Consider The Giant Wheel at Cedar Point again. The Giant Wheel is a circle with diameter 128 feet which sits on an 8 foot tall platform making its overall height 136 feet.
It completes two revolutions in 2 minutes and 7 seconds. Assuming that the riders are at the edge of the circle, find a sinusoid which describes the height of the passengers above the ground t seconds after they pass the point on the wheel closest to the ground.
Answers
Answer:
h(t) = 72 + 64·sin(2π(t -31.75)/127)
Step-by-step explanation:
The generic form will be ...
h(t) = a +b·sin(c(t -d))
The value of 'a' is the midline of the height function, halfway between the minimum (8) and the maximum (136).
a = (8 +136)/2 = 144/2 = 72
The value of 'b' is the amplitude of the height function, half the difference between the minimum and the maximum.
b = (136 -8)/2 = 128/2 = 64
The value of 'c' is the frequency of the motion in radians per second. It will be ...
c = 2π/(period in seconds) = 2π/127
The value of 'd' is the number of seconds from the minimum (8 ft) until the wheel first reaches the midline. It will be 1/4 of the revolution time:
d = 127/4 = 31.75
Then our finished sinusoidal function is ...
h(t) = 72 + 64·sin(2π(t -31.75)/127)
_____
Additional comment
If we were to use the cosine function instead, the equation could be simpler:
h(t) = 72 -64·cos(2πt/127)
The cosine already starts at its maximum value, so height will be at a minimum if we use the negative of the cosine function.
Related Questions
Simplify the ratio 25 :15
Answers
Answer:
5/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 25 and 15 is 5
Divide both the numerator and denominator by the GCD
25 ÷ 5
15 ÷ 5
Reduced fraction:
5
3
Therefore, 25/15 simplified to lowest terms is 5/3.
brailiest pls hope it helps
Can anyone help me with this question?
Answers
Answer: Here you go
Explanation:
Raduis is 2.5cm
Diameter 5cm
Circumference 15.70796cm or 16 rounded up because 2 times pie time 2.5 because 2.5 is the radius which if you calculate is 15.7 because 2 x 3.1415 x 2.5 = 15.7
A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50,
a 35% chance it will be worth $60 and a 25% chance it will be worth $70. What expected value
does this broker assign to this stock's end-of-the-year price?
Answers
The expected value that this broker assign to this stock's end-of-the-year price is $58.50.
Using this formula
Expected value=Stock worth at $50+ Stock worth at $60+ Stock worth at $70
Where:
Stock worth at $50=40% chance
Stock worth at $60=35% chance
Stock worth at $70=25% chance
Let plug in the formula
Expected value=(40%×$50)+($35%×$60)+($25%×$70)
Expected value=$20+$21+$17.5
Expected value=$58.50
Inconclusion the expected value that this broker assign to this stock's end-of-the-year price is $58.50.
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https://brainly.com/question/12834805
Use synthetic division to find the result when 3x^4 – 16x^3 + 29x^2 - 17x - 2 is divided by x – 2
Answers
Answer:
2
Step-by-step explanation:
Zoin is reading a 300-page book.He is 41% finshed. How many pages of the book has he read so far?
Answers
Answer: 41% of 300 is 123
this was a basic answer
He has read 123 pages of the book so far.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Zoin is reading a 300-page book.He is 41% finshed.
Therefore, we get;
41% of 300
41% x 300
0.41 x 300
= 123
Hence,
The number of pages is 123
Learn more about the unitary method, please visit the link given below;
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Find the product. Simplify your answer.
(m+2)(3m+2)
Answers
there you go the answer is in the picture
3m^2+8m+4
Determine whether a quadratic model exists for the set of values below. If so, write the model. f(0) = -4, f(3) = -19, f(-1) = -11
Select the correct choice below:
A) A quadratic model does exist. It is f(x)= ?
B) A quadratic model does not exist.
Answers
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
Alvin’s family used 18.5 gallons of gas to drive 518 miles. How many miles did they drive per gallon of gas?
Please help me
Answers
Answer:
the answer is 1.2
Step-by-step explanation:
The number of miles Alvin’s family drive per gallon of gas is 28 miles.
Given that, Alvin’s family used 18.5 gallons of gas to drive 518 miles.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of miles drive per gallon of gas = Total number of miles ÷ Total number of gallons
= 518 ÷ 18.5
= 28 miles
Hence, the number of miles Alvin’s family drive per gallon of gas is 28 miles.
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Plz help!!!!! Need theses as soon as possible. No links plz!!!!
Answers
Answer:
1. 3
2. 0, 620
3. Positive
4. 2006
5. 2637
what is an type of ratio that has both terms expressed
Answers
Answer:
rate
Step-by-step explanation:
please mark me as brainliest
In a survey of 280 adults over 50, 75% said they were taking vitamin supplements. Find the margin of error for this survey if we want a 99% confidence in our estimate of the percent of adults over 50 who take vitamin supplements. (Round to the nearest thousandths.)
Answers
The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067
The formula for calculating the margin of error is expressed as:
[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportion
n is the sample size
Given the following parameters;
p = 75% = 0.75
n = 280
z = 2.576
Substitute into the formula
[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]
Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067
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simplify _4x+2y+z_3x+2y_2z
Answers
Answer:
maybe 3xz + 4yz + 4x + 2y
Step-by-step explanation:
I tried my best!
Create polynomial functions using the given information:
A degree 9 polynomial with at max 5 positive zeros and at max 3 negative zeros
Answers
It's pretty much simple. Since we can factor a polynomial by its zeros, lets write one of degree nine :
X(X-1)(X-2)(X-3)(X-4)(X-5)(X+1)(X+2)(X+3)= X^9-9X^8+6X^7+126X^6-231X^5-441X^4+944X^3+324X^2-720X
This polynomial is of degree 9 and has exactly 5 strictly positive zeros : 1, 2, 3, 4, 5
And it has 3 negative zeros : - 1, -1, - 3
And it has 0 as a zero too.
There is also this one :
(X-1)(X-2)(X-3)(X-4)(X²+1)(X+1)(X+2)(X+3) = X^9-4X^8-13X^7+52X^6+35X^5-140X^4+13X^3-52X^2-36X+144
It has 4 positive zeros : 1, 2, 3, 4.
It has complex zeros : i and - i
3 negative zeros : - 1, - 2 , - 3
Good Luck
Local Internet service costs $685 for 24 months. This includes a one-time installation fee of
$85. What is the monthly fee?
Answers
Answer:
25
Step-by-step explanation:
685-85 = 600
600 divided by 24 = 25
Hope this helps!
is there a way to place 29 books on shelves so that each shelf has the same number of books with more than one book on each shelf explain
Answers
Answer:
No, 29 is prime
Step-by-step explanation:
Topic 3: Performance Assessment Form A
Due 11/18/21
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the function V
to identify the x-intercepts. List them in order from least to greatest.
0
1
2
3
4
5
3
The x-intercepts are -
, and
Part
Which, if any, of the x-intercepts has meaning in the context of the problem? Explain.
B 1
Ω 6
Roviow progress
Question 3
oro
Back
Next →
Answers
Answer:
Suppose, for example, we graph the function
f
(
x
)
=
(
x
+
3
)
(
x
−
2
)
2
(
x
+
1
)
3
.
Step-by-step explanation:
What is Two-thirds divided by one-sixth?
An area model with 4 shaded parts and 2 unshaded parts. The shaded parts are labeled two-thirds.
2
3
4
6
Answers
Answer: 4
Step-by-step explanation:
So, what I do to divide fractions is to turn them into reciprocals, which means changing it into a multiplication problem and turning the second fraction upside down. So, [tex]\frac{2}{3}[/tex] x [tex]\frac{6}{1}[/tex]. We multiply across, so 2 x 6 is 12, and 3 x 1 is 3, which gets us to [tex]\frac{12}{3}[/tex]. Since this is an improper fraction, we can simplify by dividing 12 by 3 to get 4. Hope this helps! :)
Answer:
4 (C) hope this helps!!
BYEEEEEEEEE!
Pythagorean theorem
How do you visualize it and and solve it drawn out
Answers
Answer:
so using the Pythagorean theorem is simple. what you want o do for this question is to make a graph to visualize it. since the top of the ladder is 7 feet up the house, you would go up 7 points, and its 2 1/2 feet from the house, you would move out 2 1/2 points. The ladders length is the hypotenuse, or the longer side that you get when you connect those two points.
Step-by-step explanation:
Find c
[tex]a+a=10\\a+b=35\\b-z=5\\z+a+b+c= 10[/tex]
Answers
25+5+30+(-50)=10
Answer= -50
a= 5
b= 30
z= 25
c= -50
Use the drop down to chose the inequality that makes each statement true. A. -17 - 8 B. -27 - -32 C. 110 - -212 D. -432 - 375
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}[/tex]
[tex]\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}[/tex]
[tex]\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}[/tex]
[tex]\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}[/tex]
[tex]\huge\text{Answering \textsf{your question(s)....}}[/tex]
[tex]\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}[/tex]
[tex]\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}[/tex]
[tex]\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}[/tex]
[tex]\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\boxed{\frak{Amphitrite1040:)}\ \bf \heartsuit}[/tex]is this the right answer?
Answers
Answer:
Yes
Step-by-step explanation:
Area rule is correct
On the previous screen, you said the daily recommended amount of vitamin C is `80` milligrams. Yosef drank `4` ounces of orange juice. What percent of the daily recommended amount of vitamin C is this?A `16`-ounce bottle of orange juice contains `200` milligrams of vitamin C, which is `250\%` of the daily recommended amount (for adults).
Answers
Answer: 62.5%
Step-by-step explanation:
We can just divide 250% by 4 since Yosef drank 1/4th of the bottle.
250 / 4 = 62.5
Answer:
62.5
Step-by-step explanation:
A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectangular part of the norman window to allow in as much light as possible, if there are only 12 ft of the frame material.
Answers
Answer:
the answer is 12 feet
Step-by-step explanation:
(2/3a - 5) - (1/3a + 3) simplify
Answers
Answer:
i have no idea mate
Hey there!
(2/3a - 5) - (1/3a + 3)
= 2/3a - 5 - 1/3a + 3
COMBINE the LIKE TERMS
= (2/3a - 1/3a) - ( -5 + 3)
= 1/3a - 2
Therefore, your answer should be: 1/3a - 2
OR
I would really appreciate help with this. I will give brainliest
Can any of you tell me the types of frequencies in math and explain how to find each one? It would be really really helpful if you answered:)
Answers
Answer:
Grouped Frequenct Distribution
UnGrouped Frequency Distribution
Step-by-step explanation:
Figures or numbers collected for some definite purpose is called data. Frequency is the value in numbers that shows how often a particular item occurs in the given data set. There are two types of frequency table - Grouped Frequency Distribution and Ungrouped Frequency Distribution. Data can be shown using graphs like histograms, bar graphs, frequency polygons, and so on.An airplane flies with a constant speed of 720 miles per hour. How far can it travel in 14 minutes?
Answers
Answer:
It is 168 miles
Step-by-step explanation:
720 divided by 60 is 12. 12 times 14 is 168
What are the answers pls I don’t get it
Answers
Answer:
answers are (1+0.13)x and 1.13x
Step-by-step explanation:
i did this one last year and got it right :)
HELP!! YOU'LL GET BRAINLIEST
Answers
Answer:
b = 1
Step-by-step explanation:
i put in the question as png pls help
Answers
Answer:
Screen shot it then save as then save as a png then turn it in
Step-by-step explanation:
The product of .010 and .001 is
Answers
Answer:
its 0.00001
I hope this helps