Answer: Period = 2 seconds
Graph is shown below
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Explanation:
1 minute = 60 seconds
We have 30 revolutions every 60 seconds, so we can write the ratio
30 rev: 60 sec
Divide both parts by 30 to turn that "30 rev" into "1 rev"
30 rev: 60 sec
30/30 rev: 60/30 sec
1 rev : 2 sec
This tells us that each full revolution takes 2 seconds. This is the period of the ferris wheel. The period is the length of each cycle.
The cyclic or periodic nature of this motion heavily implies we'll be dealing with a sine or cosine function of some kind. Let's go with sine.
Side note: cosine is really a sine function in disguise (it's just a phase shifted version of it).
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The general sine curve equation is
y = A*sin(B(x-C)) + D
where
- |A| = amplitude
- B = 2pi/T with T being the period
- C handles phase shifts (left and right shifting)
- D handles vertical shifting, and y = D is the equation of the midline
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The wheel is 10 feet in diameter, so 10/2 = 5 is the radius. This is also the amplitude because it is the distance from the midline to either the highest point (10 ft) or lowest point (0 ft). So A = 5.
Since T = 2 is the period, this means,
B = 2pi/T
B = 2pi/2
B = pi
We don't have any phase shifts to worry about so C = 0.
The midline is D = 5 since this is halfway up
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Putting all the pieces together, we get this sine equation
y = A*sin(B(x-C)) + D
y = 5*sin(pi*(x-0)) + 5
y = 5*sin(pi*x) + 5
The graph is shown below.
x = time in seconds, y = height of the seat
We are considering the function
the graph of this function is the graph of the parent function
after applying the following steps.
1. multiply by -1:
is
reflected with respect to the x-axis.
2. multiply by 5:
is
shrinked towards the y axis.
for example, consider x=1/2
now this means that
is "lower" than
, which means there is a shrinking of the graph.
3. add 5:
is
shifted 5 units up.
4.
so the graph of the function a) opens down, b) is shifted 5 units up, c) is not wider than the parent function
Answer: False
We will multiply by 26 / 31 in the first number to get second number for fraction in simplest form.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
In the fraction,
The first number = 62
The second number = 52
Let the number which can be multiply by the fraction = x
Since, The given condition is,
Multiply the first number by to get the second number.
So, We can formulate;
⇒ 62 × x = 52
Solve for x, as;
⇒ 62 × x = 52
⇒ 62x = 52
Divide by 62, we get;
⇒ x = 52 / 62
Multiply and divide by 2;
⇒ x = 26 / 31
Therefore,
We will multiply by the number 26 / 31 in the first number to get second number for fraction in simplest form.
Learn more about the fraction visit:
brainly.com/question/21428159
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Answer:12c
Step-by-step explanation:
hey thays ort
Answer:
B
Step-by-step explanation:
L = 3x + 2
W = 2x - 3
Area = L * W
Area = (3x + 2)(2x - 3) Use FOIL to expand.
F (First): 3x * 2x = 6x^2
O (Outside): (3x)( - 3) = - 9x
I (Inside): 2 * 2x = 4x
L (Last): 2*(-3) = - 6
Answer = F + O + I + L
Answer = 6x^2 - 9x + 4x - 6 Reduce
Answer = 6x^2 - 5x - 6
Answer: B
