A ride in an amusement park features a swinging ship suspended from a height of 50 feet. The motion of the ship can be modeled by the graph below, where x represents the time, in seconds, since the start of the ride, and f(x) represents the angle, in radians, that the center of the ship makes with respect to the equilibrium position.
Select all the correct answers.
Answer: The first and last options are correct.
f(x) = pi/4 cos (pix/5 - pi/2)
f(x) = pi/4 sin (pix/5)
Step-by-step explanation
The graph shows that A = pi/4.
B = 10, so the period = 2pi/10 = pi/5.
sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.
Hope this helps :)
The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).
option (A) and (D) are correct.
It is given that height of 50 feet and graph is given.
It is to find f(x).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph shows that A = π/4.
B = 10, so the period = 2π/10 = π/5.
sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.
So, the option are (A) and (D).
Learn more about graph here:
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increase R700 in the Ratio 3:2
Step-by-step explanation:
³93521586335445555554555554488807799654
Which expression is NOT equivalent to
(m-5) *3?
a) 3 * m -15
b) 3 * m - 5
c) 3m - 15
d) 3 * m - 3 * 5
Answer:
b) 3 * m - 5
Step-by-step explanation:
i rember a test i took on these
Select the option that best describes the relationship
between the variables on the scatter plot.
35
positive, linear association
30
25
no association
20
15
positive, non-linear association
10
5
negative, linear association
10
12
Activate Windows
Answer:
4th one its negative,linear association
Step-by-step explanation:
The option that best describes the relationship between the variables on the scatter plot is negative, linear association.
What is a negative linear association?Variables have a negative association when the line of best fit is downward sloping. Variables have a linear association when the line of best fit is a straight line. Variables have a positive association when the line of best fit is upward sloping.
To learn more about linear functions, please check: https://brainly.com/question/26434260
Find the value of 24/25 divided by 2/5. Show your reasoning.
Answer:
12/5 or 2 2/5
Step-by-step explanation:
Multiply by the reciprocal then reduce the numbers with the greatest common factor, leaving 12/25*5 then multiply that and get your answer
What is the approximate volume of a cylinder with a radius of 7 cam and a height of 4 cm
Answer:
volume =
[tex] {7}^{2} \times 3.14 \times 2 \times 4[/tex]
Step-by-step explanation:
volume =area of the base circle × height
Find the circumference of a circular dog pen that has a radius of 35 meters. Use 227 for π.
Answer:
220
Step-by-step explanation:
Circumference of a circle is=diameter times pi
70=diameter because diameter is twice the radius
(22/7)70 is your answer
Help please !! need it asap
How many fluid ounces are in 2 gallons?
Answer:
256
Step-by-step explanation:
There are 20 monkeys in a zoo. There are 4 times as many lions monkeys as lions. How many lions are there
holt mcdougal chapter 7 online answer key
Answer:
saan po yung pic hindi kopo maindihan
O A. negative
O B. parabolic
O C. strong
O D. weak
Which one is it
Answer:
theres no question to match an answer to, bud..
Step-by-step explanation:
Answer:
plz send full question
Step-by-step explanation:
ok
What is the difference of 506 and 297
Answer:
209
Step-by-step explanation:
subtract
Answer:
209
Step-by-step explanation:
subtraction bro
f(x) = 3x^2 - 7 4x^2 – 3 Find f(2)
Answer:
f=5/8x^2+-3/2Divide both sides by two
Step-by-step explanation:
Hope that helped
Triangle BCD has vertices B(-8, 3), C(-4, 6), and D(2,0). If the triangle is reflected across the x-axis and dilated by a scale factor of 0.5 with respect to
the origin, what are the coordinates of the vertices of triangle B'C'D'?
A. B'(-4, 1.5), C'(-2,-3), D'(1, 0)
B. B'(-8, 3), C (-4,-6), D (2,0)
C. B*(-4,2), C (-2,-3), D'(1, 0)
D. B(-16, 6), C'(-8, -12), D'(4,0)
Answer: B'(-4, 1.5), C'(-2,-3), D'(1, 0)
Step-by-step explanation:
The coordinates of the vertices of triangle B'C'D' is B'(-4, 1.5), C(-2, 3) and D(1, 0)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in size of a figure. If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).
Given that Triangle BCD has vertices B(-8, 3), C(-4, 6), and D(2,0). If it is dilated by a factor of 0.5, the new point is at:
B'(-4, 1.5), C(-2, 3) and D(1, 0)
The coordinates of the vertices of triangle B'C'D' is B'(-4, 1.5), C(-2, 3) and D(1, 0)
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plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!
An experiment involves flipping a fair coin and rolling a fair six-sided die. List all possible outcomes of the experiment. Use an organized list, table, or tree diagram.
A. What is the probability of getting a head and an even number?
B .What is the probability of getting a tail and the number 4?
D .What is the probability of getting a 5?
Answer:
Step-by-step explanation:
1. 1/2
2. 1/4
3. 1/8
Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket, attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue
Answer:
New price is $12.75
New attendance is 57500
Step-by-step explanation:
For starters, we use the relation.
18 - 3x
Since we don't know the number of times we're expected to deduct $3 from the price.
Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.
Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be
(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0
Expanding the bracket, we have
[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have
900000 + 105000x - 30000x² = 0 or
-30000x² + 105000x + 900000 = 0
Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a
x = -105000 / 2 * -30000
x = -105000 / -60000
x = 1.75
From our earlier equations, the new price then is
18 - 3(1.75) = 18 - 5.25 = $12.75
The new attendance also is
40000 + 10000(1.75) =
40000 + 17500 = 57500
Write An Equation
Write an equation for a parabola that opens up, is narrower than [tex]y=x^{2}[/tex], and has vertex (2, -5)
Write an equation for a parabola that opens down, is wider than [tex]y=x^{2}[/tex], and has vertex (-4, 3)
Answer:
1) y = 2(x - 2)² - 5
2) y = -(x + 4)² / 2 + 3
The human body is made up of about 9.3% hydrogen. What is the amount of hydrogen contained in a person who weighs 140 pounds? Round you answer to the hundredths place
Answer:
We know that for a human body 9.3% of its total mass is hydrogen.
Now we have a person with a mass of 140 lb.
Then we have that the 100% of the mass is 140lb, the 9.3% of this is hydrogen.
We can write:
9.3% = X
100% = 140lb
We want to find the value of X (mass of hydrogen)
Then we can take the quotient of these two equations to get:
(9.3%/100%) = X/140lb
Now we can isolate the variable X to get:
(9.3%/100%)*140lb = X = 13.02 lb
So this person has about 13.02 lb of hydrogen in his/hers body.
Brainliest for correct answer
Answer:
A
Step-by-step explanation:
6 - 7 (4k + 2) = ??
Can anyone help me!!
Answer:
help on chemistry is help on math for you
What is the area of this semicircle if the radius is 6m?
Can somebody please help me with this question?
To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)
(5-2) · 180 = 3 · 180 = 540.
Now, all we have to do is add up all of the angles:
75 + 126 + 126 + 81 + c = 540
c = 132
Please please help please
Answer:
5/4
Step-by-step explanation:
6 1/4 is equal to 25/4 and if you do 5 times 5/4 you get 25/4 which is 6 1/4
Answer:
5/4
Step-by-step explanation:
In triangle PQR, find the measure of angle P .
Answer:
P=0.94619355852°
Step-by-step explanation:
Use cos:
cosA=adjacent/hypotenuse
cosP=33.8/57.8
P=arccos(0.5847750865)
P=0.94619355852°
Answer:
54.1
Step-by-step explanation:
If you put the reverse cos sign and divide 33.8 by 57.6 you get 54.069…
that’s the answer. In the calculator it should look like this (check attached image)
HURRRY I DONT KNOW HOW PLZ SHOW WORK
Answer:
you need a permission
Step-by-step explanation:
the owner of that page needs to give you permission to enter that page.
As in Example 1, suppose a die is rolled. Find each probability.
the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer leg
Answer:
Short leg = 24inches
Long leg = 32inches
Hypotenuse = 40inches
Step-by-step explanation:
Given:
shorter leg is 8inches shorter than the longer leghypotenuse is 8inches longer than the longer leglonger leg = x inchesPythagorean Theorem:
a²+b²=c² → (x-8)²+ x² = (x+8)²
Solving for both sides:
x² - 16x+ 64 + x² = x²+ 16x + 64
More Painful Solving:
x² - 32x = 0
x(x-32) = 0
x=0 or 32
Can't use the 0 so we trash it!
x=32
add 8 to get the hypotenuse and subtract 8 to get the short leg
Marcus has 25 baseball cards. Each card is worth a different amount of money. The cards also represent players from different teams in the MLB.3 There are two types of data that we can collect - numerical and categorical. 1 What is an example of numerical data that Marcus can collect about his baseball cards?2 What is an example of categorical data that Marcus can collect about his baseball cards?
1. You can find what the cheapest and most expensive card is.
2. You could find what percent of the people on your cards are brunettes.
You could also find what the average strikes for a team.
You're welcome