whatever number you are facorting it by, in this case 6 and 3.

So, the answer would be y = 18x

May I have brainliest please? :)

Answer:

x-intercept = 2/3

y-intercept = -1/3

Step-by-step explanation:

Here, we want to get the x and y intercept of the given linear equation

the x-intercept is the value of x when y is 0 while the y-intercept is the value of y when x = 10

For 3x - 6y = 2

Let x = 0

-6y = 2

y = -2/6 = -1/3

Let y = 0

3x = 2

x = 2/3

X-intercept is (2/3,0)

y-intercept is (0,-1/3)

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

x = 14

Step-by-step explanation:

Add 10 to both sides.

x− 10 + 10 = 4 + 10

x=14

Answer:

40,000

Step-by-step explanation:

Answer:

19.5

Step-by-step explanation:

2 x 19.5 = 39 - 29 = 10 :D

Answer:

Step-by-step explanation:

Be very careful with these two meanings.

Answer:

20 for 3.80

Step-by-step explanation:

3.80/20 ----> 19 cents for each

2.34/12 ----> 19.5 cents

Answer:

See below.

Step-by-step explanation:

The solution to this set of equations would be (3,5).

-hope it helps

With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

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The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.

The distance covered by the spy in t hours will be calculated thus:

= 60 × t

= 60t

The distance covered by the special agent in t hours will be:

= 90 × t

= 90t

The difference in the distance between them every hour will be:

= 90t - 60t

= 30t

The distance between the spy and special agent when the chase begins will be:

= (2 × 60mph) - 0

= 120m - 0

= 120m

The time taken to catch the spy will be:

120 + 60t = 90t

90t - 60t = 120

30t = 120

t = 120/30 = 4

The special agent will catch the spy in 4 hours.

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Answer:

A: 60t

B: 90t

C: 30 mph

D: 120 miles away

E: 4 hours

F: 120 mph

Step-by-step explanation:

Answer:

(1,-4,4)

Step-by-step explanation:

Answer:

  (x, y, z) = (1, -4, 4)

Step-by-step explanation:

The first equation lets you write an expression for z that can be used in the other two:

  z = 5x +3y +11

After substitution, you have the two-equation, two-unknown system ...

  x +2y +3(5x +3y +11) = 5   ⇒   16x +11y = -28

  3x +2y -2(5x +3y +11) = -13   ⇒   -7x -4y = 9

Substitution at this point involves fractions, but can be done. We choose to write an expression for y using the second equation.

  y = (-7x -9)/4

Substituting into the first gives ...

  16x +11(-7x -9)/4 = -28

  -13/4x = -13/4 . . . . . . add 99/4 and collect terms

  x = 1 . . . . . . . . . . multiply by -4/13

  y = (-7(1) -9)/4 = -4 . . . . use the expression for y

  z = 5(1) +3(-4) +11 = 5 -12 +11 = 4 . . . . use the expression for z

The solution is (x, y, z) = (1, -4, 4).

_____

Additional comment

Attached is an example of finding the solution using substitution with a graphing calculator. We write a function for z in terms of x and y (using the first equation), then substitute that where z is found in remaining equations. This gives a 2-variable system whose solution can be used to find the corresponding value of z.

Answer:

y intercept -5, end behavior is the function approaches -6 on right, goes to negative infinity on left

Step-by-step explanation:

Answer:

The second one: sqrt 2 - 1

Step-by-step explanation:

Answer:

B. \(\sqrt{2} -1\)

Step-by-step explanation:

Answer:

i think your answer would be $38.60

Step-by-step explanation:

i hope its right

To calculate the monthly payment and total finance charge for Darius's loan, we can use the following formula:

M = P * r * (1 + r)^n / [(1 + r)^n - 1]

Where:

P = Principal = $15,000

r = Monthly interest rate = 6.8% / 12 = 0.0056667

n = Total number of payments = 4 years * 12 months/year = 48

Plugging in these values, we get:

M = 15000 * 0.0056667 * (1 + 0.0056667)^48 / [(1 + 0.0056667)^48 - 1]

M = $357.60

Therefore, Darius's monthly payment for the loan is $357.60.

To calculate the total finance charge, we can multiply the monthly payment by the total number of payments and subtract the principal amount. So,

Total finance charge = M * n - P

Total finance charge = $357.60 * 48 - $15,000

Total finance charge = $2,116.80

Therefore, the total finance charge for the loan is $2,116.80.

His monthly payment for the loan is $357.80, and the total finance charge for the loan is $2,174.40. I just got it right on the practice.

Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

In an incidence geometry with the additional axiom that every line has exactly three points lying on it, the minimum number of points required is 4.

This is because a line must have at least two-points to exist, and if it has only two points, it is not possible to have another point lying on it (since every line must have exactly three points).

Hence, there must be at least 4-points to create two lines such that each line contains exactly three points.

Also, with 4 points, it is possible to create 6 lines such that each line contains exactly 3 points, forming a configuration known as the Fano-plane, which is the smallest example of an incidence geometry that satisfies the given axiom.

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Answer:

Hope it helps u

Step-by-step explanation:

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative,

hence A(2,1) so after 270 degree counter clockwise rotation the A  become,

A(1, -2)

Please brain-list the answer thanks.....

1 2 hopefully this helps

The process to determine where the hospitals should be built in order to minimize the total distance that patients must travel is known as location analysis. It is a decision-making method for choosing the best site for a new facility, such as a warehouse or a hospital, among other possibilities.

This requires identifying the cities with the greatest number of hospital visits and then choosing the two closest cities.Here are the steps to determining where the hospitals should be built in order to minimize the total distance that patients must travel:Step 1: Prepare a distance lookup table for each pair of cities that indicates the distance between them. The formula for computing distance is the Pythagorean Theorem. This can be done using Excel or another tool.Step 2: For each city, calculate the total distance from all other cities using the lookup table prepared in step 1.Step 3: Choose the two cities with the smallest total distance as the locations for the hospitals. You can find these cities by looking for the smallest sum in each row of the lookup table.In order to determine where the hospitals should be built in order to minimize the total distance that patients must travel, we need to calculate the distance between each pair of cities and choose the two closest cities. We can use the Pythagorean Theorem to calculate distance and lookup tables to organize the data. The two cities with the smallest total distance are the best locations for the hospitals.Long answer:A county is planning to construct two hospitals. There are nine cities where the hospitals could be built. The objective of the county is to minimize the total distance that patients need to travel to hospitals. The number of hospital visits made by people in each city, as well as the x-y coordinates of each city, are given in the P06_83.xlsx file. We will use location analysis to choose the optimal sites for the two hospitals. Here are the steps:Step 1: Create a distance lookup table for each pair of cities that shows the distance between them.

The formula for calculating distance is the Pythagorean Theorem. You can use Excel or another software tool to do this. The output should look like this:Step 2: Calculate the total distance for each city from all other cities using the lookup table created in Step 1. The following table shows the total distance for each city from all other cities:Step 3: Choose the two cities with the smallest total distance as the hospital locations. We can find these cities by looking for the smallest sum in each row of the lookup table. Based on the table above, we can see that City 3 and City 4 have the smallest total distance.

Therefore, these two cities should be chosen as the hospital locations. The total distance for City 3 and City 4 is 15.97 units.

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(i) The probability that both balls are blue is 9/64

(ii) The probability that none of the balls are blue is 25/64

To solve this problem, we need to use the formula for probability:

Probability = Number of desired outcomes / Total number of possible outcomes

(i) To find the probability that both balls are blue, we need to find the probability of drawing a blue ball and then another blue ball.

The probability of drawing a blue ball on the first draw is 3/8 (since there are 3 blue balls out of 8 total balls). After replacing the first ball, the probability of drawing another blue ball is still 3/8.

So the probability of drawing two blue balls in a row is:

(3/8) x (3/8) = 9/64

Therefore, the probability that both balls are blue is 9/64.

(ii) To find the probability that none of the balls are blue, we need to find the probability of drawing a red ball and then another red ball.

The probability of drawing a red ball on the first draw is 5/8 (since there are 5 red balls out of 8 total balls). After replacing the first ball, the probability of drawing another red ball is still 5/8.

So the probability of drawing two red balls in a row is:

(5/8) x (5/8) = 25/64

Therefore, the probability that none of the balls are blue is 25/64.

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Answer: the 90th percentile for recovery times is 8.77 days.

Step-by-step explanation:

Let x be the random variable representing the recovery time of patients from a particular surgical procedure. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 5.7 days

σ = 2.4 days

The probability for the 90th percentile is 90/100 = 0.9

The z score corresponding to the probability value on the normal distribution table is 1.28

Therefore,

1.28 = (x - 5.7)/2.4

Cross multiplying, it becomes

1.28 × 2.4 = x - 5.7

3.072 = x - 5.7

x = 3.072 + 5.7 = 8.77 days