what key feature(s) can be easily identified from factored form? explain how each key feature is related to the roller coaster. use specific values in your explanation.​

IT HAS TO BE X=0 BECAUSE YOU ADD 8 TO X-8 THAT REMOVES THAT 8 THEN THE ADD 8 TO THE OTHERSIDE OF THE EQUAL SIGN

The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.

Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.

A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.

According to the given information:

The Capital Asset Pricing Model (CAPM) is expressed as:

R = Rf + beta*(Rm - Rf)

Where:

R = Required rate of return

Rf = Risk-free rate of return

beta = Beta coefficient (systematic risk)

Rm = Expected market return

Using the given values, we can compute the required rate of return for each stock:

Stock with beta of 0.5:

R = 5% + 0.5*(10% - 5%)

R = 7.5%

Stock with beta of 2:

R = 5% + 2*(10% - 5%)

R = 15%

Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.

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The answer is 6

If you divide 18 by 3 it's 6

The number of months to reach 51 can be illustrated as 3060 - 100x = 51.

The expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both.

The farmer planted 3,060 tomato plants in his garden.

Let's assume there's a decrease of 100 monthly.

The number of months, x, it will take for the number of tomato plants in his crop to reach 51 = c

This will be:

3060 - 100x = 51.

This illustrates the equation for the number of months.

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Answer:

A) 2. Seconds

4. Minutes

B) 2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

Step-by-step explanation:

A. The unit(s) that could be used for the unit of measurement are the units used to measure time and the correct answer according to the options given above is seconds and minutes.

B. Which of the procedures below would be the best way to find the average time?

2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

Answer:

ion know bro

Step-by-step explanation:

must suck

.......

The amount of flour that is needed if the recipe is tripled is 11 ¹ / ₄ cups of flour

To find the flour needed for the recipe, first convert the mixed  fraction to an improper fraction for easier calculation.

= 3 ³ / ₄

= (4 x 3 + 3) / 4

= 15 / 4 cups of flour

If the recipe was tripled, then the number of cups of flour would also need to be tripled.

The amount of flour needed becomes:
= 15 / 4 x 3

= 45 / 4

= 11 .25

= 11 ²⁵ / ₁₀₀

= 11 ¹ / ₄ cups of flour

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Answer:

$23.31

Step-by-step explanation:

$12.95/5

=$2.59/per bag

$2.59*9

=$23.31

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

Answer:

Solution:

Here,

\(\begin{array}{ | c| c c | } \hline\ \ \text{length \: of \: iron \: rod}& \text{weight} \\ \hline 13 \rm{m}& \rm{23.4kg} \\ \hline \rm{6m}&?\\ \hline\end{array}\)

Weight of 13 m of rod=23.4 kg

Weight of 1 m of rod=23.4/13 kg

[less length,less weight]

Weight of 6 m of rod=23.4/13 ×6 kg=10.8 kg

[more length,more weight]

Thus,the weight of 6 m of rod is 10.8 kg.

Alternative method:

Let,the required weight be x kg.

Then,

\(\begin{array}{ | c| c c | } \hline\ \ \text{length \: of \: iron \: rod}& \text{weight} \\ \hline \rm{13m}& \rm{23.4 \: kg }\\ \hline \rm{6m}& \rm{x =? } \\ \hline\end{array}\)

We know that,

More length of iron rod(\(\red{\uparrow}\)) will have the more weight(\(\red{\uparrow}\)).

So,using the rule of direct proportion;

i.e. Ratio of length=Ratio of weight

\( \displaystyle{ \frac{13}{6} = \rm\frac{23.4}{x} }\)

\( \rm{13x = 6 \times 23.4}\)

\( \rm{x = \displaystyle{ \frac{6 \times 23.4}{13} }}\)

\( \therefore{x = 10.8}\)

Thus,the weight of 6 m long iron rod is 10.8 kg.

1) Let's graph that

That equation is a vertical line on the x- axis.

5x =20

x =4

5x =20 is the same as x=4

2) As we can see below:

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Answer:

2 to 5 or 2:5

Step-by-step explanation:

Answer:

3log(z)/2−2log(x)−5log(y)

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments

From the question, we have the following parameters that can be used in our computation:

The table of values

For the membership application, we have the following features

So, the function is

f(x) = 600 - 10x

For the membership available, we have the following features

So, the function is

g(x) = 20/3x

So, the functions are f(x) = 600 - 10x & g(x) = 20/3x

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Answer:

x = 4

Step-by-step explanation:

-6x + 4 = -20, Subtract 4 on both sides

-6x = -24, Divide -6 on both sides

x = 4

Answer:

56,149 would be left over

Step-by-step explanation:

56,941-792=56,149

Answer:

Point A is at (0, –4).

Point B is at (–8, –7).

Step-by-step explanation:

point A is 4 units down : y = –4

Point B is 8 units to the left : x = –8

and 7 units down: y = –7

A : (0, –4)

B : ( –8, –7)

Answer: y = (1/2)*sin(x*pi/30) + 3/2

Step-by-step explanation:

We have the equation:

y = p*sin(q*x) + r.

in this case, p is the amplitude, which is calculated as half of the difference between the value at the peak (the maximum) and the value at the troughs (the minimums).

q is related to the period

r is the mid value of the function, will be equal to the minimum plus the amplitude (or the maximum minus the amplitude).

We know that the maximum is (15, 2) (x = 15, y = 2)

We know that the minimum is (45, 1) (x = 45, y = 1)

Then the value of y at the peak is 2, and the value of y at the trough is 1.

This means that the amplitude is:

p = (2 - 1)/2 = (1/2)

And we know that r is equal to the minimum plus one time the amplitude, then:

r = 1 + 1/2 = 3/2.

Then, for now, our equation is:

y = (1/2)*sin(q*x) + 3/2.

Now we can use the information that  (15, 2) is a maximum.

We know that the maximum value of the function sin(x) is 1.

and it is when:

x = (pi/2) + n*2*pi   (where n is a whole number)

Then we must have that:

15*q = (pi/2) + n*2*pi

as this is periodic, we can define n = 0 and it will be the same.

15*q = pi/2

q = (pi/2)/15 = pi/30.

Now, let's test this with the minimum.

The minimum of the sin(x) function is when:

x = (3/2)*pi + k*2*pi (where k can be any whole number)

and we have a minimum at x = 45, then:

q*45 = (3/2)*pi + k*2*pi

(pi/30)*45 = (3/2)*pi + k*2*pi

(45/30) = (3/2) + k*2

3/2 = 3/2 + k*2

If we take k = 0, then the equality is true

Then q  = pi/30 is consistent.

So we can conclude that the equation is:

y = (1/2)*sin(x*pi/30) + 3/2

Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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Answer:

are u sure they are the right options

Step-by-step explanation:

The mean value theorem is used to link the average rate of change and the derivative of a function.

The value of V is 8.

The givenparameters are:

Mean value theorem states that:

If  [a,b] and

(a,b),

Then there is a point c in (a,b), such that:  

From the question, we understand that: f is differentiable

This means that:

avethat:

The equation becomes

Cross mltiply

o both side

From the question, we have:

By comparisons;

Hence, the value of V is 8.

Sol-1

\(\\ \sf\longmapsto |y-12|=21\)

\(\\ \sf\longmapsto y+12=21\)

\(\\ \sf\longmapsto y=21-12\)

\(\\ \sf\longmapsto y=9\)

Sol:-2

\(\\ \sf\longmapsto y-12=21\)

\(\\ \sf\longmapsto y=21+12\)

\(\\ \sf\longmapsto y=33\)

Answer:

64 hours

Step-by-step explanation:

(3\8) times 64 (hours) equals 24 (tons of dirt)

Answer: UW= 9√3

Step-by-step explanation:

This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.

The hypotenuse is 18. We can figure out the length of x.

2x=18

x=9

Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.

9√3

We can check our answer by using Pythagorean Theorem.

9²+(9√3)²=18²

81+243=18²

324=324

Since they are equal, we know we have the right answer.

thanks man I leik points

Answer:

  y -4 = 3(x +1)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m passing through point (h, k) is ...

  y -k = m(x -h)

Your values for these parameters are ...

  m = 3

  (h, k) = (-1, 4)

Filling these into the form gives the equation you're looking for:

  y -4 = 3(x +1)