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

The perimeter of a rectangular playground is 86 feet, the width of the playground is 15 feet, what is the length

Answers

The length is 28ft. W=15 so you’d subtract 30 from 86 and get 56. Then divide 56 by 2 and get 28 which is the length. You can check this by adding 15+15+28+27 together and see if it equals 86 which it does.

2, 5, 25/2...
Find the 10th term.

Answers

Answer:

7629.39453125

Step-by-step explanation:

The formula for the n-th term is:

[tex]k_n = \frac{5^{n-1}}{2^{n-2}}[/tex]

So:

[tex]k_{10} = \frac{5^9}{2^8}[/tex] = 1953125 / 256 = 7629.39453125

Answer:

7629.395 correct answer

This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic feet?
O 270 ft
0 450 ft
O 2025 ft3
O 4050 ft
PLEASEE HELP ILL GIVE BRAINLIEST

Answers

Answer: 2025

Step-by-step explanation: first you multiply 30x15x9= 4050 but you keep going and then divide 4050/2= 2025 and that would be your answer

                                           

                                                      A=2025

The volume of the right triangular prism in cubic fee should be considered as the 2025.

Calculation of the volume of the right triangular prism:

here first we have to multiply the 30, 15 and 9 with each other so it comes 4050

Now we have to half the 4050 so it comes 2025

hence, The volume of the right triangular prism in cubic fee should be considered as the 2025.

Learn more about volume here: https://brainly.com/question/24422556

Equivalent factored form for 10x^2+15x-9=2x^2+x-14

Answers

Factored form - x= -1/2, -5/4

at the party Adrian will serve each guest 1/8 of a cake he has 3 cake what is the greatest number of guests can Adrian serve ​

Answers

the greatest amount of guest adrian can serve is 24

Which equation yields the solutions x=−2 and x=−10?

Answers

What are the options ..

Options:

A. −x2−2x+35=0

B. 5x2+40x+60=0

C. −4x2+24x−20=0

D. x2+12x+20=0

Answer: its not B

sorry it only let me choose once ttm2021

witch is longer distsance 20% of 320 miles of 1/2of 130 you must show your working out

Answers

Answer: [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]

Step-by-step explanation:

[tex]20\%\ \text{of}\ 320\ \text{is}\\\Rightarrow \frac{20}{100}\times 320=64\ \text{miles}[/tex]

[tex]\frac{1}{2}\ \text{of}\ 130\ \text{is} \\\Rightarrow \dfrac{130}{2}=65\ \text{miles}[/tex]

clearly,  [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]

Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 5

Answers

it’s 100 degrees since it’s parallel to line n

Answer:

Angle 8 is 100 degrees.

Step-by-step explanation:

Corresponding angles (angles on the same spot in the transversal) are equal to each other. For example angle 2 will be equal to angle 6.

n
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
O y=-x+9
y=-*x+5
y=-3x - 11y
y=-3x + 25

Answers

Answer:

Y=-3x-11y

Step-by-step explanation:

Not sure but I am pretty sure it is this

Round to the nearest thousand. 6,159​

Answers

Answer:

6,000

Step-by-step explanation:

To round to the nearest thousand, you keep the digit in the thousands and round up or down, clearing all other smaller units.  You round up when the next largest digit, in this case, the hundreds, is 5 or larger.  Meanwhile, you round down when it is 4 or smaller.  Here it is 1, so you round down to 6,000.  If it was 5 or larger, you would round up to 7,000.

6,000

To round a number we look at the number that is right of the one we are rounding. If the number to the left is 4 or under, you round down. If it's 5 or above, you round up.

Hope it helps! Good luck!! :D

What is the equation of the line graphed below ?

Answers

The answer is A. y = -2/5

The formula to convert Celsius to Fahrenheit is FC +32. Convert 87°F to
Celsius. Round to the nearest degree.

Answers

Answer:

31°

Step-by-step explanation:

To convert Fahrenheit to Celsius is C= (F-32) * 5/9

So first do parenthesis 87-32= 55

Next multiply that number by 5/9 which is 30.55555555

Then round your answer = 31°

The chess clubcab have at most 36 members. The are 3 times as many boys as girls in the chess club. Which inequality could be used to determine the possible number of girls, x, in the chess club?

Answers

Answer:

The number of girls is at most 9 girls

y ≤ 9

Step-by-step explanation:

The chess clubcab have at most 36 members.

At most means : Less than or equal to 36 members and it is represented by the inequality = ≤

The are 3 times as many boys as girls in the chess club.

Boys = x

Girls = y

Hence,

x = 3y

Which inequality could be used to determine the possible number of girls, x, in the chess club?

Therefore,

x + y≤ 36

3y + y ≤ 36

4y ≤ 36

y ≤ 36/4

y ≤ 9

Girls = y

The number of girls is at most 9 girls

y+2 y+2 y+2 y+2 y+2
^
30

Answers

Answer:

45

Step-by-step explanation:

9y+1073741824

....…....…....…....…....…....…....…...

....…....…....…

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.

please help!!!!!! emergency

Answers

Please post the full question
I can only see half of the question

solve the equation P=b+c+a solve for b

Answers

Answer:

b = P - c - a

Step-by-step explanation:

Mel uses one fourth of a yard of ribbon to make a hair bow how many hair bows can mel make with 1 yard of ribbon​

Answers

Answer:

4

Step-by-step explanation:

If its 1/4 then you can use it 4 times to equal a whole yard

Evaluate the expression (13 - 2) ^ 2 ÷ 11
What is the value expression?

Answers

Answer:

11

Step-by-step explanation:

(13-2)^2/11

11^2=121

121/11=11

The answer is to this expression is 11

For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object has a volume of 20 cubic inches and weighs 28 ounces, what is the constant of variation?

Answers

Answer: 7/5

Step-by-step explanation:

Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.
Giving brainlist please help!


9 - m

9 – m = 42

m - 9

m – 9 = 42

Answers

m - 9 = 42

42 is our final answer so that should be by itself.

If something is being decreased by 9, that means that we are taking away 9 from something so it should be m - 9.

Answer:

m-9=42

Step-by-step explanation:

I'm pretty sure that m-9=42 is the correct answer because m or the amount is being decreased by 9 as 9 is being subtracted from it.

HELP A KID IN NEED
IM JUST A CHILD TRYING NOT TO FAIL MATH

Simplify the expression. 3z+14+5z-9

IM GIVING ALOT OF POINTS PLEASE HELP ME

please


lol sorry I'm kind of desperate

HELPPPP

Answers

Answer:

8z+5

Step-by-step explanation:

Let's split the expression into two terms- z and... not z :)

3z+5z=8z

Why? it's just 3+5 with z tacked on the end

14-9=5

simple math :)

put it together to get

8z+5

all done!

lmk if you have any more questions

A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.

Answers

1,424 in eachh boxx

Answer:

Each box contains 1424 pencils;

There would be 2848 total pencils in two boxes.

Step-by-step explanation:

1424 x 2 = 2848 pencils

A recipe calls for 12 lb of flour for 1 batch.

Answer each question below and type the answers in the boxes.

1. How many batches can be made with 1 lb of flour?

2. How many batches can be made with 34 lb of flour?

3. How many batches can be made with 14 lb of flour?

Answers

1. 1/12 batches (0.0833333)

2. 2.83333 batches

3. 1.1667 batches

Explanation

1. 1 ÷ 12 = 1/12

2. 34 ÷ 12 = 2.83333

3. 14 ÷ 12 = 1.1667

Norma and Albert both clean pools. Each charges a flat fee to clean a pool. Norma cleans 12 pools in 8 hours and earns $270. Albert cleans 9 pools in 7.5 hours and earns $195.75.

Answers

Answer:

Step-by-step explanation:

Noma cleans   12 pools in 8 hours

How many pools in how many minutes?

8 x 60= 480

He cleans 12 pools in 480 minutes

How many minutes does he take to clean a pool?

480/12 = 40

He cleans a pool in 40 minutes.

How much does he earn to clean a pool?

since he cleans 12 pools to earns $270

then 270/12 =22.5

Therefore, he charges $22.5 to clean a pool in 40 minutes.

Albert  9 pools in 7.5 hours

How many pools in how many minutes?

7.5 x 60= 450

He cleans 9 pools in 450 minutes

How many minutes does he take to clean a pool?

450/9 = 50

He cleans a pool in 50 minutes.

How much does he earn to clean a pool?

since he cleans 9 pools to earns $195.75

then 195.75/9 =21.75

Therefore, he charges $21.75 to clean a pool in 50 minutes.

13. L'Shonda purchased a container of juice that contains 200 calories. The label says that 40% of the calories are from carbohydrates. How many calories are from carbohydrates? ​

Answers

Answer:

80

Step-by-step explanation:

So I here's my thought process on this:

200 divided by 2 is 100

100 - 40% is 60, leaving 40 behind.

So double that and it would be:

200 - 40% is 120

200 - 120 = 80

80% is the answer.

Express in the form 1:n
3:12

Answers

Answer:

1:4

Step-by-step explanation:

Given

3: 12

To express in the form 1:n

Consider how to make 3 equal to 1, we simply divide 3 by 3 to get 1 as such, we would also divide 12 by 3

3:12

= 3/3:12/3

= 1:4

Comparing with 1:n, it is safe to say that n = 4

What is the solution?

Answers

Answer:

(1,-1)

Step-by-step explanation:

the solution is where the two lines meet up at and they meet up at (1,-1)

Alberto buys a 600 balloons. Some of the balloons are pink.and the rest is green. He wants a estimate of the number of pink balloons in the bag. He ask 4 of his friends to each select a random sample of 10 balloons. Each friend returns the sample before the next friend selects a sample.

What is the estimate number of the pink balloons in the bag

Answers

Answer: there are 120 baloons in the bag

Step-by-step explanation:

10/ 600 = 4/x

10x = 1200

10/1200

x= 120

I aint gonna lie this is easy points hehehehe

Answers

The answer is 8/125.....
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