The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.

Answer:

It is the first one 15 is the y intercept slope 8/1

Answer:

A or D

Step-by-step explanation:

I'm pretty sure its D

Answer: 28 per gallon

We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

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The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:The answer is letter E

Step-by-step explanation:

If you divide 4/15 you get 0.2666.

If you solve all of the choices letter E is equivalent to the expression.

The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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Answer:

That would equal 11!!!!

Answer:

3000

Step-by-step explanation:

Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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Answer:

⅓

Step-by-step explanation:

8+7+6

total= 21

blue= 7÷21

1/3

Answer:

1/3

Step-by-step explanation:

total number of marbles 21

blue marbles 7

now ,probability of blue marble =7/21=1 /3

 A store advertises,

"Buy one and get one half off"

Which means if we buy one, half the price of one will be discounted.

In other words "50% discount on each item we buy"

We will $440 for 10 skates.

Original cost of skates = $88

After 50% discount price of one skate = $88 - $44 = $44

Cost of 10 pairs of skates = 44 × 10

                                           = $440

     Therefore, we will pay $440 for 10 skates.

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Answer:

\(\boxed{ \ dY_t=(2\theta+2\psi Y_t+\phi^2)dt+2\phi \sqrt{Y_t}dW_t\ }\)

Step-by-step explanation:

it is a long time I have not applied Ito's lemma

I would say the following

for \(f(x)=x^2\)

f'(x)=2x

f''(x)=2

so using Ito's lemma we can write that

\(dY_t=2V_tdV_t+\phi^2dt\)

\(dY_t=2(\theta+\psi V_t^2)dt+2\phi V_tdW_t+\phi^2dt\)

\(dY_t=(2\theta+2\psi V_t^2+\phi^2)dt+2\phi V_tdW_t\)

so it comes

\(dY_t=(2\theta+2\psi Y_t+\phi^2)dt+2\phi \sqrt{Y_t}dW_t\)

The only value of the angles that could not be the value of the θ is determined as 240⁰.

If sinθ is given as \(\frac{\sqrt{3} }{2}\), then the value of θ is determined as follows;

sinθ = √3/2

sinθ = 0.866

θ = sin⁻¹(0.866)

θ = 60⁰

When the angle is translated in radians, θ  = π/3 = 180/3 = 60⁰

thus, θ  = π/3

2(π/3) = 2(60) = 120⁰

using the following formula, we can obtain the rest;

θ = π/3 + 2πk

when k = 1;

θ = π/3 + 2π(1)

θ = 60 + 2(180)

θ = 420⁰

Thus, the only value of the angles that could not be the value of the θ is determined as 240⁰.

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Given :

Nancy has 1 box of carrots.

Each day, she picks another 1/2 box

So, the number of boxes will every day will increase by 1/2 box

this can be represented by following sequence:

1 , 1 1/2 , 2 , 2 1/2 , ......

The first term is : a = 1

And the common difference : d = 1/2

So, if the number of days = x

And the number of boxes = y

so,

The graph and the table of the equation will be as shown in the following image :

How many boxes of carrots will Nancy have in 6 days ?

When x = 6

The number of boxes = 1/2 * 6 + 1 = 3 + 1 = 4 boxes

An example of a literal equation is ax - by = k. Option D

A literal equation is simply defined as any equation with two or more variables.

A literal equation, in contrast to a regular equation, allows you to solve for a single variable in terms of the others.

To determine the variable that is needed, the equation must be algebraically modified.

Literal equations are also frequently employed in a variety of scientific and mathematical disciplines.

From the information given, we have that;

ax - by = k is a literal equation

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Answer:

13.69%

Step-by-step explanation:

793-54=739

739/54=13.68518519

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer: 42.55

Step-by-step explanation:

15% of $37 is 5.55, add 5.55 to 37.

I could be wrong, and if i am, im sorry <3

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

Answer:

I think it is 4:3

Step-by-step explanation:

From $960,000 take away $720,000 and you get $240,000 and that $960,000 divide by $240,000 and you get 4 and you do the same with $720,000 and you get 3

The requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
During a mayoral election, candidate A spent $960,000 on her campaign, and candidate B spent $720,000 on her campaign.

The ratio of candidate A's campaign spending to candidate B's campaign spending,

= 960000 / 720000

= 96 / 72
= 4 / 3

Thus, the requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.

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Answer:

\( { \boxed{ \blue{ \tt{last \: term : l = a + (n - 1)d}}}} \\ \\ { \boxed{ \green{ \tt{sum : s = \frac{n}{2} (2a + (n - 1)d}}}} \\ or\\ { \boxed{ \tt{ \red{sum : s = \frac{n}{2} (a + l)}}}} \\ { \bf{s \: is \: sum }} \\ { \bf{ l \: is \: last \: term}} \\{ \bf{ n \: is \: number \: of \: terms}} \\{ \bf{ d \: is \: common \: difference}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}\)

Sawyer is 9 yrs old and his sister is 3 yrs old

hope it really helps...

Answer:

(a) The probability of getting someone who was not sent to prison is 0.55.

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.

Step-by-step explanation:

We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.

Let the probability that subjects studied were sent to prison = P(A) = 0.45

Let G = event that subject chose to plead guilty

So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40

and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55

(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison

      P(A') = 1 - P(A)

               = 1 - 0.45 = 0.55

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)

We will use Bayes' Theorem here to calculate the above probability;

    P(A'/G) =  \(\frac{P(A') \times P(G/A')}{P(A') \times P(G/A') +P(A) \times P(G/A)}\)      

                 =  \(\frac{0.55 \times 0.55}{0.55\times 0.55 +0.45 \times 0.40}\)

                 =  \(\frac{0.3025}{0.4825}\)

                 =  0.63

Answer:2/1

Step-by-step explanation:

===========================

Explanation:

Let's focus on adding 8/9 to -5/6

To do this, we need the denominators to be the same. The LCD is often the best choice, but you could pick any common denominator.

LCM of 9 and 6 is 18

8/9 = 16/18 after multiplying top and bottom by 2

-5/6 = -15/18 after multiplying top and bottom by 3

So,

8/9 + (-5/6) = 16/18 - 15/18 = 1/18

The two fractions up top combine to 1/18

----------------

The original expression turns into (1/18) over (1/6)

This is the same as

(1/18)*(6/1)

since we flip the second fraction and multiply. Let's simplify that

(1/18)*(6/1)

(1*6)/(18*1)

(6*1)/(6*3)

1/3

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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Answer:

100+50²=2600

Step-by-step explanation:

because 50x2=100 and 50² is 2500. Add those and you get 2600.

There were 8 slices in the whole pizza.

An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =.  Let us assume the number of slices in the whole pizza is "x".

Since Jim ate two slices which is 25% of the pizza, we will set up the equation:

2 = 0.25x

To solve for "x":

2 / 0.25 = x

x = 8.

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