What parameter domain is required to draw one arch of the cycloid?

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

Write an equation for a circle with a center (-2, 8) and a radius of 9.

Then the equation will be

(x + 2)² + (y − 8)² = 9²

(x + 2)² + (y − 8)² = 81

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The perimeter of television is = 100 inches

The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.

let the length be 16x and width be 9x

area given = 576 sq. inches

16x * 9 x = 576

144 \(x^{2}\) = 576

x = 24/12

x = 2

length = 32

width = 18

perimeter = (32 + 18)*2  =100 inches

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Answer:

I am very confused on this question

Given:

Consider the below figure attached with this question.

To find:

The solution to this linear system.

Solution:

From the below graph it is clear that both lines intersect each other at point (2,3).

Here,

x-coordinate = 2

y-coordinate = 3

Therefore, the solution to the given system is (2,3).

Hence, the required answer for first blank is 2 and for second blank is 3.

The C program for RK 4th order .

C program,

#include<stdio.h>

//differential equation "dy/dx = (y-2*x*y)"

float f(float x, float y)

{

return(y-2*x*y);

}

int main()

{

// Finds value of y for a given x using step size h

int i,n;

float x0,y0,x,h,k1,k2,k3,k4;

printf("Enter the value of x:");

scanf("%f",&x);

//initial value y0 at x0.

printf("Enter the initial value of x & y:");

scanf("%f%f",&x0,&y0);

//step size

printf("Enter the value of h:");

scanf("%f",&h);

//prints the initial value of y at x and step size.

printf("x0=%f\t yo=%f\t h=%f\n",x0,y0,h);

//Count number of iterations using step size or

//step height h

n=(x-x0)/h;

// Iterate for number of iterations

for(i=1;i<=n;i++)

{

//Apply Runge Kutta Formulas to find

//next value of y

k1 = h*f(x0,y0);

k2 = h*f(x0+h/2,y0+k1/2);

k3 = h*f(x0+h/2,y0+k2/2);

k4 = h*f(x0+h,y0+k3);

//Update next value of y

y0 = y0+(k1+2*k2+2*k3+k4)/6;

//Update next value of x

x0=x0+h;

}

//print the value of y at entered value of x.

printf("at x=%f\t,y=%f\n",x,y0);

return 0;

}

Solution of DE,

y' = y - 2xy, y(0) = 1

The task is to find value of unknown function y at a given point x.

Below is the formula used to compute next value yn+1 from previous value yn. The value of n are 0, 1, 2, 3, ….(x – x0)/h.

Here h is step height and xn+1 = x0 + h

\(K_{1} = h f(x_{n} ,y_{n} )\)

\(K_{2} = hf( x_{n} + h/2 , y_{n} + K_{1}/2 )\)

Thus,

\(y_{n+1} = y_{n} + K_{1} / 6 + K_{2} / 3 + K_{3} / 3 + K_{4} / 6 +O(h^{5} )\)

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Answer:

11.6818181818

Step-by-step explanation:

U 2 can help me by marking as brainliest.........

Answer:

75%

Step-by-step explanation:

if i'm wrong i'm really sorry-

uh well i did the math and got 70

Answer:

Mr. Rossi receives a monthly salary of 2000 euros. The company where he works, following a period of profits higher than expected, increases salaries by 6%. Subsequently, due to a period of crisis, salaries are reduced by 6%. After the increase and decrease, how much will Mr. Rossi's salary be? And what is the percentage change in salary compared to the initial salary?

Step-by-step explanation:

I translated it from Italian to English for you.

Answer:

The statement that is true is: The value will be less than 1 because when adding the exponents, 11 + (-14) - -3, and a number in scientific notation with a negative exponent is less than 1.

Answer:

Step-by-step explanation:

System as per the graphed lines:

The are two solutions.

Solve by substitution.

Substitute y into second equation:

Find y:

The best estimate is x = 6.8 and y = 2.1

Correct choice is A

The answer is 406 apples.

2436 apples divided by 6 boxes gives you the number of apples in each box.

Check the picture below.

so the parabola looks more or less like so, with a vertex at (-3 , 10) and the directrix above it at -79/8 or namely -9⅞, now, the directrix is just 1/8 of a unit above the vertex, that's our "p" distance, and since the directrix is above the vertex, the parabola is opening downwards and "p" is negative.

\(\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{p~is~negative}{op ens~\cap}\qquad \stackrel{p~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-3\\ k=-10\\ p=-\frac{1}{8} \end{cases}\implies 4(-\frac{1}{8})(~~y-(-10)~~) = (~~x-(-3)~~)^2 \\\\\\ -\cfrac{1}{2}(y+10)=(x+3)^2\implies y+10=-2(x+3)^2\implies \boxed{y=-2(x+3)^2-10}\)

If sinθ < 0 and cosθ > 0, then θ lies in Quadrant IV.

To determine the quadrant in which θ lies, we can use the signs of the trigonometric functions sine (sinθ) and cosine (cosθ).

In Quadrant I, both sine and cosine are positive.

In Quadrant II, sine is positive and cosine is negative.

In Quadrant III, both sine and cosine are negative.

In Quadrant IV, sine is negative and cosine is positive.

Given that sinθ < 0 and cosθ > 0, we can conclude that θ lies in Quadrant IV. This is because sinθ is negative, indicating a downward direction, and cosθ is positive, indicating a rightward direction. Quadrant IV is the only quadrant where both of these conditions are met.

Therefore, when sinθ < 0 and cosθ > 0, the angle θ lies in Quadrant IV.

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The general standard equation of circle is x²  - 3x + y²  - 0.5y - 0.25 = 0

(x−h) ² +(y-k)²=r²

This is the general standard equation for the circle centered at (h,k) with a radius of r

Circles can also be given in the expanded form, which is simply the result of expanding the binomial squares in the standard form and combining like terms.

The equation of the circle centered at (6/2, 1/2) with a radius of 6/2.

Putting these values in the equation : (x−h) ² +(y-k)²=r²

(x-3)² +(y-0.5)² = 3²

x²  + 9 - 3x + y² + 0.25 - 0.5y = 9

x²  - 3x + y²  - 0.5y - 0.25 = 0

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Answer:

Its because of PEDMAS or PEMDAS (either or)

Step-by-step explanation:

in PEDMAS its Parentheses, exponents, division, multiplication, addition and then subtraction.

You do them by order, meaning that since parentheses is before exponents in PEDMAS its always just going to be before.

Answer:

C) 50

Step-by-step explanation:

x+90+90+y+z=360

270+y+z=360

y+z=90

Therefore, C) 50

Answer:

50 degrees

Step-by-step explanation:

Ah ok so we know that x= 80 degrees.

y+z= x.

So all you have to do is input the values.

80-30=50

Hence the answer is C) 50

Answer:

Jack will weigh 26.52 pounds

Step-by-step explanation:

x = 156 (Your weight on Earth)

y = 0.17 (Surface Gravity)

z = Your weight on the moon

x * y = z

156 * 0.17 = 26.52

Jack will weigh 26.52 pounds.

If Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.

All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.

It is given that,

Gravity on the surface of the moon =  0.17

Weighs of Jack on Earth = 156 pounds

Mass of Jack,

W=mg

156 pounds = m × 9.81     [ g on earth = 9.81 m/s²]

m = 15.902 kg

The weight of Jack on the moon is,

W=  15.902 kg × 0.17

W=2.565 N

Thus, if Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.

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Answer:

the answer is 10

Step-by-step explanation:

*please give me brainliest, i only need four more*

Answer:

-10

I did the math

(-4)-6

Answer: The answer would be t = 5/12

Step-by-step explanation:

1 x 2/3 - t = 1/4
⇒ We need to add fractions.The following rule is applied:This example involves 2 terms.Note that 1 non-fractional terms are treated as fractions with denominator equal to 1. The LCD is equal to:3

2+(-3)t/3 = 1/4

2-3t/3=1/4
-3t+2/3=1/4
⇒ Simple numerical terms are commonly written last.
-3t+2/3=1/2^2
4(-3t+2)=3
-4x3t+4x2=3
⇒ Numerical factors in this term have been multiplied.

-12t+8=3
(-12t+8) + (-8) = 3+(-8)
-12t+8-8=3-8
-12t=-5
12t/12 =5/12
⇒ In order to isolate the variable in this linear equation, we need to get rid of the coefficient that multiplies it.This can be accomplished if both sides are divided by -12 .

Answer: t=5/12

Answer:

(6,1)

Step-by-step explanation:

The polar coordinates of the point are (r, θ) = (6, π/3).

Given the point (3,3√3), let's perform the following operations:

To find the polar coordinates (r, θ) of the point where r > 0 and 0 ≤ θ < 2π:

  - The distance from the origin to the point can be calculated using the formula:\(r = √(x^2 + y^2)\)

    Substituting the given coordinates, we have:\(r = √(3^2 + (3√3)^2) = 6.\)

  To determine the angle θ, we can use the formula: θ = arctan(y/x)

    Substituting the given coordinates, we have: θ = arctan((3√3)/3) = π/3.

To find the polar coordinates (r, θ) of the point where r < 0 and 0 ≤ θ < 2π:

  Since r represents the distance from the origin, it cannot be negative. Therefore, there are no valid polar coordinates for this case.

Given the polar curve r² = 2sin(θ), let's obtain its equivalent Cartesian equation:

  - We can rewrite the polar equation as r² - 2sin(θ) = 0.

  - By substituting r with √(x² + y²) and sin(θ) with y/r, we get the Cartesian equation: x² + y² - 2y = 0.

To convert the equation (x² + y²)² = 4x² - 4y² into a polar equation:

  - First, simplify the equation: x^4 + 2x²y² + y^4 = 4x² - 4y².

  - Replace x² and y² with r²:\(r^4 + 2r^2(sin²θ)(cos²θ) + (sin²θ)(cos²θ) = 4r²cos²θ - 4r²sin²θ.\)

  - Simplify further:\(r^4 + 2r^2sin²θcos²θ + sin²θcos²θ = 4r²cos²θ - 4r²sin²θ.\)

  Therefore, the polar equation is\(r^4 + 2r^2sin²θcos²θ + sin²θcos²θ - 4r²cos²θ + 4r²sin²θ = 0.\)

Given the points (2,4,-1), (-3,1,-2), O(0,0,0), and (-2,-3,-4), let's address the following:

   The midpoint of DC, where D is the midpoint of AB:

      The midpoint of AB is D = ((2 + (-3))/2, (4 + 1)/2, (-1 + (-2))/2) = (-0.5, 2.5, -1.5).

     - The midpoint of DC is E = ((-0.5 + (-2))/2, (2.5 + (-3))/2, (-1.5 + (-4))/2) = (-1.25, -0.25, -2.75).

   A point in the z-axis that is equidistant to both A and B:

      Since A and B lie on the xy-plane (z = 0), the point equidistant to them on the z-axis is Z = (0

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Answer:

Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.

Step-by-step explanation:

a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.

Answer/Step-by-step explanation:

The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.

The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.

Total moves required are 7, as follows:

Three steps up as well as four steps right.

Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.

There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).

For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.

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50x30x9x70jssjgsvebdghxhdbgd

Answer:

Step-by-step explanation:

(5 * 10³) * (9*10⁷) = 5*9 * 10³⁺⁷

                          = 45 * 10¹⁰

                          = 4.5 * 10¹¹

(7*10⁵)÷ (2*10²) =

                         \(\frac{7}{2}*10^{5-2}\\\\=3.5*10^{3}\)

Answer:

y = - 2 + \(\frac{1}{3}\) x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = \(\frac{0+2}{6-0}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)

The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = \(\frac{1}{3}\) x - 2 , or

y = - 2 + \(\frac{1}{3}\) x

Answer:

Proof

Step-by-step explanation:

"The y-intercept is - 2" and now I think the best way to prove the gradient is to prove it mathematically taking coordinates of the line and using:

\(m = \frac{y - y}{x - x} \)

So I'll take the coordinates (6,0) and (0,-2) and substitute them in the formula for the gradient.

\(m = \frac{ - 2 - 0}{0 - 6} = \frac{ - 2}{ - 6} = \frac{1}{3} \)

I hope this helps.

\( \bf Question\)

Write 8,360,000 in scientific notation

8,360,000

After one digit you should mark decimal then count after decimal how many digits are remaining after you get Ans then put your Ans always on 10.

Like this,

8.36× 100,000 = as 8.36 × 10⁶

Am mark decimal after one digit and count how many digits are remaining then am put my ans on 10

So, 8,360,000 written as 8.36 × 10⁶ in scientific notation

See this, there are two pairs one is 8.36 and one is 100,000 in first one we can't write zeros. We write numbers like 1,2,3,4,5,6,7,8,9 but not 0. Like this question is 8,360,000 , our first work is to mark decimal after one digit 8. then we have to notice that after decimal how many number are remaining like 360,000 As, we know we can't write zeros in first pair so we can write only 8.36× now our first pair is done , Second pair is so easy only you have to count digits after decimal 8360,000 So digits are 6 so our final answer is 8.36×10⁶

Always remember in second pair we write remaining no. of digits only on 10 like this 10⁶

8.36 × 10⁶

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Now, can you express 40,000,000,000 in the similar way ?

Count the number of zeros in it. It is 10.

So, 40,000,000,000 = 4.0×10¹⁰

Do you agree with the fact, that the number when written in scientific notation is much easier to read and understand.

The scientific notation of the given number is 8.36×10⁶.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

The given number is 8,360,000.

In scientific notation

8,360,000 = 8.36×10⁶

Therefore, the scientific notation of the given number is 8.36×10⁶.

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