The cosine function for the ferris wheel ride is an illustration of a sinusoidial function
The equation of the Ferris wheel is y = -190cos(π / 120 t) + 195
How to determine the cosine function?A cosine function is represented as:
y = Acos(Bt - C) + D
From the complete question, the diameter of the ferris wheel is 380 feet.
The amplitude represents the radius, and this is calculated as:
A = 380/2
A = 190
The function becomes:
y = 190cos(Bt - C) + D
The period of the function is:
T = 2π / B
From the complete question, one full rotation is completed in 4 minutes.
Convert the time to seconds
T = 4 * 60
T = 240.
So, we have:
240 = 2π / B
Divide both sides by 2
120 = π / B
Make B the subject
B = π / 120
The function becomes
y = 190cos(π / 120 t - C) + D
From the question, the ferris wheel is 195 feet above the ground.
This represents the vertical shift.
So, we have:
D = 195
The function becomes
y = 190cos(π / 120 t - C) + 195
Also, we have:
The lowest point is at t = 0 and the function is a negative cosine function
So, we have:
C = 0
The function becomes
y = -190cos(π / 120 t) + 195
Hence, the cosine function is y = -190cos(π / 120 t) + 195
Read more about cosine functions at:
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4x−4<8 AND 9x+5>23
Doing Khan Academy
HelP!!
Answer:
x<3 and x>2
Step-by-step explanation:
write the symbols this < and > to get the correct answer
An integer number is chosen randomly between 1 and 1000. What is the probability that the number picked is divisible by 3 or 5 (i. E. , either 3 or 5 or both)?
Answer:
Umm..... sorry but.....my answer came.......
The probability that the number picked is divisible by 3 or 5 is 0.555.
What is probability?Probability sampling is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.
An integer number is chosen randomly between 1 and 1000.
The number of numbers divisible by 3, which is;
[tex]\rm \dfrac{1000}{3}=3333.3 = 333[/tex]
The number of numbers divisible by 5, which is;
[tex]\rm \dfrac{1000}{5}=200[/tex]
The probability that the number picked is divisible by 3 or 5 is;
[tex]\rm Probability=\dfrac{Number \ divisble \ by \ 3+ Number \ divisble \ by \ 5}{1000}\\\\ Probability =\dfrac{333+200}{1000}\\\\Probability=\dfrac{533}{1000}\\\\Probability=0.533[/tex]
Hence, the probability that the number picked is divisible by 3 or 5 is 0.555.
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help me!!!!Determine the value of each car after 5 years.
The least common denominator of 7/12, 1/3, and 3/4 is
Answer:
12.
Step-by-step explanation:
3, 4, and 12 all divide into 12 .
NO LINKS. Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: Altitude
Step-by-step explanation:
if p(x)=x2+2x-5 and g(x)=x-3, what is p(x) – gx)?
Answer:
x2+x-2
Step-by-step explanation:
i had this question before
solve pls brainliest
Answer:
5/6
Step-by-step explanation:
11/12 - 1/12 = 10/12
10 divided by 2 = 5
12 divided by 2 = 6
5/6
Answer:
⅚
Step-by-step explanation:
¹¹/12 - ¹/12 = ¹⁰/12
÷2 →
5/6
Please help! will give brainlest!
PLEASE HELP ASAP
(answer as many as you can please)
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum
Answer:
A) -4,-4/3,-4/9,-4/27
B) converge
C) no idea
If PQRS is a square and TR = 17, find each missing value. Round to the nearest tenth.
Step-by-step explanation:
correct me if I'm wrong.[tex]\huge\mathfrak\red{Hope it's help}[/tex]
Please answer this question throughly and with the work you used to answer it and I’ll give brainliest!
With the given budget, the inequality that must be used is:
$5.5*s ≤ $350
Which inequality is the correct one?
We know that the budget is $500.
Then, we know that there is a fixed cost of $150, then the budget left is:
$500 - $150 = $350
With these $350 they pay the food for the students, which costs $5.50 per student.
So the number of students that can go must be such that:
s*$5.50 ≤ $350
There says that the cost in food for the s students must be smaller than or equal to the remaining $350.
So the correct option is the second one.
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Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?
Answer:
£27
Step-by-step explanation:
1:3 = M:H
Mark gets £9
1 = £9
3: £9 x 3 = £27
Answer: the answer is £27
Step-by-step explanation: it is related to ratio if mark gets 9 so 9 times 3 . Equals to 27 . You can make criss cross way . 1 won't make the answer different. Hope it helps
Researchers randomly surveyed people at two amusement parks, Funland and Thrillville, to find out how many times they visit the park per year. Following are the data from the two surveys.
Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2
Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8
How many more times per year, on average, do people visit Thrillville than Funland?
On average, people visit Thrillville 2 more times per year than Funland.
AveragesTo determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:
Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2 = 4545 / 15 = 3Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8 = 100100 / 20 = 55 - 3 = 2Therefore, on average, people visit Thrillville 2 more times per year than Funland.
Learn more about averages in https://brainly.com/question/2426692
Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5
Answer:
The solution is x = 2
Step-by-step explanation:
i) 3x+2y=4
ii) 2x-y=5
Let's isolate y for the second equation
2x-y=5
2x-5 = y
y = 2x-5
Now use this y and substitute it in the first equation.
3x+2y=4
3x + 2(2x-5) = 4
3x + 4x - 10 = 4
7x / 7 = 14 / 7
x = 2
evaluate the expression when c=9 and d=4. 5c+d
Answer:
5(9)+4= 45+4.....= 49
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPP
Answer:
i dont know use the internet
Step-by-step explanation:
this is the right way
PLEASE HELP ASAP
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum
Answer:
i think it B
Step-by-step explanation:
The diagonals of quadrilateral EFGH intersect at D(1,3). EFGH has vertices at E(2,6) and F(-4,5). What must be the coordinates of G and H to ensure that EFGH is
a parallelogram?
Answer:
G(0, 0), H(6, 1)Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
Point D is the midpoint of both diagonals.
Endpoint of EG is point G with coordinates (x, y):
(2 + x)/2 = 1 ⇒ 2 + x = 2 ⇒ x = 0(6 + y)/2 = 3 ⇒ 6 + y = 6 ⇒ y = 0G = (0, 0)Endpont of FH is point H with coordinates (x, y):
(-4 + x)/2 = 1 ⇒ - 4 + x = 2 ⇒ x = 4 + 2 ⇒ x = 6(5 + y)/2 = 3 ⇒ 5 + y = 6 ⇒ y = 6 - 5 ⇒ y = 1H = (6, 1)Help me actually,
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠R=
°
Answer:
Step-by-step explanation:
Cos(R) = adjacent / hypotenuse
Adjacent is the side connected to the angle
Adjacent = 12
Hypotenuse = 13
Cos(R) = 12 / 13 = .9231
Now you find R by taking the inverse cos of (R). On most calculators it is 2nd function cos
R = cos-1(0.9231)
Answer: R = 22.62 degrees
[tex]\\ \rm\Rrightarrow sinR=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sinR=\dfrac{5}{13}[/tex]
[tex]\\ \rm\Rrightarrow sinR=0.38[/tex]
[tex]\\ \rm\Rrightarrow R=sin^{-1}(0.38)[/tex]
[tex]\\ \rm\Rrightarrow R=22.33°[/tex]
BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
I’m not entirely sure with this question, anyone can please help?
Step-by-step explanation:
3x + 4 = 72 - x
3x - x = 72 - 4
2x = 68
x = 39
HELP NO LINKS OR TROLLING
Answer:
20.28 cm²
Step-by-step explanation:
The rectangle on the bottom is 7 cm by 2 cm.
The semicircle has a diameter of 7 cm - 1 cm - 2 cm = 4 cm
diameter = 4 cm
radius = diameter/2 = 2 cm
total area = area of semicircle + area of rectangle
total area = (1/2)πr² + LW
total area = (1/2)(3.14)(2 cm)(2 cm) + 7 cm × 2 cm
total area = 20.28 cm²
Area of rectangle
2(7)14cm²Area of semicircle
π(7-3/2)²/2(4/2)²π/24π/212.56cm²/26.28cm²Total area
6.28+1420.28cm²Which of the following is equivalent to : 3x + 6 + 2x + 2 + x
A. 5x + 8
B. 6x + 8
C. 14x
Evaluate the expression when x = 3.
x² + 6x - 3
Answer:
X=3
[tex] {3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24[/tex]
help ! 50 points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume
I need help. SO confused
Answer:
The answer would be 1/4% or 25%.
Step-by-step explanation:
The reason why is that there were 20 students in the class. 5 people wanted to work in groups. That is 25% of the students. That is why 25% or 1/4% is your answer.
-3.28+4.4-9.7
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What is the value of x?
Answer:
30 degrees
Step-by-step explanation:
because if its 60 at the bottom and 30 on the left it only makes sense that it would be 30 on the right.
Also can you mark brainlyest you dont have to thoe
Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 28.25 dollars
Answer:
y = -7.235451 x^2 + 402.5542 x - 2382.736
Find the value of x
.
12.5,−10,−7.5,x
; The mean is 11.5
.
Step-by-step explanation:
please mark me as brainlest
Answer:
x = 51
Step-by-step explanation:
If the mean = 11.5, then that means all numbers added together divided by four = 11.5. Let's write this algebraically:
[tex]\frac{12.5+(-10)+(-7.5)+x}{4}=11.5[/tex]
Now, let's solve for x:
[tex]12.5-10-7.5+x=11.5(4)[/tex]
[tex]-5+x=46[/tex]
[tex]x=51[/tex]
I hope this helps!