Theorem 9.3.1: When is the critical point of the two-dimensional system x' = Ax asymptotically stable? Stable? Unstable?

The radius of the circle will be 4.6m.

What is area of a circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value. The area of the circle will be A = \(\pi r^{2}\).

The area of the circle given is = 15 m²

Sector of a circle with a central angle of 5π/11 rad

The area will be (1/2) * r² * Ф

15 = (1/2) * r² * (5π/11)

⇒r² = 30 * (11/5π)

⇒r² = 21.00

⇒r=4.6m

Hence, the radius of the circle will be 4.6m.

Learn more about area of a circle, by the following link.

https://brainly.com/question/12374325

#SPJ4

Given parameters:

Force  = 30N

Distance covered  = 3m

Unknown:

Work done = ?

Work done is an important physical quantity. It is formulated as the product of force and distance.

   Work done  = Force x Distance

The unit is in Joules.

Now go ahead and input the parameters;

                  Work done  = 30 x 3  = 90J

The work done in pushing the car is 90J

Answer:

D

Step-by-step explanation:

The rest you can elimate because of obvious inferring and reasoning so process of elimination

He is  2√19 miles far way from starting point.

Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.

If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles

It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles  eastward and 3√ 3 miles northward.

By the Pythagorean Theorem, the distance from his starting point is q:

(7)2 + (3√3)2

=√49 + 27

= √76

= 2√19 .

Learn more about Pythagorean Theorem on:

https://brainly.com/question/20545047

#SPJ4

The piecewise function for the graph is given as follows:

A piecewise function is a function that has different definitions, depending on the input x of the function.

The three different definitions for the function in this problem are given as follows:

For x < -4, the function is constant at y = -2, hence:

y = -2, x < -4.

For -4 < x ≤ 2, the function is linear, with an slope of 0.5 and intercept of 4, hence:

y = 0.5x + 4, -4 < x ≤ 2

For x > 2, the function is also linear, with slope of -1.5, hence at x = 0 it would assume a value of 1, thus:

y = -1.5x + 1, x > 1.

More can be learned about piecewise functions at https://brainly.com/question/30348444

#SPJ1

Answer:

7 friends

Step-by-step explanation:

We can start by finding the percentage of Alonzo's current friends who chose the Costume Party theme:

Costume Party percentage = (5/30) x 100% = 16.67%

We can then use this percentage to predict how many of the additional 40 friends will choose the Costume Party theme:

Number of new friends who choose Costume Party = (16.67/100) x 40 = 6.67

Since we cannot have a fraction of a person, we can round up to predict that 7 of the additional 40 friends will choose the Costume Party theme.

Therefore, we predict that 7 friends of the additional 40 friends will choose the Costume Party theme.

Answer:

387420489

Step-by-step explanation:

I hope this helps if not let me know in the comments

here is the qr code it will show you the steps on how to do it if you click on it

Answer:

tha answer is A

Step-by-step explanation:

on the picture

if it's helpful ❤❤

THANK YOU

Answer: 10 × 8 × 14 = 1120 it think 1120 is the answer cause the solution is length × width × height

Hope this helps :)

And plz mark me brainiest!

Answer:

V(x)=x^2+9x^2-16x-144

Step-by-step explanation:

Here the height of the figure is 14 yd.  The base appears to be an isosceles triangle.  The volume is the height times the base area:

V = (14 yd)(1/2)(16 yd)(10 yd), or

V(x)=x^2+9x^2-16x-144

The difference between the graph of the function is

The graph of f(x) is stretched horizontally.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have two function,

f(x) = 5 cos ( 1/2 x ) - 2

g(x) = 5 cos (x) -2

The graph represented by red line is function f(x) and the graph represented by blue line is g(x).

As, seen from the f(x) is stretched by 2 units then g(x).

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ7

Answer:

well its two

Step-by-step explanation:

but A nonlinear system could be representative of two circles that overlap and intersect in two locations, hence two solutions. A nonlinear system could be representative of a parabola and a circle, where the vertex of the parabola meets the circle and the branches also intersect the circle, hence three solutions.

Anderson should use a two-sample t-test to determine if there is a statistically significant difference in annual income between college graduates and non-college graduates.

A two-sample t-test is a type of inferential statistic used to compare the means of two independent groups. It is used to determine if the difference between the two groups is statistically significant.

In this case, Anderson would compare the mean annual income of college graduates to the mean annual income of non-college graduates. If the difference between the two means is statistically significant, then Anderson can conclude that there is a difference in annual income between college graduates and non-college graduates.

If the difference is not statistically significant, then Anderson can conclude that there is no difference in annual income between the two groups.

For more questions like Two-sample t-test  click the link below:

https://brainly.com/question/15870238

#SPJ4

Individuals are often accurate in predicting what would make them happy.

The correct option is B.

Happiness is a feeling of contentment, that life is just as it should be. Perfect happiness, enlightenment, comes when you have all of your needs satisfied. While the perfect happiness of enlightenment may be hard to achieve, and even harder to maintain, happiness is not an either /or case.

The statements that are considered truly related to happiness are as follows;

Hence, Individuals are often accurate in predicting what would make them happy.

To know more about Happiness click the link given below.

https://brainly.com/question/17981257

Answer:

B. Individuals are often accurate in predicting what would make them happy.

Explanation:

Edge 2022

Based on the Pareto analysis, the set of brands which contributes most to the profit , i.e., about 80% is Adidas , Hyperlite ,mongoose , Schwinn and aquaronotman.

Pareto analysis is based on the idea that 80% of a project's benefit can be achieved by doing 20% of the work . In bigger business firms it is taken as a powerful tool for quality maintenance and decision-making .We can say that ,it is a method used for getting the required facts and information needed for setting priorities.

Thus , we can say that it is a technique used in business decision-making, but it also be used in welfare economics . It is based on the "80-20 rule." Pareto analysis, as a decision-making technique, statistically distinguishes a small number of input factors , either good or undesirable that have the largest impact on an output.

To learn more about analysis

brainly.com/question/1419791

#SPJ4

\(\displaystyle \lim_{x\to 0}\left(\frac{2x\ln \left(1+3x\right)+\sin \left(x\right)\tan \left(3x\right)-2x^3}{1-\cos \left(3x\right)}\right)\)

Both the numerator and denominator approach 0, so this is a candidate for applying L'Hopital's rule. Doing so gives

\(\displaystyle \lim_{x\to 0}\left(2\ln(1+3x)+\dfrac{6x}{1+3x}+\cos(x)\tan(3x)+3\sin(x)\sec^2(x)-6x^2}{3\sin(3x)}\right)\)

This again gives an indeterminate form 0/0, but no need to use L'Hopital's rule again just yet. Split up the limit as

\(\displaystyle \lim_{x\to0}\frac{2\ln(1+3x)}{3\sin(3x)} + \lim_{x\to0}\frac{6x}{3(1+3x)\sin(3x)} \\\\ + \lim_{x\to0}\frac{\cos(x)\tan(3x)}{3\sin(3x)} + \lim_{x\to0}\frac{3\sin(x)\sec^2(x)}{3\sin(3x)} \\\\ - \lim_{x\to0}\frac{6x^2}{3\sin(3x)}\)

Now recall two well-known limits:

\(\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax}=1\text{ if }a\neq0 \\\\ \lim_{x\to0}\frac{\ln(1+ax)}{ax}=1\text{ if }a\neq0\)

Compute each remaining limit:

\(\displaystyle \lim_{x\to0}\frac{2\ln(1+3x)}{3\sin(3x)} = \frac23 \times \lim_{x\to0}\frac{\ln(1+3x)}{3x} \times \lim_{x\to0}\frac{3x}{\sin(3x)} = \frac23\)

\(\displaystyle \lim_{x\to0}\frac{6x}{3(1+3x)\sin(3x)} = \frac23 \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}\frac{1}{1+3x} = \frac23\)

\(\displaystyle \lim_{x\to0}\frac{\cos(x)\tan(3x)}{3\sin(3x)} = \frac13 \times \lim_{x\to0}\frac{\cos(x)}{\cos(3x)} = \frac13\)

\(\displaystyle \lim_{x\to0}\frac{3\sin(x)\sec^2(x)}{3\sin(3x)} = \frac13 \times \lim_{x\to0}\frac{\sin(x)}x \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}\sec^2(x) = \frac13\)

\(\displaystyle \lim_{x\to0}\frac{6x^2}{3\sin(3x)} = \frac23 \times \lim_{x\to0}x \times \lim_{x\to0}\frac{3x}{\sin(3x)} \times \lim_{x\to0}x = 0\)

So, the original limit has a value of

2/3 + 2/3 + 1/3 + 1/3 - 0 = 2

Answer:

C

Step-by-step explanation:

The answer is C because it is the only one where any combination of 2 sides will add up to be greater than the other sides.

Answer:

Step-by-step explanation:

A is not possible, because 5 + 4 < 10 (doesn't satisfly inequality.)
B is also not possible => 5 + 7 < 13 (doesn't satisfy inequality.)
D is also not possible => 4 + 5 < 10 (doesn't satisfy inequality)

So, the answer is C, cause the sum of 2 sides is always more than the other one.

Answer:

Sweet and Sour Company

Step-by-step explanation:

$24/4 gallons=$6/gallon

$16/8 quarts       (divide by 4 cause there's 4 quarts per gallon)=$8/gallon

Answer: Sweet and Sour company is right

Step-by-step explanation:

To factor completely the expression −2x³ + 6x², we can follow the below steps:Step 1: Take out common factor −2x². -2x²(x − 3)Step 2:

The obtained expression −2x²(x − 3) is already factored completely.

Step 3: The given expression −2x³ + 6x² can be written as −2x²(x − 3) as obtained in

step 1. Thus, −2x³ + 6x² = −2x²(x − 3)The expression −2x³ + 6x² can be factored completely as −2x²(x − 3).

The obtained expression is already factored completely, and therefore the prime factorization of the given expression is −2x²(x − 3). Hence, the answer is: −2x²(x − 3).

This is a complete and comprehensive solution that includes more than 100 words.

To know more about expression visit:

https://brainly.com/question/28170201

#SPJ11

Yoona will charge $20.75 to walk 8 dogs based on the trend of Yoona charges to walk dogs.

First, find the pattern in the amount that Yoona charges to walk each additional dog.

Additional cost to walk 2 dogs:

= 40 - 37.25

= $2.75

Additional cost to walk 3 dogs:

= 37.25 - 34.50

= $2.75

Additional cost to walk 4 dogs:

= 34.50 - 31.75

= $2.75

Every extra dog therefore leads to a fall in price by $2.75. For eight dogs, Yoona would charge:

= 40 - (7 x 2.75)

= 40 - 19.25

= $20.75

Find out more on cost to walk dogs at https://brainly.com/question/24523218

#SPJ1

The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.

∫3e^x dx = 3∫e^x dx = 3e^x + C₁

∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂

∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃

∫1 dx = x + C₄

Now, we can combine these results to obtain the final answer:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

where C is the constant of integration.

Learn more about integration here:brainly.com/question/32510822
#SPJ11

Answer:

Y=3x

Slope: 3

Y int. (0,0)

Y=-2/3x-3

Slope: -2/3

Y int (0,-3)

Step-by-step explanation:

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

Answer:

Graph the inequality by finding the boundary line, then shading the appropriate area. y < 1 /2 x − 2

Hope this helps!

Answer:

Side JL corresponds with FG

Step-by-step explanation:

because they are both the same length. it is just turned.

In a triangle, The value of x is, 40°

And, The value of y is, 50°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle is show in figure.

We know that;

In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.

Now, By figure we can formulate;

⇒ x + x + 100 = 180

Solve for x;

⇒ 2x + 100 = 180

⇒ 2x = 180 - 100

⇒ 2x = 80

⇒ x = 40

Thus, The value of x = 40°

And, We get;

⇒ x° + y° + 90° = 180°

⇒ 40 + y + 90 = 180

⇒ y + 130 = 180

⇒ y = 180 - 130

⇒ y = 50°

Thus, The value of y = 50°

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

5^3 = 5 x 5 x 5

Product = 125

Step-by-step explanation:

Answer:

5^3 = 5 x 5 x 5

Step-by-step explanation:

Please trust me one this! The answer of this power is 125! Take care :D

Answer:

(x - 1)² + (y + 4)² = 81

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r²

(h, k) is the center

2r = d

Step 1: Find r

18 = 2r

r = 9

Step 2: Plug known variables into formula

(x - 1)² + (y + 4)² = 9²

Step 3: Evaluate

(x - 1)² + (y + 4)² = 81

Answer:

(x-1)^2 + (y+4)^2 = 81

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

The center is ( 1,-4)

and the radius is d/2 = 18/2 = 9

(x-1)^2 + (y- -4)^2 = 9^2

(x-1)^2 + (y+4)^2 = 81

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

To know more about the Least-Squares Line method, visit:

https://brainly.com/question/14940432

#SPJ4

Answer:

B 37/11

Step-by-step explanation:

Brainliest please

Answer:

B. 37/11

Step-by-step explanation:

Multiply 3 by 11 and get 33

and add 4

37

improper fraction: 37/11

To fill register $10 with the value 0x10000000A, you would use the following two instructions:

A. lui $10, 0x1000

C. ori $10, $10, 0x10000000A

The lui (Load Upper Immediate) instruction sets the most significant 16 bits of the destination register to a specified 16-bit value. The ori (OR Immediate) instruction ORs the source register with an immediate value and stores the result in the destination register.

In this case, lui $10, 0x1000 sets the most significant 16 bits of $10 to 0x1000, and ori $10, $10, 0x10000000A ORs 0x10000000A with the contents of $10, filling $10 with the desired value of 0x10000000A.

To learn more about value here:

https://brainly.com/question/30145972

#SPJ4