If x = 2, solve for y.
y = 10 x 5^x
y = [?]

Answer:

Step-by-step explanation:         The four numbers:  - 34, -0.4, 0.4, 3.4

so if you look at it it  The answer is -34

Answer:

-34

Step-by-step explanation:

this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers

The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

To learn more about driving :

https://brainly.com/question/2619161

#SPJ11

The average rate of change of f(x) = sin(x) on the interval −5 ≤ x ≤ 0 is approximately 0.19178.

What is the average rate of change?

The average rate of change of a function f(x) on an interval [a, b] is given by the formula:

average rate of change = [f(b) - f(a)] / (b - a)

It is clear that it is a graph of sinx.

In this case, the function is f(x) = sin(x) and the interval is −5 ≤ x ≤ 0. Therefore, we have:

a = −5, b = 0

f(a) = sin(−5) ≈ −0.9589

f(b) = sin(0) = 0

So the average rate of change of f(x) on the interval −5 ≤ x ≤ 0 is average rate of change

\(= \frac{ [f(b) - f(a)]} { (b - a) }= \frac{[0 - (−0.9589)] }{ (0 - (−5)) }= 0.19178\)

Therefore, the average rate of change of f(x) = sin(x) on the interval −5 ≤ x ≤ 0 is approximately 0.19178.

Learn more about function here,

https://brainly.com/question/2833285

#SPJ1

Answer:

The building is around 47 meters tall

Step-by-step explanation:

Pole:

tall/long

2.8/1.79

Building:

tall/long

x/42.25

Solve for x:

2.8/1.79 = x/42.25

1.79x = 84.5

x ≈ 47

Answer:125.666

Step-by-step explanation:

Answer:

Slope = \(-\frac{1}{6}\)

Step-by-step explanation:

Slope = \(\frac{Rise}{Run}\)

Slope = \(\frac{6-10}{24-0}\)

Slope = \(-\frac{1}{6}\)

Answer:

-1/6

Step-by-step explanation:

Just use the formula Y2-Y1/X2-X1.

In this case if you substitute the coordinates of those numbers, then it would be 6-10/24-0 which is 24/-4 and if you simplify it, then you get the slope -1/6.

Answer:

y= 6/19

hope it helps

To evaluate the line integral using Green's Theorem, we need to find the curl of the vector field and then calculate the double integral over the region enclosed by the curve. Answer :  the critical points of the function z = (x^2 - 4x)(y^2 - 5y) are (x, y) = (0, 0) and (x, y) = (0, 4)

Given the vector field F = (xy^2, x^5), we can find its curl as follows:

∇ × F = (∂Q/∂x - ∂P/∂y)

where P is the x-component of F (xy^2) and Q is the y-component of F (x^5).

∂Q/∂x = ∂/∂x (x^5) = 5x^4

∂P/∂y = ∂/∂y (xy^2) = 2xy

Therefore, the curl of F is:

∇ × F = (2xy - 5x^4)

Now, we can apply Green's Theorem:

∮C P dx + Q dy = ∬D (∇ × F) dA

where D is the region enclosed by the curve C.

In this case, C is the rectangle with vertices (0,0), (3,0), (3,5), and (0,5), and D is the region enclosed by this rectangle.

The line integral becomes:

∮C xy^2 dx + x^5 dy = ∬D (2xy - 5x^4) dA

To evaluate the double integral, we integrate with respect to x first and then with respect to y:

∬D (2xy - 5x^4) dA = ∫[0,5] ∫[0,3] (2xy - 5x^4) dx dy

Now, we can calculate the integral using these limits of integration and the given expression.

As for the second part of your question, to find the critical points of the function z = (x^2 - 4x)(y^2 - 5y), we need to find the points where the partial derivatives with respect to x and y are both zero.

Let's calculate these partial derivatives:

∂z/∂x = 2x(y^2 - 5y) - 4(y^2 - 5y)

      = 2xy^2 - 10xy - 4y^2 + 20y

∂z/∂y = (x^2 - 4x)(2y - 5) - 5(x^2 - 4x)

      = 2xy^2 - 10xy - 4y^2 + 20y

Setting both partial derivatives equal to zero:

2xy^2 - 10xy - 4y^2 + 20y = 0

Simplifying:

2y(xy - 5x - 2y + 10) = 0

This equation gives us two cases:

1) 2y = 0, which implies y = 0.

2) xy - 5x - 2y + 10 = 0

From the second equation, we can solve for x in terms of y:

x = (2y - 10)/(y - 1)

Now, substitute this expression for x back into the first equation:

2y(2y - 10)/(y - 1) - 10(2y - 10)/(y - 1) - 4y^2 + 20y = 0

Simplifying and combining like terms:

4y^3 - 32y^2 + 64y = 0

Factoring out 4y:

4y(y^2 - 8y +

16) = 0

Simplifying:

4y(y - 4)^2 = 0

This equation gives us two cases:

1) 4y = 0, which implies y = 0.

2) (y - 4)^2 = 0, which implies y = 4.

So, the critical points of the function z = (x^2 - 4x)(y^2 - 5y) are (x, y) = (0, 0) and (x, y) = (0, 4).

To classify these critical points, we can use the second partial derivative test or examine the behavior of the function in the vicinity of these points.

Learn more about   Green's Theorem : brainly.com/question/27549150

#SPJ11

False. The bandwagon fallacy is when someone believes that an argument is valid because most people believe it to be true.

The idea is that since everyone believes it, then it must be true. It is also called an argument from popularity, argumentum ad populum, appeal to the masses, appeal to belief, and consensus fallacy.The fallacy occurs when one claims that an idea is true or false because many other people believe it to be so.

The fallacy works because humans are social animals and they tend to believe things that others believe. Therefore, when people see that many others believe in an idea, they are more likely to accept it as true without giving much thought to whether it is actually true or not. The bandwagon fallacy is a logical error because the truth of an idea does not depend on how many people believe it.

To know more about most visit:

https://brainly.com/question/438014

#SPJ11

Ight Imma head out because I have no idea what you're saying

The solution of 5x² + 20x -7 =0 is ±√(27+5) - 2.

What is an equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical declaration that illustrates the equality of two mathematical expressions.

The given equation is

5x² + 20x -7 =0

Take 5 common from the first two terms:

5(x² + 4x) -7 =0

Add 7 on both sides:

5(x² + 4x) -7+7 =0 + 7

5(x² + 4x) = 7

Add and subtract 4:

5(x² + 4x + 4 - 4) = 7

5(x² + 4x + 4) - 5×4 = 7

Apply the formula (a+b)² = a² + 2ab +b²

5(x +2)²  = 7 + 20

5(x +2)² = 27

Divide both sides by 5:

(x +2)² = 27/5

Take square root on both sides:

x+2 = ±√(27+5)

Subtract 2 from both sides:

x = ±√(27+5) - 2

To learn more about quadratic equations by completing the square, click on the below link:

https://brainly.com/question/7703298

#SPJ1

Step-by-step explanation:

Hey there!

The given equation is;

-3x+4y = 2

Now, from this equation;

\(slope(m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} \)

\(m = \frac{ - ( - 3)}{4} \)

\(m = \frac{3}{4} \)

As we know that the slope of line which are parallel to eachother is equal.

Therefore, the slope of the equation which is parallel to the equation is 3/4.

Hope it helps....

Option C: 0.8889 is the probability of choosing an orange marble and a green marble.

So there are in total 10 marbles.

Two marbles can be chosen in \(^{10}C_2\) ways = 90/8

Now the favorable event is when one green marble and one orange marble  is chosen. The number of ways this can be done is \(^{2}C_1 \times ^{2}C_1 = 4\)

The resultant probability is calculated by:

\(P(E) = \dfrac{Number \:of\: Favourable \:cases}{ Number\: of\: total \:cases}\\= \dfrac{4}{\frac{90}{2}}\\\\= \dfrac{8}{90}\\\\\approx 0.08889\)

Thus the needed probability is 0.08889 given by option C.

Learn more here:

https://brainly.com/question/13038567

Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

The transfer function matrix can be computed by taking the Laplace transform of the state space equations, while the polynomial characteristics and its roots can be obtained by finding the determinant of the matrix (sI - A).

The transfer function matrix that relates all the input variables u to system variables x can be computed by taking the Laplace transform of the state space equations. This involves applying the Laplace transform to each equation individually and rearranging the equations to solve for the output variables in terms of the input variables. The resulting matrix will represent the transfer function relationship between u and x.

To compute the polynomial characteristics and its roots, we need to find the characteristic polynomial of the system. This can be done by taking the determinant of the matrix (sI - A), where s is the complex variable and I is the identity matrix. The resulting polynomial is called the characteristic polynomial, and its roots represent the eigenvalues of the system. By solving the characteristic equation, we can determine the stability and behavior of the system based on the values of the eigenvalues.

Learn more about transfer function

brainly.com/question/31326455

#SPJ11

Answer:

multiply the base and add the exponents

hope it will be helpful.......

Answer: 28

Step-by-step explanation: Plugging them in, it would be -2 - (-6)(5).

- 2 - (-30)

-2 + 30

28

Answer:

D

Step-by-step explanation:

I hope this helps you out!

Step-by-step explanation:

In geometry, we have many formal definitions using defined words or terms. However, I can think of three words that are not formally defined. These words are point, line and plane. Even though these words are undefined we can describes them as follows:

1. Point. A point is an exact position or location in space.

It is important to understand that a point has no dimension (that is, actual size). So, it has no length, no width, and no height (thickness).

We usually named a point with a capital letter. In the coordinate plane, a point is named by an ordered pair, x,y .

Even though we represent a point with a dot, the dot can be very tiny or very large. Recall that a point has no size.

2. Line (Straight line)

A line has no thickness.

So, its length extends in one dimension.

The line extends in both directions without end (infinitely). A line has infinite length and has no width, no height.

We assume the line to be straight.

and can be drawn with arrowheads on both ends.

3. Plane

A plane is a flat surface with no thickness extending indefinitely in all directions and having two dimensions. So, it has infinite length, infinite width and has no height (thickness). Moreover, a plane is drawn as a four-sided figure resembling a parallelogram.

The representation of each concept is shown in the Figure below.

Answer:

\(\sqrt{13}\)

Step-by-step explanation:

let the 3rd side, the hypotenuse, be x

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )

x = \(\sqrt{13}\)

Answer:

Step-by-step explanation:

It is a right triangle and you have the measure of the cathets, we use the Pythagorean theorem

√(3² + 2²) =

√(9 + 4) =

√13

Answer:

£159.82

Step-by-step explanation:

To decrease £262 by 39%, you must find 100% of £262

Now, subtract 39% from 100%

Now, multiply £262 by 61%

-Chetan K

Answer:

(x + 4)^2 + (y - 1)^2 = 61.

Step-by-step explanation:

We need to find the square of the radius and the coordinates of the center.

Center = (-10 + 2)/2 , (-4 + 6)/2

= (-4, 1).

Length of the diameter

=  √((-10-2)^2 + (-4-6)^2)

= √(144 + 100)

=√244

So the radius = √244/2

and r^2 = 244/4 = 61,

So the equation of this circle is:

(x - (-4)^2 + (y - 1)^2 = 61

(x + 4)^2 + (y - 1)^2 = 61.

(x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given coordinates of the diameter of circle are  (-10,-4) and (2,6)

Diameter=√(x₂-x₁)²+(y₂-y₁)²

x₂=2,x₁=-10, y₁=-4, y₂=6

Diameter=√(2-(-10))²+(6-(-4))²

=√(12)²+(10)²

=√144+100

=√244

We know that Radius=Diameter/2

R=√244/2

Squaring both sides

R²=244/4

R²=61

So the equation of this circle is:

(x - (-4)² + (y - 1)² = 61

(x + 4)²+ (y - 1)² = 61.

Hence (x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

To learn more on Circles click:

https://brainly.com/question/11833983

A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

Learn more about differentiating here:

https://brainly.com/question/24898810

#SPJ11

Answer: Second Pic, Probably the third.

Step-by-step explanation: little bit of guesswork