Part II: Analysis
5) How many seconds does the roller coaster last?
6) What is the roller coaster's starting height? How many seconds does it take the
roller coaster to reach maximum height?
7) Describe what the roller coaster is doing in the interval 7 8) Use your knowledge of function notation and piecewise functions to determine the
following:
a. f(10) =
i. Explain what this value means in real world context.
b. f(20) =
1. Explain what this value means in real world context.
c. If 16 seconds have passed since the roller coaster started, what is the height
of the roller coaster?
Bonus: When does the roller coaster reach 100 feet above the ground?

Answer:

5/72

Step-by-step explanation:

I am pretty sure its right

Answer:

a,c,e.

Step-by-step explanation:

2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8

Answer:

137 m²

Formula's:

Explanation:

⇒ area of rec + area of rec + area of rec + area of triangle

⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5

⇒ 8 + 42 + 72  + 15

⇒ 137 m²

Answer:

137 m²

Step-by-step explanation:

Divide the figure into a triangle and 3 rectangles (see attached diagram)

Formulae

Triangle 1

⇒ area = 1/2 x (8 + 7 + 2 - 4 - 7) x 5

            = 1/2 x 6 x 5

            = 15 m²

Rectangle 2

⇒ area = 4 x (2 + 7 + 8)

            = 4 x 17

            = 68 m²

Rectangle 3

⇒ area = 2 x (7 + 8)

            = 2 x 15

            = 30 m²

Rectangle 4

⇒ area = 3 x 8

            = 24 m²

Total area

⇒ Total area = triangle 1 + rectangle 2 + rectangle 3 + rectangle 4

                      = 15 + 68 + 30 + 24

                      = 137 m²

Answer:

3(x + 8) = 6

Step-by-step explanation:

let the number be x then the sum of x and 8 is x + 8 and multiplied by 3 is

3(x + 8) = 6 ( divide both sides by 3 )

x + 8 = 2 ( subtract 8 from both sides )

x = - 6

the number x is - 6

(.25x)+5 ≤10 or .25x ≤5 i believe both should work.

20 is how many toppings....

you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4

sorry for missing the inequality part at first.........

Answer:

2,3,4,5

Step-by-step explanation:

The ones you selected are all correct.

Hope this helps.

Parallel lines were coplanar endless straight lines in geometry that never intersect. Therefore, all the options are correct.

Parallel lines were coplanar endless straight lines in geometry that never intersect. Within a single three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Euclid's parallel postulate deals with parallel lines. Euclidean geometry is just a particular example of this sort of geometry, and parallelism is essentially a feature of affine geometries. Lines can have similar characteristics known as parallelism in various other geometries, including such hyperbolic geometry.

∠2≅∠8 ( alternate interior angle)

∠1≅∠8 (vertical angle)

∠1≅∠5 (corresponding angle)

∠2≅∠5 (consecutive interior angle)

∠4≅∠6 (exterior angle)

Therefore, all the options are correct.

To know more about parallel lines, here:

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Answer:

∠ BCD = 44°

Step-by-step explanation:

the secant- tangent angle BCD is half the difference of the intercepted arcs, so

∠ BCD = [tex]\frac{1}{2}[/tex] (EB - BD) = [tex]\frac{1}{2}[/tex] (171 - 83)° = [tex]\frac{1}{2}[/tex] × 88° = 44°

Answer:

a=tir

a=7×3.14

a=21.98

area=21.98 square feet

Answer:

$48.

Step-by-step explanation:

$480-$48

=$432

after the discount

Answer:

Yes

Step-by-step explanation:

The only relevant information is each side of the pentagonal pyramid is 9 years and so the perimeter of the base is 45 since 9 x 5 = 45 yards.

Answer:

7.235 cm

Step-by-step explanation:

Pythagorean theory

A^2 + B^2 = C^2

A = 4.7

B = 5.5

4.7^2 + 5.5^2 = C^2

22.09 + 30.25 = C^2

√52.34 = √C^2

7.235 cm ≈ C

Answer:

6. $62.74 7.$331

Step-by-step explanation:

6. The original cost= $119.5

After 30% of discount = (70/100)× 119.5

= $83.65

After 25% discount = (75/100)× 83.65

= $62.74

7. Original cost= 679

Price after 35% discount = (65/100)×679=$441.35

Price after 25% discount = (75/100)× 441.35

=$331

So the final price will be = $331

The function P(x) = -65(x - 4)² + 1000 of Dairy queen is an illustration of quadratic functions

Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

The function is given as:

P(x) = -65(x - 4)² + 1000

At zero profit, P(x) = 0

So, we have:

-65(x - 4)² + 1000 = 0

From the graph of the function (see attachment), we have:

x = 0.078 and x = 7.922

Hence, the prices that give zero profit are 0.078 and 7.922

To maximize profit, Dairy Queen should their blizzards at a price that yields maximum profit

We have:

P(x) = -65(x - 4)² + 1000

A quadratic function is represented as:

P(x) = a(x - h)² + k

Where:

Vertex = (h,k)

So, we have:

h = 4 and k = 1000

Hence, Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

Read more about quadratic functions at:

https://brainly.com/question/4820005

Answer:

Step-by-step explanation:

The required area is between 9+3 = 12 feet and 9 feet radius circles.

Find the area:

Answer:

The correct polynomial is F. Calculation errors combining h terms and distributing -1.

Step-by-step explanation:

[tex]( - 4h + 3)( {h}^{2} + 9h - 1)[/tex]

[tex] - 4 {h}^{3} - 36 {h}^{2} + 4h + 3 {h}^{2} + 27h - 3[/tex]

[tex] - 4 {h}^{3} - 33 {h}^{2} + 31h - 3[/tex]

Answer:

7-720= -714

Step-by-step explanation:6x2=12 60x12=720 so thats the brackets then substract from seven to get the answer -714

Answer:

a) organized-

3,4,5,6,6,7,9,28

median is 6

68/8=8.5

the mean is 8.5

b) the median, because there is an outlier

Answer:

1/18

Step-by-step explanation:

Use the counting principle to find the total number of different sandwiches you can make.

2 breads

3 meats

3 condiments

Total number of different sandwiches = 2 × 3 × 3 = 18

There are 18 possible sandwiches.

You are intereseted in 1 specific sandwich out of the 18.

p(wheat bread, ham, mustard) = 1/18

1/18 is the probability that you will make a sandwich with wheat bread, ham, and mustard.

A number is an arithmetic value used to represent quantity.

We can use the counting principle to find the total number of ways to make different sandwiches.

2 breads, 3 meats, and 3 condiments.

Total number of sandwich varieties = 2* 3* 3 = 18

There are 18 possible sandwiches.

You're only interested in one of the 18 sandwich varieties.

i.e.   p(wheat bread, ham, mustard) = 1/18

Hence, the probability that you will make a sandwich with wheat bread, ham, and mustard is 1/18.

To learn more about number, use the link given below:

https://brainly.com/question/17429689

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Answer:

13,62$

Step-by-step explanation:

The total hours Riley worked last week: 7.5*3= 22.5 (hours)

Riley's hourly rate of pay: 306.45/ 22.5= 13.62$

Answer:

10⁵ / 10³ = 10^(5-3)= 10²

while diving the power gets subtracted if they have same base

Answer:

I think the answer is 792

Answer:

SA = 696cm^2

Step-by-step explanation:

First we need to identify the shapes

There are 3 rectangles and 2 triangles

Now the individual surface area for each shape

20 x 10 = 200 (1 rectangle)

1/2(12 x 8) = 48 (1 triangle)

Now we add them together

(200 x 3) + (48 x 2) = 696

Answer:

A. <

B. =

C. >

D. <

Step-by-step explanation:

Answer:

a. 3.07 < 3.7

b. 12.3 = 12.30

c.0.7 > 0.65

d. 1.82 < 1.89

Step-by-step explanation:

a. By looking at the tenths place, you can see that 3.07 is less than 3.7.

b. By looking at the hundredths place, you can see that 12.3 is equal to 12.30.

c. By looking at the tenths place, you can see that 0.7 is greater than 0.65.

d. By looking at the hundredths place, you can see that 1.82 is less than 1.89.

Answer:

It's 4

Step-by-step explanation:

2 2/5 - 12/5 (Simplify)

2 2/5 - 2 2/5

0 (Subtract)

(1x0) + 4 (Finish Equation)

0 + 4 (Add)

4 (Done)

Answer:

3) $12.50

Step-by-step explanation:

12.50(1) = 12.50
Hope this helps :)

Considering the recursive rule, the explicit rule for the arithmetic sequence is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

From the recursive sequence, we have that the first term is [tex]a_1 = 14[/tex], while each term is the previous added to four, hence the common difference is d = 4. Thus, the explicit formula is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Answer:

A) 4mn

Step-by-step explanation:

2m × 2n = 4mn

I hope this helps!

Answer:

the fourth graph, bottom left, is the correct one

Step-by-step explanation:

the line, also known as a line of best fit is best graphed to make sure that it covers all of the points, not including outliers. You want to make sure that the line of best fit has an fairly similar amount of points on either side, but there may be one or two outliers that are way far apart; you shouldn't need to worry about them.

Answer:

a

when you round the number up it becomes 300,000.00

Answer:

y=51, z and x= 129

Step-by-step explanation:

its complicated, but try to think of it as 51 and x/z are complementary angles, meaining they are on the same line, which means they equal 180, which makes this easier to solve meaning all you have to do is subtract 180-51=129.