write an equation of a circle with a radius of 8 and a center of (3,-4)

Derivative of function is 5(2x + 4) * (x² + 4x + 6)⁴.

What is differentiation?

In arithmetic, the derivative of a function of a true variable measures the sensitivity modification of the perform price with relation to a change in its argument. Derivatives are a elementary tool of calculus.

Main body:

by using product rule;

Let = u = x² + 4x + 6

⇒ du/dx = 2x + 4 .

Now y = u⁵

⇒ dy/dx = 5u⁴ .

dy/dx = dy/dx * du/dx = 5u⁴ * (2x + 4)

= 5 * (x² + 4x + 6)⁴ * (2x + 4)

= 5(2x + 4) * (x² + 4x + 6)⁴

hence , derivative of function is 5(2x + 4) * (x² + 4x + 6)⁴.

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Your chances of being killed or injured in such a crash are 5 times greater when you are thrown from your car than when you are buckled up

The safest decision that drivers and passengers can make is to use their seatbelts.

The national seat belt use rate was 90.4% in 2021, indicating that many Americans are aware of the life-saving benefits of seat belts.

In 2017, it is projected that 14,955 lives were saved by seat belt use in passenger automobiles.

Recognize the potentially devastating repercussions of not using a seat belt and discover how to always buckle up properly for you and your family.

Buckling up keeps you safe and secure within your car, whereas not doing so increases your chance of being completely ejected from the vehicle in an accident, which is virtually always fatal.

You need more protection than air bags.

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Answer:lol

Step-by-step explanation:lol

Answer:

125+25n

Step-by-step explanation:

We are given that

Heather opens a bank account with=$125

Each week she deposited money  into her account=$25

We have to find the explicit rule for the amount of money that has Heather after n weeks.

Heather has money after 1 week=125+25=$150

Heather has money after 2 week=125+2(25)=$175

Heather has money after 3 weeks=125+3(25)=$200

Heather has money after n weeks=125+25(n)

Hence, the explicit rule for the amount of money that has Heather after n weeks is given by

125+25n

The vertex of the parabola is (1,2) when the function is f(x) = (x-1)²+2 when the equation for the parabola's axis of symmetry.

Given that,

Give the equation for the parabola's axis of symmetry by sketching the graph of each quadratic function using its vertex and intercepts.

We have to determine the function domain and range using the graph is f(x) = (x-1)²+2

We know that,

Its vertex A quadratic function's form is provided by

f(x) = a(x-h)²+k

So, (h,k) is the vertex of the parabola

Take

f(x) = (x-1)²+2

(1,2) is the vertex of the parabola.

Therefore, The vertex of the parabola is (1,2) when the function is f(x) = (x-1)²+2 when the equation for the parabola's axis of symmetry.

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A function that will match the given graph is; f(x) = 2(x - 5)²(x + 2)

In polynomial graphs, we know that the roots are the points where the graph crosses or touches the x-axis.

In this given graph, we see that the graph touches the x-axis at x = 5 and then crosses the x-axis at x = -2. Thus;

The roots of the equation are -2 and 5.

However, when the graph changes sign at a point on the x-axis, it means that point represents double roots. Thus, we will now have three roots which are -2, 5 and 5. The factors of the polynomial are;

(x + 2), (x - 5)²

Now, we see that when x = 0, y = 100 from the graph. Thus;

a(0 + 2)(0 - 5)² = 100

a(50) = 100

a = 100/50

a = 2

Thus, the equation would now be;

f(x) = 2(x - 5)²(x + 2)

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Using the slope, the required value of k is 48.

In mathematics, the steeper direction of a line is overall processed by the slope or gradient of the line.

A line's slope can be used to determine how steep it is.

Theoretically, the gradient is calculated as "rise over run" (change in y divided by change in x).

Given is a line that crosses through the origin:

y = mx

Let,s take x = -12 and y = -2.

y = mx

-2 = -12m

m = -2/12

m = -1/6

m is the slope.

The equation now:

y = mx

y = -1/6x

Now, insert:
x = k and y = 8

y = mx

8 = -1/6x

x = 6*8

x = 48

Therefore, using the slope, the required value of k is 48.

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Answer:

x = 58, y = 61

Step-by-step explanation:

We can use two properties of a parallelogram to solve this

1. The opposite angles of a parallelogram are equal

2. The sum of the 4 interior angles of a parallelogram equal 360

Using property 1,

Using property 2
(2x - 3) + y + (y + x) + y = 360

3x + 3y + 3 = 360

3x + 3y = 360 - 3 = 357

Divide both sides by 3 to get
x + y = 357/3
x + y = 119  [2]

Add [1] and [2] together to eliminate y and get

x - y + x + y = -3 + 119

2x = 116

x = 116/2 = 58

Use equation [2]

x + y = 119
58 + y = 119

y = 119 - 58

y = 61

Answer:

$8 per person

Step-by-step explanation:

32 divided by 4 is 8

32 : 4 = 8 : 1

Observing the provided equation, We can't solve these equations using substitution method or any other methods because these lines are parallel and never intersect each other.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

x=4-8y

3x+24=12

Taking first equation and rearranging it we get,

x+8y=4

multiply this with 3, we get 3x+24y=12 which are identical in nature. Which shows these two lines are parallel in nature. We can't solve them because parallel lines never intersect.

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Observing the provided equation, We can't solve these equations using substitution method or any other methods because these lines are parallel and never intersect each other.

What do you mean by equations?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

What is a substitution method?

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

x=4-8y

3x+24=12

Taking first equation and rearranging it we get,

x+8y=4

multiply this with 3, we get 3x+24y=12 which are identical in nature. Which shows these two lines are parallel in nature. We can't solve them because parallel lines never intersect.

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(x-2)(x²+9) is set of factors corresponds to a third-degree polynomial with rational coefficients.

What is polynomial?

In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Main body:

as the polynomial with rational coefficients that has zeros x=2 and x=3i

(x-2) and (x-3i) are factors of third-degree polynomial.

so ,

⇒(x-2)(x-3i)

solving (x-3i)

x = 3i

squaring both sides,

x² = -9

so , (x²+9) is a factor.

hence , (x-2)(x²+9) is set of factors corresponds to a third-degree polynomial with rational coefficients.

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Computing on demand, on the cloud, and in real time IT Enviroment is most impacted by Are is known as gird computing.

What is Data Analysis?

Data analysis is the methodical application of logical and/or statistical approaches to describe and demonstrate, summarise and assess, and assess data.

Concept:

Step 1: A network of connected computers that act as a single supercomputer to complete complex tasks like modelling or data analysis is known as gird computing.

Step 2 : On-demand computing is a delivery method in which users are provided with computing resources as needed.

Step 3 : Real-time computing refers to a computer system that responds to an event by completing a task in a predetermined amount of time. a system for air traffic management as an example.

Grid computing, on-demand computing, and real-time computing

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The supplement of BIE equals the supplement of GMD is a false assertion if lines BG and CF are parallel.

Angles with a supplementary sum are those whose sum is 180 degrees. For instance, the total of angle 130° and angle 50° is 180°, hence they are supplementary angles.

Lines BG and CF are parallel, as shown in the figure.

If BIE = X, then its supplement of BIE will be 180 - X;

similarly, if GMD = Y, then its supplement of GMD will be 180 - Y.

Since BG and CF are parallel, the supplements of BIE and GMD are interior angles on the same side ( as shown in figure)

and for parallel line the interior angle on the same side is 180

so 180 - X and 180 -Y there sum should be 180

They cannot be equal

line BG and CF are parallel, then the supplement of BIE = the supplement of GMD are not equal.

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Answer:

Your answer is x = 47.

Step-by-step explanation:

First, you need to move the constant to the right-hand side and change its sign.

4x = 180 + 8

Now, you need to add the numbers.

4x = 188

Last but not least, you need to divide both sides of the equation by 4, which gets you to:

x = 47

A widely used security technology called Transport Layer Protection, or TLS, enables privacy and data security for communications over the Internet. Encrypting communication between online applications and servers, such as when web browsers load a webpage, is one of the main applications of TLS.

When a user accesses a website through HTTPS and the browser initially starts to enquire about the website's origin server, a TLS handshake occurs

Together, the client and server will perform the following during a TLS handshake:

Indicate the TLS version (TLS 1.0, 1.2, 1.3, etc.) they'll be using.

Select the cipher suites they'll employ (see list below).

Using the server's public key and the SSL certificate authority's digital signature, confirm the server's identity.

After the handshake, generate session keys to enable symmetric encryption.

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Answer: D; 360

Step-by-step explanation: To find percentages, I like to set up proportional relationships to find the amount. It would look like this:

[tex]\frac{90}{100}[/tex] = [tex]\frac{?}{400}[/tex]

90=  part %

100= whole %

?= amount of the %

400= all of the item(s)

So, we would cross multiply the 90 and the 400, then divide it by 100. That would be 36,000. So, that divided by 100 leaves us with 360. I hope this helped!

Answer:

The answer is 2x + 6 or 2(x + 3)

Step-by-step explanation:

2/3 (9x + 6) -1/2(8x - 4)

(18x + 12)/3 - (8x + 4)/2

6x + 4 - 4x + 2

Rearrange it

6x - 4x + 4 + 2

Combine like terms

2x + 6

Take 2 as common

2(x + 3)

Thus, The answer is 2x + 6 or 2(x + 3)

The proof that  Δ SVW ≅ Δ UTW is given by ASA congruence criterion.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other.

The symbol of congruence is’ ≅’.

Given:W is the midpoint of SU

⇒ SW = WUTU ⊥ SU and SU ⊥ SV

To prove:Δ SVW ≅ Δ UTW

Proof:In Δ SVW and Δ UTWSW = UW (given)

∠S ≅ ∠U (given)

∠ SVW ≅ ∠ UTW (vertically opposite angle)

Therefore, Δ SVW ≅ Δ UTW (by ASA congruence criterion)

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The average grade received on two tests and the final exam is 78.67%

What is average?

The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average.

The average formula has numerous practical uses. If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points.

Given, the grades in tests are 74% and 82%. Also, the grade on final exam is 80%.

Now, considering that we have to find the average grade in tests and final exams combined, we put the average formula.

Average grade = Sum of percentages of each exam/Total exams

Thus, average is

= (74+82+80)%/3

= 236%/3

= 78.67%

The average grade received on two tests and the final exam is 78.67%.

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The correct option that describes the vertical asymptote is; B: There is a vertical asymptote at x = 4 because Limit of g (x) as x approaches 4 minus = infinity and limit of g (x) as x approaches 4 plus = infinity

A vertical asymptote of a graph is defined as a vertical line x = a where the graph tends toward positive or negative infinity as the inputs approach a.

A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;

In a graph, these vertical asymptotes are given by dashed vertical lines.

An example is a value of x for which the denominator of the function is 0, and the function approaches infinity for these values of x.

We are given the function;

g(x) = 2(x + 4)²/(x² - 16)

Simplifying the denominator gives;

(x² - 16) = (x + 4)(x - 4)

Thus, our function is;

g(x) = 2(x + 4)²/[(x + 4)(x - 4)]

(x + 4 ) will cancel out to give;

g(x) = 2(x + 4)/(x - 4)

Vertical asymptote:

Point in which the denominator is 0, so:

(x - 4) = 0

x = 4

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Ф {0, [3√3/2(3√3-π)]}

The poster above has good diagrams ; so , I will just go through the calculations .

The region of integration is with in the circle x ^2+y^2=2y but outside the circle   x^2+y^2=1.

I would convert to polar . With polar , we have  x^2+y^2=r^2 ,x=rcosФ and        y=rsinФ
We thus have the first circle becomes x^2+y^2=2y ⇒r^2=2rsinФ Divide through by r,  and you get r=2sinФ(1).  
This is the upper circle in the previous posters diagrams .

The other equation of a circle becomes :
x^2 + y^2 =  1  ⇒ r^2 = 1 ⇒ r =  1   (2)      
These two curves intersect at :
r= 2sinФ =1 ⇒     sinФ=1/2  ⇒Ф= [tex]\alpha[/tex]/6 or 5[tex]\pi[/tex]/6    
From the previous poster's diagrams , we can see that there is as much mass on either side of the positive. y axis or
Ф=[tex]\pi[/tex]/2 axis in polar ; so , the X  coordinate of the center of mass is zero  
X=0 We can also see from his diagrams that the mass and moment of mass is symmetrical about the Ф=[tex]\pi[/tex]/2
we only need to integrate from Ф=[tex]\pi[/tex]/6 to Ф=[tex]\pi[/tex]/2  ( the answers from to are the same and double )
The differential of area in polar coordinates is
d A=rdrdФ  They say the area mass density is inversely proportional to the distance from the origin .

This can be written as : p=k/r. We can thus say the differential of mass is
d M=PDA=

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c is the answer. jdjsisiao

With all this information, and reading our question carefully, we can decipher the following:

9(n-3) = 3 + (9n + 3n)

9n - 27 = 3 + (9n +3n) (Step 1. Distributive Property)

9n - 27 = 3 + 12n       (Step 2. Combine like terms; 9n + 3n = 12n)

-9n                  -9n    (Step 3. Subtract 9n from both sides to isolate the variable)

______________

  -27 = 3 + 3n            

     -3      -3               (Step 4. Subtract 3 from both sides)

________________

-30 =       3n                        

 -----         ----

  3            3              (Step 5. Divide 3 from both sides)

________________

 -10 = n

Therefore, n = -10

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Answer:

(-2, 1.5)

Step-by-step explanation:

When graphed their solution is (the point where both the line intercept/touch) (-2,1.5)

I graphed this equations online**

The sum will be an odd integer.

What is an integer?

An integer  is an integer (not a fraction) that is positive, negative, or zero.

In mathematics, integers are collections of integers and negative numbers. Like whole numbers, whole numbers do not contain fractions. Therefore, we can say that integers are numbers that can be positive, negative, or zero, but which are not fractions.

Let p,q,r be three random numbers

Let S be the sum of two even integers and one odd integer

S = 2p + 2q + (2r + 1)

S = 2p + 2q + 2r + 1

S = 2(p+q+r)+1

This shows that S is odd integer for all values ​​of p,q,r

Therefore, the sum will be an odd integer.

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Answer:

I was willing to pay $20 more for the toy than I actually paid.

Step-by-step explanation:

Let us take the maximum bid be y

So,

(y × 60) ÷ 100 = 30

60y/100 = 30

60y/100 × 100 = 30 × 100

60y = 3000

60y/60 = 3000/60

y = 50

60% of $50 is $30

So,

50 - 30 = 20

Thus, I was willing to pay $20 more for the toy than I actually paid.

The required equivalent expression is given as 5(w - 3).

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
An equivalent expression of any expression is given as the simplifying the expression using various operations such as factors.
So,
Given expression,
=  5w - 15
As in the expression 5 is a common term between 5w and 15.
Take 5 commons and put the rest of the expression in the parenthesis.
= 5(w - 3)

Thus, the required expression is 5(w - 3).

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