What is the equation of this circle in standard form?

Responses

Answer:

45.) 45

46.) 2

47.) 16

48.) 8

49.) 10

50.) 11

51.) 16

52.) 6

53.) 55

54.) 14

Step-by-step explanation:

Step-by-step explanation:

To find the area of the whole mosaic, we need to multiply the length by the width. In this case, the mosaic is a 7 x 7 array of square tiles, and each tile is 1 ft long.

Area = Length × Width

Area = 7 ft × 7 ft

Area = 49 square feet

So, the area of the whole mosaic is 49 square feet.

Answer:

Solving steps:

18) 16a²b - 8abc + 4ab²c²

=> 4ab(4a - 2c + bc²)

19) 3x³ + 3x² - 3x

=> 3x(x² + x - 1)

20) 2abx² + 3abx³ - 4abx\( {}^{4} \)

=> abx²(2 + 3x - 4x²)

The length of the rectangle is, (x + 5).

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The area of a rectangle is (x² + 4x - 5).

And, The width of rectangle = (x - 1)

Now, We know that;

In a rectangle;

⇒ Area of rectangle = Length × Width

Substitute given values,

⇒ (x² + 4x - 5) = Length × (x - 1)

⇒ (x² + 5x - x - 5) = Length × (x - 1)

⇒ x(x + 5) - 1 (x + 5) = Length × (x - 1)

⇒ (x + 5) (x - 1) = Length × (x - 1)

⇒ (x + 5) (x - 1) / (x - 1) = Length

⇒ Length = (x + 5)

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The central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

To find the central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):

Central angle (in degrees) = (Arc length / Radius) * (180 / π)

Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.

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The relationship between them is defined by P3(x) = xP2(x) + (x^3)/3

The Maclaurin polynomial of degree 2 for f(x) = ex is given by:

P2(x) = 1 + x + (x^2)/2

The Maclaurin polynomial of degree 3 for g(x) = xex is given by:

P3(x) = x + x^2 + (x^3)/3

Comparing the two polynomials, we can see that they have some similarities. Both polynomials have terms involving x, x^2, and a coefficient of 1. However, the Maclaurin polynomial for g(x) also includes a term involving x^3, while the Maclaurin polynomial for f(x) does not.

In terms of the relationship between the two polynomials, we can say that the Maclaurin polynomial for g(x) includes the Maclaurin polynomial for f(x) as a subset. Specifically, we can see that:

P3(x) = xP2(x) + (x^3)/3

In other words, we can obtain the Maclaurin polynomial for g(x) by multiplying the Maclaurin polynomial for f(x) by x and adding a term involving x^3/3.

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Answer:

(-4, 2).

Step-by-step explanation:

8x + 5y=-22

-3x - 5y = 2   Adding the 2 equations:

5x = -20

x = -4.

Substitute x = -4 in the first equation:

8(-4) + 5y = -22

5y = -22 + 32

5y = 10

y = 2.

Answer:

\(x=-4,\:\\y=2\)

Step-by-step explanation:

\(\begin{bmatrix}8x+5y=-22\\ -3x-5y=2\end{bmatrix}\\\mathrm{Multiply\:}8x+5y=-22\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:24x+15y=-66\\\mathrm{Multiply\:}-3x-5y=2\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:-24x-40y=16\\\\\begin{bmatrix}24x+15y=-66\\ -24x-40y=16\end{bmatrix}\\\\-24x-40y=16\\+\\\underline{24x+15y=-66}\\-25y=-50\\\begin{bmatrix}24x+15y=-66\\ -25y=-50\end{bmatrix}\\-25y=-50\\\mathrm{Divide\:both\:sides\:by\:}-25\\\frac{-25y}{-25}=\frac{-50}{-25}\\y=2\\\)

\(\mathrm{For\:}24x+15y=-66\mathrm{\:plug\:in\:}y=2\\24x+15\times\:2=-66\\24x+30=-66\\24x+30-30=-66-30\\24x=-96\\\frac{24x}{24}=\frac{-96}{24}\\x=-4\\\\\\x=-4,\:y=2\)

Answer:(x+3)=2x

Step-by-step explanation:

Answer:

shoukd be 15

Step-by-step explanation:

Answer:

9.6

Step-by-step explanation:

10 - 4/10 = 9 6/10

9 6/10 = 15

Answer:

6

Step-by-step explanation:

2+r=4

4x4=16

16+r=18

18-12=6

Answer:

6

Step-by-step explanation:

r + 4(2 + r) - 12 =

2 + 4(2 + 2) - 12 =

2 + 4(4) - 12 =

2 + 16 - 12 =

18 - 12 =

= 6

Answer:

10.4

Step-by-step explanation:

Because 94 divided 9= 10.4

Hello there!

If there are 94 Cards in one deck, then there are (94*9) cards in 9 decks.

94*9=846

So there are 846 cards in 9 decks.

Hope this helps!

#HaveAnAmazingDay

\(GraceRosalia\\*******************************************\)

Additional comment

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The significance of the U. S. Supreme Court decision in Marbury v. Madison (1803) is It established the power of the Court to declare an act of Congress unconstitutional, the correct option is C.

We are given that;

The four options

Now,

According to the search results, the significance of the U.S. Supreme Court decision in Marbury v. Madison (1803) was that it established the principle of judicial review, meaning that the U.S. Supreme Court and other federal courts have the power to strike down laws and statutes that they find to violate the Constitution of the United States. It also defined the boundary between the executive and judicial branches of the federal government and made the U.S. Constitution the actual law, not just a statement of political principles and ideals. Marbury v. Madison is regarded as one of the foundations of U.S. constitutional law.

Therefore, by the unitary method the answer will be It established the power of the Court to declare an act of Congress unconstitutional.

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The standard form of the equation of an ellipse is a useful representation that helps describe its shape and characteristics.

Standard form of the equation of an ellipse is given by:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

where (h,k) represents the center of the ellipse, 'a' is the length of the semi-major axis, and 'b' is the length of the semi-minor axis.

To find the standard form of the equation, you need the coordinates of the center and the lengths of the semi-major and semi-minor axes. Let's assume the center of the ellipse is (h,k), the length of the semi-major axis is 'a', and the length of the semi-minor axis is 'b'. Then the standard form equation becomes:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

The standard form of the equation of an ellipse is a useful representation that helps describe its shape and characteristics. By knowing the center and the lengths of the semi-major and semi-minor axes, you can easily write the equation in standard form, allowing for further analysis and calculations.

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The curve is defined by x = 4t^2 + 3 and y = t^8. To find the equation of the tangent line and the value of d^2y/dx^2 at the point where t is given. Therefore, the value of d^2y/dx^2 at the given point is 7.

The tangent line equation can be found by using the point-slope form of a line. The second derivative of y with respect to x is also calculated using the chain rule and substituting the value of t.

We are given that x = 4t^2 + 3 and y = t^8. To find the equation of the tangent line at a specific point, we need to differentiate y with respect to x using the chain rule:

dy/dx = dy/dt / dx/dt

Using the power rule of differentiation, we get:

dy/dt = 8t^7

dx/dt = 8t

Substituting the value of t at the given point, we get:

dy/dx = (8t^7) / (8t) = t^6

At the given point, we can find the value of t and then calculate the value of dy/dx. For simplicity, we assume that t = 1. Therefore, dy/dx = 1^6 = 1.

Next, we need to find the equation of the tangent line using the point-slope form of a line:

y - y1 = m(x - x1)

where (x1, y1) is the point of tangency and m is the slope of the tangent line.

Substituting the values of x1, y1, and m, we get:

y - t^8 = (dy/dx)(x - 4t^2 - 3)

y - 1 = (x - 4t^2 - 3)

Therefore, the equation of the tangent line is y = x - 4t^2 + 4.

Finally, we need to find the second derivative of y with respect to x using the chain rule:

d^2y/dx^2 = d/dx (dy/dx)

d^2y/dx^2 = d/dt (dy/dx) / dx/dt

Using the power rule of differentiation, we get:

d^2y/dt^2 = 56t^6

dx/dt = 8t

Substituting the value of t at the given point, we get:

d^2y/dx^2 = (56t^6) / (8t) = 7t^5

Again, assuming that t = 1, we get d^2y/dx^2 = 7. Therefore, the value of d^2y/dx^2 at the given point is 7.

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Jon wants total change in his weight was over these three months was a loss of 3.2 kilograms.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent Jon initial weight in kg and y represent his final weight. gained 2 kilograms in December, lost 1.5 kilograms in January and then he lost another 3.7 kilograms in February.

Hence:

y = x + 2 - 1.5 - 3.7 = x - 3.2

Jon wants total change in his weight was over these three months was a loss of 3.2 kilograms.

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Step-by-step explanation:

x+5=36

or, x=36-5

or, x=31

The value of x=31

Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

An oblique asymptote is a slanted line that the function approaches as x approaches ∞ or -∞ .

Thus, the equation for an oblique asymptote with slope m and y-intercept b will be:

Consider the following graph:

According to this picture, there is an oblique asymptote that passes through the points (X2, Y2)=(2,-4) and (X1, Y1) = (0,0). Then, the slope m of this asymptote is:

Now, notice that the oblique asymptote that passes through the origin, thus the y-intercept of this line would be

then, the equation for the oblique asymptote is:

we can conclude that the correct answer is:

Answer:

b. r = 18%

Step-by-step explanation:

0.3(0.82)^x:

0.3(0.82)^x:

The 0.82 is getting affected since it is raised to the power of x

Hence, for every iteration of x, the object is becoming 82% of itself.

100%-82%=18%

r = 18% ==> b

Option B is correct, 18% is the  rate of decay of the exponential function f(x) = 0.3(0.82)ˣ

A relation is a function if it has only One y-value for each x-value.

The exponential function f(x) = 0.3(0.82)^x can be written in the form f(x) = a(b)ˣ, where a = 0.3 and b = 0.82.

In an exponential function of the form f(x) = a(b)ˣ

the base b represents the rate of change.

If b is between 0 and 1, then the function represents exponential decay. The rate of decay r can be found using the formula:

r = (1 - b) x 100%

In this case, b = 0.82, so the rate of decay is:

r = (1 - 0.82) x 100%

= 0.18 x 100%

= 18%

Hence, option B is correct, 18% is the  rate of decay of the exponential function f(x) = 0.3(0.82)ˣ

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From the given table, let's complete the stem and leaf plot.

Part (a):

From the given table, we have 27 data.

It consists of just the data for the round-trip commute time for the employees.

Therefore, data were collected for 1 quantitative variable.

Part (b):

The data constitute a sample

Part (c):

To compute the stem and leaf plot, we have:

Stems------------->Leaves

5--------------------> 0, 0, 3, 3, 3, 4, 7, 7, 9

6----------------------> 0, 1, 3, 4, 5, 7, 8, 8

7------------------------> 0, 3, 4, 4, 5

8------------------------>0, 1, 9

9-------------------------> 0, 4

Part d:

The shape of the data can be said to be right skewed .

7 organisms

Area of lawn that supplies oxygen for a particular multicellular organism = 625 sq ft

Total area of the lawn = 4,375 sq ft

Number of organisms = 4375/625

Number of organisms = 7

A total of 4,375 sq ft of lawn would provide the daily supplies of oxygen for 7 organisms

Answer:

135 is the maximum number of cubes that can be obtained

471.2

The 10 is the diameter and you need the radius to do it so you do diameter dived by 2 which gives you the radius then you the radius to the power of 2

so the formula would be (3.14)(5)²(6)

Answer: 5.176 units

Step-by-step explanation:

x/20 = sin(15)

x = 20*sin(15) = 5.176 units

The character of the string "str1" = part1 will be printed.

The correct option is C.

We have,

str1 = "part1"

str2 = "part2" for x in str1: print (x, end=" " )

The program will print each character of the string "str1" on a separate line, followed by a space.

In this case, the string "str1" is "part1", so the program will print "p a r t 1" (with spaces in between each character).

The string "str2" is not involved in the loop, so it will not be printed.

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Answer:

275

Step-by-step explanation:

Greatest number to lowest number sequence:

275, 262, 26.2

Answer:

which ones do u want me to answer

Step-by-step explanation:

Answer:

10x^2 + 4x - 32

I hope this helps :)

Answer:

10\(x^{2}\)+4x-32

Step-by-step explanation:

5x times 2x =10\(x^{2}\)

5x times 4 = 20x

-8 times 2x = -16x

-8 times 4 =-32

10\(x^{2}\) +20x - 16x - 32

20x -16x = 4x

10\(x^{2}\) + 4x - 32

Answer:

1 tea:  £1.20

1 coffee: £1.50

Step-by-step explanation:

Let's t represent teas and c represent coffees; we have the equations

2t + 3c = 6.90

4t + 7c = 15.30

We multiply the first equation by -2

-4t - 6c = -13.80

4t + 7c = 15.30

c = £1.50

Now we put 1.50 in for c and find the price for one tea.

2t + 3(1.50) = 6.90

2t + 4.5 = 6.90

2t = 2.4

t = £1.20