Write the number shown in standard notation.
6.94 x 106
A) 694
B) 6,940,000
C) 694,000,000
OD) 694,000

The point of concurrency of three altitudes of a triangle is called its orthocenter. In the given figure O is the orthocenter.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°.

Here,

The orthocenter of a triangle is the place at which three altitudes intersect. In the diagram, O represents the orthocenter.

To know more about triangle,

https://brainly.com/question/28600396

#SPJ4

The Fourier series expansion of f(t) = l0,0,sin(3t),-1 is:

f(t) = 0.5 + 0.5*sin(3t)

The Fourier series expansion allows us to represent a periodic function as an infinite sum of sinusoidal functions. In this case, we are given the function f(t) = l0,0,sin(3t),-1 and we need to find its Fourier series expansion.

First, let's examine the given function. It has a constant term of 0 and a sinusoidal term with frequency 3 and amplitude -1. The Fourier series expansion of a function consists of a constant term and a sum of harmonic terms with different frequencies.

To find the Fourier series expansion, we need to determine the coefficients of the harmonic terms. Since the constant term is 0, the coefficient for the zeroth harmonic is 0. For the sinusoidal term with frequency 3, the coefficient can be determined using the formula for Fourier series coefficients:

An = (2/T) * ∫[T] f(t) * cos(nωt) dt

where T is the period of the function, ω is the angular frequency (2π/T), and n is the harmonic number. In this case, T = 2π/3 (since the frequency is 3), and n = 1 (since we have the first harmonic). Plugging in the values and integrating, we find that the coefficient A1 is 0.5.

Putting it all together, the Fourier series expansion of f(t) = l0,0,sin(3t),-1 is:

f(t) = 0.5 + 0.5*sin(3t)

This means that the function can be represented as a constant term of 0.5 plus a sinusoidal term with frequency 3 and amplitude 0.5. This expansion allows us to approximate the original function using a finite number of harmonic terms. By including more terms, we can achieve a closer approximation.

Learn more about Fourier series

brainly.com/question/30763814

#SPJ11

Answer:

1/9 or unlikely

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5.5 litres paint needed for 1 stool

1  litres paint needed for  1/ 5.5

20 litres paint needed for  20/5.5

= 3.636

And now comes the twist, you can't paint 3.6 stools. also You can't paint 4 stools. You need to round down to 3

Answer:

A.

Step-by-step explanation:

12 = 1 feet

50 =4ft 2in

Answer:

B. 4 ft 2 in.

Step-by-step explanation:

1 ft = 12 in

50/12 = 4.2

Answer:

-1 , 1 , -2 , - 4

in order its

1, -1 , -2 , -4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Could you help me on my history please

Answer:

563.5

Step-by-step explanation:

it's pretty easy ngl

Answer:

563.5

Step-by-step explanation:

The slope of the median-median line for this dataset is 0.8.

To calculate the slope of the median-median line for this dataset, we need to first calculate the medians of both the x and y variables.

The median of the x variable is (15+16+18+19+20+22)/6 = 17.
The median of the y variable is (15+16+18+19+20+22)/6 = 17.

Next, we need to calculate the slopes of all the lines connecting the pairs of medians (x1,y1) and (x2,y2).
(x1,y1) = (15,16), (x2,y2) = (22,20), slope = (20-16)/(22-15) = 0.8
(x1,y1) = (15,16), (x2,y2) = (22,19), slope = (19-16)/(22-15) = 0.75
(x1,y1) = (15,16), (x2,y2) = (22,22), slope = (22-16)/(22-15) = 1.2
(x1,y1) = (15,18), (x2,y2) = (22,20), slope = (20-18)/(22-15) = 0.4
(x1,y1) = (15,18), (x2,y2) = (22,19), slope = (19-18)/(22-15) = 0.1667
(x1,y1) = (15,18), (x2,y2) = (22,22), slope = (22-18)/(22-15) = 0.6667

We then calculate the median of all these slopes to get the slope of the median-median line.

Median slope = (0.4, 0.6667, 0.75, 0.8, 1.2) = 0.8
Therefore, the slope of the median-median line for this dataset is 0.8.

Know more about the median-median line here:

https://brainly.com/question/27742366

#SPJ11

It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

Here, we have,

given that,

min t_i

x₁ = x₂-u

x₂ = u

-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.

and origin  (0,0) be the begging of the coordinate.

also given that, (x₁, x₂)→ (0,0)

so, min t_i at origin (0,0) = t

Therefore, the generality condition of the situation does not met.

so, we get,

The given system can be represented by the following equations:

x₁' = x₂ - u

x₂' = u

To analyze the behavior of the system, we can examine the dynamics of each variable separately.

For x₁:

x₁' = x₂ - u

The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.

For x₂:

x₂' = u

The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.

Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).

To learn more on rate of change click:

https://brainly.com/question/32765463

#SPJ4

Answer:

- 90/11

Step-by-step explanation:

Answer: 10 times 8 and 8 times 10

Step-by-step explanation:

those are the first in the multiplication table that have the same digits

The value of angle a and b cannot be determined.

option D.

The value of angle a and b is determined by applying the principle of congruent theorem.

If all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.

a = 180 - ( 60 + x ) ( sum of angles in a triangle )

b = 180 - ( 40 + y ) ( sum of angles in a triangle )

Since the values of x and y are not know, it is impossible to say what the values of angle a and angle b are.

So, the value of a and b cannot be determined, more information is needed.

Learn more about sum of angles in a triangle here: https://brainly.com/question/22262639

#SPJ1

To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

By using the concept of function, it can be calculated that-

f(2-5) = -7

Option E is correct

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Given,

The function is

\(f(x) = - x^2 + 2\)

f(2-5) = f(-3)

         = \(-(-3)^2 + 2\\\)

         = -9 + 2

         = -7

The value of f(2-5) is -7

Option E is correct

To learn more about function, refer to the link:

https://brainly.com/question/22340031

#SPJ1

The probability that two or more of the events will occur is 0.683594.

The probability that two or more of the events will occur is equal to 1 minus the probability that none of the events will occur. Since the probability of each event occurring is 0.25, the probability that none of the events will occur is (1 - 0.25) * (1 - 0.25) * (1 - 0.25) * (1 - 0.25) = 0.316406. Therefore, the probability that two or more of the events will occur is 1 - 0.316406 = 0.683594.

Alternatively, you can find the probability that two or more of the events will occur by adding up the probabilities of each of the ways that two or more of the events can occur.

There are four ways that two events can occur (for example, event A and event B), six ways that three events can occur (for example, event A, event B, and event C), and four ways that all four events can occur.

Thus, the probability that two or more of the events will occur is (4 * 0.25 * 0.25) + (6 * 0.25 * 0.25 * 0.25) + (4 * 0.25 * 0.25 * 0.25 * 0.25) = 0.683594, which is the same result as before.

Learn more about Probability here:

https://brainly.com/question/13604758

#SPJ4

The surface area of a cube with a side length of 8 inches is 384 square inches.

A cube is a three-dimensional object with six congruent square faces. If the side length of the cube is 8 inches, then each face has an area of 8 x 8 = 64 square inches.

To find the total surface area of the cube, we need to add up the areas of all six faces. Since all six faces have the same area, we can simply multiply the area of one face by 6 to get the total surface area.

Total surface area = 6 x area of one face

= 6 x 64 square inches

= 384 square inches

Therefore, the surface area of a cube with a side length of 8 inches is 384 square inches.

Learn more about " total surface area" : https://brainly.com/question/28178861

#SPJ11

Answer:

\(k<1, k>5\)

Step-by-step explanation:

\(3x+1=x^2+kx+2 \\ \\ x^2+x(k-3)+1=0 \\ \\ \Delta>0 \implies (k-3)^2-4(1)(1)>0 \\ \\ (k-3)^2-2^2>0 \\ \\ (k-1)(k-5)>0 \\ \\ k<1, k>5\)

Solution

The graph

The vertex of a parabola is the point at the intersection of the parabola and its line of

symmetry

Any other point is a point on the graph, you can choose any desired point on the graph

The number of different spanning trees for each graph is: a) K3: 1, b) K4: 4, c) K2,2: 2 and d) C5: 5.

a) The complete graph K3 consists of 3 vertices, and in a spanning tree, we need to have exactly 3 vertices connected without forming any cycles. Therefore, K3 has only one possible spanning tree.

b) The complete graph K4 has 4 vertices. To form a spanning tree, we need to connect all 4 vertices without creating any cycles. K4 can be thought of as a tree with 4 branches extending from a central vertex. Each branch can be connected to any of the other vertices. Hence, there are 4 possible spanning trees for K4.

c) The complete bipartite graph K2,2 consists of 4 vertices divided into two sets, each containing 2 vertices. To form a spanning tree, we need to connect all 4 vertices without creating any cycles. Since there are only two possible edges between the two sets, there are only two possible spanning trees for K2,2.

d) The cycle graph C5 consists of 5 vertices arranged in a circular shape. To form a spanning tree, we need to connect all 5 vertices without creating any cycles. Removing any one of the edges from the cycle will result in a tree. Therefore, C5 has 5 different spanning trees.

Therefore, the number of different spanning trees for each graph is:

a) K3: 1

b) K4: 4

c) K2,2: 2

d) C5: 5  

To learn more about spanning trees from the given link

https://brainly.com/question/29998496

#SPJ4

Answer:

x= -2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x+5x if x =5 replace the variable with the key (x=5)

so now the problem reads

5+5*5

acording to oder of operations u do multipcaion 1rst

5+25

30

so ur answer is 30

in the end step by step looks like this

x+5x if x =5

5+5*5

5+25

30

a. The linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

b. If the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

a. Let's first find the slope of the line using the formula:

slope (m) = (y2 - y1) / (x2 - x1)

where (x1, y1) = (117, 73) and (x2, y2) = (180, 80).

slope = (80 - 73) / (180 - 117)

= 7 / 63

= 1/9

Now, let's use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Using the point (117, 73):

T - 73 = (1/9)(N - 117)

Simplifying the equation:

T - 73 = (1/9)N - (1/9)117

T - 73 = (1/9)N - 13

Now, let's rearrange the equation to solve for T:

T = (1/9)N - 13 + 73

T = (1/9)N + 60

Therefore, the linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

(b) If the crickets are chirping at 155 chirps per minute, we can estimate the temperature T using the linear equation we derived.

T(N) = (1/9)N + 60

Substituting N = 155:

T(155) = (1/9)(155) + 60

T(155) = 17.22 + 60

T(155) ≈ 77.22

Therefore, if the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

The answer is A & E

Step-by-step explanation:

quadratic

y=-16x^2 + 150

Answer: A and E

Step-by-step explanation:

edge 2023

The number of days that the second voyage last's is 480 days.

Given,

The discrepancy in the length of the two excursions, we are asked to determine how many days the second voyage lasted.

We initially assign variables in order to overcome this issue. Let the duration of the first cruise be f days and the duration of the second expedition be s days.

We are aware that the first journey lasted 43 days longer than the second.

In mathematics, f = 43 plus s. (I)

The cumulative duration of the two journeys was 1003 days. Mathematically:

f + s = 1003........(ii) (ii)

We transform I into ii

43 + s + s = 1003

43 +2s = 1003

2s = 1003 - 43

2s = 960

s = 960/2 = 480 days

That is,

The second voyage lasted about 480 days

Learn more about number of days here;

https://brainly.com/question/15030303

#SPJ4

Answer:

1.   a = 32.96    m∠B = 21°   b = 12.74

2.   x = 24.99

Step-by-step explanation:

1.   Use the law of sines:

a/sin 112 = 26/sin 47

a = 26 sin 112/sin 47

a = 32.96

m∠B = 180 - 47 - 112 = 21°

b/sin 21 = 26/sin 47

b = 26 sin 21/sin 47

b = 12.74

2.   Use the law of cosines

\(x^{2} = 17^{2} + 11^{2} - 2(17)(11) cos 125\)

    =  289 + 121 - 374 cos 125

    =  624.5175....

x =  \(\sqrt{624.5175...}\)

 = 24.99

Answer:

10,000

Step-by-step explanation:

800 + .07x = 600 + .09x

200 = .02x

10000 = x

Answer:

( c ) x = 2.5

Step-by-step explanation:

\(3(17x - 6.5) = 108\)

divide both side of the equation by 3...

\(17x - 6.5 = 36\)

\(17x = 36 + 6.5\)

\(17x = 42.5\)

\(x = 2.5\)

hence the value of x is 2.5...

The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

Know more about atoms here:

https://brainly.com/question/6258301

#SPJ4

The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?