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

Answers

Answer 1

Answer:

8feet

Step-by-step explanation:

Given the height of the cabin modeled by the equation;

H(t)= -16cos(3.14t/45)+24

at the maximum height dH/dt = 0

dH/dt = 3.14/45(16)sin(3.14t/45)

dH/dt = 1.116sin(3.14t/45)

0 = 1.16sin(3.14t/45)

sin3.14t/45 = 0/1.16

sin3.14t/45 =0

3.14t/45 = arcsin0

3.14t/45 = 0

3.14t  = 0

t = 0seccs

Substitute t = 0 into the expression

H(t)= -16cos(3.14t/45)+24

H(0)  = -16cos(3.14(0)/45)+24

H(0) = -16cos0 + 24

H(0) = -16+24

H(0) = 8feet

Hence the maximum height of the cabin is 8feet


Related Questions

There are 20 marbles in a jar, 5 are purple, 6 are green, 4 are pink and 5 are blue. You randomly select one marble.

What is the probability that you will randomly select either a blue or purple marble?

Answers

Answer: 5/20 for blue and purple: Step-by-step explanation: it's a total of 20 marbles and 4 colors for each marbal so if i had to guess 5 for blue and purple is 10/20 when added but it says either that why i put 5 instead. If it's wrong answer I am very sorry i did not get it right.

Have a good day and i hope this help you with the question given above.

I need help with 3/1 2 - 1/1 3​

Answers

Answer:3/

1

Step-by-step explanation: 0 < 2 < 3 = 3

0 is less than 2 is less than 3 is equal to 3

0/

1

< 2/

1

< 3/

1

= 3/1

h o p e      i t      h e l p s O_O

A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.

Answers

Answer:D

Step-by-step explanation:

The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?

Answers

Answer:

The number of hours.

Step-by-step explanation:

The dependent variable is what you are mesuaring.

help and get brainliest!!!​

Answers

Answer:

a

Step-by-step explanation:

Find the 17th term of the arithmetic sequence –5, 1, 7, 13, …
A. 97
B. 107
C. 91
D. 87

Answers

Answer:

91

Step-by-step explanation:

the common diference is : d = ( 13)-(7)=(7)-(1)=(1)-(-5)=6

the first term is A1 = -5

the n-ieme term is : An = A1 +(n-1)d

An = -5+6(n-1)

An = 6n-11

the 17th term in the arithmetic sequence  is : A17 = 6(17)-11 =91

Answer:

c

Step-by-step explanation:

-5,1,7,13,19,25,31,37,43,49,55,61,67,73,79,85,91

Help me with this pls

Answers

Answer:

[tex]\displaystyle m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-9, 6)

Point (-3, 9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{9-6}{-3+9}[/tex][Fraction] Subtract/Add:                                                                                 [tex]\displaystyle m=\frac{3}{6}[/tex][Fraction] Simplify:                                                                                          [tex]\displaystyle m=\frac{1}{2}[/tex]

Answer:

C. 1/2

Step-by-step explanation:

(-9, 6) (-3, 9)

you need to subtract the x's and y's of both coordinates.

-9 - - 3 or -9 + + 3

x = 6

then, do y.

6 - 9 = 3

y = 3

then, divide the y by the x.

3/6 = 0.5

0.5 = 1/2

your answer is C. 1/2

Help me find y intercept, slope, and linear function

Answers

Answer:

y=5 m=3

Step-by-step explanation:

i mean it shows you the y intercept and the slope and the linear function all in that one picture

Answer:

y-intercept = 5  

slope = -1/3

Step-by-step explanation:

Steven bought a gallon of milk from the store. There are approximately 0.94 liter
in a quart. Approximately how many liters are in a gallon?*

A. 9 L

B. 0.94 L

C. 3.76 L

D. 9.4 L

Answers

9 L before we got to the next time you were going to be a great night to me I

A boat travels 8 miles upstream in the same amount of time it can travel 12 miles downstream. In still water the speed of the boat is 5 mi/h. What is the speed of the current?

Answers

Answer:

1 mi/hr

Step-by-step explanation:

Given that:

Speed in still water, s = 5 mi/hr

Let speed of current = x

Time = distance /speed

Upstream (subtract speed of current) = 5 - x

Upstream time = 8 / 5 - x - - - (1)

Downstream (add speed of current) = 5 + x

Downstream time = 12 / 5 + x - - - (2)

Equate (1) and (2)

8 / (5 - x) = 12/ (5 + x)

8(5 + x) = 12(5-x)

40 + 8x = 60 - 12x

40 - 60 = - 12x - 8x

-20 = - 20x

x = 1

Spwed of current = 1 mi/hr

An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages

Answers

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 =  35 + 4 = 39

Check:  5 + 39 = 44

Please show work, i’ll mark as brainliest

Answers

Answer:

y=4

x=-3

Step-by-step explanation:

4(-3)-9y=-48

-12-9y=-48

-9y=-36

y=4

x=-3

Answer:

simple please follow me and mark it brainliest

Step-by-step explanation:

given 4x-9y=-48

x=-3

substituting value of x in given equation

We get

4(-3)-9y=-48

-12-9y=-48

-9y=-48+12

y=-36/-9

y=36/9

y= 4

Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per square foot, how much will it cost Jenna to make her birdhouses?

Answers

Answer:

$11.76

Step-by-step explanation:

We first need to find the amount of plywood for all birdhouses.

2 3/5 * 8 = 104/5 or 20.8 or 20 4/5

Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.

20.8 * 0.56 = $11.648 or estimated $11.65

Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.

21 * 0.56 = $11.76

Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.


[tex]7 {x}^{3} + 4x - 5 + 8 {x}^{5} [/tex]
What is the degree of the polynomial?

A. 0
B. 1
C. 3
D. 5​

Answers

Answer:

D

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of a term within the polynomial.

Given

7x³ + 4x - 5 + 8[tex]x^{5}[/tex]

The term with the largest exponent is 8[tex]x^{5}[/tex] with exponent 5

Thus the polynomial is of degree 5 → D

If y represents a child's age, which inequality shows that you must be older than 4 to attend an elementary school?

Answers

Step-by-step explanation:

y> 4

y is greater than 4.

hope this helps

In one year, the toll for passenger cars to use a tunnel rose from $3 to $3.50. What is the percent increase? Remember to round to nearest whole number.​

Answers

17% increase

Increase = 50
Original amount = 300

50/300 = 0.166
0.166 x 100 = 16.6 or 17 to the nearest whole number

× - 10 = 4. That's the full question ​

Answers

Answer:

x-10=4

×=4+10

×=14

..............

He pressure of a tyre is 32 pounds per square inch. Given 1 pound = 0.4536 kilograms 1 inch = 2.54 centimetres Work out the pressure in grams per square centimetre.

Answers

Step-by-step explanation:

1pound =0.4536kiligrams=,453.6grams

1square inch =2.54×2.54=6.4516

(32pounds/inch√2square

×453.6g)

(14515.2g/inch √2

÷6.4516)/6.4516

(2,262.34414)1cm√2

2262g/cm2

A tree 16 feet tall casts a shadow which forms an angle of 40° with the ground. How long is the shadow to the nearest hundredth of a foot?

Answers

Answer:

x = 19.06 feet

Step-by-step explanation:

Given that,

The length of a tree, h = 16 feet

It casts a shadow which forms an angle of 40° with the ground.

We need to find the length of the shadow. We can find it using trigonometry such that x be the length of the shadow. So,

[tex]\tan\theta=\dfrac{h}{x}\\\\x=\dfrac{h}{\tan\theta}\\\\x=\dfrac{16}{\tan(40)}\\\\x=19.06\ \text{feet}[/tex]

So, the length of the shadow is 19.06 feet.

What is the theoretical probability of
randomly picking a triangle from the shapes
below?
A
B
С
1
4
3
7

Answers

Answer:

I don't know. I need the whole question to answer.

Step-by-step explanation:

Sorry

-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D

Answers

Answer:

Step-by-step explanation:

Choose the correct operation and power of ten that would be used to convert 8 centiliters to liters.

Answers

8 x 10^2 ? I’m not quite sure what ur asking

Answer:

divide by 100

Step-by-step explanation:

i think i did the same quiz your doing

Help please, please

Answers

Since they’re in the same place you would do for 4 X -3 equals 115 and take it from there then you would find your answer and you may have to subtract it by 180

Answer:

x = 17

Step-by-step explanation:

Assuming you require to find x

4x - 3 and 115 are same- side interior angles and supplementary, sum to 180°

4x - 3 + 115 = 180

4x + 112 = 180 ( subtract 112 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

find the slope of the line (17,-12) and (17,8)

Answers

The slope is undefined

Solve the system of linear equations by graphing
x=3 y= - 1/2.

1/2, 3

3,-1/2

-1/2,3

-3, -1/2

Answers

9514 1404 393

Answer:

  (b)  (x, y) = (3, -1/2)

Step-by-step explanation:

The point where the vertical line x=3 crosses the horizontal line y=-1/2 has coordinates (x, y) = (3, -1/2).

Dilations map rays to rays true or false

Answers

aaaaaaaaaaaaaAnswer:

a

Step-by-step explanation:

aaaaaaaaaaa

DILATION THEOREM FOR RAYS: A dilation maps a ray to a ray sending the endpoint to the endpoint. scale factor of the dilation is equal to 1, then the dilation maps the line to the same line. Otherwise, the dilation maps the line to a parallel line.

WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER!!!!!

Answers

Answer:

9 cm

Step-by-step explanation:

1/3x3=1

10-1=9

please due in 2 mins!!

Answers

Answer:

|-9 - (6)|

9 + (6) = 15

Step-by-step explanation:

You just sale the exercise from the bars that makes the 2 signs positives and finally yoy just put that in the calculator.

Please help please please ASAP please please help please ASAP ASAP please ASAP help please please ASAP please please help please please ASAP please please help anyone please I’m begging you please

Answers

Answer:

Step-by-step explanation:

2(63+4x+3)=276

4x+66=138

4x=72

x=18

AD=BC

AD=4x+3, using x=18 found earlier

AD=4(18)+3

AD=72+3

AD=75

Linear system
x-y=9
X+2y=27 ​

Answers

x=15 and y=6

15-6=9
15+2(6)=27
2(6)=12
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