When is it proper to use "es" when doing math?
When is it proper to use "son" when doing math?

The derivative (or jacobian) matrix, DF(x), of the nonlinear system x′=f(x) given by x'1=ax, x'2=bx2+c(x2)^3, where a,b, and c are constants, is [a 0; 0 2bx+3cx^2].

To find the derivative (or jacobian) matrix, DF(x), of the nonlinear system x′=f(x):

We first need to find the partial derivatives of each equation with respect to each variable.

For the first equation, x'1=ax,

the partial derivative with respect to x1 is a, and the partial derivative with respect to x2 is 0.

For the second equation, x'2=bx2+c(x2)^3,

the partial derivative with respect to x1 is 0, and the partial derivative with respect to x2 is 2bx + 3cx^2.

Putting these partial derivatives into a matrix, we get:

DF(x) =
[a     0]
[0    2bx+3cx^2]

Therefore, the derivative (or jacobian) matrix, DF(x), of the nonlinear system x′=f(x) given by x'1=ax, x'2=bx2+c(x2)^3, where a,b, and c are constants, is [a 0; 0 2bx+3cx^2].

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6.50 is the sample variance of the following numbers.

How to interpret a standard deviation?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

            Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

X = ∑x/n

   = 3 + 4 + 2 + 7 + 1/5

    = 20/5 = 4

s² = [∑(Xi - x)²/N-1]

   = (6-4)² + ( 4 - 4 )²+ ( 4 - 4 )² + ( 7 - 4 )² + ( 1 - 4 )²/5 - 1

    = 26/4

    = 6.50

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Answer: 51

Step-by-step explanation:

a = first term = 156

d = common difference = 153 - 156 = -3

The nth term will be gotten using the formula:

= a + (n - 1)d

36th term = a + (36 - 1)d = a + 35d

= 156 + 35(-3)

= 156 - 105

= 51

Answer:

y+y-8=<41,I think that's the answer

Answer:

x < 3

Step-by-step explanation:

The last step is to divide by -2. When you divide by a negative number you must reverse (flip) the inequality symbol.

-6 < -2x

-6/-2 > -2x/-2

3 > x

This is the same as

x < 3 (see the pointy side pointing at the x and the wide open side facing the 3)

Answer:

3

Explanation:

For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.

The deductible mileage cost has reduced by 2.16%

What is a percentage change?

A percentage change  compares the difference between the new amount and the old amount to the old amount.

I mean the percentage change is the new deductible mileage cost minus the old deductible mileage cost divided by the old deductible mileage cost

New deductible mileage cost= 57.5 cents

Old deductible mileage cost= 56 cents

percentage decrease=(56-57.5)/57.5

percentage decrease=-2.61%

The negative sign in -2.61% means that there was a percentage decrease in deductible mileage cost by 2.61%

In essence, the deductible mileage cost has been reduced by 2.16%

Hundredth of a percent means two decimal places.

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Answer:

>

Step-by-step explanation:

The right side will be 9 10/11 because 2 plus 7 is 9.

Then we can compare:

10 9/11 ? 9 10/11

10 9/11 > 9 10/11

So > makes the statement true. Hope this helps, have a nice day :)

Answer:

>10x9 =90/11 > 2x10 =20 +7= 27/11

Option D. Doing inferential statistics. Inferential statistics is the process of using sample statistics to draw conclusions about population parameters.

This involves making inferences about a population based on data collected from a sample, and using statistical methods to estimate the true values of population parameters, such as the mean or proportion.

Descriptive statistics, on the other hand, involves summarizing and describing the characteristics of a sample or population, without making any inferences about the larger population.

Calculating the confidence level and finding the significance level are important components of inferential statistics, as they help to assess the accuracy and reliability of the estimates made based on the sample data. However, these are not the primary processes involved in using sample statistics to draw conclusions about population parameters.

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The process of using sample statistics to draw conclusions about population parameters is called: group of answer choices

A. Calculating the confidence level.

B. Calculating descriptive statistics.

C. Finding the significance level.

D. Doing inferential statistics.

The measure of the arc 13cm long with a radius = 1  is 13rad

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.

Length of an arc = ∅/360 x 2πr

where ∅ = subtended angle in degree

r = 1 = radius of the complete circle

length = 13

13 =  ∅ /360 x  2 x π x 1

but 2π rad = 360  degrees

substitute  2π rad  for 360 into the equation

13 =  ∅/2π rad  x 2 x π x 1

By cross multiplying

∅ = 13 x 2π rad / 2 x π

∅ = 13 rad

In conclusion, the angle subtended by the arc in radians is 13 rad.

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Answer:

She bought 2 videos and 8 CDs.

The length of the shorter leg is 2.5 feet and the longer leg is 4.5 feet.

It is important to note that the Pythagoras theorem states that the square of the sides are equal to the hypotenuse.

This will be:

a = First leg = x

b = Second leg = x + 4

c = Hypothenuse = 7

This will then be:

a² + b² = c²

x² + (x + 4)² = 7²

x² + x² + 8x + + 16 = 49

Collect like terms

2x² + 8x + 16 - 49

2x² + 8x - 33

Using the quadratic formula, x = 2.5.

Therefore shorter leg = 2.5 feet

Longer leg = 2.5 + 4 = 6.5 feet

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Answer:

Miko found an incorrect quotient but checked her work using multiplication correctly.

Step-by-step explanation:

i d k

Functions are used to represent graphs, and vice versa.

The function represented by the graph is \(f(x) =- |x + 4| + 3\)

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

\(f(x) =a |x - h| + k\)

Where

\(Vertex = (h,k)\)

The vertex is the minimum or the maximum point on the graph.

So, we have:

\(Vertex = (-4,3)\)

The function becomes

\(f(x) =a |x + 4| + 3\)

The function also passes through the point (-1,0).

So, we have:

\(0 =a |-1 + 4| + 3\)

\(0 =a |3| + 3\)

Remove the absolute bracket

\(0 =3a + 3\)

Subtract 3 from both sides

\(3a =- 3\)

Divide both sides by 3

\(a =- 1\)

Substitute -1 for (a) in \(f(x) =a |x + 4| + 3\)

\(f(x) =- |x + 4| + 3\)

Hence, the function represented by the graph is \(f(x) =- |x + 4| + 3\)

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The coefficients and constant in the quadratic function f(x) = x² - 5x + 6 are coefficients: 1, -5 and constant: 6.

A quadratic function is an algebraic function with one or more variables where the largest exponent of the variable is two. The equation for a quadratic function is of the form f(x) = ax² + bx + c, where 'a' is a non-zero integer and a, b, and c are real numbers. A quadratic function is a polynomial of degree 2, and its definition is as follows.

The "a", "b", and "c" from "ax2 + bx + c" are used in the quadratic formula; they are known as the "numerical coefficients" of the quadratic equation. Therefore,

f(x) = x²– 5x + 6

a = 1

b = -5

c = 6

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Question:

Identifying the Coefficients and Constanta

Consider the quadratic function f(x) = x2 – 5x + 6.

What are the values of the coefficients and constant in the function?

Answer:

69 students were advanced and 184 were regular

Step-by-step explanation:

begining

advance 3: regular 8

after exam

advance 4 (92students) : regular 7 (92/4=23; 23*7=161 students)

So total students we have 161+92=253,

remember we have advance 3: regular 8 so

253/(3+8)=253/11=23

23*3=69, 23*8=184

The weight in pounds of the fourth dog, is 55 lbs.

What is weight?

The force exerted on an object by gravity is known as its weight. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.

As given, Ben is walking with three dogs that weigh an average of 75 pounds each. Ben begins to walk with a fourth dog, and the average weight of the dogs decreases to 70 pounds.

The total weight of the first three dogs is 225 pounds.

This amount, plus the weight of the fourth dog, divided by total number of dogs, is the new average weight:

\(\frac{d+225}{4} = 70\\d + 225 = 280\\d = 280 - 225\\d = 55 lbs\)

Therefore, the weight of the fourth dog is 55 lbs.

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The Simplified polynomial expression in the standard form which represents the area of the given rectangle  is,

\(2x^2+6x-8\)

The area of rectangle is the product of its length and width. It can be given as,

\(A=a\times b\)

Here, (a) is the length of the rectangle and (b) is the width of the rectangle.

Given information-

One side of the rectangle is labeled as 2x-2.

Another side of the rectangle is labeled as x+4.

The image of the rectangle is attached below.

Let (l) is the length of the rectangle and (w) is the width of the rectangle.

In the below image, the length of the rectangle is,

\(l=4x+2\)

The width of the rectangle is,

\(w=2x-2\)

The area of the rectangle is the product of its length and width. Thus the area of the given rectangle is,

\(A=l\times w\\\)

Put the values in the above expression as,

\(A=(x+4)\times(2x-2)\\A=2x^2+8x-2x-8\\A=2x^2+6x-8\)

Thus the area of rectangle in simplified polynomial expression in the standard form is,

\(2x^2+6x-8\)

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Answer: are u looking for the roots ??? of the answer

Step-by-step explanation:

Since the constant rate is equal to

the initial population is b= 75,00 and the line equation in slope-intercept is

The model is given by:

Answer:

Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour.... To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.

Answer:

In my opinion solving for speed is similar to solving for time because when trying to do both of those you want to have a certain amount of time left for instance solving for speed I could Say "oh I want to solve this math question fast!"

Solving it fast will mean I have time left to do something else same with solving for time

"I want to solve this math question for time!" Meaning I want to solve it fast enough to have time left Hopefully this is what you want in an answer! I'm sorry if this isn't what you want

Partial grades can be awarded for providing explanations, even if the answer to the True/False statement is straightforward. Hence, the given statement is true.

In many cases, providing a simple True or False answer may not fully demonstrate the depth of understanding or reasoning behind the response. Therefore, instructors or evaluators may award partial grades for explanations that show some level of comprehension, even if the True/False statement itself is correct or incorrect.

In academic or evaluative settings, explanations are often valued as they provide insight into the thought process and understanding of the individual. Even if the answer to a True/False statement is clear-cut, an explanation can demonstrate critical thinking, application of relevant concepts, and an ability to articulate reasoning.

Grading partial credit for explanations encourages students to provide thorough and thoughtful responses, fostering a deeper understanding of the subject matter. It acknowledges that the process of arriving at an answer can be just as important as the answer itself, promoting a more comprehensive evaluation of the individual's knowledge and skills.

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Step-by-step explanation: When solving by completing the square,

we cannot have a coefficient on the squared term.

So first divide both sides by 4 to get x² + 4x + 25/4 = 0.

Now subtract 25/4 from both sides and leave a space.

So we have x² + 4x ____ = -25/4 ____.

The number that goes in that space is the number needed

to create a perfect square trinomial on the left side.

The question is, what is that number?

Well it comes from a formula.

The number that goes in that space comes from

half the coefficient of the middle term squared.

So that's half of 4 squared or 2 squared which is 4.

So we add 4 to both sides.

On the left, we will get a binomial squared

which will use x and half the coefficient of the middle term.

So we have (x + 2)².

On the right, -25/4 + 16/4 is -9/4.

So we have (x + 2)² = -9/4.

Notice that when take the square root of both sides,

we have the square root of a negative which is illegal.

So we say our answer is ∅.

The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.

Given that:

Expression, 19 - 6(-k + 4)

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Simplify the expression, then we have

⇒ 19 - 6(-k + 4)

⇒ 19 + 6k - 24

⇒ 6k - 5

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Answer:

Q1: \(y\leq -x^2+5x-4\)

Q2: [-3/2,1/4]

Q3: [-4,3]

Step-by-step explanation:

Answer:120 yards

Step-by-step explanation:

10/5=2 2*60= 120 yards

Answer:

the awnser is 300

Step-by-step explanation:

Answer:

300 points

Step-by-step explanation: