The gerneral form of the equation of a circle is x^2 + y^2 + 8x + 22y + 37=0
The equation of this circle in standard form is (x + *blank*)^2 + (y + *blank* )^2 = *blank

Step-by-step explanation:

The standard sets of numbers can be expressed in all the three forms of representation of a set i.e., statement form, roster form, set builder form.

1. N = Natural numbers

= Set of all numbers starting from 1 → Statement form

= Set of all numbers 1, 2, 3, ………..

= {1, 2, 3, …….} → Roster form

= {x :x is a counting number starting from 1} → Set builder form

Therefore, the set of natural numbers is denoted by N i.e., N = {1, 2, 3, …….}

2. W = Whole numbers

= Set containing zero and all natural numbers → Statement form

= {0, 1, 2, 3, …….} → Roster form

= {x :x is a zero and all natural numbers} → Set builder form

Therefore, the set of whole numbers is denoted by W i.e., W = {0, 1, 2, .......}

3. Z or I = Integers

= Set containing negative of natural numbers, zero and the natural numbers → Statement form

= {………, -3, -2, -1, 0, 1, 2, 3, …….} → Roster form

= {x :x is a containing negative of natural numbers, zero and the natural numbers} → Set builder form

Therefore, the set of integers is denoted by I or Z i.e., I = {...., -2, -1, 0, 1, 2, ….}

4. E = Even natural numbers.

= Set of natural numbers, which are divisible by 2 → Statement form

= {2, 4, 6, 8, ……….} → Roster form

= {x :x is a natural number, which are divisible by 2} → Set builder form

Therefore, the set of even natural numbers is denoted by E i.e., E = {2, 4, 6, 8,.......}

5. O = Odd natural numbers.

= Set of natural numbers, which are not divisible by 2 → Statement form

= {1, 3, 5, 7, 9, ……….} → Roster form

= {x :x is a natural number, which are not divisible by 2} → Set builder form

Therefore, the set of odd natural numbers is denoted by O i.e., O = {1, 3, 5, 7, 9,.......}

Therefore, almost every standard sets of numbers can be expressed in all the three methods as discussed above.

Answer:

See below

Step-by-step explanation:

1) x=2-1

x=1

2) (x+1)(x+1)=2(x+1)

3) 10x-20 -11 = 4+3x

10x-3x=20+11+4

7x=35

x=5

The equation for a cosecant function with vertical asymptotes found at x = nπ such that n is an integer is `y = csc(x - nπ)`.

The cosecant function is the reciprocal of the sine function. The cosecant of a particular angle in a right triangle is the ratio of the hypotenuse to the side opposite the angle.

The cosecant function is written as follows: `csc(x) = 1/sin(x)`

Asymptotes are straight lines or curves that a graph approaches but never touches.

As a result, the graph of a curve gets closer and closer to the asymptote as it moves further away from the origin, but it never touches it.

For a function to have vertical asymptotes at `x = nπ`, the denominator of the function should equal zero. In the cosecant function, the denominator is equal to `sin(x - nπ)`.

Therefore, the vertical asymptotes are where `sin(x - nπ) = 0`.

The general form of the cosecant function is `y = A csc(B(x - C)) + D`.

The constants A, B, C, and D are used to alter the form of the graph of the cosecant function.

They can be used to alter the amplitude, period, phase shift, and vertical displacement of the graph, respectively.

Learn more about cosecant  here: https://brainly.com/question/20965083

#SPJ11

Answer:

(-3,4) is the right answer i think im not sure nvm im positive that this is the right answer.........i think

Answer:

C

Step-by-step explanation:

\(\sqrt{2}\) and \(\frac{1}{\sqrt{2}}\) are both irrational, but they multiply to 1, which is rational

The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

For more questions on the area

https://brainly.com/question/17677554

#SPJ4

The combination p AND (NOT q) is true when p is true and q is false, and false otherwise.

The statement "p AND (NOT q)" means that both p is true and q is false.

When p is true ("The pond is not frozen over") and q is true ("The fish are not jumping"), then (NOT q) is false, so the combination p AND (NOT q) is false.

When p is true and q is false ("The fish are jumping"), then (NOT q) is true, so the combination p AND (NOT q) is true.

When p is false ("The pond is frozen over"), then the combination p AND (NOT q) is false regardless of the truth value of q.

Therefore, the combination p AND (NOT q) is true when p is true and q is false, and false otherwise.

To learn more about statement visit:

https://brainly.com/question/29582805

#SPJ11

Answer:

-3

Step-by-step explanation:

Answer:

x+(x-1.25)+\(\frac {1}{2}x\)=4.27

Step-by-step explanation:

Let x represent the cost of the binder, and continue from there.

The equation that represents this situation is 4.75 = 2.5x - 1.25x.

Let the cost of the binder be represented with x.

The cost of the folder is \(\frac{1}{2}\)x = 0.5x

The cost of the highlighter = x - $1.25

The total cost of the items = cost of binder + highlighter + folder

4.75 = x + 0.5x + x - 1.25

Add similar x terms together

4.75 = 2.5x - 1.25x

To learn more about how to determine the total cost of an item, please check: https://brainly.com/question/25879561

Answer:

x=65*

Step-by-step explanation:

theres a small rectangle near x and it means that the angle is 90*

and the upper angle is 180

180+90+25+x=360*

x=65*

Answer:

∠x=65°

Step-by-step explanation:

The angles given are complementary angles ( 90°).

25°+∠x=90°

∠x=65°

Step-by-step explanation:

\( \frac{68}{23} \)

\( = 2.956521739130434\)

\( = 2.956521739130434 \times 100\)

= 295.6521739130434%

=296%

Answer:

296%

Explanation:

→ 68/23

to turn it unto fraction, multiply it by 100

→ 68/23 * 100

simplify

→ 6800/23

divide the number

→ 295.65

final answer in percentage

→ 296%

The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

Learn more about half life period:

brainly.com/question/20309144

#SPJ4

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer: 2 4/15 months

Step-by-step explanation:

From the question, we are informed that a wagon train traveled from Missouri to Wyoming in 1 2/3 months and from Wyoming to Utah in 3/5 month.

The number of months that it will take the wagon train to travel from Missouri to Utah will be:

= 1 2/3 + 3/5

The common lowest multiple is 15

= 1 10/15 + 9/15

= 1 19/15

= 1 + 1 4/15

= 2 4/15 months

It will take they train 2 4/15 months to travel from Missouri to Utah.

Answer:

a

Step-by-step explanation:

both the end points are around the same number

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

Learn more about diameter

https://brainly.com/question/28162977

#SPJ4

An example of a +f(pxq) with integer coefficients that factors (poly mod nq), but has no roots is (x^2 + 1)(x^2 + 2). This polynomial satisfies the given conditions and demonstrates that it is possible to have a polynomial with integer coefficients that factors modulo n, but has no roots.

Let's consider the polynomial f(pxq) = (x^2 + 1)(x^2 + 2).
1. This polynomial has integer coefficients as both factors have integer coefficients.
2. Now, let's consider taking the modulo n, where n is any positive integer.
3. Since the modulo operation only affects the coefficients, we will still have a polynomial with integer coefficients after taking the modulo.
4. However, there are no integers x for which f(pxq) = 0 (poly mod n), as the factors x^2 + 1 and x^2 + 2 do not have any integer roots.

To know more about modulo operation visit:

https://brainly.com/question/30264682

#SPJ11

True, a data warehouse allows users to specify certain dimensions or characteristics.

In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.

Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.

For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.

By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.

By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).

Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.

In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

The a = 0.Substituting the values of a, b, and c in the general equation, we get:y = 0x² + 2x + 3The quadratic function is:y = 2x + 3Answer: The quadratic function is y = 2x + 3.

The given table illustrates the values of a quadratic function. Here is how you can find the quadratic function:Step 1: Write the general form of a quadratic function y = ax² + bx + c, where y is the dependent variable and x is the independent variable. a, b, and c are constants that affect the shape and position of the parabola.Step 2: Substitute the values from the table for x and y to form a system of equations.Step 3: Solve the system of equations to find the values of a, b, and c. Once you have found these values, substitute them into the quadratic equation to get the quadratic function.

The given table is as follows:x   |  0   |  2   |  4  |   6y   |  3   |  1   |  -1  |   -3Step 2:Form a system of equations using the values in the table. Here are the equations:y = a(0)² + b(0) + cy = a(2)² + b(2) + cy = a(4)² + b(4) + cy = a(6)² + b(6) + cStep 3:Solve the system of equations.Using the first equation, y = c. Hence, we have:y = 0²a + 0b + c3 = cThe value of c is 3.Using the second equation, we have:y = 2²a + 2b + 3y = 4a + 2b + 3Subtracting the two equations, we get:- 2a - b = - 2a + b = 2b = 4Therefore, b = 2.Substituting the values of b and c into the first equation, we get:3 = a(0)² + 2(0) + 3

for more search question equation

https://brainly.com/question/29174899

#SPJ8

The p-value will be 0.9457

Sample size = 49

Meantime = 19 minutes

Standard deviation = 3.9 mins

Calculating the z-score for test statistic -

z = (x - μ) / (s / √n)

z = (19 - 18) / (3.9 / √49)

= 1 / 0.63

= 1.58

To find the p-value, we can use a standard normal table to find area under the normal curve of the z-score.

The p-value will be the area under the curve to the right of 1.58.

This value is 0.9457, which means that there is a 94.57% chance.

Now,

Since the p-value is greater than the significance level (0.9457 > 0.05),  the null hypothesis can not be rejected. Therefore, the mean time parents spend posting pictures of their children per week is not significantly different from 18 minutes at the 5% significance level.

Read more about p-value on:

https://brainly.com/question/28027137

#SPJ4

Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.

A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.

Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.

Therefore, the minimum number of triangular faces of a regular polyhedron is = 4

Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.

A polyhedron having equal quadrilateral faces is known as regular hexahedron.

quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula

F + V-E = 2

=> F + 6- 100= 2 => F = 96 maximum faces possible = 96

Now the difference between maximum and minimum number of faces = 100 - 4 = 96

So the difference between maximum and minimum faces is 96.

To learn more about Polyhedron, refer:

https://brainly.com/question/27231951

#SPJ4

The general solution of the differential equation dy/dt = 27t^8 is y = 3t^9 + c, where c is the constant of integration.

To find the general solution of the given differential equation dy/dt = 27t^8, we integrate both sides with respect to t. The integral of 27t^8 with respect to t is (27/9)t^9 + c, where c is the constant of integration. Simplifying, we have (3t^9 + c) as the general solution of the differential equation.

To check the result, we can differentiate y = 3t^9 + c with respect to t and see if we obtain dy/dt = 27t^8. Taking the derivative of 3t^9 + c with respect to t gives us 27t^8, which matches the right-hand side of the original differential equation. Therefore, the solution y = 3t^9 + c satisfies the given differential equation, confirming its validity.

Learn more about Integration here: brainly.com/question/31744185

#SPJ11

Answer:

k = 29

29 + 6 = 35

-3 + 5 = 2

35 + 2 = 37

Answer:

b ≈ 8.49

Step-by-step explanation:

A^2 + b^2 = c^2.   (Pythagorean theorem)

c is the hypotenuse or the longest side of a triangle.

a and b are the other 2 sides.

17^2 + b^2 = 19^2

289 + b^2 = 361

289 + b^2 - 289 = 361 - 289

b^2 = 72

b ≈ 8.49

Have a great day!

we need to find the parametric equations for the tangent line at the point (cos(56π),sin(56π),56π) on the curve x = cos(t), y = sin(t), z = t.

To find the tangent line, we need to calculate the derivatives of x(t), y(t), and z(t) with respect to t. The derivatives give us the slopes of the tangent line in each direction. Then, we can use the point-slope form of a line to obtain the parametric equations.

The derivative of x(t) is -sin(t), the derivative of y(t) is cos(t), and the derivative of z(t) is 1. Using these derivatives, we can construct the parametric equations for the tangent line passing through the given point.

To know more about tangent line here: brainly.com/question/31617205

#SPJ11

The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.

Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:

24 * d^2u/dt^2 = 108 cos(4t)

Simplifying, we have:

d^2u/dt^2 = 4.5 cos(4t)

This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.

The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).

The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).

By substituting u_p(t) into the differential equation, we can determine the values of A and B.

Solving the differential equation for the particular solution, we find:

A = 18 and B = 0

The complete solution for the position of the mass in feet is:

u(t) = (18 cos(4t)) / 4

Simplifying further, we get:

u(t) = 4.5 cos(4t)

Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

To learn more about mass click here, brainly.com/question/30940568

#SPJ11

Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

Answer:

s ≤ 60 - (3 ÷ 1/15)

s <= 15

Step-by-step explanation: