Suppose that the height H of a Ferris wheel can be modeled by the function n H(t)= -16cos(t/45)+24, where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for π

Answers

Answer 1

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.


Related Questions

A helicopter hovers 1500 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 32 degress. How far off the​ coast, to the nearest​ foot, is the​ island?

Answers

Answer:

937 feet

Step-by-step explanation:

tan32 = x/1500

0.625 = x/1500

0.625*1500 = 937.304

All of these statements are true EXCEPT which one?

Answers

Answer:

i think its B

Step-by-step explanation:

If a right circular cone has a volume of 15 cubic feet and a radius of 3 feet, what is the height of the cone?

A. 3 ft.
B. 5 ft.
C. 8 ft.
D. 2 ft.

Answers

Answer:

B, 5

Step-by-step explanation:

divide 3 by 15

15 divided by 3 = 5

h = height

5h

5 = height

your answer would be 5

The height of the cone is 1.6 ft.

What is cone?

A right circular cone is one whose axis is perpendicular to the plane of the base. We can generate a right cone by revolving a right triangle about one of its legs.

Given that, a right circular cone has a volume of 15 cubic feet and a radius of 3 feet, we need to find the height of the cone,

Volume of the cone = π × radius² × height / 3

15 × 3 = 3.14 × 3² × height

Height = 45 / 3.14 × 9

Height = 1.60

Hence, the height of the cone is 1.6 ft.

Learn more about cones, click;

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A bag contains blue,green,yellow,and red marbles. The probability of drawing a yellow marble is 3/10. What is the probability of NOT drawing a yellow marble?

Answers

The probability of NOT drawing a yellow marble would be 7/10

Answer:

Step-by-step explanation:

what's the answer to n+4.5-0.3n-3

Answers

1. Collect like terms

(n - 0.3n) + (4.5 - 3)

2. Simplify

0.7n + 1.5

Final Answer:

0.7n + 1.5

solve 7 + x ÷ 3 = 2x - 5
Please help me I'm not good with these. :) ​

Answers

Answer:

12637489494949437727+2+37+3+382883646384949494949944994

Answer:

number 10 and 2.333333333 or you can just make it short 2.33

You are trying to increase your monthly savings to buy a used car. Your boss allows you to work one hour of overtime at time-and-half 5 days per week. Your regular wage is $12.00 per hour. You want to save $3,000 for your car. Approximately how many weeks must you work with the extra hour per day to reach your goal?

Answers

Answer:

34 weeks

Step-by-step explanation:

As given,

Wage of 1 hour = $12

⇒1$ = [tex]\frac{1}{12}[/tex] hour

⇒$3000 = [tex]\frac{3000}{12}[/tex] = 250 hour

As given,

1 week = 5 days

And he works

[tex]1\frac{1}{2} = \frac{3}{2}[/tex] hour in 1 day

⇒5 days = 5×[tex]\frac{3}{2}[/tex] = [tex]\frac{15}{2}[/tex] hours

⇒1 week = [tex]\frac{15}{2}[/tex] hours

⇒1 hour = [tex]\frac{2}{15}[/tex] week

⇒250 hour = [tex]\frac{250 . 2}{15}[/tex] = 33.34 weeks ≈ 34 weeks

∴ we get

He has to Approximately work for 34 weeks with the extra hour per day to reach your goal.

Solve: 3a - 2.4 = 5.1 a = _____

Answers

Answer:

a=2.5

Step-by-step explanation:

3a-2.4=5.1   Add the like terms ( plus 2.4 cancels out -2.4)

   +2.4  +2.4

3a=7.5  Now divide by 3

/3     /3

a=2.5

3. Select all the situations that can be represented by an exponential function.

1. Jim deposits $1,000 in an account that doubles in value every 7 years.
2. Brian deposits $30 in a savings account. Then he deposits $2 each month for the next 9 months.
3. Leon runs a mile in 8 minutes. Then he runs a mile each day for the next 4 days, reducing his time by 1.5% each day.
3.Cynthia runs a mile in 9 minutes. Then she runs a mile each day for the next 4 days, reducing her time by 6 seconds each
5.Marie deposits $30 in a savings account. Then she makes a deposit each month for the next 9 months, putting in $2 more
deposit

Answers

I think the answer is A, B, and E. I'm not sure if it is 100% correct.

7a + 4- 2a = 7a +- 2a + 4=
. 5a
. 0
. -5
. 5a+4

Answers

Step-by-step explanation:

0 would be your answer

first you combine like terms and get 5a+4 on each side then you have to solve the equation.

The scale of the room design shows that 1" = 3 feet. How big is the actual room if the design shows a square that is 6 inches wide?

Answers

Answer:

arah is at a miniature exhibit. There is a model of a skyscraper. Underneath the model was a ratio. It said:

1 inch=30 feet.

If the model is 38 inches tall, how Sarah use this information to find the actual height of the skyscraper?

In this concept, you will learn how proportions are used to find actual and scale dimensions using a scale ratio.

Using Proportions to Find Dimensions

A scale is a ratio that shows the relationship between the representation of an object and the real measurement of an object. Toy makers use scale ratios to make models of cars and airplanes that are proportional to the real thing. Architects use scale drawings to plan the design of buildings.

A scale drawing is a drawing that is used to represent and object that is too large to be drawn in its actual dimensions. If a drawing is to scale, you can use proportions to determine the actual dimensions of the scale drawing.

Let’s look at a scale drawing of a sculpture. In the drawing, the sculpture is 4 inches tall. The scale is 1 inch : 4 feet. It scale can be written as

1 in4 ft

(Note: Inch is abbreviated “in.” or with the double prime mark, ″. Foot/feet is abbreviated “ft” or with the single prime mark, ′.)

A drawing with this scale tells you that 1 inch on paper is equal to 4 feet in real life. If the drawing is 4 inches tall, use the scale to find the actual height of the sculpture.

First, create a proportion using equivalent ratios. Remember to write the corresponding units in the numerator and in the denominator. The actual height of the sculpture is represented by the variable x.

1 in.4 ft.=4 in.x ft.

Then, cross multiply and simplify the equation to find the value of x.

xx==4(4)16

The sculpture will be 16 feet tall.

Let’s make a scale drawing. Use the scale 1′′=2′. Draw a room that is 8′×12′.

First, write a proportion to find the measurement of the width.

1′′2′=x′′8′

Next, cross multiply and simplify the equation to find the value of x.

2x2xx===1(8)84

The drawing will be 4

The graph of y = f(x) is shown below. Find all values of x where f(x) = 0

Answers

the graph crosses the x-axis at 2 and 8.
f(2) = 0
f(8) = 0

Graphs are used to show the relationship between two variables (usually x and y). The values of x when [tex]f(x) = 0[/tex] are 2 and 8

The graph of y = f(x) is given

To get the values of x when [tex]f(x) = 0[/tex], we simply consider where the line of the graph crosses the x-axis.

The graph crosses the x-axis at:

[tex]x = 2[/tex]

[tex]x = 8[/tex]

This means that the values of x when [tex]f(x) = 0[/tex] are 2 and 8

Read more about graphs at:

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PLZ HELP ILL GIVE BRAINLIEST

Answers

The all have same denominator
You can subtract them regularly
2 1/5
The answer is 2 1/5

Answer:

11/5

Step-by-step explanation:

Maria bought G gallons of gasoline for $2.75 per gallon and see cans of oil for $3.15 per can a what expression can be used to determine the total amount Maria spent on gasoline be if she bought 7.4 gallons of gasoline and eight cans of oil how much do you spend in all

Answers

Answer: $20.35 on gallons of gas and $25.2 on cans of oil

A bit confused on what to do. Can someone help?

Answers

Answer: the answer is on a calculator

Step-by-step explanation:

If your aboe to do that you can so anything

Helppppppppppppppppppp I’ll mark you brainlist

Answers

Answer:

1

Step-by-step explanation:

you add +6 everytime you up the number :))

Answer:

The missing value of x in this arithmetic sequence is "1"

Step-by-step explanation:

Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.

In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.  

From this we know in order to get from x to 7 we added 6, now know this we can make an equation...

x + 6 = 7

And now we just solve it...

x + 6 = 7

x = 7 - 6

x = 1

4x^2 − 8xy − 140y^2. Reduce to lowest term

Answers

Answer:

4⋅(x+5y)⋅(x−7y)

Step-by-step explanation:

dggfhjgjjghhghhjj

4 (x² - 2xy - 35y²) ------> 4 (x-7y)(x+5y)

what is x
5 (x-2)= 45

Answers

Answer:

11

Step-by-step explanation:

5(x-2)=45

x-2=45/5

x-2=9

x=9+2

x=11

Inigo is a part-time college student who lives at home. His monthly net income is $600. He developed a budget to help him manage his income and expenses. Which action will best help Inigo balance his budget?

Answers

I need more info to answer your question. Can please tell me the answer choices?

Answer:

No action is needed because Inigo has a balanced budget.

Step-by-step explanation:

HELP OML I JUS WANT ANSNWER

Answers

Answer:

c....

i think

Step-by-step explanation:

Work out angle x 55°

Answers

Answer:

70°

Step-by-step explanation:

We know that the triangle is an iscoceles based on the 2 small lines drawn horizontally on 2 sides of the triangle.

We know that the base angles in an iscoceles triangle are the same, so the angle that has not been drawn is 55°.

55° + 55° = 110°

180° - 110° = 70° (180 comes from the entire triangle adding up to 180°)

2. What does percent mean?

A.Part of 100.

B.The average cost.

C. Part of 10.

D. Per piece
I’ll give brainiest

Answers

Answer:

option A is correct answer of this question

Answer:

A. Part of 100. Hope this helps.

Solve the following simulataneous equations using an algebraic method (not graphical).
2x + 5y = 0
3x-4y = 23

Answers

Given:

The equations are

[tex]2x+5y=0[/tex]

[tex]3x-4y=23[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]2x+5y=0[/tex]        ...(i)

[tex]3x-4y=23[/tex]       ...(ii)

From (i), we get

[tex]2x=-5y[/tex]

[tex]x=-\dfrac{5y}{2}[/tex]        ...(iii)

Putting this value in (ii), we get

[tex]3(-\dfrac{5y}{2})-4y=23[/tex]

[tex]-\dfrac{15y}{2}-4y=23[/tex]

[tex]\dfrac{-15y-8y}{2}=23[/tex]

[tex]-23y=2\times 23[/tex]

[tex]y=\dfrac{46}{-23}[/tex]

[tex]y=-2[/tex]

Putting y=-2 in (iii), we get

[tex]x=-\dfrac{5(-2)}{2}[/tex]

[tex]x=-\dfrac{-10}{2}[/tex]

[tex]x=\dfrac{10}{2}[/tex]

[tex]x=5[/tex]

Therefore, the solution of given system of equation is (5,-2).

Please help solve the problem below.

Answers

Answer:

1. x = 2

2. x = 5

3. x = 8

4. x = 28

5. x = 13

6. x = 11

7. x = 0

8. x = 72

9. x = 6

10. x = 38

Step-by-step explanation:

hope that helps!

1. subtract 6 on both sides

2. add 3 on both sides

3. divide both sides by 2

4. multiply both sides by 2

5. add 8 on both sides

6. subtract 9 on both sides

7. add 5 on both sides

8. multiply both sides by 6

9. divide both sides by 4

10. add 18 on both sides

Will took two tests and made an 83% and a 93%. What will he need to make on the next test to have a mean score of 90%

Answers

Step-by-step explanation:

freeee poiintssssssss

people are so rude and just do it for points i swear He will try and memorize what he did in those tests and be confident for the next one:)!

please help!!!!!!!!!

Answers

Answer: $432

Step-by-step explanation: If he marks up the price by 80% then you multiply the price (240) times 0.8, which is 192. That is how much he marks it up -- $192. SO then you add how much he marks it up to the original price of $242 which is $432.

which one has a larger volume???​

Answers

Answer:

The left one does.

Step-by-step explanation:

While it has the same height as the other one, it is wider, so therefore it has more volume.

I hope this helps!

Name the ordered pair for Q

Answers

0,8 because you have to do x,y and x=0 and y=8
C. (0, 8). Next time just know that the first number in a ordered pair is on the X-axis and the second number is the Y-axis

Maia's garden is made of rectangular regions, as shown below. She wants to cover her garden with plastic muluch to warm the soil. What is the area of the garden?

Answers

*check figure 1 for the diagram of the garden

Answer:

2,400 cm²

Step-by-step explanation:

The area of the garden has been decomposed into 3 rectangles, rectangles 1, 2, and 3 (see figure 2 in the attachment below).

To find the area of the garden, calculate the area of each of the 3 rectangles and sum them together.

Thus:

Rectangle 1:

Area = length × width = 20 × 20 = 400 cm²

Rectangle 2:

Area = length × width = 60 × 10 = 600 cm²

Rectangle 3:

Area = length × width = 70 × 20 = 1,400 cm²

✔️Area of the garden = 400 + 600 + 1,400 = 2,400 cm²

What is an equation of the line that passes through the point (7,6) and (-2,-3)

Answers

Answer:

y=x-1

Step-by-step explanation:

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

m=(-3-6)/(-2-7)

m=-9/-9

m=1

y-y1=m(x-x1)

y-6=1(x-7)

y-6=x-7

y=x-7+6

y=x-1

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