what is 57 + -4 + 9
​

This matrix tells us how much the system will change when we perturb x and y around the point (x,y). It can be used to analyze stability, convergence, and other properties of the system.

To express a system as x′=f(x,y),y′=g(x,y), we need to rewrite the equations in terms of derivatives. For example, if we have x and y as functions of time t, we can write x′=dx/dt and y′=dy/dt. Then, we can use these derivatives to express the system as:

x′=f(x,y)
y′=g(x,y)

The Jacobian matrix is a way of measuring how much a system changes when we perturb its inputs. Specifically, it is a matrix of partial derivatives that tells us how much each output variable changes when we change each input variable. To calculate the Jacobian matrix for this system at point (x,y), we take the partial derivatives of f and g with respect to x and y, respectively:

J(x,y) = [ ∂f/∂x  ∂f/∂y ]
        [ ∂g/∂x  ∂g/∂y ]

This matrix tells us how much the system will change when we perturb x and y around the point (x,y). It can be used to analyze stability, convergence, and other properties of the system.

In summary, to express the system as x′=f(x,y),y′=g(x,y), we need to rewrite the equations in terms of derivatives. The Jacobian matrix at point (x,y) is a matrix of partial derivatives that tells us how much the system changes when we perturb its inputs.

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Answer:

2 - 6 = -4

Step-by-step explanation:

First, take the 2, and find how many it takes to get to 0, which is 2. So, with the number we are subtracting, which is 6, minus 2 from that to be left with 4.

Now we are at 0 with -4 left.

0 - 4 = -4

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Answer:

95

Step-by-step explanation:

you take the 25x2 and add the sellong price. Bada bing bada boom you get $95

Matrix form refers to representing a set of data or a mathematical system using a matrix. A matrix is a rectangular array of numbers or symbols arranged in rows and columns.

To represent each woman's scores for each event in a matrix form, we can create two 5 × 1 matrices.

The first matrix will represent Anita Alien's scores for each event, and the second matrix will represent Mary Beth Lagorashvili's scores.

Here are the matrices:

Matrix for Anita Alien:
952
720
1108
1172
1044

Matrix for Mary Beth Lagorashvili:
760
832
1252
1144
1064

In the first matrix, each number represents Anita Alien's score for the corresponding event. For example, the first number, 952, represents Anita Alien's score for the shooting event. The second number, 720, represents her score for the fencing event, and so on.

Similarly, in the second matrix, each number represents Mary Beth Lagorashvili's score for the corresponding event.

These matrices provide a convenient way to organize and compare the scores of the two women for each event in the modern pentathlon competition.

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To represent each woman's scores for each event, we can create two 5 × 1 matrices.
For Anita Alien:
Shooting: 952
Fencing: 720
Swimming: 1108
Riding: 1172
Running: 1044
For Mary Beth lagorashvili:
Shooting: 760
Fencing: 832
Swimming: 1252
Riding: 1144
Running: 1064

In matrix form, the scores for each woman's events would look like this:
Anita Alien:
[952]
[720]
[1108]
[1172]
[1044]
Mary Beth lagorashvili:
[760]
[832]
[1252]
[1144]
[1064]

Each row in the matrix represents a different event, and each column represents a different woman. The numbers in the matrix represent the scores for each event. For example, in Anita Alien's matrix, the score for shooting is 952, the score for fencing is 720, and so on.
These matrices provide a clear and organized way to represent the scores for each woman in the modern pentathlon events at the 2004 Olympic Games.

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Hello there. To solve this question, we'll find how many times George's grandpa is older than his grandson.

First, this is also called the ratio of the ages between George and his grandpa.

To find this, we divide their ages in the order Grandpa : Grandson as following:

Simplify the fraction by a factor of 8

This is how many times George's grandpa is older than him.

Answer:  a

Step-by-step explanation:

Answer:

Men be 500

Women be 1000

And, the children be 4000

Step-by-step explanation:

The computation is shown below:

Let us assume the men be x

So the women be 2x

And, the children be 2x(4) i.e. 8x

Now according to the question

x + 2x +  8x = 5500

11x = 5500

x = 500

Men be 500

Women be 1000

And, the children be 4000

Answer:

cross multiply to get 12

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

18 x 2 is 36 divided by 3 is 12

you can simplify 18/12 by 6 to get 3/2

The probability that their first child will have kidney disease is 1/8.

What is probability?

The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.

Here, we have

Both parents must be heterozygous to have a 1/4 chance of having an

affected child. Parent 2 is heterozygous (her father was homozygous recessive, but she has unaffected).

For the child to have the disease, both Parent 1 and Parent 2 would need to be heterozygous

There is a 50% chance of this for Parent 1 and a 100% chance of this for Parent 2 and then, there is a 25% chance that their first child will be affected:

50%× 100% × 25% = 12.5%

1/2 × 1/4 = 1/8

Hence, the probability that their first child will have kidney disease is 1/8.

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Answer:

in an arithmetic series, an = a0+ (n-1) *d

that means the nth term is equal to the first term plus n-1 times the common difference.

Absolute value is a mathematical term used to describe the distance between a number and zero on a number line. It is written in algebraic form as |x|.

The absolute value of a number is always positive, even if the number itself is negative. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5.

When graphed on a number line, the absolute value of a number is the distance between that number and zero. Positive numbers are found on the right side of the number line, and negative numbers are found on the left side. The absolute value of a number is the same regardless of which side of the number line it is located.

Absolute value can be used to compare the distance between two numbers on a number line. For example, the absolute value of 6 minus the absolute value of 3 is equal to the absolute value of 3 minus the absolute value of 6. This is because the distance between the two numbers is the same regardless of the order of subtraction.

Absolute value can also be used to solve equations.

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Answer:

1.20 divided by 5 is 0.24, so 1.20 plus 2 cans is 1.68

Answer:

option a yes, y=2x

Step-by-step explanation:

3*2=6

5*2=10

7*2=14

Answer:

85.71% chance of randomly selecting a student who owns at least one laptop or one desktop

Step-by-step explanation:

Out of a total of 70 students, only 10 own neither a laptop nor a desktop. This means that the probability of selecting a student with at least one of the two is \(\frac{60}{70}\) or \(\frac{6}{7}\).

If we convert this fraction into a percentage and round to the nearest hundredth, it equals:

85.71%

Answer:

10x^9

Step-by-step explanation:

Add the exponents together and multiply normally

2x^6+5x^3

=10x^9

Answer:

2x^6x+5x^3

Step-by-step explanation:

First you want to

Add the exponents like you would with regular numbers

Which comes out to

2

a. The labor productivity ratio for Mack's guitar fabrication shop is $30 per labor hour, and the multi-factor productivity ratio is $0.3647 per dollar.

b. If option 1 is implemented, the new productivity level would be $0.424 per dollar, and if option 2 is implemented, the new productivity level would be $0.427 per dollar.

a. The labor productivity ratio for Mack's guitar fabrication shop is $30 per labor hour. The multi-factor productivity ratio for Mack's guitar fabrication shop is $0.3647 per dollar.

To calculate the labor productivity ratio, we divide the total output value ($240 per guitar) by the total labor hours required (2 labor hours per guitar). Thus, the labor productivity ratio is $240 / 2 = $120 per labor hour.

To calculate the multi-factor productivity ratio, we divide the total output value ($240 per guitar) by the sum of labor, materials, and overhead costs per guitar ($9 labor cost + $38 materials cost + $4,200 overhead cost). Thus, the multi-factor productivity ratio is $240 / ($9 + $38 + $4,200) = $0.3647 per dollar.

b. If Mack's guitar fabrication shop decides to implement Darren Funk's option 1 to improve the multi-factor productivity, the new productivity level would be $0.424 per dollar. This is obtained by increasing the sales price by 15%, resulting in a new output value of $276 per guitar, while keeping the labor, materials, and overhead costs unchanged.

If Mack's guitar fabrication shop decides to implement Darren Funk's option 2 to improve the multi-factor productivity, the new productivity level would be $0.427 per dollar. This is achieved by improving the quality so that only 15% of the guitars are defective, reducing the scrapped percentage from 22% to 15%, while again keeping the labor, materials, and overhead costs unchanged.

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Total cost = $36.57

Flat rate= $2.99

First, subtract the flat rate to the total cost:

36.57-2.99 = $33.58

Divide the result by the number of t-shirts (2)

33.58/2 = $16.79

The probability that at least one of them is a kindergartner; 0.643.

Calculating or estimating how likely something is to occur is what probability is all about. The likelihood of an event occurring can be expressed using words like "certain," "impossible," or "probable."

Probabilities are always expressed in mathematics as fractions, decimals, or percentages with values ranging from 0 to 1.

Calculation for the probability of the one of them is a kindergarden;

The total number of children is 8.

The total number of kindergarden are 3.

The total number of first graders are 5.

Let 'P' be the probability that at least one of them is kindergarden.

P(at least one kindergartner) = 1 - P(no kindergartner) = 1 - P(all first-graders)

The probability that all are first-graders = (5/8)×(4/7)

                                                                  = 5/14

Therefore, P(at least one kindergartner) = 1 - (5/14)

                                                                   = 9/14

                                                                   = 0.643

Therefore, if two children are ill then, the probability that at least one of them is a kindergartner is 0.643.

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The correct question is-

A carpool contains three kindergartners and five first-graders. if two children are ill, find the probability that at least one of them is a kindergartner.

The first ordered pair is (850, 162.65), indicating that at a price of $162.65 per ounce, the daily demand of Virbog is 850 ounces. The second ordered pair is (1450, 132.05), indicating that at a price of $132.05 per ounce, the daily demand of Virbog is 1450 ounces.

These ordered pairs represent the relationship between the quantity demanded and the price per ounce of Virbog. It shows how the demand for Virbog changes with respect to its price.

The first ordered pair indicates that as the price per ounce increases to $162.65, the quantity demanded decreases to 850 ounces. The second ordered pair indicates that as the price per ounce decreases to $132.05, the quantity demanded increases to 1450 ounces. This information can be used to analyze the demand curve for Virbog and study its price elasticity.


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The cardinalities:

n(A) = 3

n (B) = 1.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

Let sets A and B be defined as follows.

A is the set of integers greater than or equal to -9 and less than or equal to - 3

A = {n ≥ -9 or n ≤ -3}

B = {1-29, -26, -23, 30}

B = {-28, -26, -23, 30}

The cardinalities:

n(A) = 3

n (B) = 1.

Therefore, n(A) = 3 and n (B) = 1.

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Answer:

Step-by-step explanation:

Get the prime factors of each number and find GCF

CGF(24, 56, 96) = 2*2*2 = 8

Number of bags is 8

Each bag contains:

Answer:

8 bags

Step-by-step explanation:

This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer: B

Step-by-step explanation:

Only makes sense its the same as the question I might be wrong

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

Cereal B

Step-by-step explanation:

You need to divide the price by its ounces to find the price per ounce.

Cereal A is 3.96/18= 0.22 per ounce

Cereal B is 4.80/24= 0.20 per ounce

This shows that cereal B is cheaper per ounce

The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".

For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.

The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.

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Answer:

870

Step-by-step explanation:

70

The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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Answer:

The radius of the cone is approximately 1.4 feet

Step-by-step explanation:

The given parameters of the cone are;

The height of the cone, h = 4 ft.

The volume of the cone, V = 7.77 ft.³

The volume, 'V', of a cone is given by the following formula;

V = 1/3 × π·r²·h

Where;

V = The volume of the cone = 7.77 ft.³

r = The radius of the cone

h = The height of the cone = 4 ft.

By substituting the vales of 'h' and 'V' in the above equation, we have;

7.77 ft.³ = 1/3 × π × r² × 4 ft.

∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.

∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)