Last year, the Galaxy Fair Amusement Park installed a family roller coaster they named The Twist. This coaster was designed to accommodate riders from age 4 to adult and features a tall climb hill and several banking turns. Overall, the park has been disappointed in the reception of The Twist, and very few families are riding the coaster this season. After some research, they discovered that park guests think the climb hill is too tall and fast for younger riders. Galaxy Fair Amusement Park has asked a roller coaster design firm to help them redesign The Twist during the coming off season. The quadratic function that represents the current climb hill is () = −0.102 + 3.6 − 2.4 and the quadratic function that represents the proposed redesign of the climb hill is () = −0.032 + 1.62 − 6.87. In these functions, the value of x represents the time, in seconds, since the roller coaster train cars have left the station, and the output variable is the height of the roller coaster track, in feet, above the ground. 1. Rewrite both () and () from standard form into vertex form. Explain your process. HINT: Each function has a common factor. Start by dividing it out. 2. State the vertex of each function. What does each vertex represent in context of The Twist? 3. Compare the a-value of () to the a-value of the parent quadratic function. What effect does this value have on a parabola? 4. Sketch both of the functions () and () on a single xy-plane. Describe the steps you took to create your sketch. 5. Use the vertex forms of () and () and the sketch you created in question 4 to describe the track changes that occur when the function that represents the climb hill is altered from () to (). Do you think these changes will help younger riders better enjoy The Twist? Explain.

Answer:

5 hours 20 minutes

Step-by-step explanation:

Distance traveled to be 20 miles apart

180 - 20 = 160 miles

Combined speed

14 + 16 = 30 mph

time = distance / speed

t = 160/30

t = 5 1/3 hours

t = 5 hours 20 minutes

Answer:

5 hours and 20 minutes

Step-by-step explanation:

it will take them 5 hours and 20 minutes.

Answer:

Step-by-step explanation:

2. 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3

3. 4 × 9 = 2 × 2 × 3 × 3

4. 6 × 6 = 2 × 3 × 2 × 3

please give me a brainliest answer

Step-by-step explanation:

2. 36 = 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3

3. 36 = 4 × 9 = 2 × 2 × 3 × 3

4. 36 = 6 × 6 = 2 × 3 × 2 × 3

Answer:

Have you ever wondered how a tiny little insect like a bee could ever fill a jar of honey? If it were just down to one bee it would be a mighty task but the work is shared by many thousands of bees and is a great example of what can be achieved by a co-ordinated effort. Think of it in terms of humans creating something like a pyramid.

A jar of honey weighs 454 grammes and a bee can carry about 0.04 grammes of nectar. But nectar is only about 40% sugar and honey needs to be about 80% sugar so the bee actually only carries about 0.02 grammes of honey on each trip.

Step-by-step explanation:

As I understand, we want to perform the given sum by adding the correspondent place values.

Using this method, we will see that the value of the sum is 258.

First, we define the place values as the value that each "position" has, where the reference is the decimal point.

The first place at the left of the decimal points is the units digit.

The second is the tens digit, and so on.

With this, we can rewrite te twi given numbers as:

Then the sum can be done as:

215 + 43

(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)

2*100 + (1 + 4)*10 + (5 + 3)*1

2*100 + 5*10 + 8*1 = 258

Then we have:

215 + 43 =  258

If you want to learn more, you can read:

https://brainly.com/question/1858248

Answer:

Slope = - 5

Step-by-step explanation:

Let,

x1 = 13

x2 = 14

y1 = 11

y2 = 6

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 6 - 11 ) / ( 14 - 13 )

          = - 5 / 1

Slope = - 5

Answer:

[tex]\boxed{\sf slope:-5}[/tex]

Step-by-step explanation:

Slope :

[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf ^*m=slope[/tex]

[tex]\sf (x_1, y_1): first \: coordinates[/tex]

[tex]\sf (x_2, y_2): second\: coordinates[/tex]

___________________

[tex]\sf \left(x_1,\:y_1\right):\left(13,\:11\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(14,\:6\right)[/tex]

[tex]\sf slope\:(m)=\cfrac{6-11}{14-13}[/tex]

[tex]\sf slope\:(m)=-5[/tex]

____________________

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Simplification ~

Correct choice is D

Simplify: -8(13 – 5c + 12d)

= −8 (13−5c+12d)

= (−8×13) + (−5c×−8) + (−8×12d)

= - 104 + 40c - 96d

Correct option is D

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Answer:

No, the HOA president was wrong because both murder and ice cream sales spiked during the summer months but slowly decreased during months in the spring, fall and winter times. This is an example of causation.

Step-by-step explanation:

I wouldn't put exactly that because i put that on mine but here's an idea!

Hope this helps! <3

Have a nice day/night!

Answer:

2. SSS ( Side-Side-Side)

c-9

to find the amount of parents in the room we'd have take away the amoutn if children in the room from the total amount of people

25-9

thus, your expression to represent the amount of parents would be

c-9

Hope this helped you- have a good day bro cya)

Answer:

1400 sq. ft

Step-by-step explanation:

60 min = 1 hour

280 sq. ft / 12 min = x / 60 min

x = 60 min * (280 sq. ft / 12 min)

minuets cancel out

x = 1400 sq. ft

Answer:

All i got was 3√23+4x−96

Step-by-step explanation:

Answer:

2b. R line is lower.

2c. It is lower because the y-intercept is negative.

Answer: ill take one for you john

Step-by-step explanation:

Answer:

Shape: Not sure what to put

Domain: ( -oo, oo )

Range: ( -oo, oo )

Locater point: ( 0, 0 )

Step-by-step explanation:

Shape - You have the shape on the graph

Domain and Range - Both go on forever since there is no hole/interruption

Locater Point: I would say origin because it is the closest thing to a vertex, which is an example of a locater point.

Hopefully this helps!

Brainliest please?

Step-by-step explanation:

I think it is 44.

if wrong forgive me.

hope this helps.

Answer:

44

Step-by-step explanation:

1. To round a number to the nearest 10, look at the ones-digit. If the digit is 5 or more, round up (raise the score). If the digit is 4 or less, round down (let it rest).

2. The ones-digit in 44 is 4 or less, meaning we round down. The 4 in the ones-place becomes zero, and therefore, rounds to 40.

Therefore, the answer is 44.

Answer:

320

Step-by-step explanation:

64 by 5 equals 320

Answer:

320

Step-by-step explanation:

Divide 64 by 0.2

Answer:

15:10

Step-by-step explanation:

15:10 can be reduced into 3:2 by dividing with 5

and 9:6 can be reduced to 3:2 by dividing with 3

keep smiling.

Answer:

D

Step-by-step explanation:

just got in edg 2021

Answer:

SAS

Step-by-step explanation:

Answer: I'm sorry, I dont really know but here are some notes to help you with this.

Step-by-step explanation:   https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf

Answer:

102°

Step-by-step explanation:

Angles in a straight line is added up to 180°

So,

Angle 1 + Angle 2 = 180°

Given that,

Angle 2 = 78°

We can find angle 1

Let us find,

Let the angle 1 be x

[tex]x+78=180\\x=180-78\\x=102[/tex]

As a and b lines are parallel,

Angle 1 = Angle 5 (Corresponding angles)

Also we already found the angle 1

So,

Angle 5 = 102°

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

1. 4.05 x 10^-4

2. 49,345,000

3. 2.357897 × 10^9

Answer:

its should almost be certainly be A

Step-by-step explanation:

Answer:

7/10 or 70%

Step-by-step explanation:

because 10/10 is 100%-----> so 7/10----> 70%

Answer:

96 in^2.

Step-by-step explanation:

It has 6 surfaces each of area 4*4 = 16

Answer is 6*16 = 96.

Answer:

A U B U C = {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

This is the correct form

Answer:

A={1,4,5,6,7}

B={1,2,5,8,9}

C={3,4,5}

AUBUC= all elements of A,B,C

={1,2,3,4,5,6,7,8,9}

Part A:

GIVEN:  Strawberry Juice = [tex]0.85[/tex] liters, Mango Juice = [tex]0.50[/tex] liters, Watermelon Juice = [tex]0.15[/tex] liters, Drank Juice = [tex]0.30[/tex] liters.

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· Find the expression

In this case, all of them have to be combined to find the expression

Thus,

Expressions in these queries are arithmetical statements that may be defined by the operator, and the following discussion could indeed define a minimum of 2 terms containing the numbers or the variables, or both.

strawberry juice = 0.85 liter

mango juice = 0.50 liter

watermelon juice= 0.15 liter

drank juice = 0.30 liter

solution:

0.85+0.5+0.15 = 1.5

if she drank 0.3, remove it from 1.5, then 1.3

this expression would be : (0.85+0.5+0.15) - 0.3 = 1.2

Answer: This can be written as x + (x-9) + 3(x-9) = 99

5x - 36 = 99

5x = 135

x = 135/5 = 27

You can now just plug in the value of x for each of the initial terms to get:

n1 = 27

n2 = 18

n3 = 54

Step-by-step explanation: